Please, help me to solve problem num 41 step by steps. Find the derivatives in Exercises 39–44.a. by evaluating the integral and differentiating the result. b. by differentiating the integral directly.

+ I/ MI * 00 Energy consumption in a particular country in quadrillion BTUS can be modeled by C(x) = - 0.014x + 1.295x+ 68,958, where x is the number of years after 1970. a. One solution to the equation 89.258 = - 0.014x+ 1.295x+68.958 is x = 20. What does this mean? b. Graphically verify that x 20 is a solution to 89.258 = - 0.014x+1.295x + 68.958. c. To find when after 2020 the energy consumption in that country will be 89.258 quadrillion BTUS according to the model, is there a need to find the second solution to this equation? Why or why not? a. Choose the correct answer below. O A. In 1990, consumption was 68.958 quadrillion BTUS. O B. In 2020, consumption was 68.958 quadrillion BTUS. O C. In 1990, consumption was 89.258 quadrillion BTUS. O D. In 2020, consumption was 89.258 quadrillion BTUS. Click to select your answer and then click Check Answer. parts 2. remaining Clear All Check Answer P Pearson &17 PM ere to search 近 1202/LL/Z PrtSc F11 F12 F10 sup F7 F8 & Backspace 23 3. i 5.…

2. What constant interest rate is required if an initial deposit placed into an account that accrues interest compounded continuously is to double its value in five years? 3. Solve the equation (D³ + 3D² – 9D – 27)y = 0 4. Solve the equation (D4 + 13D² + 36)y = 0 5. Solve the equation (D* + 9D³ + 5D² – 93D – 90)y = 0