need help with the following with explanation

F Section 3.2 Assignment Question 1 of 14 View Policies Current Attempt in Progress For the cost function C = 3000 + 200 In q (in dollars), find the cost and the marginal cost at a production level of 500. Round your answers to two decimal places. Cost at a production level of 500 = $ Marginal cost at a production level of 500 = $ Interpret your answers in economic terms. e Textbook and Media Assistance Used Save for Later Attempts: 0 of 3 used Submit AnswerF Section 3.2 Assignment Question 2 of 14 View Policies Current Attempt in Progress In 2012, the population of Mexico was 1 15 million and growing 1.09% annually, while the population of the US was 314 million and growing 0.9 % annually. Round your answers to three decimal places. (a) Find the Mexican growth rate in people/year in 2012. The rate of change of population in 2012 is i million people/year. (b) Find the US growth rate, measured the same way, and use it to determine which population was growing faster in 2012. The rate of change of population in 2012 is million people/year. www.indexmundi.com, accessed April 9, 2015. eTextbook and Media Save for Later Attempts: 0 of 3 used Submit AnswerF Section 3.2 Assignment Question 3 of 14 View Policies Current Attempt in Progress Differentiate the function P = 6t3 + 6et. dP dt e Textbook and Media Save for Later Attempts: unlimited Submit AnswerF Section 3.2 Assignment Question 4 of 14 View Policies Current Attempt in Progress Differentiate the function f(x) = 26 + 6:. f' (ac) = eTextbook and Media Save for Later Attempts: unlimited Submit AnswerF Section 3.2 Assignment Question 5 of 14 View Policies Current Attempt in Progress Find the derivative of the function y = 5 . 3" - 823. dy dx eTextbook and Media Save for Later Attempts: unlimited Submit AnswerF Section 3.2 Assignment Question 6 of 14 View Policies Current Attempt in Progress Differentiate the function y = e0.It. dy dt eTextbook and Media Save for Later Attempts: unlimited Submit AnswerF Section 3.2 Assignment Question 7 of 14 View Policies Current Attempt in Progress Differentiate the function P = e-0.4t P'= eTextbook and Media Save for Later Attempts: unlimited Submit AnswerF Section 3.2 Assignment Question 8 of 14 View Policies Current Attempt in Progress Differentiate the function P = 8000(1.01). NOTE: Enter the exact answer. P' (t) = e Textbook and Media Save for Later Attempts: unlimited Submit AnswerF Section 3.2 Assignment Question 9 of 14 View Policies Current Attempt in Progress Differentiate the function. y = 3" + NOTE: Enclose arguments of functions in parentheses. For example, sin(2x). dy dacF Section 3.2 Assignment Question 10 of 14 View Policies Current Attempt in Progress Differentiate the function D = 3 - Inp. D'= eTextbook and Media Save for Later Attempts: unlimited Submit AnswerF Section 3.2 Assignment Question 11 of 14 > View Policies Current Attempt in Progress Differentiate the function R(q) = q* - 41nq. R'(q) = eTextbook and Media Save for Later Attempts: unlimited Submit AnswerF Section 3.2 Assignment Question 12 of 14 > View Policies Current Attempt in Progress Find the equation of the tangent line to the graph of y = 5* at x = 1. NOTE: Round the slope to one decimal place. eTextbook and Media Save for Later Attempts: unlimited Submit AnswerF Section 3.2 Assignment Question 13 of 14 View Policies Current Attempt in Progress If $100 is deposited in a bank account that pays 1% interest compounded continuously, the balance B after t years is B = f(t) = 100e0.01t (a) Find f'(t) f' (t ) = (b) Find f(10) and f'(10) and give units. NOTE: Round your answers to one decimal place. f(10)= Choose one f'(10) = Choose one eTextbook and Media Save for Later Attempts: unlimited Submit AnswerF Section 3.2 Assignment Question 14 of 14 > View Policies Current Attempt in Progress The cost of producing a quantity, q, of a product is given by C(q) = 1000 + 30e- dollars. Find the cost and the marginal cost when q = 50. Round your answers to two decimal places. Cost at production level of 50 = $ Marginal cost at a production level of 50 = $ Interpret your answers in economic terms. e Textbook and Media Save for Later Attempts: unlimited Submit