MATH MODULE 2 102

54問 • 1年前

問題一覧

Find the major axis of the ellipse x^2 + 4y^2 + 2x - 8y + 1 = 0

For the expansion (4x-3)^9 what is the sum of all exponents

If equal spheres are piled in the form of a complete pyramid with a square base, find the total number of spheres in the pile if each side of the of the base contains 4 spheres.

Carbon-14 is a radioactive isotope of carbon that has a half life of 5600 years, it is used extensive in dating organic material that is tens of thousands of years old What fraction of the originel amount of Garbon - 14 in a sample would be present after 10,000 years?

30%

A solid has a base in the form of en ellipse with major axis 10 and minor axis E Find the volume if every section perpendicular to the major axis is an isosceles triangle with altitude 6.

188.5

A hemispherical tank id full of oil (density 50 pcf) It has a diameter of 10ff Find the work done in ft-lb in pumping all the liquid out of the top of the tank

24,544

The bases of a frustum of a pyramid are 18 cm by 18 cm and 10 cm. Its lateral area is 448 sq, cm., what is the altitude of the frustum?

6.93 cm

Find the work done by farce F=3i+10i newtons in moving an object 6 meter east

18 J

The graph of ratheta is called _________

Spiral of Archimedes

The probability that a man hits a target is 0.1. He fires 100 times. Find the expected number of times he will hit the target

The slope of the curve y-xy-3x=1 at the point (1, 5) is

What is the area of an equilateral triangle whose inscribed circle has radius 2?

20.78

ln(x-2)<0 if and only if

2 < x < 3

If the orbit of a satellite has the polar equation r(2+ cos e) = 4, then the path of the orbit is

an ellipse

Find the volume (in cubic units) generated by rotating a circle x^2 + y^2 + 6x + 4y +12 = 0, about the y-axis

59.22

If Rita can run around the block in 5 times in 20 minutes, how many times can she run around the block in one hour?

A cone shaped icicle is dripping from the roof. The radius of the icicle is decreasing at a rate of 0.2 cm/hr, while the length is increasing at rate of 0.8 cm/hr If the icicle is currently 4 cm in radius and 20 cm long, is the volume of the icicle increasing or deacreasing and at what rate?

decreasing at 20 cu cm/hr

Evaluate (1+i)^10

What is the integral of sin^5 x dx if the lower limits is 0 and the upper limit is pi/2?

0.533

Four years ago, the sum of the ages of Tom and Dick was 46. Six years from now, twice Dick's age will be 28 more than Tom's age then. How old is Dick now?

25 yrs

The surface area of a cube is 96 sq. cm. How many cu, cm. are there in the volume of the cube?

A large horizontal circular ring has 8 hooks around its circumference, in how many ways can 8 different lanterns be hung with one lantern on each hook

5040

Find the volume of the solid generated by revolving the area bounded by x=y^2 and x=2-y^2 and about the y-axis.

16.76

Write the equation of the family of curves point (x,y) of the tangent line has a slope twice the abscissa of the point

y = x^2 + C

In special rule of addition of probability the events are always

Mutually Exclusive Events

A sequence of numbers where the succeeding term is greater than the preceding term is called.

convergent series

What section is formed by a cone cut by a plane parallel to its slant height?

Parabola

Find the area under one arch of the cycloid x=a (thetasin theta) y=a(1-cos theta)

3pi a^3

If the semi-axis of the ellipse 4x^2 + 5y^2 = 20 are each increased by 0.01, find the approximate increase in the area

0.1331

d/dx (lne^2x) =

If dy/dx = tan x , then y =

lnlsec xl + C

Each of the following has exactly two pairs of parallel sides EXCEPT a

trapezoid

Find the equation of the line that is tangent to the ellipse x^2 + 3y^2 - x + 2y = 0 at the ongin

2x - y = 0

A rotating sprinkler sprays water 10 feet as it in a circle. How much grass will the sprinkler water?

100 pi sq. ft

A coin is tossed 3 times What is the probability of getting 3 heads?

1/8

If s = t^3 - 5t^2 - 3, when will the velocity be 2?

1/3, 3

The shortest distance from (3.8) to the circle x² + y² + 4x - 6y = 12 equal to

2.07

Determine the area bounded by y = 8 - x^3, x-axis and the y-axis

What is the quotient of 4+8i is divided by 2

-8 + 4i

The population of a country doubles in 50 years. How many years will it be five times as much? Assume that the rate of increase is proportional to the number of inhabitants.

116 years

The perimeter of a triangle is 60cm. find the maximum area of the triangle

173.2 sq. cm

Describe the locus represented by |z-i|=2

ellipse

If the first term of a geometric progression is 100 and the common ratio is 1/100. which term in the progression is 10^-10?

7th term

If the average value of a periodic function over one period is zero and it consists of only odd harmonics, then it must be possessing

odd

If two sides of triangle ABC are a=75 units and b=100 units and the angle opposite side a is 32 degrees, approximately the angle opposite side c

103 degrees

The line 3x-4y = 5 is perpendicular to the line

4x + 3y = 3

A cylinder of radius 3 is cut through the center of the base by a plane making an angle of 45 degrees with the base Find the volume cut off.

Find the area inside the cardioid r=1+cosθ and outside the circle t=1 .

2.79

Water is pouring into a swimming pool. After t hours, there are t + sqrt. of t gallons in the pool. At what rate is the water pouring into the pool when t=g hours?

7/6 gph

A boat make 25 mph in still water. Find its speed when it is headed N 45° E in a 7.5 mph current flowing east.

30.76 mph

If the sides of the triangle are 2x + 3 x^2 + 3x + 3 and x^2 + 2x , find the greatest angle.

120 deg

Determine the sum of the internal angles of a hexagon

720 degrees

Find the area enclosed by the Lemniscate of Bernoulli given polar equation r^2 = 2a^2cos2θ

2a^2

A railroad track and a road cross at right angles. An observer stands on the road 70 m North of the crossing and watches an eastbound train travelling at 60 meters per second. At how many meters per second is the train moving away from the observer 4 seconds after it passes through the intersection?

57.6

DC CIRCUITS POWERLINE

premopremo remo · 75問 · 2年前

DC CIRCUITS POWERLINE