Howard L.

Verify the identity

1) x=3-2t     y=2+3t     2) x=sqrt(t)      y=1-t       3) x=4+2cos(theta)     y=1+2sin(theta)     4) x=sec(theta)     y=cos(theta)    5) x=e^2t    y=e^t                            can... more

[7,-5, 2, -4, 9, -4, 0, 6, 10]

The expression (1/20)(sqrt(1/20)+sqrt(2/20)+sqrt(3/20)+...+sqrt(20/20)) is a Riemann sum approximation for    a) ∫ sqrt(x/20) dx from 0 to 1   b) ∫ sqrt(x) dx from 0 to 1   c) (1/20) ∫... more

can some one walk me through the steps to solve this problem and explain?

A curve has the equation y= (x-a)√(x-b) for x≥b, where a and b are constants. It intersects the x-axis at the point A with x=b+1. Show that the gradient of the curve of A is 1.     Thank You!

find the integral 1/ (x* e^x ) dx

Find the radius of convergence of the power series ∑ x^n from n=0 to infinity.    Answer: 1   I did the ratio test and got limit as n approaches to infinity of absolute value of x^(n+1) divided... more

Suppose that a department contains 8 men and 16 women. How many ways are there to form a committee with 6 members if it must have strictly more women than men?

Which of the following is the quadratic approximation for f(x)=e^-x at x=0?    a) 1-x+(1/2)x^2 b) 1-x-(1/2)x^2 c) 1+x+(1/2)x^2 d) 1+x e) 1-x   Answer: A   Please show all your work. Thanks.

A piece of plexiglass is in the shape of a semicircle with radius 2 m. Determine the dimensions of the rectangle with the greatest area that can be cut from the piece of plexiglass. 

Your suppose to solve it, take the answer and break it down into 3 binomials i think so the answer choices would be A. -(x-3)(x+3)(x+9) etc..

2p=3q=48r show that pq=r(4q+p)

int; integral sign Find int (bottom: -3 top: -5.5) (8*f(x)-9)dx when int (bottom:-5.5 top:-3) f(x)dx = -2 Also; let int (bottom: -8 top: -0.5) f(x)dx =8 int (bottom: -8 top: -5.5) f(x)dx =... more