- If = kx, and if x = 2 when t = 0 and x = 6 when t = 1, then k equals
(A) ln 4
(B) 8
(C) e^3
(D) 3
(E) none of these - If y = x^2 ln x (x > 0), then y ′′ is equal to
(A) 3 + ln x
(B) 3 + 2 ln x
(C) 3 ln x
(D) 3 + 3 ln x
(E) 2 + x + ln x - A particle moves along the curve given parametrically by x = tan t and y = 2 sin t. At the instant
when the particle’s speed equals
(A)
(B)
(C)
(D)
(E) none of these - Suppose and y = 2 when x = 0. Use Euler’s method with two steps to estimate y at x =
- (A) 1
(B) 2
(C) 3
(D) 4
(E)
- (A) 1
Questions 20 and 21. The graph below consists of a quarter-circle and two line segments, and
represents the velocity of an object during a 6-second interval.