暗記メーカー

暗記メーカー

​

Differential Calculus

Differential Calculus
84問 • 2年前
  • John Cerda
    • 通報

    問題一覧

  • 1

    Find the f(-3)

    -262

  • 2

    Find f(100)

    458

  • 3

    Find Ro at temperature of 0°C

    25 Ohm

  • 4

    Evaluate the limit

    1/3

  • 5

    Evaluate the limit

    3

  • 6

    Evaluate the limit

    e

  • 7

    Evaluate the limit

    No Limit

  • 8

    Find the first derivative

    4x^3

  • 9

    Find y'

    sec^2 (x)

  • 10

    Find derivative

    x^x(1 + ln x)dx

  • 11

    Find the 2nd derivative at x = 2

    0.375

  • 12

    Find y^(50)

    50!

  • 13

    Find 99th derivative

    -cos x

  • 14

    What is first derivative dy/dx

    -y(1 + ln xy)/x

  • 15

    Find dy/dx

    1/(y² + 1)

  • 16

    Find the slope

    3/2

  • 17

    Find the slope

    -4.94

  • 18

    Find the slope

    2/5

  • 19

    Find the angle

    70.53°

  • 20

    Find the angle

    71.57°

  • 21

    Find the equation

    5x + 4y - 41 = 0

  • 22

    Find the equation

    2x + 3y - 6 = 0

  • 23

    Find the points

    (1.125, 4.5)

  • 24

    Find the rate

    140π cm^3

  • 25

    Find the rate

    -8

  • 26

    Find the allowable error

    0.0025 m

  • 27

    Find the allowable error

    4.71 mm³

  • 28

    Find the velocity

    35.60 ft/s

  • 29

    Find the velocity when accelaration is zero

    0.33 m/s

  • 30

    How fast is the third side increasing

    0.201 m/s

  • 31

    Determine the rate

    0.4 m/s

  • 32

    Find the rate

    0.64 m/s

  • 33

    How fast is surface area

    2 cm²/min

  • 34

    How fast is lower end moves

    15 m/min

  • 35

    Find the derivarive

    -2

  • 36

    Find the derivative

    (b/a) cos t

  • 37

    Find the slope

    -3

  • 38

    Find the equation

    2.6x - y - 3.85 = 0

  • 39

    Find the slope

    -1.73

  • 40

    Find the slope

    3

  • 41

    Find the critical points

    (-2, -14)&(2, 18)

  • 42

    Find the inflection points

    (1, 7)

  • 43

    Definition

    Extreme Value Theorem

  • 44

    Definition

    Mean Value Theorem

  • 45

    Definition

    Rolle's Theorem

  • 46

    Definition

    Cauchy Mean Value Theorem

  • 47

    Given a function f(x) = Ax² + Bx + C, When x = 3, f(x) = -12, x = 2, f(x) = -15 and minimized at x = 1. Find A.

    1

  • 48

    Given a function f(x) = Ax² + Bx + C, When x = 3, f(x) = -12, x = 2, f(x) = -15 and minimized at x = 1. Find B.

    -2

  • 49

    Given a function f(x) = Ax² + Bx + C, When x = 3, f(x) = -12, x = 2, f(x) = -15 and minimized at x = 1. Find C.

    -15

  • 50

    Consider the function: f(x) = x³/9 - 3x. At what interval will the function increasing?

    (-infinity, -3) and (3, infinity)

  • 51

    Water leaking unto a floor forms a circular pool. The radius of pool increases at rate of 4 cm/min. How fast is the area of pool increasing when radius is 5 cm.

    40π cm²/min

  • 52

    Oil spilling from a ruptured tanker spread in a circle on the surface of the ocean. The area of the spill increases at a rate of 9π m²/min. How fast is radius of spill increasing when radius us 10 m?

    9/20 m/min

  • 53

    Find the value of a

    2

  • 54

    Find the minimum value

    12

  • 55

    Definition

    Function

  • 56

    Definition

    Identity

  • 57

    It occurs when no general limit exists at the given x value.

    Jump Discontinuity

  • 58

    It occurs when a general limit exists but function value is not defined at that particular x value.

    Point Discontinuity

  • 59

    Point Discontinuity is also referred as _____

    Removable Discontinuity

  • 60

    It occurs when the function does not have limit and it is not defined at that particular x value.

    Infinite Discontinuity

  • 61

    Infinite Discontinuity is also referred as _____.

    Essential Discontinuity

  • 62

    A collection of related numbers or ordered pairs

    Relation

  • 63

    It is specific kind of relation such that every input has only one matching output

    Function

  • 64

    It is set of appropriate input that a function accepts.

    Domain

  • 65

    If y = f(x) is any function, then g(y) or y = f^-1 (x) is its inverse function.

    Inverse Function

  • 66

    If y = f(x) is a function, where y = f(-x) = -f(x)

    Odd Function

  • 67

    If y = f(x) is a function, where y = f(-x) = f(x)

    Even Function

  • 68

    If y = f(x) is a function, where y = f(x + nT) = f(x)

    Periodic Function

  • 69

    A maximum or minimum point occurs when point is lower or higher than all points.

    Relative Extrema

  • 70

    Points that are the highest or lowest of all the local extrema in graph.

    Absolute Extrema

  • 71

    It is an iteration method for solving the zero of a function where f is assumed to have continuous derivative f, Xn+1 = Xn - f(Xn)/f'(Xn).

    Newton's Method

  • 72

    A manufacturer has 600 liters of a 12% solution of acid. How many liters of 30% acid solution must be added to it so that acid content in the resulting mixture will be more than 15% but less than 18?

    Between 120 L and 300 L

  • 73

    Find the value of Sqrt(20+Sqrt(20+Sqrt(20+.......)))

    5

  • 74

    Find the c

    Ln(e - 1)

  • 75

    Find the c

    2 ± 1/√3

  • 76

    Find the k

    11

  • 77

    The value of f(x) is 12 when x = 6. If f(x) ≤ 10, what is f(x) when x = 15?

    102

  • 78

    Find the linear approximation

    L(x) = (3 - x)e^(-2)

  • 79

    Find the linear approximation

    33x - 150

  • 80

    Find the second derivative

    -2a²x²/y⁵

  • 81

    Find the domain

    x²/9 + y²/1 > 1

  • 82

    Find the partial derivative

    2xy³z⁴

  • 83

    It occurs when no general limit exists at the given x value.

    Jump Discontinuity

  • 84

    It occurs when no general limit exists at the given x value.

    Jump Discontinuity

    • Basic Communication I

    Basic Communication I

    John Cerda · 100問 · 2年前

    Basic Communication I

    Basic Communication I

    100問 • 2年前
    John Cerda

    Basic Communication II

    Basic Communication II

    John Cerda · 100問 · 2年前

    Basic Communication II

    Basic Communication II

    100問 • 2年前
    John Cerda

    Basic Communication III

    Basic Communication III

    John Cerda · 50問 · 2年前

    Basic Communication III

    Basic Communication III

    50問 • 2年前
    John Cerda

    Amplitude Modulation I

    Amplitude Modulation I

    John Cerda · 100問 · 2年前

    Amplitude Modulation I

    Amplitude Modulation I

    100問 • 2年前
    John Cerda

    Amplitude Modulation II

    Amplitude Modulation II

    John Cerda · 100問 · 2年前

    Amplitude Modulation II

    Amplitude Modulation II

    100問 • 2年前
    John Cerda

    Angle Modulation I

    Angle Modulation I

    John Cerda · 100問 · 2年前

    Angle Modulation I

    Angle Modulation I

    100問 • 2年前
    John Cerda

    Angle Modulation II

    Angle Modulation II

    John Cerda · 58問 · 2年前

    Angle Modulation II

    Angle Modulation II

    58問 • 2年前
    John Cerda

    Transmission Line I

    Transmission Line I

    John Cerda · 100問 · 2年前

    Transmission Line I

    Transmission Line I

    100問 • 2年前
    John Cerda

    Transmission Line II

    Transmission Line II

    John Cerda · 37問 · 2年前

    Transmission Line II

    Transmission Line II

    37問 • 2年前
    John Cerda

    Integral Calculus

    Integral Calculus

    John Cerda · 53問 · 2年前

    Integral Calculus

    Integral Calculus

    53問 • 2年前
    John Cerda

    DC Circuit

    DC Circuit

    John Cerda · 63問 · 2年前

    DC Circuit

    DC Circuit

    63問 • 2年前
    John Cerda

    Differential Equation

    Differential Equation

    John Cerda · 21問 · 2年前

    Differential Equation

    Differential Equation

    21問 • 2年前
    John Cerda

    ELEX 2

    ELEX 2

    John Cerda · 100問 · 2年前

    ELEX 2

    ELEX 2

    100問 • 2年前
    John Cerda

    ELEX 3

    ELEX 3

    John Cerda · 100問 · 2年前

    ELEX 3

    ELEX 3

    100問 • 2年前
    John Cerda

    ELEX 4

    ELEX 4

    John Cerda · 100問 · 2年前

    ELEX 4

    ELEX 4

    100問 • 2年前
    John Cerda

    ELEX 5

    ELEX 5

    John Cerda · 59問 · 2年前

    ELEX 5

    ELEX 5

    59問 • 2年前
    John Cerda

    MATH

    MATH

    John Cerda · 78問 · 2年前

    MATH

    MATH

    78問 • 2年前
    John Cerda

    問題一覧

  • 1

    Find the f(-3)

    -262

  • 2

    Find f(100)

    458

  • 3

    Find Ro at temperature of 0°C

    25 Ohm

  • 4

    Evaluate the limit

    1/3

  • 5

    Evaluate the limit

    3

  • 6

    Evaluate the limit

    e

  • 7

    Evaluate the limit

    No Limit

  • 8

    Find the first derivative

    4x^3

  • 9

    Find y'

    sec^2 (x)

  • 10

    Find derivative

    x^x(1 + ln x)dx

  • 11

    Find the 2nd derivative at x = 2

    0.375

  • 12

    Find y^(50)

    50!

  • 13

    Find 99th derivative

    -cos x

  • 14

    What is first derivative dy/dx

    -y(1 + ln xy)/x

  • 15

    Find dy/dx

    1/(y² + 1)

  • 16

    Find the slope

    3/2

  • 17

    Find the slope

    -4.94

  • 18

    Find the slope

    2/5

  • 19

    Find the angle

    70.53°

  • 20

    Find the angle

    71.57°

  • 21

    Find the equation

    5x + 4y - 41 = 0

  • 22

    Find the equation

    2x + 3y - 6 = 0

  • 23

    Find the points

    (1.125, 4.5)

  • 24

    Find the rate

    140π cm^3

  • 25

    Find the rate

    -8

  • 26

    Find the allowable error

    0.0025 m

  • 27

    Find the allowable error

    4.71 mm³

  • 28

    Find the velocity

    35.60 ft/s

  • 29

    Find the velocity when accelaration is zero

    0.33 m/s

  • 30

    How fast is the third side increasing

    0.201 m/s

  • 31

    Determine the rate

    0.4 m/s

  • 32

    Find the rate

    0.64 m/s

  • 33

    How fast is surface area

    2 cm²/min

  • 34

    How fast is lower end moves

    15 m/min

  • 35

    Find the derivarive

    -2

  • 36

    Find the derivative

    (b/a) cos t

  • 37

    Find the slope

    -3

  • 38

    Find the equation

    2.6x - y - 3.85 = 0

  • 39

    Find the slope

    -1.73

  • 40

    Find the slope

    3

  • 41

    Find the critical points

    (-2, -14)&(2, 18)

  • 42

    Find the inflection points

    (1, 7)

  • 43

    Definition

    Extreme Value Theorem

  • 44

    Definition

    Mean Value Theorem

  • 45

    Definition

    Rolle's Theorem

  • 46

    Definition

    Cauchy Mean Value Theorem

  • 47

    Given a function f(x) = Ax² + Bx + C, When x = 3, f(x) = -12, x = 2, f(x) = -15 and minimized at x = 1. Find A.

    1

  • 48

    Given a function f(x) = Ax² + Bx + C, When x = 3, f(x) = -12, x = 2, f(x) = -15 and minimized at x = 1. Find B.

    -2

  • 49

    Given a function f(x) = Ax² + Bx + C, When x = 3, f(x) = -12, x = 2, f(x) = -15 and minimized at x = 1. Find C.

    -15

  • 50

    Consider the function: f(x) = x³/9 - 3x. At what interval will the function increasing?

    (-infinity, -3) and (3, infinity)

  • 51

    Water leaking unto a floor forms a circular pool. The radius of pool increases at rate of 4 cm/min. How fast is the area of pool increasing when radius is 5 cm.

    40π cm²/min

  • 52

    Oil spilling from a ruptured tanker spread in a circle on the surface of the ocean. The area of the spill increases at a rate of 9π m²/min. How fast is radius of spill increasing when radius us 10 m?

    9/20 m/min

  • 53

    Find the value of a

    2

  • 54

    Find the minimum value

    12

  • 55

    Definition

    Function

  • 56

    Definition

    Identity

  • 57

    It occurs when no general limit exists at the given x value.

    Jump Discontinuity

  • 58

    It occurs when a general limit exists but function value is not defined at that particular x value.

    Point Discontinuity

  • 59

    Point Discontinuity is also referred as _____

    Removable Discontinuity

  • 60

    It occurs when the function does not have limit and it is not defined at that particular x value.

    Infinite Discontinuity

  • 61

    Infinite Discontinuity is also referred as _____.

    Essential Discontinuity

  • 62

    A collection of related numbers or ordered pairs

    Relation

  • 63

    It is specific kind of relation such that every input has only one matching output

    Function

  • 64

    It is set of appropriate input that a function accepts.

    Domain

  • 65

    If y = f(x) is any function, then g(y) or y = f^-1 (x) is its inverse function.

    Inverse Function

  • 66

    If y = f(x) is a function, where y = f(-x) = -f(x)

    Odd Function

  • 67

    If y = f(x) is a function, where y = f(-x) = f(x)

    Even Function

  • 68

    If y = f(x) is a function, where y = f(x + nT) = f(x)

    Periodic Function

  • 69

    A maximum or minimum point occurs when point is lower or higher than all points.

    Relative Extrema

  • 70

    Points that are the highest or lowest of all the local extrema in graph.

    Absolute Extrema

  • 71

    It is an iteration method for solving the zero of a function where f is assumed to have continuous derivative f, Xn+1 = Xn - f(Xn)/f'(Xn).

    Newton's Method

  • 72

    A manufacturer has 600 liters of a 12% solution of acid. How many liters of 30% acid solution must be added to it so that acid content in the resulting mixture will be more than 15% but less than 18?

    Between 120 L and 300 L

  • 73

    Find the value of Sqrt(20+Sqrt(20+Sqrt(20+.......)))

    5

  • 74

    Find the c

    Ln(e - 1)

  • 75

    Find the c

    2 ± 1/√3

  • 76

    Find the k

    11

  • 77

    The value of f(x) is 12 when x = 6. If f(x) ≤ 10, what is f(x) when x = 15?

    102

  • 78

    Find the linear approximation

    L(x) = (3 - x)e^(-2)

  • 79

    Find the linear approximation

    33x - 150

  • 80

    Find the second derivative

    -2a²x²/y⁵

  • 81

    Find the domain

    x²/9 + y²/1 > 1

  • 82

    Find the partial derivative

    2xy³z⁴

  • 83

    It occurs when no general limit exists at the given x value.

    Jump Discontinuity

  • 84

    It occurs when no general limit exists at the given x value.

    Jump Discontinuity