The forces acting on an object weighing W units on an inclined plane positioned at an angle of ? with the horizontal (see figure) are modeled by
?

?
where ? is the coefficient of friction. Solve the equation for ? and simplify the result.
?

?

A.
B.
C.
D. ?
E.


Answer: D

Mathematics

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Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.u(1) = 3, u '(1) = -5, v(1) = 6, v '(1) = -4. (uv) at x = 1

A. -42 B. 18 C. -39 D. 42

Mathematics

Provide an appropriate response.If f(x) = x2 - 2x + 3, find:(a)the domain(b)f(2)(c)f(-2)(d)f(e)f(t3)(f)f(s + 1)(g)f(x + h)

What will be an ideal response?

Mathematics

Solve the problem.Allied Radio is a company which makes clock radios. The following table gives the profit, y, in dollars that this company made during the three stated years, x.This set of data can be modeled by f(x) = ax2 + bx + c, where x represents the year. Find a linear system for which the solution represents the values of a, b, and c. Use technology to solve this system. Then, using the quadratic equation, predict the profit that Allied Radio made in the year 1996. Round your answer to the nearest hundred dollars.

A. $399,600 B. $399,900 C. $400,100 D. $399,400

Mathematics

The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval.(-3, 0)

A. constant B. increasing C. decreasing

Mathematics