(a) Write a linearization for with respect tox 1500- (b) Use the linearization to estimate f at the given input (106) Need Help? 5. [-16 Points] DETAILS CUSTOMLCALCCONS 4.1.009. MY NOTES ASK YOUR TEACHER The function Rx) billion dollars models revenue from new-car sales for franchised new-car dealerships in the United States when million dollars are spent on associated advertising expenditures, data from 1.25xSEST (a) Use R(2.5) 144 and R12.5) 36 to find a linearization model with respect to rat c-25 MCS- 1.25 x 6.5 (b) Use the nearation model to estimate the revenue when $1.6 milion is spent on advertising 5 (c) Use the linearization model to estimate the revenue when 12 misspent on advertising Need Help? 6. (-/4 Points] DETAILS CUSTOMLCALCCONS 4.1.013. MY NOTES ASK YOUR TEACHER The future value of an investment after t years is given by F) 180(1.120) thousand dollars (a) Calculate the future value after 10 years. Round your answer to three decimal places thousand Calculate the rate of change of the future value after 10 years. (Round your answer to three decimal places.) thousand per year (b) Write the linearization of F after 10 years. Round a numerical values to three decimal places.) thousand dollars (c) Use the linearization to estimate the future value after 10.5 years. (Round your answer to three decimal places.) thousand Need Help? 7. [-15 Points] DETAILS CUSTOMLCALCCONS 4.1.017 MY NOTES ASK YOUR TEACHER For fiddler crabs, the weight of the claw can be modeled as w) 0.114 pounds when the weight of the body is w pounds. Note that fw) is increasing and concave up for all > For positive values of w, will a linearization off overestimate or underestimate the function values? Explain A linearization -Select- a line tangent to the curve. Since is concave-S-0, the tangent line at any point on will lie -Select- the curve except at the Sele o the function output values Therefore, a linearization will 5. [-16 Points] DETAILS CUSTOMLCALCCONS 4.1.009. MY NOTES ASK YOUR TEACHER The function Rx) billion dollars models revenue from new-car sales for franchised new-car dealerships in the United States when x million dollars are spent on associated advertising expenditures, data from 1.25x56.51 (a) Use R(2.5)-144 and R(2.5)-36 to find a linearization model with respect to x at c 2.5. (X)- -Select- gives the -Select- for -Select- 1.25 x 6.5. (b) Use the linearization model to estimate the revenue when $1.5 million is spent on advertising. billion (c) Use the linearization model to estimate the revenue when $2 million is spent on advertising. billion Need Help? | 6. [-14 Points] DETAILS CUSTOMLCALCCONS 4.1.013. MY NOTES ASK YOUR TEACHER The future value of an investment after years is given by F(!)=180(1.126') thousand dollars (a) Calculate the future value after 10 years. (Round your answer to three decimal places.) thousand Calculate the rate of change of the future value after 10 years. (Round your answer to three decimal places.) thousand per year $ (b) Winite the linearization of F after 10 years. (Round all numerical values to three decimal places.) F(t)- thousand dollars (c) Use the linearization to estimate the future value after 10.5 years. (Round your answer to three decimal places.) thousand Need Help? | 7. [-/5 Points] DETAILS CUSTOMLCALCCONS 4.1.017 MY NOTES ASK YOUR TEACHER For fiddler crabs, the weight of the claw can be modeled as (w) = 0.11.54 pounds when the weight of the body is w pounds.+ Note that f(w) is increasing and concave up for all w > 0. For positive values of w, will a linearization of foverestimate or underestimate the function values? Explain. Therefore, a linearization will A linearization-Seed-line tangent to the curve. Since fis concave -Select- the tangent line at any point on f will lie -Select- the curve except at the -Select- -Select-the function output values Need Help