Apex Learning Apex Learning - Course: X Microsoft Word - AP_Ca x Course Hero x Dashboard | Common A| X Microsoft Word - AP_Ce X A Gradebook Details X Main Idea 1.pdf C media.apexlearning.com/One-Off/202101/06/dod6612c-2376-403a-a57f-b79c76473e83.pdf 06HOBNTb : BMHS M Inbox (17) - tyess... R sat portfolio = ) Classes GEN Voxy calendar UG_viewbook_20... Student and Paren... Sign In - Apex Lea... A Aeries: Portals E Microsoft Word - AP_Calc_FEX_sem2.doc 6 / 9 - 120% +|8 3. The derivative of a function f is given by f (x) = (-2x -2) e*, and f(0) = 3. k A. The function f has a critical point at x = -1. At this point, does f have a relative minimum, a relative maximum, or neither? Justify your answer. (2 points) 5 6 B. On what intervals, if any, is the graph of f both increasing and concave down? Explain your reasoning. (4 points) 7 C. Find the value of f(-1). (3 points) 8Apex Learning Apex Learning - Course: X Microsoft Word - AP_Ca x Course Hero X Dashboard | Common A| X Microsoft Word - AP_Ce X A Gradebook Details X Main Idea 1.pdf C media.apexlearning.com/One-Off/202101/06/d0d6612c-2376-403a-a57f-b79c76473e83.pdf 06HOBNTb : BMHS M Inbox (17) - tyess... R sat portfolio = Classes GEN Voxy calendar UG_viewbook_20... Student and Paren... Sign In - Apex Lea... A Aeries: Portals E Microsoft Word - AP_Calc_FEX_sem2.doc 7 /9 120% + 4. A particle moves along the x-axis in such a way that its position at time t for t 2 0 is k given by s(t ) = =13 - 312 + 81. A. Find the position of the particle at time t = 3. (1 point) 5 B. Show that at time t = 0, the particle is moving to the right. (2 points) C. Find all values of t for which the particle is moving to the left. (2 points) D. What is the total distance the particle travels from t = 0 to t = 4? (4 points) 8Apex Learning Apex Learning - Course: X Microsoft Word - AP_Ca x *Dashboard X Dashboard | Common A| X Microsoft Word - AP_Ce X A Gradebook Details X Main Idea 1.pdf C media.apexlearning.com/One-Off/202101/06/d0d6612c-2376-403a-a57f-b79c76473e83.pdf 06HOBNTb : BMHS M Inbox (17) - tyess... R sat portfolio _ _ Classes GEN Voxy calendar UG_viewbook_20... Student and Paren... Sign In - Apex Lea... A Aeries: Portals E Microsoft Word - AP_Calc_FEX_sem2.doc 9 / 9 120% 6. The function f(x) has the value f(1) = 5. The slope of the curve y = f(x) at any point is k given by the expression - dy = (4x - 2)(1+1). dx A. Write an equation for the line tangent to the curve y = f(x) at x = 1. (2 points) 5 B. Use separation of variables to find an explicit formula for y = f(x), with no integrals remaining. (5 points) C. Calculate the slope of the tangent line to the curve at x = 0. (2 points) 8Apex Learning Apex Learning - Course: X Microsoft Word - AP_Ca x *Dashboard x Dashboard | Common A| X Microsoft Word - AP_Ce X A Gradebook Details X Main Idea 1.pdf C media.apexlearning.com/One-Off/202101/06/d0d6612c-2376-403a-a57f-b79c76473e83.pdf 06HOBNTb : BMHS M Inbox (17) - tyess... R sat portfolio _ _ Classes GEN Voxy calendar UG_viewbook_20... Student and Paren... Sign In - Apex Lea... A Aeries: Portals E Microsoft Word - AP_Calc_FEX_sem2.doc 8 / 9 120% +|8 Free-Response Question 5 (no calculator) k 5. A spherical balloon is being inflated at a rate of 10 cubic centimeters per second. dr A. Find an expression for -, the rate at which the radius of the balloon is increasing. 5 (3 points) B. How fast is the radius of the balloon increasing when the diameter is 40 cm? (2 points) 7 C. How fast is the surface area of the balloon increasing when the radius is 5 cm? (4 points) 8