9. For all x in the closed interval [1,4], the function g is concave upwards. Which of the following tables could be the values of g(x)? A. X g(x) B. X g(x) C. X g(x) 1 -10 1 4 1 0 2 -7 2 6 2 5 3 -6 3 9 3 7 4 -2 4 14 4 12 D. E. X g(x) X g(x) 1 -2 1 -4 2 -1 2 -6 3 5 3 -8 4 3 4 -10 = A. B. C. D. E. is approximated by 4 inscribed rectangles of equal width on the x-axis, then the approximation is A. 14 B. 10 C. 6 D. 5 E. 4 12. What is the 20th derivative of ? A. B. C. D. E. 13. What is the equation of the line tangent to the graph of at the point where ? A. y = 5x 10 B. y = 3x + 4 C. y = 3x + 8 D. y = 3x 10 E. y = 3x 16 – – – 14. Suppose that f(x) is a twice-differentiable function defined on the closed interval [a,b]. If f’(c)=0 for a<c<b, which of the following must be true?
9. For all x in the closed interval [1,4], the function g is concave upwards. Which of the following tables could be the values of g(x)? X g(x) B. X g(x) C. X g(x) 1 -10 1 4 1 0 2 -7 2 6 2 5 3 -6 3 9 3 7 4 -2 4 14 4 12 A. X g(x) 1 -2 2 -1 3 5 4 3 X g(x) 1 -4 2 -6 3 -8 4 -10 D. E. = A. B. C. D. E. is approximated by 4 inscribed rectangles of equal width on the x-axis, then the approximation is A. 14 B. 10 C. 6 D. 5 E. 4 12. What is the 20th derivative of ? A. B. C. D. E. 13. What is the equation of the line tangent to the graph of at the point where ? A. y = 5x – 10 B. y = 3x + 4 C. y = 3x + 8 D. y = 3x – 10 E. y = 3x – 16 14. Suppose that f(x) is a twice-differentiable function defined on the closed interval [a,b]. If f’(c)=0 for a<c<b, which of the following must be true?