# Pre- Calculus

21,824 results, page 74

1. ### calculus

INTEGRATION BY PARTS... 1) e^5t sin 3t dt 2) xe^3x dx 3) x sec^2 x dx **anybody can help me for this question?
2. ### 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?
3. ### calculus

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

How many coefficients in the binomial series expansion of (1+x)^7 are divisible by 7?
5. ### calculus

find the differential dy of the given function y=3x-4 sec(2x-1)
6. ### calculus

Calculate the area between curves y=e^x and y=-e^x on the interval [0,1]
7. ### ap calculus

f(x)=x^3-2x^2+x and f'(x)=3x^2-4x+1 Find the value(s) of x where f(x) has a horizontal tangent (slope=0)
8. ### calculus

Using the function f(x)=4 - 1/(x+6)^2 A.what is the doamin? b.the range c. the asymptotes
9. ### calculus

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

let f(x)=(x^2+2x-15)/(3x^2+12x-15) Find the horizontal and vertical asymptotes of f(x).
11. ### Calculus

let f(x)=(x^2+2x-15)/(3x^2+12x-15) Find the horizontal and vertical asymptotes of f(x).
12. ### Calculus

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

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

∫[0,x^(3),(t)/√(1+t^(3)),] Find the derivative of the integral. A. (3(x^3))/((1+(x^9))^0.5) B. (x^3)/((1+x^9)^0.5) C. (3x^3)/((1+x^3)^0.5) D. (5x^3)/((1+x^6)^0.5) E. (3x^5)/((1+x^3)^0.5)
15. ### 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
16. ### Calculus

Let h(x) = 4x^2 + 2 x + 2. Let g(x) = 3√{x} + 1 (This is the third square root plus 1) (a) g(h(x)) = (b) h(g(x)) = (c) h(h(x)) = (d) g(x) + 1 = (e) g(x+1) =
17. ### calculus

find the equation of the line tangent to the graph y=3e^x at x=1
18. ### calculus

find the equation of the line tangent to the graph y=3e^x at x=1

solve 6x-2x^3 with first principal
20. ### Calculus

Differentiate with respect to theta Y=((sin3theta)(tan3theta))^12
21. ### calculus

Calculate g'(36^(1/2)), where g is the inverse of f(x) = ((x*x)+16x) for x less than or equal to -16
22. ### Calculus

Solve for x in the equation ln(16-12x)-2lnx)= ln4
23. ### Calculus

Solve for x in the equation ln(16-12x)-2lnx = ln4
24. ### calculus

Evaluate the indefinite integral of (5dx)/(xln(6x))
25. ### calculus

evaluate the indefinite integral of (5dx)/(xln(7x))
26. ### calculus

Find a formula for the exponential function that satisfies h(2)=22 and h(4)=14.08
27. ### Calculus

find the shortest distance between y= X+10 and Y=6√X
28. ### Applied Calculus

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

Find the integral of x^2 divided by the square root of (2x-x^2) dx
30. ### calculus

evaluate the following limit... ((1-x)/((1/e)-(e^-x))) as x approaches one
31. ### calculus

derivative of (3x+2)^6- 8(7x^2+9)^4 all cube rooted! plz help!
32. ### Calculus

At what value of x does the graph of y=9x^(1/3)+x^2 have a point of inflection?
33. ### Calculus

Find relative maxima and minima of g(x)= 2x^2+ 4000/x +10
34. ### Calculus

Evaluate \displaystyle \lim_{x \to 0} \frac{e^{44x} - 1}{x^2+2x}.
35. ### calculus

Find the general solution to the differential equation: yy’ – x2 = 3.
36. ### calculus

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

Evaluate  [double intergal (R xy dA)] , where R is the region bounded by x^2 +y^2 <=16 , x>=0 and y>=0
38. ### Calculus 2

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

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

Describe the level surfaces of g(x; y; z) = x2 - 2y2 + z2
41. ### Calculus-PLZ HELP! =)

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

find g''(x) if g(x) = xe^x I have g' as e^x(x+1) then g'' as e^x(1) or just e^x am I missing the mark?
43. ### Calculus

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

Estimate ç 6 0 6−x^2 dx using 3 left rectangles.
45. ### Calculus

Estimate ç 6 0 6−x^2 dx using 3 right rectangles
46. ### calculus

If x=t^3 and y=3t^5, where t is any real number, what is the derivative of y with respect to x at x=125 ?
47. ### calculus

use logarithmic differentiation to differentiate the function f(x)=2^x(x^2+2)^3(x^3-3)^7/(x^2+4)^1/2
48. ### Calculus

Find the derivative of the following function: f(x)= 10x-3/5x +6x
49. ### Calculus

If 2x-2¡Üf(x)¡Üx^2-2x+2, determine limx-->2f(x)= (Use squeeze theorem)
50. ### Calculus

Find the indicated limit. lim_(x->-63.5)(root3(2x + 2))
51. ### calculus

find the absolute maximum and minimum of sqrt 3 x^2/36 + (1-x)^2/32
52. ### 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) = (x2 + 11) g(x) h '(1) =
53. ### Calculus

Find the values of a , b , and c in the quadratic function p(x)=ax^2+bx+c such that p(2)=6, pŒ(2)=2, and pŒŒ(2)=3.
54. ### calculus

find equation of tangent line for x^(1/3) + y^(1/2)=2 at point (1,1)
55. ### Calculus

Find the values of a ,b, and c in the quadratic function p(x)=ax^2+bx+c such that p(2)=6, p'2)=2, and p''(2)=3. a = b = c =
56. ### Differential Calculus (first part)

if g(x) = cos2x find g(-x)

How to evaluate x=0 and dx=-.03? I got(1/9)e^(x/9)dx as dy of e^(x/9)and I don't know how I should plug them in.
58. ### 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 ?
59. ### calculus

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

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

Find the inverse Laplace transform of the function: F(s)=1/(s(s+1)(s+2))
62. ### Calculus

Find the linear approximation of f(x)=\ln x at x=1 and use it to estimate \ln 1.47.
63. ### Calculus

Find the limit of x as it approaches zero. (Sin^2 8x)/x^2
64. ### 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
65. ### Calculus

Find the limit as x approaches 0 of (tan6x)/(sin2x)
66. ### Calculus

State the domain and range for each: f(x) = 4x + 1 and g(x) = x^2 f(x) = sin x and g(x) = x^2 - x + 1 f(x) = 10^x and g(x) = log x
67. ### Calculus

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

Evaluate the Integral (x^5sqrt(10+x^6))dx by making a u-substitution.
69. ### Calculus

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

Find the limit: as x approaches 0 lim((5/x)-(5/sin(x))
71. ### brief calculus

Find f(x) if f(1) = 1 and the tangent line at (x, f(x)) has slope 6/x
72. ### Calculus

Find the critical points of f(x) = 0.05x + 25 + (180/x)
73. ### Calculus Sigma Notation

Find a and n such that: 8+16+32+64+128 (k=a) a=? n=?
74. ### Calculus

P(x) = 12x / (1-x) What are the critical points and where is P(x) increasing and decreasing?
75. ### 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 _____.
76. ### brief calculus

x/(x − 6)^2 I get ln(x-6)- 6/(x-6)+ C but it isn't correct, what should the answer be?
77. ### calculus

let f:[0,1] - [0,1] be continuous function .show that there exist a in [0,1] such that f(a)=a
78. ### calculus

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

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

Evaluate limit as x approaches 0 of: csc^2(7x)tan(2x^2)
81. ### Calculus

Solve the differential equation dy/dx=3x^2y^2 with the condition that y(1)=4. I know that y= -1/(x^3 + c) but what do I do with the y(1)=4 part?
82. ### Calculus

Find the area of the region enclosed by the parabolas y=x^2 and y+2x-x^2
83. ### Calculus

Determine whether Ax = lnx/(sqrt x) is convergent
84. ### Calculus-Math

Use the given information to find f '(8). f(x) = 9g(x) + h(x) g(8) = 1 and g'(8) = 5 h(8) = 8 and h'(8) = -3 f'(8)=
85. ### Calculus-Math

Find d2y/dx2 in terms of x and y. x^2y^2-2x=3
86. ### Calculus

What is the derivative of 3sin(4x)? I have no idea where to begin!!!
87. ### Calculus

Suppose the area under the curve y=xe^(-mx) from 0 to 1 is 0.4. Find m.
88. ### maths-calculus

find the limit as x approaches infinity, -(x+1) (e^(1/(x+1))-1)
89. ### calculus

Z=square root of(x^2+y^2) + xy Find the partial derivatives: x, xx, y, yy, xy. Thanks.
90. ### AP Calculus

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

f(x,y)=2xe^y-3ye^-x derive second order
92. ### calculus

Find the maximum and minimum values of f(x, y) = xy on the ellipse 8\!x^{2} + y^{2} = 9.
93. ### calculus

f(x)=x2(x−24). So f is decreasing (and f′ is negative) on the interval (0,a) for a= ?
94. ### calculus

Given g(x) = (x + cosx)/(e^x - 2x^3 + 5). Find g'(x). Do not need to simplify.
95. ### calculus

9) Find all critical numbers of the function f(t)=9t^2/3+t^5/3
96. ### Calculus 1

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

Find the point(s) (if any) of horizontal tangent lines: x^2+xy+y^2=6
98. ### Calculus

Using an appropriate linear approximation approximate 26.9^(4/3).
99. ### calculus

The function f(x) = (7 x+9)e^{-2 x} has one critical number. Find it.
100. ### calculus

find the derivative of y with respect to x if y=(13x^2-26x+26)e^-3x. y'=