MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) The parabola y2 = 6x is shifted up 3 units and left 6 units. Find an equation for the new parabola and find the new vertex. A) (y – 3)2 = 6(x + 6); vertex; (-6, 3) B) (y + 6)2 = 6(x – 3); vertex; […]

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the limit of the sequence or determine that the limit does not exist. 1) an = ln(9n + 9) – ln(2n – 7) A) ln((2/9)) B) ln((9/2)) C) does not exist D) ln7 2) an = ((lnn)7/√(n)) A) does not exist B) e7 C) 0 D) ln7 3) an […]

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine whether the statement is true or false. 1) 10 ≤ 9 A) True B) False 2) 18 ≥ 20 A) False B) True 3) 18 ≤ 15 A) False B) True 4) -16 > -9 A) True B) False 5) -18 ≤ -11 A) True B) False 6) – […]

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use limits to find the derivative function f’ for the given function f. Then evaluate f'(a) for the given values of a. 1) f(x) = 2×3 – 4x; a = -2, 3 A) f'(x) = 6×2-4; f'(-2) = 20, f'(3) = 50 B) f'(x) = 3×2-4x; f'(-2) = 4, f'(3) […]

Give all possible rational zeros for the polynomial. 21) f(x) = x3 – 7×2 + 4x – 24 A) ±1, ±2, ±3, ±4, ±6, ±12, ±24 B) ±1, ± (1/2), ±2, ±3, ±4, ±6, ±8, ±12, ±24 C) ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24 D) ±1, ±2, ±3, ±4, ±24 22) f(x) = 2×3 + 9×2 + 8x – 8 A) ±1, ± […]

Graph the circle if possible. 22) x2 + y2 = 36 A) B) C) D) 23) (x – 2)2 + (y – 2)2 = 49 A) B) C) D) 24) x2 + (y – 5)2 = 16 A) B) C) D) 25) (x – 3)2 + y2 = 25 A) B) C) D) 26) (x – 3)2 + (y + 4)2 = 0 A) B) No points on its graph C) […]

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. The rectangular coordinates of a point are given. Find polar coordinates for the point. 1) (-7, 0) A) (-7, π) B) (7, (π/2)) C) (7, (3π/2)) D) (7, π) 2) (0, 9) A) (9, π) B) (9, (π/2)) C) (9, – (π/2)) D) (9, 0) 3) (-3, 3) A) (-3√(2), […]

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Graph the function by first finding the relative extrema. 11) f(x) = x2 – 6x + 9 A) B) C) D)   12) f(x) = 1 + 6x – x2 A) B) C) D) 13) f(x) = 4×2 + 8x + 1 A) B) C) D) 14) f(x) = x3 […]

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) The magnitude of an earthquake, measured on the Richter scale, is given by R(I) = log(I/I0), where I is the amplitude registered on a seismograph located 100 km from the epicenter of the earthquake, and I0 is the amplitude of a certain small size earthquake. Find […]

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) For the following table of data, a. Draw a scatterplot. b. Calculate the correlation coefficient. c. Calculate the least squares line and graph it on the scatterplot. d. Predict the y-value when x is 20.   A) a. b. 0.965 c. Y = 0.45x – 5.53 […]