# Pre- Calculus

21,868 results, page 73

1. ### Calculus HELP!

Use the fact that L{f'}=sF-f(0) to derive the formula for L{cosh at}
2. ### calculus

Solve the DE by using the Laplace transform: x''+x=cos(3t), x(0)=x'(0)=0
3. ### Calculus

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

Integrate with respect to x:4x^2.dx
5. ### Calculus

What is the limit as t approaches 0 for (sint)/(1+cost)?
6. ### calculus

y=x^3=cx and y=ax^2+bx-1 have a common tangent at (-1,-4). find a, b, andc
7. ### Calculus

find the flux of F=<0,y,z> across the parabolic sheet given by x=2y^2+2z^2+3, with x <= 5
8. ### Calculus

If f is the function defined by f(x)=(x^2+4x)^(1/3) and g is an antiderivative of f such that g(5)=7, then g(1) Is congruent to
9. ### 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

Use the Midpoint Rule to approximate the integral from 7 to 17 (1x-1x^2)dx with n=3
11. ### Calculus

What is the limit as t approaches 0 for (sint)/(1+cost)?
12. ### Calculus

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

Find the limit of the following as x ->2 6-x, if x<2 2x+1, if x is greater than or equal to 2

Let f(x) = x^3 - x^2 + x - 1. Find an equation for tangent line to f at x = 2.

Let f(x) = x^3 - x^2 + x - 1. Find an equation for tangent line to f at x = 2.
16. ### AP Calculus

Determine dy/dx if xsiny=artany i did (x)(cosy dy/dx) so far
17. ### Calculus

The limit as X approaches 8 of (2- cube root of x)/ (x-8)
18. ### Calculus

solve second-order initial value problem y"(x)= x e^-2x y'(0)= 0 y(0)= 0
19. ### Calculus

Find the limit of x as it approaches zero. (Sin^2 8x)/x^2
20. ### Calculus

Find the inverse Laplace transform of: F(s)=3/(s-4)
21. ### Calculus-HELP!!!

Find the inverse Laplace transform of: F(s)=2/s^4
22. ### Calculus-HELP!!!

Find the Laplace transform of: f(t) = cos^(2)(2t)
23. ### calculus

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

Find the centroid (¯ x, ¯ y) of the region bounded by: y = 6x^2+7x, y = 0, x = 0, and x = 7
25. ### calculus

how to you use partial fractions to compute the integral of ax/((x^2)-bx)dx?
26. ### calculus - Integration

Evaluate ∫ [(5+x)^2]/√x
27. ### Calculus 2

integral of xarctanxdx using integration by parts.
28. ### Calculus

two complex numbers Z and W are related by the formula W=(Z+1)/(1-Z) what is W if Z=1.5i? thanks for the help!
29. ### Calculus

Let y=e^(x/9). a) Find the differential dy. dy = b) Evaluate dy if x=0 and dx=−0.03. dy =
30. ### differential calculus

y = sin x find the derivative...
31. ### Calculus

Let y=e^(x/9). a) Find the differential dy. dy = b) Evaluate dy if x=0 and dx=−0.03. dy =
32. ### Calculus

Find the linear approximation L(x) of ln(x) at the point a = 12.
33. ### Calculus (related rates)

Find dy/dt when y = 2x2 + 2x + 4 and dx/dt = 14 when x = 7.
34. ### Calculus (related rates)

Find dy/dt where y = 2 sqrt(x)-4 and dx/dt = 9 when x = 4.
35. ### calculus

find the (conjugate of z) times (w) if z=[3,120] and w=[-1,-15]
36. ### Differential Calculus (first part)

if g(x) = cos2x find g(-x)
37. ### Calculus

Find the linear approximation L(x) of ln(x)at the point a = 12.
38. ### Calculus

Find the derivative of the function. f(x) = ex8 - 6
39. ### Calculus

Find the derivative of the function. f(x) = ex8 - 6
40. ### Calculus-HELP!!!

Find the Laplace transform of: f(t) = cos^(2)(2t)
41. ### calculus

Find the area of the region between the curves y = x^2 and y = 2/(x^2+1).
42. ### calculus (hint?)

f(x) is a twice differentiable function such that f(2x)=f(x+5)+(x−5)^2 What is f''(x)?
43. ### calculus

how do you separate these variables dy/dx=4sqrt(y)lnx/x, y(e)=9
44. ### calculus

Calculate the following integral: ∫ dx / x(1 - √x)^2
45. ### calculus 2

Can anyone help me calculate this? 28. lim x→∞ (e^x + 1)^(1/)x
46. ### calculus

dt/dx= ((x^2+a^2)^(1/2))/v1+((b^2+d^2)^(1/2))/v1 the function dt/dx has a zero at a unique x on (0,d). Use this to justify your discovery that d= (x^2+a^2)^(1/2) + (b^2+d^2)^(1/2)
47. ### Calculus - Partial Fractions

I've set a problem up, something like this. s^4: A+D=0 s^3: -2A+B-3D+E=0 s^2: 2A-B+C+3D-3E=0 s^1: -2A+B-D+3E=4 s^0: A+C-E=4
48. ### calculus

Find c for Rolle's Theorem for f(x) = x3 – 12x on [0,2 3 ]
49. ### calculus

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

Solve the initial value problem. dy/dx = 3 sinx and y = 2 when x = 0. Is this c = 5?
51. ### Calculus

Consider the function f(x)=(8)/(x^2)−(8)/(x^5) . Let F(x) be the antiderivative of f(x) with F(1)=0. Then F(2) equals ?
52. ### Calculus

Find the derivative of the function. g(t) = t2 ln(e2t + 9)
53. ### Calculus

Find the derivative of the function. f(x) = text(ln)(9 x^2 - 3 x + 1)
54. ### Calculus

Find the derivative of the function. f(x)=ln(sqrt(x)+6)
55. ### Calculus

Find dy/dx in terms of x and y if xlny+y^6= (9)lnx
56. ### calculus 1

differentiate x(x-3)^2 do I product and chain rule?
57. ### Calculus

The length of the graph of f(x) = 2/3x^(3/2) over [0,p] equals 52/3. Find p. I think p is about 8.09.
58. ### Calculus

Find the arc length given the equation y=(x^4/8)+(1/4x^2) [1,3]
59. ### Calculus

Find the arc length given the equation y=(x^4/8)+(1/4x^2) [1,3]
60. ### calculus

Find the values of x for which each function is continuous. 1.) f(x)= 2x+1/x^2+x-2 2.) f(x)= x if x is less than or =1 = 2x-1 if x>1
61. ### Calculus, derivatives

Derivative of y=(a^x)+(x^a). Show steps, please.
62. ### 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.
63. ### calculus

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

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

find the conjugate on z times w if z=[3,120] and w=[-1,-15]
66. ### calculus

In the given right triangle, find the missing length.
67. ### Calculus

can someone please prove the difference rule to me? d/dx[f(x)-g(x)]=d/dx f(x)- d/dx g(x) plz help
68. ### Calculus

Find max or min: y = x * cosx
69. ### calculus

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

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

With is the integral of (9(sinx+cosx))/sin(2x)
72. ### Calculus help

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

limx→∞3x+127x+11
74. ### Calculus

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

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

does the sum 3/(2^(n)-1) converge or diverge? n=1--->infinity
77. ### Calculus

Is the series 2/ln(n) convergent or divergent? n=3 to n=infinity
78. ### Calculus II

Does 3/(2^(n) +1) diverge or converge in an infinite sum?
79. ### Calculus

Find the limit lim tan^2(7x)/9x x-> 0
80. ### Calculus

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

solve the inequality e^x+e^x-x=6 can you show work
82. ### Calculus

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

Find the integral. x^4/the square root of (x^5-1)
84. ### calculus

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

Lim(x>inf)=2000x^4/200x^4= 10
86. ### Calculus

(3x |x-2|) / x-2 What is the limit as x approaches 2 from the left side?
87. ### Calculus 1

Find an expression for a cubic function f if f(1)=8 and f(-1)=f(0)=f(2)=0
88. ### Calculus

what is the slope of the tangent to the graph of f(x)= ln [cos(x)] at x= pi/6 ???
89. ### calculus

find the equation of the curve for which y''=6x-4 and which passes through (1,2) and (-2,5).
90. ### calculus

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

find the equation of the curve for which y'=3x^2 and which passes through (1,-1)
92. ### Calculus

find the limit as x approaches 0 (arcsin x)/x
93. ### 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
94. ### calculus

Find the derivative of the function.... F (x) = 10e^x
95. ### Calculus

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

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

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

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

Find the third derivative of the function: (5t+4)^(1/2)
100. ### AP Calculus

Determine the critical numbers for y=sq root of (x^2 - 2x -15)