# Pre- Calculus

21,824 results, page 81

1. ### calculus

Find the area of the region between the parabola 4y = x^2 and the line 3x + 4 y = 4
2. ### Calculus

Evaluate the following limit, if it exists: lim h-->0 ((sqrt9+h)-3/(h)
3. ### Calculus

Find all first partial derivatives: f(x,y)=e^(xy)cosx
4. ### Calculus

Find the values of a , b , and c in the quadratic function p(x)=ax2+bx+c such that p(2)=6, p'(2)=2, p"(2)=3
5. ### Calculus

For what values of x with 0¡Üx¡Ü2¦Ð does the graph of f(x)=x+4sin(x) have a horizontal tangent?
6. ### Calculus

Show that both functions y1=e^(-2x) and y2=xe^(-2x) are solutions to the differential equation y^''+4y^'+4y=0
7. ### Calculus

Find the area of the shaded region bounded by y=7x and y=x(sqrt(22^2-x^2))
8. ### Calculus

Find an equation of the tangent line to the graph of y = e-x2 at the point (2, 1/e4).
9. ### calculus

How many integer values of a are there such that f(x)=x^+ax^2+8ax+25 has no local extrema?
10. ### Calculus

Find the complete solution to the 2nd ODE: 2y''+3y'+y=t^(2)+3sin(t)
11. ### Calculus

Find f (x) by solving the initial value problem. f '(x) = 6x^2 - 10x; f(2) = 5 f(x) =
12. ### Calculus

Find f(x) by solving the initial value problem. f '(x) = 3ex - 4x; f(0) = 10 f(x) =
13. ### Calculus (Limits)

f(x) is a function differentiable at x=1 and f′(1)=1/13. What is the limit of (x^3 - 1)/f(x) - f(1) as x approaches 1?
14. ### calculus (hint?)

f(x) is a twice differentiable function such that f(2x)=f(x+5)+(x−5)^2 What is f''(x)?
15. ### Calculus

Let f(x) = x ^3. The equation of the tangent line to f(x) at x = 5 is y=75x - 250 What is the approximation for 4.6 ^3?
16. ### Calculus

Given that f(x)= x^3 i f x≥0 x i f x<0 which of the following functions is even? I. f(x) II. f(|x|) III. |f(x)|
17. ### calculus

integrating e^1/3dx i got 3e1/3 +c pls am i right
18. ### calculus

to find value of x and discontinous 9x²-3x-2/3x²+13x-4
19. ### Calculus

6/ln[x] find the derivative... im coming up with -6/x*(ln(x))^2 but it isn't accepting the answer what am i doing wrong?
20. ### Calculus

Use integration by parts to evaluate the integral xsqrt(2x+6)dx.
21. ### Calculus

Evaluate the limit. as x approaches infinity, lim sqrt(x^2+6x+3)-x
22. ### Calculus

Use continuity to evaluate. as x approaches 2, lim arctan((2x^2-8)/(3x^2-6x))
23. ### Calculus (integrals)

Find the integral:8x^7+6/(x^8+6x)^2 I got ln(x^8+6x)^2 but apparently that is wrong.
24. ### calculus

i need help with proving five steps of l hospitals rule for (ex^2-1)/x
25. ### Calculus

Consider the function f(x) whose second derivative is f''(x)=5x+2sin(x). If f(0)=3 and f'(0)=3, what is f(3)?
26. ### Fundamental Theorm of Calculus

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

Find the average value of f(x)=7x^{-2} on the interval [1,5]
28. ### 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.
29. ### calculus

Evaluate to four significant digits log x = 5.3027
30. ### calculus

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

Find all the points on the ellipse 3x^2-xy+y^2=64 that lie on the line y=3x
32. ### Calculus HELP!!

6 2 6 Let u = 4 , v = 2 , w = 2 5 3 1 Show that 2u - 3v - w = 0. Use that fact to find x1 and x2 that satisfy the equation 6 2 6 4 2 {x1} = 2 5 3 {x2} 1
33. ### Calculus

Find the critical numbers of the function. h(t) = t3/4 − 5t1/4
34. ### Calculus

write in parametric form the equation of the line that joins (1,-2) and (3,0)
35. ### Calculus

Where does the line through (1,0,1) and (3,−2,5)intersect the plane x+y+z=10? (x, y, z) =________?
36. ### Calculus

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

Use the principles of translating and reflecting to graph the function f(x)=(x-5)^3 +2
38. ### calculus

Find the equation of the tangent line to the ellipse x 2 + 4y 2 = 25 when x = 3 and y < 0. Answer 3x - 8y = 7 3x - 8y = 25 3x + 8y = 7 3x + 8y = 25
39. ### calculus

Find the area of the region under the curve y = 16 e ^{4 x} between x = -1.4 to x =1.4 .
40. ### Calculus

Can someone help me with finding the derivative of this function? y = -( csc x)2 (cos-1(1-x2))
41. ### Calculus Help

In the following x,y and (a) are all variables. Show steps please! Thank you! 1) y^2 = x^2+a^2 2) y^2+ay = x^2+ax+a^2
42. ### Calculus

Find the slope of the tangent line to the ellipse x^2/4 + y^2/16= 1 at the point (x,y)
43. ### calculus

Recall that the volume of a sphere of radius r is V(r) =4\, \pi\, r^3 /3. Find L, the linearisation of V(r) at r=50
44. ### Calculus

Find the polynomial end-behavior asymptote in the graph of f(x)=(2x^3 +6x-1)/(x+2)
45. ### Calculus II

using integration by partial fraction, prove that pi + integral from 0 to 1 of x^4(1-x)^4/1+x^2 = 22/7
46. ### 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)

48. ### calculus help

find y' and y'' for the equation below. Show work please!!! y= (x^3)/((x+1)^2)
49. ### Calculus

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

x(t)=3t^3-40.5t^2+162t find where object is speeding up or slowing down

Find the area of the region. 2y=3sqrtx, y=5 and 2y+2x=5 ty
52. ### calculus help

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

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

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

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

Compute the absolute and relative errors in using c to approximate x. x=e;c=2.68
57. ### Calculus

Given f(x) = csc^4(5x^2-3x+1), find f'(x). Show all work.
58. ### Urgent Calculus Help 2

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

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

use the simpson's rule with n=10 to estimate arc length of y=x^(-1/3), for 1<=x<6
61. ### Calculus-Math

Complete the table. y = f(g(x)) u = g(x) y = f(u) y = (x + 18)^(-1/2) u = ? y=? Use the chain rule.
62. ### Calculus-Math

Find the derivative of 4 sec^7 (πt − 6)?
63. ### calculus

How to find the x and y coordination of all inflection points? f(x) = x^4- 12x^2?
64. ### calculus

Find the derivative of (6x^2+4y^2)/(3x+7y)=3 using implicit and quotients rule. Thank you!
65. ### Calculus

Simplify the expression cot (cos−1(x)). Not sure how to do this.
66. ### calculus

Find the linear approximation of f(x)=\ln x at x=1 and use it to estimate ln 1.12. L(x)= . ? ln 1.12 \approx ?
67. ### Calculus

Use the product rule to find the derivative of the following. k(t)=(t^2-4)^2 k'(t)=
68. ### Calculus

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

find the derivative of the function y=log absolut power 2-x
70. ### Calculus

can you please explain the chain rule in simple terms. thank you
71. ### Calculus

can you show me how to solve an equation using the chain rule
72. ### Calculus

did i use the chain rule correctly? y=(8x^4-5x^2+1)^4 d(f(x)/dx =d/dx ((8x^4-5x^2+1)^4) =4*(8x^4-5x^2+1)^3*d/dx(8x^4-5x^2+1) =4*(8*d/dx(x^4)-5*d/dx(x^2))*(8x^4-5x^2+1)^3 =4*(8*4x^3-5*2x)*(8x^4-5x^2+1)^3 =4*(32x^3-10x)*(8x^4-5x^2+1)^3
73. ### Calculus

Find the general indefinite integral ∫ v(v3+5)2dv
74. ### Calculus

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

Determine the limit as x approaches 1 f(x) if f(x)={3-x, x does not equal 1 and 1, x=1 A. 2 B. 1 C. 3/2 D. DNE E. None of these
76. ### Calculus

Find limit as x approaches -1 (x^2+2x+3)/(x^2+1) A. 0 B. 1 C. Infinity D. DNE E. None of these
77. ### Calculus

Find the limit as x approaches 0 [(sqrt(x+9))-3]/x A. 0 B. 1 C. Infinity D. 1/3 E. None of these
78. ### Calculus

Find limit as x approaches -1 (x^2+2x+3)/(x^2+1) A. 0 B. 1 C. Infinity D. DNE E. None of these
79. ### Calculus

Determine the equation of the normal line y=x^2+5 at the point (2, 9) I got y= 4x+1
80. ### Calculus POwer RUle

If the slope of the curve y=−kx^3+ 3k at x=-2 is 3, then what is the value of k?
81. ### calculus

Please i need help with this. Find the area bounded by the curves y0…5 - 4x = 0, 2x - y - 4 = 0
82. ### Calculus

Integration with trig functions Integral of [(1-sinx)/cos^2x] dx
83. ### Calculus

Calculate the area of the bounded region between the curves y^2=x and 3y = -3y + 9 ?
84. ### Integral Calculus

How to determine the order and degree of this differential equation, (y''')^2-2(y')^6=x-2
85. ### Calculus

For how many values of x will the tangent lines to y=4sinx and y=x^2/2 be parallel? A. 0 B. 1 C. 3 D. 4 E. Infinite
86. ### Calculus

For how many values of x will the tangent lines to y=4sinx and y=x^2/2 be parallel? A. 0 B. 1 C. 3 D. 4 E. Infinite Thanks.
87. ### Calculus

Determine the slope of the tangent to the function f(x)=5e^x - 2e^(2x) at the point with x-coordinate x=1
88. ### CALCULUS

Consider the function f(x)=9x3−4x5. Let F(x) be the antiderivative of f(x) with F(1)=0. Then F(4) =
89. ### Calculus

find the area of the region bounded by the curves y=x^2-1 and y =cos(x)
90. ### Calculus

If 3(a,3,2)-2(3,b,b)=(-3,1,-2) determine a and b. Describe the set spanned by the vectors. I don't know how to answer this
91. ### calculus

Use table of integrals to evaluate the integral of x^4 sinxdx.
92. ### Calculus(URGENT PLS!!!)

Find the integral of (e^cosx)sinx
93. ### Calculus

Solve the following differential equation with initial conditions: y"=e^(-2t) + 10^(4t); y(0)=1, y'(0) = 0
94. ### calculus

find the derivative of the function at the given number F(x)= 1/ √x at 4
95. ### Calculus

Let f : R --> R be an odd function. Explain why, for any positive number a, the integral from -a to a of f(x) = 0.
96. ### Calculus 1

True or false. Explain. The line x=1 is a vertical asymptote of f(x)=(x^2+x-2)/(x^2-1)
97. ### Calculus

Find the integral of x/cos^2(x^2)dx The answer is 1/2 tan (x^2) + C. Where does the 1/2 come from?
98. ### Calculus

Givenƒ(x) = ex, verify that lim h->0 (e^x+h - e^h)/h + e^x and explain how this illustrates that ƒ′(x) = ln e • ƒ(x) = ƒ(x)
99. ### calculus

a particle moves according to the law a=1/t √t. if s=8 when t=1. and s=16 when t=4. find v when t=9.
100. ### calculus

Find the equation of the curve for which y'=3x² and which passes through (1,-1).