Match the function with its graph.1) y = sin 2) y = cos 3) y = sin 4) y = cos A)B)?

width="200" />  C)D)?



A. 1A, 2D, 3C, 4B

B. 1A, 2B, 3C, 4D

C. 1C, 2A, 3B, 4D

D. 1B, 2D, 3C, 4A

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Answer: C

Mathematics

Solve the problem.The growth rate of a certain tree (in feet) is given by y =  + e-t2/2 , where t is time in years. Estimate the total growth of the tree through the end of the second year by using Simpson's rule. Use 2 subintervals. Round your answer to the nearest hundredth.

A. 3.68 ft B. 5.11 ft C. 2.34 ft D. 3.41 ft

Solve the problem.A yoga studio is being designed in the shape of a trapezoid. The lengths of the two parallel sides are 56 feet and 44 feet. The area of the studio is to be at least 1600 square feet and not more than 2000 square feet. What is the range of possible values for the width of the studio?[Hint: the area of a trapezoid is A = w(a + b) where a and b are the lengths of the two parallel sides.]

A.
B.
C.
D.

Determine the upper and lower bounds on the zeros of the given function.f(x) = 3x5 + 6x3 - 8x2 + 4

A. upper bound: 1; lower bound: -4 B. upper bound: 1; lower bound: -1 C. upper bound: 4; lower bound: -4 D. upper bound: 4; lower bound: -1

How much money can you borrow at 6% interest compounded monthly if you agree to pay $100 at the end of each month for 2 years and, in addition, a balloon payment of $3000 at the end of the second year?

A. $2261.56
B. $4917.85
C. $5356.29
D.

$2256.29

E. none of these