The graph of a function is given. Choose the answer that represents the graph of its derivative.

A.

B.

C.

D.


Answer: C

Mathematics

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Provide an appropriate response.The curves y = ax2 + b and y = 2x2 + cx have a common tangent line at the point (-1, 0). Find a, b, and c.

A. a - 2, b = 1, c = -1 B. a = 1, b = -1, c = 2 C. a = -1, b = 1, c = -2 D. a = 1, b = 0, c = 2

Mathematics

Solve the problem using the rule of 78s.Caroline Jones took out a 48-month fixed installment loan of $21,000 to open a restaurant. She began making monthly payments of $533.75. Caroline's business does better than expected and instead of making her 27th payment, Caroline decides to repay her loan in full. What is the total amount due to pay off the balance?

A. $11,022.34 B. $10,301.25 C. $10,835.00 D. $10,348.64

Mathematics

Simplify the expression.

A. tan2 ? B. sin ? C. sec2 ? D. cos3 ?

Mathematics

Solve the problem. Round to two decimal places if needed.A sector of a circle has an area of 65 square meters. Find the radius of the circle if the central angle that forms the sector is 60°.

A. 11.14 meters B. 136.07 meters C. 5.83 meters D. 34.02 meters

Mathematics