# Pre- Calculus

21,894 results, page 77
1. ## calculus

what is the derivative of log3(x+X^2) log with base 3 i cant figure it out
2. ## calculus

Find the point of discontinuing of the given function: 2 Marks f (x) = 3x + 1 X2-7x+12
3. ## Math (Calculus)

Find the derivative of (ln(tan(x))/3pi
4. ## AP Calculus

2) Given the table below for selected values of f(x), use 6 trapezoids to estimate the value of (10)∫(1) f(x)dx x 1 3 4 6 7 9 10 f(x) 4 8 6 10 10 12 16
5. ## Calculus

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

Lim (1+(a/x))^(bx) x->infinity I'm having a lot of trouble with this limit.
7. ## calculus

Describe the interval(s)on which the function f(x)=(x-11/x^2-121) is continuous.
8. ## calculus

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

For what values of a and b that make the function f continuous everywhere. f(x)={(x^2-4)/(x-2) if x<2 ax^2-bx-18 if 2<x<3 10x-a+b if x>3
10. ## Calculus

Find the distance from the point to the given plane. (1,−5,9), 3x+2y+6z=5
11. ## 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
12. ## calculus

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

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

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

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

Find f'(x): f(x)=3(2x^25x+1) I am not sure if the 5x is multiplied to the 2x^2 (I got f'(x)=90x^2) or there is a typo.
17. ## calculus

Find the area S of the regions y= square root (x) =x/3 x=25
18. ## Calculus

proof that the limit as x approaches 2 of x to the 4th equals 16
19. ## Calculus

Find constants a and b in the function ax^b/ln(x) such that f(1/5)=1 and there is a local min at x=1/5
20. ## calculus

using 5 rectangles what is the area under a curve using the function f(x)=3x+4 with boundries at [0,2]
21. ## calculus

using 5 rectangles what is the area under a curve using the function f(x)=x with boundries at [-2,3]
22. ## Calculus

How would I integrate (4dt)/(sqrt(15-2t-t^2)) That thing has me stumped.
23. ## Calculus

Determine whether the given orderd pair is a solution of the system ( -2, 1) X/3
24. ## Calculus

Use a tangent line approximation at x=0 to estimate the value of sin(-0.1). I got 0.1
25. ## Calculus

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

Using logarithmic differentiation find the derivative of f(x)=2x/x. I can't seem to figure this out.
27. ## Calculus

How would I integrate (4dt)/(sqrt(15-2t-t^2)) That thing has me stumped.
28. ## calculus

using 5 rectangles what is the area under a curve using the function f(x)=3x+4 with boundries at [0,2]
29. ## calculus

For what values of x does the graph of f(x)=x+2sinx have a horizontal tangent?
30. ## calculus

Find the area S of the regions y= square root (x) =x/3 x=25
31. ## Calculus

definite Integrals (using fundamental Theorem) Evaluate from -1 to 2(x^2 - 4x)dx
32. ## differential calculus

find the implicit function of x^3+3^y=3xy
33. ## Calculus

Find the Critical Numbers? 1.) f(x) = 2x^3 + 3x^2 + 36x x=? 2.) g(t) = |5t − 4| t=?
34. ## calculus

If y = f(x) = x^(p/q) then y^p = x^p show through implicit differentiation that d/dx[x^(p/q)] = (p/q)x^[p/q] Not sure how to tackle this problem.
35. ## Calculus

Show that the sum of the series ∑n(p^n) from n=1 to infinity (where 0<p<1) is S=p/(1-p)^2
36. ## Calculus

Find the total area bounded by the curves y = x^3 and y = x^5 .
37. ## calculus

what happens when Limit as x approaches infinity A) (sqrt(9+10x^2))/(7+9x)
38. ## Calculus

Find the radius of convergence of the series from n=0 to infinity of ((9x-4)^(2n+1))/(n^(3/2)). I think it is 5/9.
39. ## calculus 2

find the definite integral for 3x+pi for the fraction interval pi over 3 and pi over 6
40. ## calculus

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

is there a number a such that the lim x->2 6x^2+ax+a+57/x^+x-6 exists? if so find the value of a and the limit.
42. ## CALCULUS

How do I determine whether the function is even, odd, or neither. How do I describe the symmetry? ex 1) f(t)= t&2 +2t -3
43. ## Calculus

Find the critical points of f(x) = 0.05x + 25 + (180/x)
44. ## calculus

Four out of five days were used to create a problem, how many day will it take to solve it?
45. ## Calculus 1

Find the exact value of each expression. (a) cot^-1(sqrt(3))
46. ## Calculus 1

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

differentiate: y=sin^2(x)- cos^2(x) I have this: y'= 2cosx + 2sinx What do i do next??
48. ## Calculus

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

Find ther derivative of the functions. a. f(x)=(4x-x^2)^100 b. f(x)=(1+2x+x^3)^1/4
50. ## Calculus-Antiderivative

Solve the following initial value problem: dr/dt=7cos(pi(t)), r(1/4)=14 r(t)=?
51. ## Calculus (integrals)

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

Show that the limit as h approaches 0 of (e^h-1 ) all over h = ln e = 1 using at least two numerical examples.
53. ## calculus

what is the maximum distance between f and g when f(x)=1/2x^2 and g(x)=1/16x^4-1/2x^2 on closed interval [0,4]
54. ## Calculus

Evaluate using long division. The integral of x/6x-5 dx How do I divide this?
55. ## Calculus Test Question!!!!!

Find the derivative if y=sec^-1 (x+3) Please any help.
56. ## 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.
57. ## Calculus

Determine the values of x for which the function is continuous: f(x)= 10x^2-10
58. ## calculus

Find all solutions in the interval [0,2π) sin3x−sinx=0
59. ## calculus

calculate the indefinite integral (cosx)/(sin^3x)
60. ## Calculus

find tha value of f(x)=x3 where f(x+h)-f(x)/h so far I got 3x2+3hx+h2/h and got stuck from here.
61. ## calculus

Find an equation of the tangent line to the curve at (8,0). y=ln(x^2 -8x +1)
62. ## per- calculus

Parrallel to the line 4x+3y=3; containing the points (6,0) a)3x-4y=-24 b)4x+3y=24 c)4x+3y=18 d)3x-4y=18 show all work
63. ## Calculus

If ∑ n=0 to inf of 3x^n/n! is a Taylor series that converges to f(x) for all real x, what is the value of f ''(0)?
64. ## Calculus

limit (x^2+y^2)/(x+y)^2 as (x,y)->(0,0) I don't know how to prove it doesn't exist. Please help!
65. ## 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.
66. ## Calculus Test Question!!!!!

Find the derivative if y=x^1+sqrt2
67. ## Calculus

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

find f(3) and f'(3), assuming that the tangent line to y=f(x) at a=3 has the equation y=5x+2.
69. ## Calculus

Find the area under the curve y=5(cosx) and above y=5(sinx) for 0<x<pi
70. ## calculus

assume x and y are functions of t. Evaluate dy/dt for 2xy--4x/3y^3=48, with conditions dx/dt=-6,x=3, y=-2
71. ## Calculus!!!

the derivative of cot^3sqrtx Do you use prduct rule, if so what is your u,v, dv, or du.
72. ## Calculus

How would I use the chain rule here for x^2+y^2=z^2 but still have my answer in equation form?
73. ## Calculus

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

Let f(x)=x^3+3x and g(x=5x^2-x Determine the area of the region enclosed by the graphs of f and g.
75. ## 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
76. ## Calculus

equation of tangent line of the function sqrt (3x+5) where x=10
77. ## Calculus

Find an equation for the tangent and normal to the curve x^2 + y^2 = 9 at x=1
78. ## Calculus

f(x) = sqrt(x+1) a=3 change of x =.8 to estimate f(3.8)-f(3) use linear approximation
79. ## calculus

find the minimum and maximum points of the curve y=x^4-4x^3+4x^2
80. ## calculus urgent

If you are given a graph of a function, how do you draw the derivative?
81. ## calculus

Find the derivative d/dx of the integral from x to a of cos(sin(t)) dt
82. ## Calculus help me please!

Find the value of k so that f(x)= {3x^2+kx+4 if x<0 and 2sqrt(x+4) if x >or equal to 0} is differentiable at x=0 can someone please provide help!!!
83. ## Calculus

find the horizontal tangents of the curve and show how. y=x^3-2x^2+x+1
84. ## Fundamental Theorm of Calculus

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

Suppose f(pi/3) = 3 and f '(pi/3) = −7, and let g(x) = f(x) sin x and h(x) = (cos x)/f(x). Find the following. a. g'(pi/3) b. h'(pi/3)
86. ## calculus

integrate ((x^3/6)+(1/(2x)))*squareroot of 1+(x^4/4)+(1/4x^2)-1/2..plz help me...tnx in advance!
87. ## calculus 1

how do i find all vertical and horizontal asymptotes for the function y= 3x^2-8x+25/x^2+7x-18
88. ## Fundamental Theorm of Calculus

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

Find the average value of the function on the given interval. f(x)=6x lnx; [1,e^2]
90. ## Calculus

What is the limit as t→∞ of L(t)? L(t) = 34 - 32e^(-0.0719t) Thank you so much!
91. ## Calculus

Find the derivative of the function y=x2 + 2x + 1/ square root of x2 + 2x -1
92. ## calculus

find y' by implicit differentiation: 5cos(x)*sin(y)=13
93. ## Calculus

Find all points on the curve here the slope is 1 y = x^4 - 31x + 11
94. ## calculus

find the tangent to the ellipse £¨x^2/4)+(y^2/4£©=1 at the point (1,rad(3)).
95. ## Calculus

4) f(x)= { 3x^2 x< and equal 1 { ax+ b x > 1 What is the relation between a and b if the function is continuous for allof x.
96. ## Calculus

ã6(2ã6 - ã5) How do you get 12-ã30? I keep getting a way different answer:\ Btw not sure if the radicals will show up.
97. ## calculus

this is the last problem on my homework and I JUST CANT GET THE RIGHT ANSWER!! Help. :/ limit as x -> -infinity of: (1-(3/x))^2x
98. ## calculus

find the area enclosed between the x-axis and the curve, if y=x^3+2x^2+x+1 between x=-1 and x=2
99. ## Calculus

q=(1000/p+1)^2 - 1 find q' I will be happy to critique your thinking.
100. ## calculus

Find the points of intersection of the curves y=2sin(x-3) and y=-4x^2 + 2