26. Let f be function defined by f(x) = x^3 + x. If g is the reverse function of f, what is the slope of the line tangent to the graph of g at the point (2,1) ?
Answer :
27.
Answer :
28. Let f be a function with f(0) = 0 and derivative given by f'(x) = cos (x^2) . Which of the following is the Maclaurin series for f ?
Answer :
29.
30.
lim n →∞
k=1Σ n
(3/n k)^2 (3/n) is ...
21. The function g has a continuous second derivative. If g (0) = 2 , g ' (0) = 4, g (3) = 5, and g ' (3) = 6, what is the value of 0∫ 3 x . g''(x) dx ?
Answer :
22. The Maclaurin series for the function f is given below. What is the value of f(4) (0) ?
23. Let f be a differentiable function such that f (π) = 2 and f ' (π) = - 3. What is the slope of the line tangent to the polar curve r = f(π) at θ = π ?
Answer :
24. - ∞∫ 1 x^3 . 2^(x^3) dx is ...
Answer :
25. ∫ dx / (x^2 + 4x + 5) = ...
16.
f(x) = x^2 - 2x for x≤ 4
f(x) = g(x) for x>4
let f be the function defined as shown. If f is differentiable, which of the following could define g(x) ?
answer :
17. The function y = f(x) satisfies the differential equation dy/dx = 2xy with the initial condition f(0) = 5. What is the value of f(2) ?
answer :
18. Which of the following gives the length of the curve y = tan x from x = - (π/4) to x = π/4 ?
answer :
19. If y = f(x) is a function such that dy/dx = (2x - y) / x , then d^2y / dx^2 = ...
answer :
20. Which of the following series converges to 1/e ?
answer :
11. A particle moves in the xy plane so that its position at any time is given by the parametric equations x(t) = t^2 - t^3 and y(t) = 9 - 6t. What is the speed of the particle at time t = 2 ?
Answer :
12. Which of the following is the solution to the differential equation dy/dx = -3y with the initial condition y(0) = 7 ?
a. y = 7e^-3x
b. y = e^-3x + 6
c. y = -3/2x^2 + 7
d. y = √(49-6x)
Answer :
13. Consider the series. Which of the following statements is true ?
a. The series converge absolutely
b. The series converge conditionally
c. The series diverges
d. It cannot be determined whether the series converges or diverges from the information given
Answer :
14. If f is a function such that lim x→∞ = 0 , which of the following could be an expressive for f(x)?
Answer :
15. ∫(x+1)/(x(x+3)) dx = …
Answer :
1. If g(x) = x^2 √(x+1) , then g’ (3) = …
2. 0∫4 100 e(x/4) dx = ...
3.
4. Let f be a vector valued function with f(0) = (-2,3). If the instantaneousrate of change of f with respect to t is given by (3t^2 +4t+1, 2t^3 + t -2 ) what if f(1)?
5. Lim x→4
(2-√x) / (x-4)
40. Hasil dari ∫ (x+3) (x^2 + 6x)^3 dx adalah …
Jawaban :
37. Hasil dari ∫ (4x^3 - 6x^2 + 2x +3 ) dx = …
Jawaban :
35. Persamaan garis lurus yang menyinggung grafik f(x) = 2x^3 + 3x^2 + x di titik (-1,0) adalah …
Jawaban :
34. Persamaan garis singgung grafik y = x^2 - 4x - 5 yang sejajar dengan garis 2x - y - 6 = 0 adalah …
Jawaban :
33. Fungsi f(x) = 7/3 x^2 + 16x^2 - 15x + 6 naik pada interval …
Jawaban :
32. Fungsi f(x) = 2/3 x^3 - 7/2 x^2 -4x + 5 turunan dari interval …
Jawaban :
26. Let f be function defined by f(x) = x^3 + x. If g is the reverse function of f, what is the slope of the line tangent to the graph of g...
