Convert the equation given in rectangular form into polar form.y2 = 2x
A. r = 2 cot2 x
B. r = 4 cot x cscx
C. r = 2 cot x cscx
D. r2(cos ? + sin ?) = 2
Answer: C
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Find the LCM of 3, 4, and 15. ?
A. 180 B. 300 C. 60 D. 240
Solve the problem.Consider a small region inside an elastic material such as gelatin. As the material "jiggles", this small region oscillates about its equilibrium position (x0, y0, z0). The force that tends to restore the small region to its equilibrium position can be approximated as F = - k(x - x0)i - k(y - y0)j - k(z - z0)k Find a potential function f for this force field.
What will be an ideal response?
Find the curvature of the space curve.r(t) = 
(1 + t)3/2i +
(1 - t)3/2j + 2tk
A. ? = 
B. ? = 
C. ? = 
D. ? = 
Use the appropriate Taylor polynomial of degree 3 at x = 0 to approximate the quantity. Round the answer to four decimal places.
A. 1.9149 B. 0.9575 C. 1.9575 D. 1.9570