# Pre- Calculus

21,868 results, page 68

1. ### calculus

evaluate the definite integr 2 ∫ (x+1/x)² dx 1
2. ### Calculus

Show that there are at least two values of x in the interval (−π,π) such that x=1+sin(x)
3. ### calculus

Integral of ln(sinx+cosx) with respect to x from -pi/4 to pi/4
4. ### Calculus

Find the limit: lim x-> 2 ln(x/2)/ (x^2−4) Can someone help me with this?
5. ### Calculus

Evaluate by U-substitution: the integral of xcubedroot(x-2) dx
6. ### calculus

Find the integral of (sin^5 x)(cos^5 x)
7. ### Calculus 1

find an expression for a cubic function f if f(1)=6 and f(-1)=f(0)=f(2)=0
8. ### calculus

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

Suppose f and g are functions that are differentiable at x=1 and that f(1)= 2, f'(1)= -1, g(1)= -2, and g'(1)= 3. Find the value of h'(1). h(x)= [x f(x)] / [ x + g(x) ]
10. ### calculus

Find the limit lim x ->0 (sin^2 2x)/(x^2)
11. ### Calculus

I need to find the next 3 terms...but I can't figure out what the rule for this! 3, 5, 3 1/2, 4 1/2, 3 3/4, 4 1/4, 3 7/8, 4 1/8... please help! thank you so much
12. ### calculus

Let P= (V^2)R / (R+r)^2 Calculate dP/dr, assuming that r is variable and R is constant.
13. ### calculus

solve the initial value problems: 1- dq/dz = 2 + sinz, q(0)=5 2-dy/dx = (x^2 -2)x, y(2)=4 3-dy/dx = 4e^5^x + x, y(0)=4 4- dy/dx 3x + 2, y(3)= 2
14. ### calculus

discuss the curves under the headings given in this section y=x/x-1
15. ### calculus

find the point on the line 6x+7y-5=0 closest to (2,2)
16. ### calculus

Find relative Minimum and Maximum f'(x) = (9-4x^2)/ (x+1)^1/3
17. ### Calculus

Find the coefficient of the x^2 term in the expansion of (3x - (2/x^2))^8
18. ### Calculus

Evaluate the integral: (cos(2-3x) - tan(5-3x))dx
19. ### 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
20. ### Calculus

I need help I have to submit work at 12 est time
21. ### Calculus

Find k such that the line [y=5x-4] is tangent to the function : x^2-kx
22. ### calculus

2x*sqrt(3x^2+4) Find all critical numbers:
23. ### calculus

evaluate the intergral using substitution ingergral[(x^2-e^3x)/(x^3-e^3x)^2]dx
24. ### Differential Calculus

Given that p=(2q^2-5)^2. when q=3, it is increased by 0.7%. find the appropriate percentage in p.
25. ### integral calculus

Find the area between the curves y=5x and 2y=5x^2
26. ### calculus

Find the derivative. f(x)=ln(8-e^-x) I got -e^-x/8-e^-x but it was wrong. WHAT DID I DOOOO?!
27. ### calculus

Find the derivative. f(x)=ln(8-e^-x) I got -e^-x/8-e^-x but it was wrong. WHAT DID I DOOOO?!
28. ### Calculus

I need help with integrals and I need help with the problem. Integral of 4/sqrt(x)dx
29. ### calculus 1a

simplify the following expression tan(sin^-1(2x))
30. ### Calculus

The expression e^x / e^(4+x) can be written as e^f(x), where f(x) is a function of x, find f(x)?
31. ### calculus

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

Evaluate the integral. HINT [See Example 2 and 4.] (Remember to use ln |u| where appropriate.) (1/v7 + 5/v) dv
33. ### Calculus

Find the following interval: (2e^(2sqrt(y))/sqrt(y))
34. ### calculus

integrate (cos3x)^2/(1-2pcos(2x)+p^2) dx from x=0 to 2pi for 0<p<1
35. ### calculus

Calculate the indefinite integral: ∫(4x-3/x)dx
36. ### calculus

Find the particular antiderivative that satisfies the following conditions: dy/dx=8x^-2+6x^-1-3 where y(1)=7
37. ### calculus

I need help with the following question: Which of the following is an example of a function whose derivative is always 3? Choices are: f(x) = x=3 f(x) = 5x+3 f (x) = 3x+5 f(x) = 3 Thank you.
38. ### Calculus

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

Find dx/dy by implicit differentiation x^2y+y^2x P.S: It's calculus
40. ### Calculus

Given that 1 x^2 dx=1/3, 0 use this fact and the properties of integrals to evaluate 1 (8 − 3x^2) dx. 0
41. ### calculus

Surface area of revolution y=(x^3)+3 about the x-axis from (0,1)
42. ### calculus

In the given right triangle, find the missing length.
43. ### calculus

Find the coordinates of the vertex of the graph of f(x)=2x^2+10-1
44. ### Calculus

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

Use integration by parts to find ∫ 2x e-x dx.
46. ### calculus 2

1.Find the length of the curve y=ex+1e−x between x=0 and x=1.
47. ### calculus

f(x)= {kx-3 if x is less than or = to 1 {x^2+k if x is greater than 1 find k such that lim f(x) (x to 1) exists
48. ### Calculus

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

Using Descartes' Rule of Signs, solve: f(x)=x^3+x^2-x+1.
50. ### Calculus

[Implicit Differentiation] (6+y)^3 + 4y = x + 55 with y' at (1, -2) y' at (1,-2) =? I got this far but I'm not sure if I'm doing it right: 3(6+y)^2(1dy/dx)+4dy/dx=1
51. ### calculus

find the perimeter of the norman window if a= 11 ft and b= 14 ft
52. ### calculus

What is the slope of the curve x = cos(y) at the point where y=-pi/3
53. ### calculus

Consider the function whose second derivative is f''(x)=7x+6sin(x). If f(0)=2 and f'(0)=3 , find f(x) .

The linearization at a=0 to sqrt(1+2x) is A+Bx where A is____ and where B is _____? A=? B=? Ty
55. ### calculus

Find a value c in the interval [0,2] such that f(c)is equal to the average value.
56. ### calculus

integrating e^1/3dx i got 3e1/3 +c pls am i right
57. ### calculus

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

Hi i need help for calcul with a Moivre's theorem: ( 1/2 ( -1 - i√3 )) ^3 thanks for your help
59. ### Calculus

Find arccos (sqrt2/2). Can this be pi/4 and 7pi/4?
60. ### Calculus

Find all the points of inflection of the function: f(x)=x^3-3x^2-x+7
61. ### Calculus

series: n=1 to n=inf of 6/(n^3-4) convergent or divergent?
62. ### Check Calculus

What is the sum of 3 forces in equilibrium? Is it F3 = - (F1 + F2) or 0?
63. ### calculus

what is the quotient of the sum and difference of 370 and 25
64. ### Calculus

6. Find out if the line r = (1, 3, 8) + t (-2, 5, 7) is parallel to the plane 3x + 4y - 2z = 1
65. ### Calculus First Derivatives

If f(2) = 2.5 and f'(2) = -2.5, then f(2.5) is approximately... I have no idea how to do this without an equation.
66. ### Calculus

5. Determine an equation for the plane that is exactly between the points A(-1, 2, 4) and B(3, 1, -4).
67. ### Calculus

Let A be the area of the circle with the radius r. if dr/dt = 5, find dA/dt when r = 1
68. ### calculus and precal

find k such that f(x)=3k-2x+3kx^2-x^3 has a factor of (x-2).
69. ### calculus

Find a formula for the inverse of the function f(x) = (4 x-1)/(2x+3)
70. ### calculus

Find a function f from R to R such that f is continuous at only one point?
71. ### calculus

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

Consider the function f(x)=(7/x^2)-(6/x^6). Let F(x) be the antiderivative of f(x) with F(1)=0. Then F(2) equals _____.
73. ### Calculus

How do you integrate square root of (4-x^2) ? Pleasee help!
74. ### Calculus

f (x) = 8x^3 - 12x What is the question? You have defined a function but not said what you want to do with it.
75. ### Check Calculus

What is the sum of 3 forces in equilibrium? Is it F3 = - (F1 + F2) or 0?
76. ### Calculus

How do I integrate (x^2)(e^(x^3)) dx? I think it is integration by parts but after trying that, I got confused?
77. ### calculus

Find the average value of the function on the given interval f(x) = 2x^3(1+x^2)^4, [0,2]
78. ### Calculus

For the function g(x) = xe power x, there is inflection point at?
79. ### Calculus

How did I solve this? Find the change in y if x changes from 1 to 3. The equation is y=f(x)=2x^2+5
80. ### calculus

Find the Maclaurin series of xcos(x^2).
81. ### calculus

how do you find the x and y intercepts of an equation? i forgot.
82. ### Calculus

find the limit of ((sqrt(x+4))-2)/x as x approaches 0.
83. ### Calculus

6. Find out if the line r = (1, 3, 8) + t (-2, 5, 7) is parallel to the plane 3x + 4y - 2z = 1
84. ### Calculus

5. Determine an equation for the plane that is exactly between the points A(-1, 2, 4) and B(3, 1, -4).

7. Where does the line r = (1, 2, -5) + t (2, -3, 1) meet the plane 2x + 5y - 3z = 6?
86. ### calculus

Find the DERIVATIVE: h(x)= e^3x+2/e^3x-2 (quotient rule)
87. ### calculus

Let f(x) be the function 6x^2-2x+8. Then the quotient (f(10+h)-f(10))/h can be simplified to ah+b for a and b eaquals what?
88. ### Calculus

6. Find out if the line r = (1, 3, 8) + t (-2, 5, 7) is parallel to the plane 3x + 4y - 2z = 1
89. ### Calculus

5. Determine an equation for the plane that is exactly between the points A(-1, 2, 4) and B(3, 1, -4).
90. ### calculus 2

what is the polar area between r=5sinx and r=5cosx
91. ### Calculus

How do you find the indefinite integral of (x^2-29x+5)/(x-4)^2(x^2+3)?
92. ### Calculus AB

If r and s are roots of the pokynomial equation x^2 + bx + c, show that b=-(r+s) and c=rs
93. ### Calculus

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

Is sum of sin(pi/n) DV or CV? I don't understand why it is DV.
95. ### calculus

find dy/dx of xsiny+cos2y=cosy
96. ### AP Calculus AB

how do you solve limit approaching 0 of (sin^2x) / (x)
97. ### CALCULUS

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

Demostrate that: d/dx [tan^-1(x)]= 1/1+ x^2 -> using implicit differentiation
99. ### Calculus

Evaluate the integral: sin^2(5x)cos^2(5x)dx
100. ### calculus

Demostrate that: d/dx [tan^-1(x)]= 1/1+ x^2 -> using implicit differentiation.