Given y = f(u) and u = g(x), find dy/dx = f'(g(x))g'(x).y = u(u - 1), u = x2 + x
A. 4x3 + 6x2 - 1
B. 4x3 + 6x2 - 2x
C. 2x2 + 4x + 1
D. 2x2 + 4x
Answer: A
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Solve the problem.Two pipes can fill a large tank in 10 hours. One of the pipes, used alone, takes 15 hours longer than the other to fill the tank. How long would each pipe take to fill the tank alone?
A. 12.5 hr for one 25 hr for the other B. 15 hr for one 30 hr for the other C. 25 hr for one 50 hr for the other D. 10 hr for one 20 hr for the other
Solve.A projectile is thrown upward so that its distance, in feet, above the ground after t seconds is What is its maximum height?
A. 16,800 ft B. 4400 ft C. 189,640 ft D. 4719 ft
Determine the vertex and the x-intercepts. Then sketch the graph.y = -x2 + 2x + 3
A.
Vertex: (1, - 4);
x-intercepts: (-1, 0) and (3, 0)
B.
Vertex: (- 1, 4);
x-intercepts: (-3, 0) and (1, 0)
C.
Vertex: (1, 4);
x-intercepts: (-3, 0) and (1, 0)
D.
Vertex: (1, 4);
x-intercepts: (-1, 0) and (3, 0)
Combine and simplify. Write the answer as a mixed number as needed. -
-
A.
B. -
C.
D.