# Pre- Calculus

21,911 results, page 90
1. ## calculus!!

f(x)= x^3/x^2-4 defined on the interval [-18,20] f(x) is concave up on the region ? to ? and ? to ? the inflection points are ?, ? and ?
2. ## Calculus

-e^[(-(x-a)^2)/b] b>0; local max at x=7 and points of inflection are x=5 and x=9. Find the formula... y=
3. ## Calculus 2

Find the area of the region. Please show work so I can understand. 2y=5x^(1/2),y=3,2y+4x=9
4. ## Calculus - Integrals

Integral of (dt/[sqrt(t)+25tsqrt(t)]} From 1/75 to 3/25 I'm at a complete loss at what to do.
5. ## Calculus

How do I find the area of the region bounded by the graphs of the given equations? y=x+20; y=x^2
6. ## Calculus

The slope of the tangent to the curve (y^3)x+(y^2)x^2=6 at (1.2) is??????????? Is the answer -1/2 or positive, or am i completely off?
7. ## Calculus - Anti-Derivatives

How would you find the Integral of (cos(x\8))^3, defined from -(4 x pi)/3) to (4 x pi)/3)

9. ## calculus

y1= sin (x) y2= (tanx) It is graphed in the interval [0, pi/2] find the integral
10. ## calculus

I see that someone else on here had the same problem, I wanted to find the solutions for 5xe^x+1 but its not really an equation.
11. ## Calculus

Find constants a and b in the equation f(x)= ax^b/(ln(x)) such that f(1/8)= 1 and the function has a local minimum at x= 1/8
12. ## calculus/derivatives

I need to find the derivative and can't do them when they are raised to powers? Thank You. m(x)x^5 - 5x^3+7x -4)^10 (4x^9 +19)^23 this on is tuff!

determine the coordinates of two points on the plane with equation 5x + 4y - 3z = 6
14. ## calculus

Find the points on the curve y = 2x^3 + 3x^2 - 12x + 1 where the tangent is horizontal
15. ## Further maths

Under differential calculus using the product rule find the derivative of (2x+3)^3(4x^2-1)^2
16. ## calculus

f(x)= 7-5x^4 How would find the the absolute max and the x value? I think you have to take the derivative which is -20x^3 but then I am lost??
17. ## Calculus

Explain how you would use the power integration formula to integrate the function f(x) = (1/x^2)-(1/x)+(1/4).
18. ## Calculus

Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. f(x) = 4√x [4, 9]
19. ## calculus

Integrate sinx+cosx/rootsin2x with respect to dx...plzz help me
20. ## Calculus

Find the slope of the tangent line to the graph of f at any given point f(x) = -2x + 6 at (2,2)
21. ## Calculus

Consider f(x)=x^3-x over the interval [0,2]. Find all the values of C that satisfy the Mean Value Theorem (MVT)
22. ## Calculus

L'hopital's question below: lim x -> 0 from the positive direction of ( 5^(sin(x)) - 1 )/ (x)
23. ## calculus

solve the differential equation by seperation of variables 3. dy/dx=e^(2x)/4y3
24. ## calculus

y'=xy/2ln y how do you solve the differential equation by seperation of variables
25. ## Urgent Calculus Help 2

Find the equation of the tangent line to the graph of f(x) = 6x ln(x + 4) at x = 2.
26. ## calculus

can you find a sequence{an} such that {an} diverges, and the series of an converges? justify
27. ## calculus

Let f(x)=6x+16x^2 . Then the equation of the tangent line to the graph of f(x) at the point (2,16) is given by y=mx+b for m= and b=
28. ## Calculus

For which values of r does the function defined by y=e^(rt) satisfy the differential equation y''+ y'-6y = 0
29. ## calculus

solve the initial value problem by seperation of variables du/dt=2t+sec2t/2u, u(0)=-5
30. ## Calculus

Compute the surface area of revolution about the x-axis over the interval. y = x^2, [0, 4] Is it (pi/12)(65^2 - 65)^(3/2)?
31. ## Calculus

1. If the tangent line to y=f(x) at (4,3) passed through the point (0,2), find f(4) and f'(4). My answer: f(4)=3 f'(4)=1/4
32. ## Mulitvariable Calculus

How to proof tangential and normal components of a vector Thank you
33. ## Calculus 2

Find the area bounded by the curves y=sin(4x) and y=0 for x between x=0 and x=3pi/8.
34. ## calculus

Find the point (x,y) on the curve y=sqrt(x+4) closest to the origin.
35. ## calculus

Evaluate: (without using Hopital's rule) d) lim (6-3x)/(((5x+6)^1/2)-4) x->2 ^ | square root
36. ## calculus

Find the point (x,y) on the curve y=sqrt(x+4) closest to the origin.
37. ## calculus

Find an equation of the tangent line to the curve at the given point. y = 3x^2 - x^3, (1,2)
38. ## calculus

Which of the following is NOT a solution to cos^2 x = 3sin^2 x? 30 60 150 210 330
39. ## calculus

the distance between (9,2) and (x,7) is 10 units, I've worked it out till I got to , 10= sqrt of (x-9)^2+36 and I don't know what to do next. help?
40. ## calculus

solve the initial value problem by seperation of variables du/dt=2t+sec2t/2u, u(0)=-5
41. ## calculus

find the relative extreme of f(x) = 3x^4 - 10x^3 + x - 2 using your calculator. explain how you did it.
42. ## Calculus

find the volume generated when the ellipse x^2/9 + y^2 = 1 is rotated around the line y=5
43. ## Calculus

Find the equation of the tangent line to the curve below at point (0,3) y=6/(1+e^-x)
44. ## calculus

Express as a single logarithm ln(a)+1/2ln(b) 2ln4-ln2
45. ## Calculus

I need help solving for this final problem to complete my assigment. Please help! Solve for x: ln(x^4)-ln(x^2)=2
46. ## calculus

Oh pardon me i meant to ask what is the anti-derivative of square root x
47. ## calculus

select the equations of all lines through the orgin that are tangent to the curve y=x^3-8x^2-7x
48. ## Calculus

Use the Product Rule to find the derivative of the function. f(x) = (x^3 − 2x)(5x^2 + 2x)
49. ## calculus

Find the distance d(P1,P2)between the points P1 and P2. P1=(-5,2) P2=(2,1) d(P1,P2)=? *all the 1's and 2's are to be lower down.* Please show work
50. ## Ap Calculus

Find the equation of the tangent line to the graph of f(x)=cos3xlnx^4 at (1,0)
51. ## calculus

find the derivative of y=cos pix/sinpix+cospix
52. ## calculus

Find the interval of convergence of the series. ∑(sinx/10)^n
53. ## calculus

Express as a single logarithm ln(a)+1/2ln(b) 2ln4-ln2
54. ## calculus

integrate it by integrating factor (cos^3x)dy/dx +ycosx=sinx
55. ## Calculus

Give an example of a function that is integrable on the interval [-1,1], but not continuous on [-1,1]. Explain.
56. ## Algebra with calculus

write the expression in lowest terms: y^2+2y-8/y^2+5y-14 How do u do this problem?
57. ## calculus

Use integrals to prove that the volume of a sphere of radius R is equal to (4/3)(pi)R^3
58. ## Calculus

Find the slope of the tangent line to the curve 2(x^2 + y^2)^2 = 25(x^2 - y^2) at the point (3,1). Thank you very much for your help.
59. ## calculus

please help with this problem- i've been working for the last 2 hours and can't seem to find a solution the integral of ln(x^2-x+2)
60. ## calculus

Find the derivate of the function f(x) = 2x2 + 23x + 5 What is the value of this derivative when x = 19
61. ## Calculus

Use the quotient rule to find f'(x): f(x) = [(x+4)(x-5)]/[2x(x+3)] For the first part...do I put them together? Can someone please complete this.
62. ## calculus

Find the derivate of the function f(x) = 2x2 + 23x + 5 What is the value of this derivative when x = 19
63. ## Calculus question ?

Are there any horizontal asymptote on a ln natural log function
64. ## calculus

Verify the identity: (tanx+1)/(secx+cscx) = sinx
65. ## Calculus

Show that non positive rational number, x, exceeds its cube, x^3 by exactly 1.
66. ## Calculus

Use the graph of f(x)=x^2/(x^2-4) to determine on which of the following intervals Rolle's Theorem applies. A) [0, 3] B) [-3, 3] C) [-3/2, 3/2] D) [-2, 2] E) None of these
67. ## calculus

Find dy/dx and d^2y/dx^2 and then determine for which t values the curve is concave up: x=t^3 - 18t y=t^2 - 1
68. ## Calculus

Given a power function of the form f(x)=axn, with f(3)=20 and f(9)=1620, find n and a
69. ## Calculus

1. On what interval is the function f(x)=x^3-4x^2+5x concave upward? My answer: (4/3, infinity) ?????
70. ## Calculus

26. Find all points of inflection. f(x) = (5x-3)^(1/3) Note: I have gotten f''(x) = (-50/9)(5x-3)^(-5/3) I would like to know how to figure out the zeros.
71. ## Calculus

Differentiate and simplify as much as possible. Cube root(5z+6/-9z+3). The answer should be y'= (23(-9z+23)^2/3)/9(3z-1)^2(5z+6)^2/3) So far, I'm stuck at y'=[23/3(5z+6)(3z+1)][((5z+6)^1/3)/((-9z+3)^1/3)]

For the function f(x) = 18/(3x-14) determine the x-coordinate of any vertical asymptote
73. ## calculus

solve the inequality algebraically 7x-6 less than or equal to 3x^2 please show work
74. ## calculus

use L'Hopital's Rule to evaluate lim (4x(cos 8x-1))/(sin 8x - 8x) as x->0
75. ## calculus

Find the derivative of the function. 1. 2x+5/3x-2 2. (1-x)(1+x^2)^-1 Please show work. TYVM. :)

Determine an equation for the line parallel to 2x + 6y + 4z = 1 and contains the point P(3, 2, 1).
77. ## calculus

Find the numbers b such that the average value of f(x) on the interval [0, b] is equal to 9. f(x)=7+10x-3x^2
78. ## Calculus

Explain why a line in three-space cannot be represented by a scalar equation.
79. ## Calculus

Trying find the critical numbers for X^3+X^2-8x But i cant remember how to simplfy the derivitive of 3X^2+2X-8 can someone help me?
80. ## Calculus

Givenƒ(x) = e^x, verify that lim (e^x+h-e^h) / h = e^x h->O = and explain how this illustrates that ƒ′(x) = ln e • ƒ(x) = ƒ(x)
81. ## Calculus

prove: if z is a complex number and 1/z=the conjugate of z over the absolute value of z squared.
82. ## Calculus

6) Evaluate the indefinite integral. ∫cosx/(7sinx+35)dx
83. ## Calculus

prove: if z is a complex number 1/2= the conjugate of z of the absolute value of z squared.
84. ## calculus

Use an appropriate local linear approximation to estimate the value of cotangent 44 degrees.
85. ## Calculus

Explain why a line in three-space cannot be represented by a scalar equation.
86. ## calculus

Use l'hopital's Rule to evaluate lim x in 0 of (4x(cos 6x-1 )) / sin 3x-3x
87. ## calculus help

find the derivative of the function. integral cos(x) to sin(x) ((ln(8+3v))dv)
88. ## calculus

find the limit. lim (5-e^x)/(5+3e^x) (x-> infinity) how would i go about solving this? thank you in advance to anyone who can help me.
89. ## calculus

Find the equation of the tangent line to the graph of the function f(x)=x-3/3x-5 at x=1
90. ## Calculus

Find the derivative of the function f by using the rules of differentiation. f(x) = 360
91. ## calculus

find one point on the graph of y= x+2cosx such that the tanget is horizontal
92. ## calculus

How do I use the product rule to find the derivative of the following. y=(x+1)(3square root x+7) y'= Please help
93. ## calculus

find the derivative of the function y=log absolut power 2-x
94. ## calculus help

find the derivative of the function integral from cosx to sinx (ln(8+3v)dv)
95. ## Calculus

Find if there are any vertical asymptotes: g(theta)= (tan4theta)/(4theta)
96. ## calculus help

Evaluate integral from -10 to 10 of ((2e^x)/(sinhx+coshx)dt) Show steps please Thanks!
97. ## Calculus 2

Determine the first three terms of the power series representations for the following functions: a) 2/(1+x)^3 b) 1/1+x^2 c) ln(1+x)
98. ## calculus

solution for limit as delta x approaches 0 (1-cos4x/1-cos2x)