Question 1(Multiple Choice Worth 6 points) Find the derivative of f(x) = -10x2 + 4x at x = 11. -216 -196 -176 -363 Question 2(Multiple Choice Worth 6 points) Find the limit of the function by using direct substitution. limit as x approaches four of quantity x squared plus three x minus one Does not exist -27 0 27 Question 3(Multiple Choice Worth 6 points) Find the derivative of f(x) = 7x + 9 at x = 6. 7 9 6 0 Question 4(Multiple Choice Worth 7 points) Find the indicated limit, if it exists. limit of f of x as x approaches 0 where f of x equals 7 minus x squared when x is less than 0, 7 when x equals 0, and 10 x plus 7 when x is greater than 0310 7 The limit does not exist. Question 5(Multiple Choice Worth 6 points) Find the derivative of f(x) = 3 divided by x at x = 1. -3 -1 1 3 Question 6(Multiple Choice Worth 7 points) Use the given graph to determine the limit, if it exists. A coordinate graph is shown with a horizontal line crossing the y axis at four that ends at the open point 2, 4, a closed point at 2, 1, and another horizontal line starting at the open point 2, negative 3. Find limit as x approaches two from the left of f of x. and limit as x approaches two from the right of f of x.. -3; 4 1; 1 4; -3 Does not exist; does not exist Question 7(Multiple Choice Worth 7 points) Find the indicated limit, if it exists. limit of f of x as x approaches negative 1 where f of x equals x plus 1 when x is less than negative 1 and f of x equals 1 minus x when x is greater than or equal to negative 1 -1 2 The limit does not exist. 0 Question 8(Multiple Choice Worth 7 points) Use graphs and tables to find the limit and identify any vertical asymptotes of limit of 1 divided by the quantity x minus 7 as x approaches 7 from the left. -∞ ; x = 7 ∞ ; x = -7 -∞ ; x = -7 1 ; no vertical asymptotes Question 9(Multiple Choice Worth 7 points) Use the given graph to determine the limit, if it exists. A coordinate graph is shown with an upward sloped line crossing the y axis at the origin that ends at the open point 3, 1.5, a closed point at 3, 7, and a horizontal line starting at the open point 3, 2. Find limit as x approaches three from the left of f of x.. 7 1.5 Does not exist 2 Question 10(Multiple Choice Worth 6 points) Find the limit of the function algebraically. limit as x approaches zero of quantity x cubed plus one divided by x to the fifth power. 0 -9 Does not exist 9 Question 11(Multiple Choice Worth 6 points) Find the derivative of f(x) = negative 3 divided by x at x = -4. 3 divided by 4 3 divided by 16 16 divided by 3 4 divided by 3 Question 12(Multiple Choice Worth 6 points) Find the limit of the function by using direct substitution. limit as x approaches zero of quantity x squared minus two. 2 -2 Does not exist 0 Question 13(Multiple Choice Worth 6 points) Find the limit of the function algebraically. limit as x approaches four of quantity x squared minus sixteen divided by quantity x minus four. Does not exist 4 1 8 Question 14 (Essay Worth 9 points) The position of an object at time t is given by s(t) = -1 - 13t. Find the instantaneous velocity at t = 8 by finding the derivative. Question 15 (Essay Worth 8 points) Use graphs and tables to find the limit and identify any vertical asymptotes of the function. limit of 1 divided by the quantity x minus 2 squared as x approaches 2

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