Review for Test 2

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Graph the equation. Include the coordinates of any local and absolute extreme points and inflection points. 6x 14) y = x2 + 9 y x Sketch the graph and show all local extrema and inflection points. 15) y = -x4 + 2x2 - 9 y 10 5 -10 -5 5 10 x -5 -10 16) y = x x 2 - 3 4 x 500 y 250 -10 10 x -250 -500
Graph the equation. Include the coordinates of any local and absolute extreme points and inflection points. 17) y = 2x3 - 3x2 - 12x y x Identify the functionʹs local and absolute extreme values, if any, saying where they occur. 18) f(x) = x3 + 6.5x2 + 12x + 2 19) f(x) = x3- 9x2 + 27x + 3 20) f(r) = (r - 8) 3 x - 1 21) h(x) = x2 + 3x + 5 Find the largest open interval where the function is changing as requested. 22) Increasing f(x) = 1 4 x 2 - 1 2 x 23) Decreasing f(x) = 4 - x 24) Decreasing f(x) = ∣x - 8∣ 25) Decreasing y = 1 x2 + 7 Solve the problem. 26) Given the acceleration, initial velocity, and initial position of a body moving along a coordinate line at time t, find the bodyʹs position at time t. a = 20, v(0) = 11, s(0) = 11 Find the value or values of c that satisfy the equation the function and interval. 27) f(x) = x + 75 , [3, 25] x f(b) - f(a) b - a = f′(c) in the conclusion of the Mean Value Theorem <strong>for</strong>
Page 1: Review for Test 2 Calculus I Find t
Page 5 and 6: Graph the rational function. x - 4
Page 7 and 8: 55) A trough is to be made with an
Page 9 and 10: Evaluate the integral. 9 73) 5 x dx
Page 11 and 12: 95) Find the total area of the regi
Page 13 and 14: 117) y = x, y = x2 118) y = 1 2 x 2
Page 15 and 16: 128) ∫ 1 4 9 - x A) 15 2 x dx B)
Page 17 and 18: Answer Key Testname: REVIEW 2 15) A
Page 19 and 20: Answer Key Testname: REVIEW 2 45) 7
Page 21 and 22: Answer Key Testname: REVIEW 2 95) 2

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