QUESTION 1 1 points Save Answ 2x3y + y2 = x-2 Given that y is a differentiable function of x, what is y'(x) at point (2,1)? (Round answer to nearest two decimal place)QUESTION 2 Consider the function: f(x) = W The third-order Taylor approximation at the point x=0 is (round answers to three decimal points): x+ x2+ 22 + 1 points Save Answer QUESTION 3 1 points Save An Sarah invests $1000 into her bank account with an annual interest rate of 1.5%. Using the approximation (NOT the exact solution!) you learned, how many years will it take for her investment to reach $2000? (Round up to the nearest whole number) years QUESTION 4 1 points Save Answer Match the function on the left with the category of elasticity on the right 1. Inelastic f (x) = In(2x + 3) - 2x at x = 1 2. Unit Elastic V 3. Elastic f (x) = Vx2 + 4 atx=-2 4. Perfectly inelastic - f ( x ) = In(x+ 3) at x=0 V f (x) = 4x at x = 2QUESTION 5 1 points Save Answer Given y=x3- 4x2+ 4x + 2, match the point on the left with the appropriate description (0, 2) A. The function is increasing and is concave at this point B. This is an inflection point (3, 5) C. The function is increasing and is convex at this point V 4 70 3 27The stationary points of y =x3+ 4x2 5x+ 2 are ( , ) and ( , ). Type your answer to 2 decimal places QUESTION 7 1 points Save Answe The global maximum over the indicated interval for y=x - 2x2 - 2x + 3, - 2