Solve the problem.Two forces, F1 of magnitude 35 newtons (N) and F2 of magnitude 55 newtons, act on an object at angles of 
and 
(respectively) with the positive x-axis. Find the direction and magnitude of the resultant force; that is, find 
Round the direction and magnitude to two decimal places.
What will be an ideal response?
Direction: -23.65°; magnitude: 57.04 N
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Use the Montonicity Theorem to find where the function is increasing and where it is decreasing.f(x) = (x + 2)(x - 6)
A. Increasing on [2, ?), decreasing on (-?, 2] B. Decreasing on (-?,?) C. Increasing on [-12, ?), decreasing on (-?, -12] D. Increasing on (-?, -2] ? [6, ?), decreasing on [-2, 6]
Find f(x) and g(x) such that h(x) = (f ? g)(x).h(x) = 
A. f(x) = 
, g(x) = x2 - 5
B. f(x) = 
, g(x) = x2
C. f(x) = x2 + 4, g(x) = x2 - 5
D. f(x) = x2, g(x) = 
Find the gradient field F of the function f.f(x, y, z) = (x6y2 - y9z3)e-z2
A. F = 6x5i + (9y8 - 2y)j + 2z4e-z2k B. F = 6x5y2i + (9y8z3 - 2x6y)j + (2z2 - 3)y9z2k C. F = 6x5y2e-z2i + (2x6y - 9y8z3)e-z2j + y2ze- z2[y7z(2z2 - 3) - 2x6]k D. F = 6x5y2e-z2i + (2x6y - 9y8z3)e-z2j + (3 - 2z2)y9z2e-z2k
Solve the problem.Below is a diagram of a water slide. The slide is 24 ft long. The ladder leading to the slide is 21 ft long. How far is it from the end of the slide to the foot of the ladder? Round approximations to the nearest tenth. 
?
A. 5.8 ft B. 22.5 ft C. 67.5 ft D. 11.6 ft