Pre- Calculus

21,911 results, page 100
1. Calculus

Find the x-coordinates of all points on the graph of y = x^3 - 4x^2 + 5x at which the tangent line is parallel to 2y - 10x - 7 = 0
2. Calculus

Which of the following is the general solution of the differential equation dy/dx = 2x/y? y2 = x2 + C y2 = 2x2 + C <- my answer y2 = 4x2 + C x2 − y2 = C
3. Calculus

Use logarithmic differentiation to find the derivative of the following: y=x^x^2 x>0 Please show all steps so I can following for future understanding
4. Calculus

Find the specific solution of the differential equation dy/dx = 4y/x^2 with condition y(−4) = e. y= -1 - 4/x <- my answer y=-1*e^(1/x) y=e^(-4/x) None of these
5. Calculus

Create a function that has a graph with the following features: Two vertical asymptotes: x=1, x=3. One horizontal: y = -1. And x intercepts= -2, 4 how about f(x) = ((x+2)(x-4))/((3-x)(x-1)) ?
6. Calculus

find an equation of the tanegent line to the curve 3xsquared + 5ysquared=8 at the point (1,1)
7. Calculus

Find the relative extrema of the function f(x) = 1/2 x - sinx on the interval (0, 2 pie) please show me how you got this!!
8. Calculus

Find equation of two tangent lines to curve y=x^2 that intersect @ (2,-2). Need exact values.
9. calculus

Consider the function f(x)=12x^5+30x^4–160x^3+5 . f(x) has inflection points at (reading from left to right) x=D , E , and F D= E= F=
10. calculus

Using 4x^2 - 9y^2 = 36 Find y by implicit differentiation and then solve the equation explicitly for y and differentiate to get y' in terms of x.
11. Calculus

Using 4x^2 - 9y^2 = 36 Find y by implicit differentiation and then solve the equation explicitly for y and differentiate to get y' in terms of x.

Find the area lying above the x axis and below the parabolic curve y= 4x -x^2 a.8 b. 8 1/3 c. 10 2/3 d. 16 B or C not sure??
13. calculus

Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it. lim x→0 (e^x − e^−x − 2x)/(x − sin(x))
14. calculus

consider the function; f(x)=x^4-3x^2-1 a) Find all the point where f'(x)=0 b) Use the second derivative test to classify the stationary points?
15. Calculus

f(x)=(y+a) and b=the limit as y aproches 2+f is 1000 figure out a,y, and f I'm lost, but I need to know for our trimester final. I don't even know if it's possible.
16. calculus

Consider the following function. f(x) = (6 − x)e^−x (c) Find the point of inflection. (If an answer does not exist, enter DNE.) (x,y)=( , )
17. Calculus

U substitution on indefinite integral/antiderivative. (t^3+4)^-2 t^2 On this should I use u on the parenthesis and should I put this into a natural log?

19. Calculus

Find the particular solution of the differential equation y'=(5x+21y)/7x satisfying the initial condition y(1)=5.
20. Calculus

I need help with this question still!!! Find the values for a, b, and c such that the graph of y= ax^2 + bx + c has a relative maximum at (3,12) and crosses the y-axis at (0,1). Please Help!!!
21. calculus

Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. x=tcos(t), y=tsin(t); t=π
22. calculus

The table below gives selected values for the function f(x). Use a trapezoidal estimation, with 6 trapezoids to approximate the value of . x 1 1.1 1.2 1.5 1.7 1.9 2.0 f(x) 1 3 4 6 7 8 10
23. calculus

x = sin(θ/2), y= cos(θ/2), −π ≤ θ ≤ π. Eliminate the parameter to find a Cartesian equation of the curve.
24. Calculus

Solve the differential equation dy/dx = √[(x^3)(y)] with initial conditions x = 1, y = 2 so far i got y = (x^5)/25 + c so do i plug in 2 = (1^5)/25 + c 2 - (1/25) = c c = 49/25 = 1.96 is this correct?
25. Calculus

Use washers to find the volume formed by rotating the region enclosed by: y=1.4−2|x−13| and y=0 about the y-axis
26. Calculus

Find the volume of the solid formed when the region bounded by y=3x^2 and y=36-x^2 is revolved about the x-axis.
27. calculus

Given the function g(x)= (3x) / (2+5x^2 ) find its region of increase and decrease. Give open intervals.

Without solving , determine the points of intersection of the line r= (5,-9,3) +k (1,-12,2] and the plane [x,y,z]= (4,-15,-8) + s[1,-3,1] + t[2,3,1], if any exist.
29. calculus

Find the equation of a straight line that passes through a point (1,5) and tangent to curve y = x^3
30. integral calculus

can anyone give me a site that best explain about the topic "work" and "center of moment"... thanks... :)
31. calculus

find a point on the curve x^3 + y^3 =2xy other than the origin at which tangent line is horizontal
32. calculus

Find the exact area of the surface obtained by rotating the given curve about the x-axis. x=t^3, y=t^2, 0 ≤ t ≤ 1
33. Calculus

calculate and simplify f(5+deltat)-f(5) all over delta t the model is f(t) = 7-2t+11t^2 for 3lessthanequal t lessthanequal 11
34. calculus

What angle does the tangent to the curve y(x)=sin^2(x/3)+15sin(x/3) at x=3pi make with the x-axis?
35. Calculus AB/AP

Use the rectangles with the given dimensions to approximate the area of the region in the first quadrant bounded by the graphs of y = 4 – x2 , y = 0, and x = 0. 4 _ 3|_|-. 2|_|-|-. 1|_|-|_|_ |_|_|_|_| 1 2
36. Calculus

Find the general expression of the kth nonzero term in the taylor series f(x) = 3/(1+x), for k= 0, 1, 2,...
37. calculus

let x^2 + 4xy + y^2 + 3 = 0 are there any points on the curve where the tangent is horizontal or vertical? justify your answer.
38. calculus

sketch graph of a function f that is differentiable and that satisfies the following conditions:(1)f'(x)>0, when x<-5 (2)f'(x)<0, when -5<x<1 and when x>1 (3)f'(-5) =0and f'(1)=0 (4)f(-5)=6and f(1)=2.
39. Calculus

Find f'(a). f(x)= (x^2 + 1)/(x - 2) So, [[(a + h)^2 + 1]/[(a + h) - 2]] - [(a^2 + 1)/a - 2] and the whole thing divided by h I tried simplifying it and ended up with [a + h/-2] - (a-2), which is incorrect. I used wolfram alpha and got (a^2 - 4a - 1)/(a -
40. AP Calculus

I previously posted this but had a mistake in it. Determine dy/dx if xsiny=arctany i did (x)(cosy dy/dx)+(1)(siny)=dy/(1+y^2) so far
41. Calculus

Prove via Mathematical Induction that (7*n) - 1 is divisible by 6. I have that it is divisble when n=1, but not n=2 and so on. How should I write the inductive proofs?
42. calculus

Find Mx, My, and (x, y) for the laminas of uniform density Ï bounded by the graphs of the equations. (Use rho for Ï as necessary.) y =1/5 y = 0 x = 4
43. Math-Calculus

Question Details: Suppose f(3)=2, f '(3)=1/2, and f '(x)> 0 and f "(x) < 0 for all x. (a) Sketch a possible graph of f (b) how many solutions does the equation f(x)=0 have? Why? (c) Is it possible that f '(2) = 1/3? Why?
44. calculus

Find the complex zeros of the polynomial function. F(x)=5x^4-16x^3-22x^2+200x-39
45. Calculus

Use implicit differentiation to find the slope of the tangent line to the curve 2(x^2) + 2xy + 2(y^3)= -18
46. Calculus I

lim x→ ∞ of e^(−x) sin√x A little lost. Help would be appreciated.
47. calculus

Use iterated integral to find the area enclosed by r=2sin2(theta). How do i graph this?
48. Calculus - fundamental theorems

d/dx integral e^t^2 dt from 1 to x^3 Please help. I think I'm supposed to use substitution for the x^3 and then apply the chain rule but I'm not sure how to do that.
49. Calculus

(y/(x+9y))= (x^2)-7 at the point (1, -6/55) Use implicit differentiation to find the slope of the tangent line to the curve
50. calculus II

Find the length of the entire perimeter of the region inside r = 11 sin (theta) but outside r = 2
51. Calculus

Messed this up on my last question. Given the table below for selected values of f(x), use 6 trapezoids to estimate the value of ∫f(x)dx where a=1 b=10 x 1 3 4 6 7 9 10 f(x) 4 8 6 10 10 12 16
52. calculus

write the equation (in slope intercept form) of the line perpendiculaer to y=-X/2+1 and tangent to g(x)=3X^5+2X-1
53. calculus

describe in your own words how you would determine the instaneous rate of changeof a function using the different methods

Solve for t. (Round your answer to two decimal places. (2 − (2.479/35))^7t= 29
55. Calculus

Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it. lim (tan(7x))^x x~>0

Find the range of the function F(x)= definite integral from [-6,x] of sqrt(36-t^2)dt. [0, 36π] [0, 18π]*** [-6, 6] [-6, 0]
57. calculus

Find the exact area of the surface obtained by rotating the curve about the x-axis. y=((x^3)/4)+(1/3X), 1/2≤X≤1
58. calculus

need some help im doin antiderivatives it has (2-x^2)^4xdx i understand how to do it for the most part but i come up with 1/5(2-x^2)^5+c the book has a answer of -1/10(2-x^2)^5+c how what am i doing wrong
59. calculus

What is the distance from the point P(x,y,z)to the z axis? Explain your answer by graphing. can anyone explian it to me plezzz
60. Calculus Help

A solid generated by rotating about the x-axis the region under the curve of f(x) from x=0 to x=b, is b^2 FOR ALL b>0. Find the function f.
61. Calculus-Derivatives

How is 6#sin(#x-1)/cos^3(#x-1) the derivative of f(x)= 3sec^2(#x-1)? #= Pi (I coulnd't find the symbol...sorry.)
62. calculus

Find the area of the region in the first quadrant enclosed by the coordinate axes and graph of x^3+y^3=1.
63. calculus

Find the number c if the line y=x is to be tangent to the graph of f(x)=x^4+c. what are the coordinates of the points of tangency?
64. Calculus 1

find the area of the largest posible isosceles triangle with 2 sides equal to 6. thanks
65. calculus

explain in your own words the process used to conclude that the derivative of a cubic function is a quadratic one
66. calculus

find the limit x-->inf (x^2+x)^1/2-(x^2-x)^1/2 so I know I multiply by the conjugate 2x/(x^2+x)^1/2+(x^2-x)^1/2 then I don't know where to finish problem
67. Calculus

If f(x)=sin(2x), find f"(x) A. 2cos(2x) B. -4sin(2x) C. -2sin(2x) D. -4sinx E. None of these Is it B from using chain rules?

Use the four step process to find the slope of the tangent line to the graph at any point: f(x) = -1/2(x^2)
69. Math - Calculus

Integration of (sinx + cosx)^2 from 0 to pi/2. I get pi/2 + 1 as my final answer... wondering if that's correct?
70. Calculus

Piecewise function x if −2≤x≤0; x^2 if −2<x<0; 8-x. If if −2≤x≤3; (d) Write down an analytic formula for f^{-1}, and state its domain and range.
71. Calculus

Find the largest volume V of the circular cone that can be inscribed in a sphere of radius = 10 cm
72. Calculus

Find an equation of the tangent line to the graph of f(x)=xsinx when x=0. A. y=0 B. f'(x)=0 C. y=xcosx+sinx D. y=x E. None of these
73. calculus PLZ HELP!!

find the equation for the line tangent to the curve at the given point. (x^2)(y^2)-2xy+x=1 at (2, 1/2)
74. calculus

determine the point of intersection of the tangents at the points of inflection to the curve f(x)= x^4 – 24x^2 – 2
75. Calculus

Find the volume of the solid formed by rotating the region enclosed by y=e^(2x)+3 y=0, x=0, x=0.9 about the x-axis.
76. Math(module 4 Calculus)

(graphing calclator)give a four decimal approximation for the number 10^4C(25,5)/7!P(30,4)
77. Math(module 4 Calculus)

(Graphing Calculator)Sketch the graph of the function f(x)= 2x^3-7x^2-27x-18/x^2+5
78. Calculus 3

Let G be the region in the first octant that is inside both the cylinders x^2+y^2=1 and y^2+z^2=1. Use a triple integral to evaluate the volume of G.
79. Calculus

I am trying to solve the following L'hopital's limits question below: lim x -> 0 from the positive direction of ( 5^(sin(x)) - 1 )/ (x)
80. Calculus

Revolve the region bounded by y=x and y=x^2 about the y axis. In cubic units, the resulting volume is?
81. calculus

Evaluate the limits without using a calculator. Justify all steps in the solutions. lim x-->0 x^7cos(3/x)
82. calculus

the lemniscate revolves about a tangent at the pole find sufaces of the solid generated?
83. Calculus

Find the area of the region bounded by the curves y=12-x^2 and y=x^2-6. Hint:The answer should be a whole number.
84. calculus

Find the discontinuities of the given function. Classify them as a point discontinuity or a jump discontunuity. g(x)= x, x<-3 5x/(x^2-4x), x>= -3
85. calculus

Find the center of mass of the region bounded by the curve y = x3 - 4x2 +3x ; the x-axis ; x = 0 ; x = 1
86. calculus(QUICK QQUESTION!!)

if f(t) were continious on the interval [-2,1] but youo were only given the function for t=-2,-3/2,-1,-1/2 ..,3/2 and 2, explain how would you apporximate f'(1)
87. calculus

f(x)=3-5x , (-1,8) find the slope of the tangent line to the graph of the function at the given point how do you figure this out?
88. calculus

find the exact arc length of the curve: y=0.5(e^x + e^-x) for 0 is less than or equal to x and x is less than or equals to ln2.
89. Calculus

The region between the graphs of x=y^2 and x=4y is rotated around the line y=4. The volume of the resulting solid is how so i solve?
90. calculus

solve the differential equation. assume a, b and k are non zero constants. dR/dt = kR i don't understand how to do these problems.
91. calculus help

integrate cos^10xdx.. .plz show working i really wanna learn these thanks anyway
92. Calculus

The end behavior of f(x)=(2+x^2)/(x^2-36) most closely matches which of the following: y=1 y=-18 y=2 y=0 I still don't get this based on steve's answer will someone please help?
93. calculus

Find the smallest possible area of an isosceles triangle that is circumscribed about a circle of radius r
94. Calculus

find lim (2x+1+cos2x/22) x->0 Give one sequence starting at x=0.1 to support your claim.
95. Calculus

Find the volume of the solid obtained by rotating the region bounded by y= x^2, y=0, and x=3 about the x-axis.
96. repost Calculus

the length of the curve of intersection of the cylinder (4x^2) + y^2 = 4 and the plane x + y + z = 2 I'm so lost. Any help is appreciated!
97. Calculus

Find the volume of the solid obtained by rotating the region bounded by y= x^(1/3), and y= x about the line y=1
98. Calculus

The Riemann sum s for f(x)=4x^2, 0<=x<=1, taking the sample points to be the right endpoints is given by s=4n^2+6n+2/3n^2. True or False?
99. calculus

determine if this converges and methods used to find its covergence or divergence. The series as n = 1 to infinity of [(2n+3)/(3n+2)]^n
100. calculus

find the dimensions of the rectangle of maximum area that can be inscribed inside the ellipse (x/4)^2+(y/3)^2 = 1