# Pre- Calculus

21,887 results, page 80
1. ## Calculus Chain rule

y = (6x^2-6)^4/x I would appreciate it more if work was shown. Thank you (I have the answer but want to know how to do it)
2. ## Calculus

Find the distance from the point to the given plane. (1,−5,9), 3x+2y+6z=5
3. ## Calculus

find the limit(if it exists), if not explain why. lim x--> 4- (3[[x]]-5)
4. ## Calculus

Calculate the interval of convergence. Sigma from n=1 to infinity of (n!*x^n)/n^n.
5. ## Calculus

Write the expression as the logarithm of a single quantity. ln 2 + 1/2 ln(x +1)-2 ln(1+ x^(1/2))
6. ## calculus

Find the critical numbers for the function f(x) = 2x / sqrt(x-1)
7. ## calculus

Plot three points with first coordinate equal to (-2.8) and join them
8. ## Calculus

How do I find the normals to the curve xy+ 2x - y = 0 that are parallel to the line 2x + y = 0
9. ## Calculus

Find the Limit lim as t approaches 1 of (t^3+5t^2-13t+7)/(t^3-3t+2)
10. ## Calculus

Evaluate using tabular method: integral e^(2x)cos3xdx
11. ## Calculus

f(x) = sqrt(x+1) a=3 change of x =.8 to estimate f(3.8)-f(3) use linear approximation
12. ## calculus

Find the continuity of the region bounded by the two curves. y=x^2 and y=3x?
13. ## calculus

Find the limit if it exist lim t-->pi/3 (tan(t)/t)+1
14. ## calculus

Find the area of the region bounded by the curves y=x^2 & y=2x???
15. ## calculus

Find the length of the curve over the given interval: x=t+1 y=ln cos(t) for t=0 ---> t=pi/4
16. ## Calculus

let f(x)=(7+x)/(7-x), g(x)=7x/(7-x) Find formula for f*g and state the domain of the composition
17. ## calculus

at what point do the graph of the function f(x)=(x^2)+4x-1 have a horizontal tangent?

Determine the intervals where f(x)=e^-x^2/2 is increasing and decreasing
19. ## Calculus

Find the anti-derivative of the integral (7tan^2x+12)dx
20. ## calculus

find point(s) on the graph of the function f(x) = x^3 - 2 where the slope is 3
21. ## Fundamental Theorm of Calculus

Find the average value of f(x)=7x^{-2} on the interval [1,5]
22. ## Calculus AB

Could someone please help me with this? Calculate the instantaneous rate of change of f <note: f(x)=(x-6)/(x+6)> at x=6.
23. ## Calculus

find the dy/dx of s(t)= (4/3pi)sin3t+(4/5pi)cos5t
24. ## calculus

Let q(x)=(x^4)(e^-x). Calculate q'(x). Use q'(x) to determine whether q(5)<q(6) or q(5)>q(6) (do not use a calculator). Explain your reasoning.
25. ## Fundamental Theorm of Calculus

Find the average value of f(x)=3x^2-2 x on the interval [3,6]
26. ## Calculus

find the equation of a tangent line of x^(1/4) + y^(1/4) = 4 at the point (16,16)
27. ## Calculus

find the volume OUTSIDE the cylinder x^2+y^2=9 and INSIDE the sphere x^2+y^2+z^2=25
28. ## Calculus Test Question!!!!!

Find the derivative if y=x^1+sqrt2
29. ## CALCULUS

Find derivative of: g(theta) = cos^2(2theta-1)

31. ## Calculus Test Question!!!!!

Find the derivative if y=sec^-1 (x+3) Please any help.
32. ## calculus

indefinite integral : (sqrt(V^2sin^2(2pi/T*t))) dt
33. ## AP Calculus

Determine whether Rolle's Theorem is valid f(x) = 3 - |x - 2| for [-1, 5] if so, find c. if not, tell why.
34. ## Calculus

Find the limit. lim (x+2)/(radical(9x^2+1)) x-->infinity
35. ## Calculus

Can you please help me find the x and y intercepts of this equation. How do I solve this? y= x^2 √9-x^2
36. ## Calculus

Determine the interior angles of triangle ABC for A(5,1), B(4,-7) and C(-1, -8).
37. ## Calculus

Find the area bounded by the parabola 8+2y-y^2 and the lines y=-1 y=3
38. ## Calculus

Evaluate the indefinite integral. (5dx)/(xln(2x))
39. ## Calculus Help!!!

Find c > 0 such that the area of the region enclosed by the parabolas y=x^2-c^2 and y=c^2-x^2 is 13.
40. ## AP Calculus AB

If f(x) = |(x2 - 4)(x2 + 2)|, how many numbers in the interval [0, 1] satisfy the conclusion of the Mean Value Theorem?
41. ## Calculus

The graph of f(x)=(ax+b)/(x^2 - 5x + 4) has a horizontal tangent line at (2, -1). Find a and b
42. ## Calculus

Let f(x) = mx-12 if x is less than -5 = x^2 +5x -7 if x is greater than or equal to -5. If f(x) is a function which is continuous everywhere, then we must have m=_______
43. ## Calculus

Find the Critical Numbers? 1.) f(x) = 2x^3 + 3x^2 + 36x x=? 2.) g(t) = |5t − 4| t=?
44. ## Calculus

Show that the sum of the series ∑n(p^n) from n=1 to infinity (where 0<p<1) is S=p/(1-p)^2
45. ## Calculus

Find the shortest distance from a point P(2,-1,2) to a line L r= [-1,0,7] + t [4,1,-2].
46. ## calculus

what happens when Limit as x approaches infinity A) (sqrt(9+10x^2))/(7+9x)
47. ## Calculus

Evaluate the indefinite integral: ∫ from 1 to 2 of ln (x²e^x) dx Thank you for your help!!
48. ## calculus

What is the slope of the line tangent to the quadratic f(x)=4x^2−3x+6 at x=7?
49. ## calculus help!!!!

Find derivative of: g(theta) = cos^2(2theta-1)
50. ## Calculus

given that f, g, and h are differentiable functions and f(g(h(x))) = x, what is h'(x) in terms of f, f', g, g', and h? I have on clue on how to even start it. please help . thank you.
51. ## calculus

find the derevative (hint try to use limits) (x^2010 - 1 )\(x -1 )
52. ## calculus

how do you solve the initial value problem by separation of variables dy/dx=-x^2y^2, y(4)=4
53. ## CALCULUS!

When S is sales and t is time, and the original function is S(t), what does S'(24) and S''(24) represent?
54. ## Calculus

Find the area of the region bounded by the curves y=x^2 - 2x and y= x + 4
55. ## Calculus

Find the total area bounded by the curves y = x^3 and y = x^5 .
56. ## AP calculus

Find (dy/dx) for the following implicitly defined function: 2x = 3siny - 2y
57. ## calculus

write the product in standard form (1-4i)(3-2i) (squareroot-4+i)(6-5i)
58. ## calculus

Use table of integrals to evaluate the integral of x^4 sinxdx.
59. ## English

He must like studying calculus. Whats the noun function?
60. ## Calculus

Find the points on the lemniscate, given below, where the tangent is horizontal 2(x^2 + y^2)^2 = 49(x^2 − y^2)
61. ## calculus

Differentiate the following function. f (x) = 6 x 2 sin(x)tan(x) Where do I begin?
62. ## Calculus

1. Find a unit vector which is perpendicular to both of the vectors m=[4, 2, -3] and n=[2, -3, 1]
63. ## Calculus

2. Give that the vectors u=[2, t, -4] and v=[1, -3, t-4] are perpendicular, find the value of the constant, t.
64. ## Calculus

Hi, I have this question here that I'm not sure about. Any help is appreciated. Evaluate the integral from 1 to 3 of dx/(x-2). This seems like it should be really simple- is it 0?
65. ## Calculus 2

solve this differential equation: dy/dt=0.06y(600-y) y(0)=10 y(t)=?
66. ## Calculus

definite Integrals (using fundamental Theorem) Evaluate from -1 to 2(x^2 - 4x)dx
67. ## calculus

Find the area S of the regions y= square root (x) =x/3 x=25
68. ## calculus

Find the area S of the regions y= square root (x) =x/3 x=25
69. ## Calculus

2. Give that the vectors u=[2, t, -4] and v=[1, -3, t-4] are perpendicular, find the value of the constant, t.
70. ## Calculus

1. Find a unit vector which is perpendicular to both of the vectors m=[4, 2, -3] and n=[2, -3, 1]
71. ## calculus

what is the limit of (1-tanx)/(sinx-cosx) as x approaches pi/4?
72. ## calculus

how do you solve the initial value problem by using separation of variables dy/dx=-xy^2 when y(1)=-0.25
73. ## Calculus

If the tangent line to y = f(x) at (4, 3) passes through the point (0, 2), find f(4) and f'(4).
74. ## Calculus

If the tangent line to y = f(x) at (4, 3) passes through the point (0, 2), find f(4) and f'(4).
75. ## per- calculus

Parrallel to the line 4x+3y=3; containing the points (6,0) a)3x-4y=-24 b)4x+3y=24 c)4x+3y=18 d)3x-4y=18 show all work
76. ## Calculus

Find an equation for the tangent and normal to the curve x^2 + y^2 = 9 at x=1
77. ## calculus

Let q(x)=(x^4)(e^-x). Calculate q'(x). Use q'(x) to determine whether q(5)<q(6) or q(5)>q(6) (do not use a calculator). Explain your reasoning.
78. ## calculus

find the interval(s) where the following functions are increasing and decreasing. f(x)= x/4 + 4/x
79. ## calculus

find the derivative of the function f(x)= tan (10x^2)
80. ## Calculus

Find the derivative of the following: f(x)=ln(e^(2x)/(x^2-4)^3 Please show all steps so I can follow Thanks!
81. ## calculus

Find the x-coordinates where f '(x) = 0 for f(x) = 2x + sin(2x) in the interval [0, 2π].

83. ## calculus

Antiderivative problem! Given f'(x)=3cosx–11sinx and f(0)=–2,find f(x)=
84. ## calculus

let f(x)= (x-3)^-2 Show that there is no value of c in (1,4) such that f(4)-f(1)= (f prime of c)(4-1). Why doesn't this contradict the mean value theorem.

Solve initial value problem explicitly: 1. y'= ye^-x, y(0)=1 2. y'= 5xe^-y, y(1)=1
86. ## calculus

lim sinx as x approaches pie/r A) -(2^1/2)/2 B) (2^1/2)/2 C) (2^-1/2)/4 D) DOES NOT EXIST E) -(2^(-1/2))/4
87. ## calculus

equation of motion of roller coaster that y=sin(t/2),y=(t-1)(t-2)(t-3)(t-4)(t-5)
88. ## calculus

what is the maximum distance between f and g when f(x)=1/2x^2 and g(x)=1/16x^4-1/2x^2 on closed interval [0,4]
89. ## calculus

calculate the indefinite integral (cosx)/(sin^3x)
90. ## Calculus

Find the average value of the function on the given interval. f(x)=6x lnx; [1,e^2]
91. ## calculus 2

How to solve the definite integral of(3x+pi)cos3xdx from [pi over6,pi over 3]
92. ## calculus

find the indefinite integral: integration of tan^3(7x) dx
93. ## Calculus

Differentiate each function a) y = Cos³ x b) y = Sin(x³) c) y = Sin²xCos3x
94. ## calculus

f(x) |x|+1 x<1 -x+1 x>or equal to 1 evaluate f(1) choices a) 0 b) 2 c) 3 d) -1 e) 1 I answered b) 2, got it wrong
95. ## calculus

Find the general solution of the equation. 6t*dy/dt+y=sqrt (t),t>0.
96. ## calculus

Find y'' by implicit differentiation. 3x3 + 4y3 = 1
97. ## Simple Calculus

If f(x)=(x+1)^3(x^2-1)^2, what is the value of f'(2)? Details and assumptions f'(x) denotes the derivative of f(x).
98. ## Calculus

Find the average value of sqrt(cosx)on the interval [-1,1]
99. ## Simple Calculus

Let y = x^3 + ax^2 + bx. If (x,y) = (2,64) is a point on the curve and the slope of the tangent at x=-1 is 3, what is the value of a+b?
100. ## Calculus II

Find the indefinite integral. ∫xe^-4xdx