# Pre- Calculus

21,911 results, page 88
1. ## calculus

Find the local max/min points for the function y=x^2 * e^x
2. ## Calculus

Find the derivative of the function y, below. It may be to your advantage to simplify before differentiating. y = 8x(ln(x)+ln(2))-4x+pi
3. ## calculus

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

show that an integral of the form ∫00,a e^(-px) dx is convergent if p>0 and divergent if p<0
5. ## Calculus

show the following linearization of the function f(x)=cos(3x)-3sin(3x) at x=2pi
6. ## Grade 12 Calculus University

Hello ^___^ Please help me! Thank you very very much! Determine if the planes are parallel. [x,y,z] = [1,2,2] + s[0,-1,0] + t[0,0,1] [x,y,z] = [1,0,-3] + s[0,0,1] + t[-1,0,0] thank you ^__^Y
7. ## Calculus

Examine the continuity of f : R2 → R at (0; 0), where for all (x; y) ∈ R2, 1.)f(x; y) := {xy cos(1/x) if x ̸= 0; 0 if x = 0:} 2.)f(x; y) := {1 if x > 0 & 0 < y < x2; 0 otherwise:}
8. ## Calculus

2x -------- (x-2)(x+2) using partial fractions That's supposed to be a division sign of some sort
9. ## calculus

Find the area bounded by the curve y=1/2+2, the x-axis, and the lines x=1 and x=4. a.7 1/2 b.10 2/3 c.16 d.28 1/2
10. ## calculus 2

use the simpsons rule with n=10, arc length y=^3sqaure root x, for 1<=x<6
11. ## Calculus

Find the maximum and minimum product of 2 numbers who sum is 5
12. ## Calculus help

Use the graph of f(t) = 2t + 2 on the interval [–1, 4] to write the function F(x), where f of x equals the integral from 1 to x of f of t dt. F(x) = x2 + 3x F(x) = x2 + 2x – 12 F(x) = x2 + 2x – 3 F(x) = x2 + 4x – 8
13. ## Calculus

Find the maximum area of a rectangle that lies above the x axis and below y=9-x^2
14. ## calculus

How many horizontal tangent lines exit to the curve f(x) = x^cos(x)?
15. ## Calculus

How to integrate dx/(4-5 sin x) using t-substitution method(i.e. taking tan x/2=t)?
16. ## calculus

solution for limit as delta x approaches 0 (1-cos4x/1-cos2x)
17. ## calculus

Find an explicit expression for y' for the curve de fined by 3(x^2 + y^2)^2 = 100xy.
18. ## Calculus

Can some one please explain this problem to me? Find lim x->0 (sin5x/sin7x)
19. ## Differential Calculus

(1) lim x^3 - 125/x5 x^2 - 25 (2)find the inverse of the function f(x)=7x+5
20. ## Calculus

Find the Taylor polynomialof order 5 appoximation to sin(1.5)
21. ## calculus

Please can someone help. I need to use the composite rule to differentiate the function f(x)=(x^2-6x+23)^3/2. Any help would be greatly appreciated.
22. ## Calculus

How do I find the integration of √(cot) / sin^2(x) by using substitution?
23. ## calculus

What is the volume obtained by rotating the graph y=x^2 for 0<y<1 about the oblique axis y=x
24. ## Calculus

If f(x)= (1-cosx)/x and g(x)= 2/x on the interval (0,infinity), how would you identify all vertical asymptotes of f and g?
25. ## calculus

Find the value of the limit.( use L'hospital rule) lim (tanx/x)^(1/x^2) x>0
26. ## calculus

Identify the open intervals) where the function f of F(x)= x√10-x^2 is increasing.
27. ## Calculus AB

Use the table below to evaluate d/dx [f[g(2x)]] at x = 1 x 1 2 3 4 f(x) 6 1 8 2 f '(x) 6 1 8 2 g(x) 1 4 4 3 g '(x) 9 5 5 -4 I don't know how to continue with this question. i know [g(2x)]=8...pretty sure
28. ## Calculus

Find the scalar and vector projections of b onto a. a = 2i - j + 6k, b = j + (1/2)k compab = projab =
29. ## Urgent Calculus Help 2

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

An equation of the line tangent to the graph of (5x - 1)/(3x + 1) at the point where x = 1 is? Any ideas?
31. ## Calculus

For the following function, state the derivative and evaluate f'(4): f(x) = x Please show your work! Thank you!!
32. ## 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.
33. ## Calculus

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

to the nearest metre x=24m and y=6m. Calculate the upper bound for the value of xy
35. ## Calculus

what is the slope of the line tangent to the curve (/x)^2 at point (4,16) * (/x)= the squareroot of x
36. ## calculus 2

r=1- 3Sin theta¸ find the area enclosed by the inner loop
37. ## Calculus

2x -------- (x-2)(x+2) using partial fractions That's supposed to be a division sign of some sort
38. ## calculus

You are using Newton's method to solve x^3-5x-2=0. If your first guess is X1=2, what value will you calculate for the next approximation X2?
39. ## calculus

If f is continuous on [-1, 1] and f(-1) = 4 and f(1) = 3, then there exists a number r such that |r| < 1 and f(r) = π. Can this be true or false? Please and thank you
40. ## Calculus

Find the derivative of 10x^2+4y^2=sqrt(7). Is the answer 20x+8y=0
41. ## Calculus 1

Find constants a and b in the equation f(x)= ax^b/(ln(x)) such that f(1/3)= 1 and the function has a local minimum at x= 1/3
42. ## Calculus

Find the derivative of the function, xy-x-12y-3=0. Is the answer -14,I got this from 1-1-12=0, which solves to -14.
43. ## calculus

evaluate the limit as x approaches positive and negative infinity (x^2+6x+8)/(x+3)^2
44. ## Calculus

Find an equation of the curve that satisfies dy/dx=150yx^14 and whose y-intercept is 6.
45. ## Calculus

Find the equation of the tangent line to the graph of f(x) = −6x ln(x + 10) at x = 0.
46. ## Calculus

prove that the integral of arcsec(x) is equal to xarcsec(x) - ln|x+ sqrt((x^2)-1)
47. ## Calculus (Math 2A)

express the function in the form f * g g(x) = cube-root (x/1+x) i know f(x) has to be something and g(x) has to be something i think that f(x) = x/1+x and g(x) = x^(1/3) but im not sure how to do this....thanks for the help!
48. ## Calculus

I don't understand how to set up the triple integral for #26. LINK: h t t p : / / g o o . g l / 5 k C L
49. ## Calculus

Find the area of the region bounded by: r=7-1sin(theta)
50. ## Calculus

Show that non positive rational number, x, exceeds its cube, x^3 by exactly 1.
51. ## math-calculus

for which of following functions is graphof y = |f(x)| identical to graph of y = f(x)? A. f(x) = 2x B. f(x) = -2x C. f(x) = 2x^2 D. f(x) = -2x^2 i real not get this.
52. ## Calculus

Use logarithmic differentiation to determine the derivative of the function defined by f(x)=x^5(x-3)^9/(x^2+2)^4
53. ## Calculus

How can I show that the function F (x)= the integral from 2x to 5x of 1/ t dt is constant on the interval (0, +∞).
54. ## calculus

Concept of FUNCTION (with atleast two examples) in every day life
55. ## Calculus

Find the area of the unbounded shaded region. Y= 7/ SQRT 7-X
56. ## Calculus

Use integration by parts to evaluate the definite integral. S 12 x/sqrt of x+4 dx 0
57. ## Calculus....

can you show me how to maniplate this using Trig subtitution... integral dx/4+x^2 x is bounded on [-2, 2]
58. ## Calculus

Limit as x approaches 0 of x(1-cosx)/t-sinx. Confused on how to get this answer.
59. ## calculus

find,if any, an equation for a common tangent line to these 2 curves:5x^2;and 5x^2-x+6
60. ## Calculus

f(x)=x^3(x^(4)-8) Find f '(x) by multiplying out before taking the derivative Is the answer x^12+-8+x^12-8x^3 simplified to 2x^12-8x^3+-16
61. ## Calculus

Evaluate the definite integral using the properties of even and odd functions. S 2 (1/2 t^4+3)dt -2
62. ## Calculus

Sketch the regions bounded by the following curves and find their area: y=2x^2 y=-x^3+3x
63. ## calculus

Find the 1st derivative of the function: y = 1/4 sin^2 (2x) So confused...
64. ## Calculus

Find the derivative of the function y=S 10(t)^1/2 sin(t)dt y'=? S=integration symbol b=x^3 a=(x)^1/2
65. ## Calculus

Find the specific solution of the differential equation dy/dx= 4y/x^2 with condition y(-4) = e.
66. ## calculus

Solve lim x->7+ as....sqrt(x-7)^3/(x-7). I found that it equals 0, but I don't know if I did everything right.
67. ## calculus

y=3⋅2^x Find the equation of the line tangent to the graph of y at x=1.5.
68. ## Calculus

Find dy/dx of the function 10x^2+4y^2=sqrt(7). Is the answer 20x+8y=0
69. ## calculus

given h(x) =kx+1, X<1 (k is constant) X^2, x > and equal to 1 A) find value of k such that h(x) is continous at x=1 B) determine if h(x) is differentiable at x=1
70. ## calculus

find the slope of the tangent line at the point P(1,1) on the graph of e^x-y=2x^2-y^2
71. ## Calculus

Find dy / dx by implicit differentiation. 2sin(9x)cos(3y)=3 dy/dx=_____
72. ## Math (Calculus) Integrals

Evaluate the integral using the following values. 8 ∫ x^3 dx = 1020 2 8 ∫ x dx = 30 2 8 ∫ dx = 6 2 2 ∫ x^3 dx = ? 2
73. ## calculus

Use a linear approximation (or differentials) to estimate the given number (2.001)^5
74. ## Calculus

Determine the value(s) of k such that the area of the parallelogram formed by vectors a = (k+1, 1,-2) and b =(k,3,0) is [sqrt(41)]
75. ## calculus

find the absolute maximum and minimum values of f on the given interval f(x)= (x^2-4)/(x^2+4), [-4, 4]
76. ## Calculus

I've been having a hard time with these lately... could someone explain it to me? Find f '(a). f(x) = (3x^2 − 3x + 4)
77. ## calculus

what is the 2nd derivative of: 1-xy = x-y i get (-y-1)/(x-1) for the first the second i know is (-y-1)/(x-1)^2 but i keep getting (0)/(x-1)^2 please show me the steps i should be taking and if possible what i did wrong
78. ## 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
79. ## math-calculus

two numbers differ by three and their quotient is 3/4. the larger number is? i not get how to do this.
80. ## math-calculus

x^2+9xy+20y^2/x^2+5xy (x+4y)(x+5y)/(x))x+5y) i cancel off x+5y's (x+4y)/(x) that be the anser?
81. ## calculus

dy/dt = 2y^(1/2) y(0)= 2 What is Euler's method for computing yk+1 from yk with step size delta t when yo= 10
82. ## calculus

write a power series for e to the 2x and find the interval of convergence
83. ## Calculus II

the gamma function r(x) is defined by r(x)= integral from 0 to infinity of x^n-1(e^-1)dx. find r(1), r(2), r(3)
84. ## calculus

find the general solution x^2-2(e^y)dy/dx = y^3+e(x^2) i am getting the y^3 dx when i do seperation of variables how do i deal with this.
85. ## math-calculus

x-1/x+1 = 2x/15 (15)(x-1) = (2x)(x+1) 2x^2-15x+17 do i put this in quadratic formula? i so confused.
86. ## calculus

Use a linear approximation (or differentials) to estimate the given number (2.001)^5
87. ## integral calculus

FIND THE AREA OF THE REGION BOUNDED BY THE CURVES Y= X^2 + 4X + 3 AND Y= x-1.
88. ## Calculus

Prove that the average of LRAM and RRAM is equal to TAM.
89. ## Calculus

Evaluate the definite integral.∫from 0 to 2 x/√(1+2x²)dx
90. ## calculus

Use the Intermediate Value Theorem to show that there is a root in the equation x^(1/3)=1-x in the interval (0,1).
91. ## Calculus help!

Describe the following surface and give traces where available: 16x^2 + 16y^2 - 9z^2 = 0
92. ## Calculus

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

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

95. ## 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.
96. ## Calculus

Find the area of the region bounded by the graphs of y = x, y = −x + 4, and y = 0. 1 2 4 None of these
97. ## Calculus B

The Antiderivative of: (2x+3)/((x^3)+3x) This one is devinately integration by partial fractions but im not sure what i am doing wrong. PLEASE HELP.
98. ## Calculus Homework!

Find the area bounded by the curve y=x(2-x) and the line x=2y.
99. ## math/calculus

f(x)=the squareroot of (x^2-9) and g(x)=1/x-4 find the domain and range of f(g(x)) anf f(f(x))
100. ## calculus

find the sum of p+m if the function g(x)= p(x^2-m)/(x+2)(x+5)has a horizontal asymptote at y=5 and a hole at x=-2