# Pre- Calculus

21,911 results, page 73
1. ## Calculus

Find the derivative of 1/(1+(x-3)^2) Steps would be appreciated.
2. ## calculus

find the arc length from (x1,y2) to (x2,y2) on the graph F(x)=mx+b
3. ## calculus

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

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

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

lim sinx as x approaches pie/r
7. ## Calculus (derivatives)

Find the derivative of cos^2(4x)
8. ## Math-Calculus

If f(x)=5ex+4xe find f'(x) .
9. ## Calculus

Use linear approximation to approximate f(0.8) given f(x)=2x^3-3x+1 I'm not sure how to do it without a point given.
10. ## Calculus

If the limit as x approaches infinity (6x^2/200-4x-kx^2)=1/2, then k= A. 3 B. -3 C. 12 D. -12 E. -3
11. ## Calculus

Find f''(1/2) using f(x) = ln(1-x). f'(x) = 1/(1-x) * -1 = -1/(1-x) so then using quotient rule: f''(x) = ((-1*-1) - ((1-x)(0))) / (1-x)^2 f''(1/2) = 1/(1-(1/2))^(2) = 4 Is this correct?
12. ## Calculus

Find the slope of the curve f(x)=1/(x^2+3). My answer: (-2x)/(x^2+3)^2
13. ## Calculus

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

How do you find the derivative of f(x)=sin2x/cos2x
15. ## calculus

if f(x)=ln(x^3 +1) find f '(3), correct to 2 decimal places
16. ## Calculus

If the y-coordinate at each point of inflection on the curve y=e^(-x^2) is 1/e^a, then a = ?
17. ## calculus

if f(x)=ln(x^3 +1) find f'(3), correct to 2 decimal places
18. ## Calculus

Find the anti-derivative of the integral [(7t^2+6t-15)/t^4]dt
19. ## calculus

how would you represent the area outside given y= 4cos(2theta) but outside y=4 ?
20. ## Calculus

Evaluate using Integration by Parts. x^2 cos(3x) dx
21. ## Calculus

what is the limit of arcsinx as x approaches 1 from the left
22. ## Calculus

Find the area bounded by the y-axis and x = 4-y^2/3 Thanks!
23. ## calculus

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

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

If f(x)=8x +2 find the exact area under the curve from x=0 to x=2.
26. ## calculus

find the slope of the tangent at the given point. Y=2x^4 (-1, 2)
27. ## calculus

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

Find the critical numbers of the function. f(x) = x^4*e^-8x
29. ## Calculus

Determine whether Ax = lnx/(sqrt x) is convergent
30. ## bus. calculus

: intervals of increase and decrease for f(x)=(x-3)(x^2-6x-3)
31. ## calculus

Find the most general antiderivative of the function 1) f(x)= (X^3)^1/4 + (X^4)^1/3 2) f(u)= U^4 + 3ãU / U^2
32. ## Calculus

r=log(cos^2(4theta)) what is the derivative of this?
33. ## Calculus

The value of y changes by 3 units when x changes by 0.1 unit. About how fast is y changing?
34. ## Calculus

Find the area bounded by the y-axis and x = 4-y^2/3
35. ## Calculus

If a function f(x) is continuous, then what can be said about the value of the following limit lim-->2 [f(x) +4x]
36. ## calculus

lim (-x+10)/(x©÷-100) x¡æ10 is this correct? 1/20
37. ## Calculus

Differentiate using the chain rule: y=(x+(x+x^(1/2))^(1/2))^(1/2) y'=(1/2)(x+(x+x^(1/2))^(1/2))^-(1/2) what are the next steps?
38. ## Calculus

inding vertex and focus of parabola y^2 +4y +8x - 12 =0
39. ## calculus

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

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

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

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

find the derivative of the function. f(x) = − 1/7(x^-7-x^14)
44. ## Calculus check

The integral of (x^2-4secxtanx) dx= I got x^3/3-4secx+c
45. ## calculus

find the sum ∑(n/(n+1)!) from n=1 to infinity
46. ## Calculus

∫csc x cot^2 xdx
47. ## calculus

y=¡î(9-x©÷) find the x-axis using the disk method?
48. ## calculus

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

Let g(x)= integraton (top 3x, bottom 2) e^t^4 dt. Find the value of g'(0).
50. ## calculus

If 5x^2+3x+xy=2 andy=-12, find y'(2) by implicit differentiation.
51. ## calculus - Integration

Evaluate ∫ [(5+x)^2]/√x
52. ## calculus

Deternime the instantaneous rate of change at x=2 for: y=x-2x^3
53. ## calculus

Find the position function s(t) given acceleration a(t)=3t if v(2)=0 and s(2)=1.
54. ## calculus

I am having a problem with solving this Given the function f described by f(x)=x+3, find each of the following: f(0) f(-13) f(-12) f(1) f(4+8) can you help me please?
55. ## calculus

What function should be used to minimize the distance between and the point (2, 0)?
56. ## Calculus

How can i find f''(x) of the function f(x)= 2(cosx)(sec^2x)
57. ## Calculus

Evaluate the integral. (Remember to use ln(|u|) where appropriate.) cot^3(3x) dx
58. ## calculus

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

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

I need help with integrals and I need help with the problem. Integral of 4/sqrt(x)dx
61. ## Calculus

Evaluate the integral from 2/sqrt2 to 4; 1/(t^3 sqrt(t^2-4))?
62. ## Calculus 1

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

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

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

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

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

lim x->9 1 1 - - - 3 square root of x ___________________________ x-9
68. ## Calculus

Determine the interval on which f(x) = sqrt x-3 is integrable
69. ## Calculus

Find the average value of the function on the given interval: f(x) = e^x/5, [0,5]
70. ## Calculus

Calculate the slope of the graph of f(x)=4-x^2 if x<1 and 2x+1 if x>1 at each of the following points: a.P(-1,3) b.P(2,5)
71. ## calculus

how do you simplify log5 square root pq over 8
72. ## integral calculus

integrate. (1):sin2xcos3x (2):5(cos3x)^2
73. ## calculus

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

Find the area between the x-axis and the graph y = x^2 – x + 1 from x = 0 to x = 3.
75. ## Calculus

write the equation of line tangent to f(x)=(1/3x^3)-x^2+x-1 when x=1
76. ## calculus

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

Why is the linearization of any natural log function always going to be x?
78. ## 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!

M-3 M+5 is less than or equal to 0
80. ## Calculus 1

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

Determine the area of the region y=e^x,y=x^3
82. ## 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
83. ## Calculus

Show that the vectors (-1,2,3), (4,1,-2) and (-14,-1,16) do not lie on the same plane
84. ## Calculus I

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

Suppose that f(t)=Qoa^1=Qo(1+r)^t with f(4)=72.2 and f(10)=176.7. Find what a is and what r is.
86. ## Calculus

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

Find the interval on which f(x)=xe^-x is increasing. I got (1,infinity)..
88. ## calculus

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

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

simplify the expression. cos(2 tan^-1 x)
91. ## CALCULUS

State the intercepts, domain and range for y= |0.5x^2-2|.
92. ## AP Calculus

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

Find the values of x for which each function is continous: f(x) = x^3 -2x^2+x -1
94. ## Calculus

Find the interval on which f(x)=xe^-x is increasing. I got (1,infinity)..
95. ## calculus help

Evaluate!!!! integral -10 to 10 ((2e^x)/(sinhx+coshx))dx Thanks!
96. ## calculus

Please help. I need ( with details) how to differentiate with the chain rule f(x)=(x^2-6x+23)^3/2. I need to
97. ## calculus

sum_(n=-1)^infinity(-1)^(n+1) (1/3)^n = 9/4~~2.25... How do you find that out? Is there a formula?
98. ## 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
99. ## Calculus

Find the area bounded by the indicated curves. y=x^2, y=0, x=2
100. ## 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