# Pre- Calculus

21,894 results, page 72
1. ## Calculus

Find the derivative of (b/(a+z^2))^2 Assuming that a and b are constants...
2. ## Calculus

F(x)=Integral of (-12sinx/cos^2x) dx+c F(0)=4. Find C
3. ## calculus

U-Substitution 1. 3x(sin^2((3x^2)+1)cos((3x^2)+1)dx 2. (x^3)(sqrt((3x^2)+1)) dx u = ((3x^2)+1) then?
4. ## calculus

how would i find the deriviative of y= x^ (- square root of 2)
5. ## calculus

What is the limit as x approaches infinity of radical (9x*2+x)-3x?
6. ## calculus

w=4e^sqrt(s) Find the derivative of the function.
7. ## Calculus

Find the domain of the following function h(x,y) = sqrt(x-9y+5)?
8. ## Calculus

Find the equation of the plane through (1,2,-2) that contains the line x = 2t, y = 3 - t, z = 1 +3t
9. ## Calculus

Find the slope of the normal line to y= ln(15-x) at x=4
10. ## Calculus

Knowing that F(-2) = -7, F'(-2)= 12, g(-2)= -3 and g'(-2)= -9, Compute: a) h'(-2) if h(x)= f(x)g(x) b) h'(-2) if h(x) = f(x) / g(x) c) h'(-2) if h(x) = g(x) / 1+(f(x))^2 Show all steps
11. ## Calculus

Using a linear approximation or differentials, approximate:(26.98)^(3/4) thank you for your help!
12. ## calculus

evaluate the indefinite integral of (9xe^4x^2)dx
13. ## Calculus

Find dy/dx in terms of x and y if xlny+y^6= (9)lnx
14. ## Calculus

Evaluate the integral: (cos(2-3x) - tan(5-3x))dx
15. ## Calculus

Find the slope of the tangent to the curve y^2=x^3/(xy+6) at (6,3)
16. ## Calculus

can someone help me find the antiderivative of: f(x)=4x times the squareroot of (1-x^2)
17. ## Calculus

Find dy/dx in terms of x and y if xlny+y^6= (9)lnx
18. ## Calculus - Limits

lim x--> 3 (3 - x)/ (x^2 - 9) I know the answer is -1/6, but I can't figure out how to get there.
19. ## Calculus

If y= pie^2 then dy/dx = 2pie true or false ?
20. ## Calculus

Does the series (cos(k/3))^2/2^(k/3)+1 from k=1 to infinity converge?
21. ## calculus

find L- Hospital lim x_---- inf 1/e^(-x)=
22. ## calculus

find L- Hospital lim x-> inf f(x)=1/e^(-x)
23. ## calculus

use implicit differentiation to find dy/dx if 5xy+x^2y=10
24. ## Calculus

Simplify using basic simplification. f(x)=ln[(sqrt(x^2+1))/(x(2x^3-1)^2)]
25. ## college Calculus Help!

If f(x)= ∫(21,x) t^5 dt then f'(x). my answer was 1/6 (21^6-x^6) it said it's wrong.
26. ## calculus

implicit differentiate this equation in terms of y x^2y^2=(y+1)^2(4-y^2)
27. ## calculus

find dy/dx of xsiny+cos2y=cosy
28. ## Calculus

Find the points at which f(x)=x^2(x+1)^3 has a horizontal tangent.
29. ## Calculus

For what values of k does the series ∑n=1 to infinity (11/(2k^2 + 3))^n converge? I think this is k < -2 and k > 2.
30. ## Calculus

Find the derivative of f(x) = x^3 Show all the work please and thank you!
31. ## calculus

limx--->3- 5/x-3 I think it is -inf but I don't know how to prove it
32. ## calculus

3) f(x)=x^(2)/6x^(2)+4. List the x values of the inflection points of f.
33. ## Calculus

use the intermediate value theorem to determine whether there is a zero f(x) = -3^3 - 6x^2 + 10x + 9 ; [-1,0]
34. ## calculus

Find the derivative of the function. G(y) = (y − 1)3/ (y2 + 2y)7
35. ## calculus 1a

simplify the following expression tan(sin^-1(2x))
36. ## calculus

Find limit of 2x+1-cosx/3x as x approaches 0?
37. ## calculus

i have to find the derivative (first) of y= tan^2 (3x-π) ^that is (3x- pi)
38. ## Calculus

If f(x) and g(x) are continuous functions with f(6)= 3 and limit as x approaches 0 of (5f(x) - g(x)) = 4, what is g(6)?
39. ## Calculus

Find dy/dx for y=3tan^-1(x/2). I know the answer is 6/x^2+4 but I'm stuck at y'=3(1/1+(x/2)^2)(1/2)
40. ## calculus

Write an equation of the line tangent to y=(9-x^2)^2/3 at x=1
41. ## Calculus

Find the foci of the equation 25^2 + x^2 = 600 Thank you!
42. ## calculus

how can I calculate this deriivative: 1/(sin(x-sinx))?
43. ## Calculus

if x=e^t and y=(t-3)^2 , find an equation y=mx+b of the tangent to the curve at (1,9).
44. ## Calculus

Integrate Cos^7(2x) Explanation would be helpful
45. ## Calculus

Find one sided limit lim x->2+ 1/(1+e^(1/x-2))
46. ## calculus

Solve the following differential equation: f"(x)=sinx, x(0)=0, x'(0)=1
47. ## calculus

find the derivative with respect to x: sqrt(x+s) = (1/x) + (1/s)
48. ## calculus

find the derivative of (x^2+1) 3rd root of x^2+2
49. ## calculus

Question: what is the derivative of f(x)=x^2*e^x Would the answer simply be 2x+e^x?
50. ## Calculus 1

Given f(x)= 3e^(1-x^2)*ln(x), find the equation of the tangent line at x = 1.
51. ## Calculus

Calculate the dot product of two vectors: m = [4,5,-1] and n = [6,-2,7]
52. ## Calculus

Let f(x)=x^2-8x+16 and g(x) x^2-16. For what values of x is f(x)/g(x) increasing? Explain plz~
53. ## Calculus

Find the points of discontinuity. f(x) = { 16/x^2 if x ≥ 2 { 3x - 2 if x < 2
54. ## calculus

Integrate using the simplest method possible: ∫(t – 1)5(2t – 7)dt
55. ## calculus

Evaluate the following integral: (X)(cube root(x+1))dx
56. ## Calculus

washer method!? Find the volume of y=x^2+3, y=3, between [0,2] around y=3
57. ## calculus

INTEGRATION USING PARTIAL FRACTIONS a) 4x^2-3x+2 / x^3-x^2-2x dx b) x^2 / (x+1)(x+1)^2 dx c) 3-3x / 2x^2+6x dx d) x^2+2x-1 / (x^2+1)(x-1) dx ##anybody can help me for this question?
58. ## Calculus

Washer Method: y=x^3, y=1 ,x=2 aroud the Y axis
59. ## calculus

Use integration by parts to find ∫ 2x e-x dx.
60. ## Calculus

Find limit as x approaches 0 [7x/(sqrt(x+4)-2)]
61. ## calculus

If (a,-12) is a point on the graph of y=x^2+7x, what is a? please show work
62. ## calculus

For what values of z will (2-z)-y = 0 4x+(1+z)y = 0 have an infinite number of solutions.
63. ## AP Calculus

Using the definition of derivative find f'(x) when f(x) = (1/sqr x) + x.
64. ## Calculus

Find the derivative w/ respect to x: g(x) = ln(sec(x))
65. ## calculus

what is the area of the region bounded by the curves y=x^2 , y=8-x^2 , 4x-y+12=0
66. ## Calculus

Why is the linearization of any natural log function always going to be x?
67. ## calculus

Find all horizontal and vertical asymptotes of f(x)= 2x^2 + 7x + 12/ 2x^2 + 5x - 12
68. ## Calculus 1

In the problem, x and y are differentiable functions of t. Find dx/dt when x = 3, y = 4, and dy/dt= 2. x^2 + y2^2= 25
69. ## Calculus

When given the f graph, how do you determine extrema of F(x)? Concavity of F(x)?
70. ## Calculus 1

In the problem, x and y are differentiable functions of t. Find dx/dt when x = 3, y = 4, and dy/dt= 2. x^2 + y2^2= 25
71. ## integral calculus

Find the area between the curves y=5x and 2y=5x^2
72. ## Calculus help

Find the area under the graph of f(x) = e-ln(x) on the interval [1, 2].
73. ## calculus

find the derivative of f(x)=cot(3x)csc^2(3x)
74. ## calculus

Describe three situations in which you may want to know the projection of one vector onto another.
75. ## calculus

Find the second derivative of the function: y=e^-2t*cos^2(t+(pi/4))
76. ## Calculus

Given a power function of the form f(x)=ax^n, with f'(3) = 14 and f'(6) = 28, find n and a.
77. ## Calculus

Find the derivative of the integral from x to 6 of ln(1 + t^2). My answer is -ln(1+x^2).
78. ## calculus

The antiderivative of arctan(4t)dt by integration of parts.
79. ## calculus

For a function f, let f*(x)=lim (f(x+h)-f(x-h))/h h->0 Determine f*(x) for f(x)=cos(x)
80. ## Applied Calculus

Find the third derivative of the function: (5t+4)^(1/2)
81. ## calculus

Determine the values of a and b for the function f (x) = ax^3 + bx^2 + 3x - 2 given that f (2) = 10 and f ′(-1) = 14. Please help, Thanks!
82. ## calculus

sin y = x^2 = y in an open interval 0¡Ü x ¡Ü 2¦Ð find dy/dx
83. ## calculus

Show that ln(4+x) is the sum of its Taylor Series for -2 <= x <= 2.
84. ## Calculus

FIND THE DERIVATIVE OF THE FUNCTION f (x) = 10e^xk
85. ## Calculus

Determine the following limits if it exists. a. lim x-->5 (4x/x-5)
86. ## calculus

Use the second derivative to determine the point of inflection for y = x3 – x2 – 8x + 12. ????
87. ## CALCULUS

FIND THE DERIVATIVE OF THE FUNCTION f (x) = 10e^x
88. ## calculus

Use the second derivative to determine the point of inflection for y = x3 – x2 – 8x + 12. ????
89. ## calculus

How would you integrate tan5xdx ? Thanks in advance. Can you use u substitution?
90. ## Calculus

Given k(p) = |p|+4, find the average value of this function on the interval from -4 to 4. I get 6.
91. ## CALCULUS

FIND THE DERIVATIVE OF THE FUNCTION f (x) = 10e^x
92. ## Calculus

Find the tangent approximation for sqrt(5+x) near 3
93. ## calculus

how is the lim as x heads towards infinity of 3/(1+(3/x) equal to 3?
94. ## Calculus

Find the derivative. s=t^6tan(t)-sqrt t
95. ## Calculus I

Find numbers a and b such that: lim (sqrt(ax+b)-9)/x =1 x->0
96. ## Calculus

Find a quadratic model for the sequence. -4, -4, -3, -1, 2 A.y = 0.5x^2 - 0.5x - 4 B.y = 0.5x^2 - 1.5x - 3 C.y = 4.5x^2 - 21.5x+21 D.y = -4.5x^2 + 21.4x - 21