Solve the problem.Find the y-intercept of the line normal to the curve y = x2 at 

A.
B.
C. 2
D.


Answer: D

Mathematics

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Model the situation with a dynamical system. Use your model to answer the question.You deposit $971 in a bank account paying 4% yearly interest that is compounded annually. How much will be in your account at the end of 4 years?

A. An+1 = 4An, n = 0, 1, 2, ..., where A0 = 971; $248,576.00 B. An+1 = 1.04An, n = 0, 1, 2, ..., where A0 = 971; $1135.93 C. An+1 = 1.04An, n = 0, 1, 2, ..., where A0 = 971; $1009.84 D. An+1 = 0.04An, n = 0, 1, 2, ..., where A0 = 971; $0.00

Mathematics

Provide an appropriate response.Find the product of 3.05 × 0.03

A. 9.15 B. 0.915 C. 0.0915 D. 0.00915

Mathematics

Solve the problem.Newton's law of cooling states that the temperature f(t) of a body at time t is given by:   where C and k are constants and T0 is the temperature of the environment in which the object rests. If C = -28.5 and k = 0.04  and t is in hours, how long will it take for a frozen roast to thaw to a temperature of 0°C in a refrigerator that is at 5°C? Round your answer to the nearest hour.

A. 38 hr B. 44 hr C. 48 hr D. 42 hr

Mathematics

Find the integral by using integration by parts or other techniques. Round the answer to four decimal places if necessary.

A. e2x(x2 - x + 1) + C
B. e2x(2x2 - 2x + 1) + C
C. e2x(2x2 - 2x + 1) + C
D. 15e2x(2x2 - 2x + 1) + C

Mathematics