# Pre- Calculus

21,892 results, page 93
1. ## calculus

The limit represents the derivative of some function f at some number a. Select an appropriate f(t) and a. lim_(t->1)(t^3+t-2)/(t-1) 1f(t) = t^3, a = 1 f(t) = t^3 + t, a = 1 f(t) = t - 2, a = 1 f(t) = t - 2, a = -1 f(t) = t^3 + t, a = -1 f(t) = t^3, a =
2. ## calculus

find the area of one of the regions bounded by the curves y=sin x and y=cos x
3. ## Calculus

Find the derivative of f. you may simplify before differentiating f(x)= x2-7x+12/x4-8x3+13x2+30x-72
4. ## calculus

Let g(x)=|cos x-1|. The maximum value attained by g on the closed interval [0, 2pi] is for x equal to A) -1 B) 0 C) pi/2 D) 2 E) pi I think its pi/2 but I'm not sure at all.
5. ## Calculus-Newton Method Approximation

1/ 3(x^3) + 1/2(x^2) + 1 = 0, x1 = −3 newtons way to the 4th decimal
6. ## Math-Calculus

Posted question rewritten lim x-> -1 108(x^2+2x)(x+1)^3 ____________________ (x^3+1)^3 (x-1)
7. ## calculus

what is the slope of the tangent line passing through the point (2,3) of the graph of this function? f(x)=x^2+2x-5 A 1 B 2 C 3 D 4 E 6
8. ## Calculus

Find the equation of the line tangent to the given curve with the given slope y=(1/3)x^3+2x^2+5, m=-4 I'm stuck. So far, I have: y'=x^2+4x x^2+4x=-4
9. ## Calculus (Math 2A)

Solve the difference quotient for the given function f(x) = x^3, (f(a+h)-f(a))/h i forgot how to do this problem
10. ## CALCULUS

what is the area in square units of the region under the curve of the function f(x)=x+3, on the interval from x=1 to x=3? 10 12 14 16 18 ?
11. ## business calculus

For the function f(x) = 1/(x2+14x-42) there are two vertical asymptotes. Determine the x-coordinate of each one
12. ## Math/Calculus

How would I integrate the following: (2x^2 + 5)/((x^2+1)(x^2+4))dx I think I would start with making it a sum of two partial fractions.
13. ## Calculus

Find all relative extrema. Use the Second Derivative Test where applicable. f(x)= cosx - x (0,2ð)
14. ## Calculus

What are the x-coordinates of the points of inflection for the graph of f(x)sin^2x on the closed interval [0,pi]?
15. ## Calculus

Find a formula for the derivatives of the function m(x)=1/(x+1) Please help.....Any assistance would be greatly appreciated.
16. ## CALCULUS

Determine the intervals for which the curve r(t)=4sin^3(t)i + 7cos^3(t)j is smooth on [0,2pai]
17. ## calculus

If contains the points (4, 19) and (-3, 5), what is the slope of a line perpendicular to ? Enter your answer as a decimal.
18. ## calculus

find the average value of the function f(x,y)=xe^y over the plane region R is the triangle with vertices (0,0), (1,0) and (1,1)
19. ## calculus

Find the slope of the tangent line to the graph of the function at the given point. g(x) = 3 x + 4, (-4, 1)
20. ## calculus

find equations of the tangent lines to the curve y=x/(x+5) that pass through the point (2,7).
21. ## calculus exam review

write two different vector equations for the plane that contains the points A(6,1,4), B(-3,7,9), C(5,0,3)
22. ## calculus

find the parametric equation of the line that is tangent to the parabola y=x^2 at the point(-2 , 4)
23. ## Calculus

Find the work done by F(x,y,z)=(x^2y)i=(x-z)j+(xyz)k where c=(t)i+(t^2)j+(2)k, 0<t<1. The answer is supposed to be -17/15, but i keep getting -13/10. Any help on the process would be appreciated.
24. ## Calculus

Find the derivative of the function y defined implicitly in terms of x. y = √(xy+ 9)
25. ## CALCULUS

Find the gradient and directional derivative of f at P in the direction of v: f(x,y)=ln(x^2 + y^2 +1)+ e^(2xy) P(0,2) v=5i-12j
26. ## calculus

dont get it write intervals for the function sin(x)/1-cos (x) is continuous on.
27. ## Calculus

Find the integral of x times the square root of (400-100x^2)dx
28. ## Calculus

Find the derivative of the function y defined implicitly in terms of x. y = sqrt(xy + 9) Please help! Thanks! :)
29. ## Calculus

How do you take the derivation of the following function and equate to zero? sqrt of (100t^2-320t+400).
30. ## Calculus

For approximately what values of x can sinx be replaced by x - x^3/6, with an error of magnitude no greater than 8 * 10^-3?
31. ## calculus

find the average value of the function f(x,y)=xe^y over the plane region R is the triangle with vertices (0,0), (1,0) and (1,1)
32. ## calculus

Find an equation of a line that is tangent to y=2sinx and whose slope is a maximum
33. ## Calculus

find the volume of the solid formed by rotating the region enclosed by y=e^(1x+4), y=0, x=0, x=0.9
34. ## calculus

find the volume of the solid bounded above by the surface z=f(x,y) and below by the plane region R f(x,y)= 4-2x-y; R{(x,y)0<x<1;0<y<2
35. ## calculus

plz help show me steps solution evaluate the integral §dx/[(x+1)root(1-x^2)]
36. ## Calculus

The end behavior of f(x)=(2+x^2)/(x^2-36) most closely matches which of the following: y=1 y=-1 y=2 y=0 There is no leading coefficient so I am not sure what the answer is.
37. ## Calculus

Solve the differential and initial value problem: x(dy/dx) + 1 = y^2 y(1)=0 I tried using bernoulli and it didn't quite work.
38. ## calculus

The volume of a right circular cone is given by V=(1/3)[pie]r^2h, where r is the raius and h is the height Find (dV/dt) if r=4,h-5,(dr/dt)=6, and (dh/dt)=-3
39. ## calculus ab

Use a graphing utility to graph the function and visually estimate the linits h(x)= -x^2 + 4x
40. ## Calculus

Find a function f(n) which gives the rightsum approximation for the area under the given curve from x = 3 to x = 9 using n rectangles.
41. ## Calculus

Find any relative max or min points of the given function y=3x^2+12x+17 So far, I have: y'=6x+12=0 2(3x+6)=0 x=-2
42. ## Calculus

Find the slope of the tangent line to the curve (a lemniscate) 2(x^2+y^2)^2 = 25(x^2-y^2) at point (-3,-1).
43. ## CALCULUS

20.) How do I find the zeros of the function algebraically? ex1) f(x)= x^3 -4x^2 -9x +36 ex3) f(x)= 3 +(5/x) ex7) f(x) = (2x^2-9)/ (3-x)
44. ## CALCULUS

two birds are flying along in 3-space. At time t, the first bird is at the point (x,y,z) on the line
45. ## Calculus

Find the indicated absolute extremum as well as all values of x where it occurs on the specified domain f(x)= x^2e^-0.25x ; [3,10]
46. ## calculus

For the given equation, find the slope of the tangent to the curve at the point (-4,2). y^2+8y+x^2+8x-4=0 A. -1.50 B. -0.50 C. -2.00 D. 0.00 E. UNDEFINED
47. ## Math/Calculus

Find the average rate of change on the interval [-6,3] of the function h(x)=x^2-4x+7. A. -7 B. 7 C. 1 D. 13 E. -5
48. ## Calculus 1

Could you please explain how to find the slope using the definition of derivative of the function y=2*sqrt(x)
49. ## Calculus

What is the 4 step process when finding the slope of the tangent line at any given point?
50. ## calculus

f(x)= -7(cos(s^3))(tan(s^2)), find f'(x). I got 21s^2cos(s^3) x 2s(sec^2(s^2)) but it is wrong...
51. ## Calculus

Construct a function f : R 2 ¡æ R such that its saddle points are given by {(n, 2m+1−n)|n ¡ô Z, m ¡ô Z}, where Z is the set of integers.
52. ## calculus

g(t)=2+cos t; [0,pi] Can you help me find the average rate of change of the function over the given interval?
53. ## Calculus

Find al points where tangent lines to: (x^2+y^2)^(3/2) = sqrt(x^2+y^2) + x is either horizontal or vertical.
54. ## Calculus-implicit differentiation

How do I find the normals to the curve xy+ 2x - y = 0 that are parallel to the line 2x + y = 0
55. ## Calculus

Write an expression for y = f(x) by solving the differential equation dy/dx = x√y with the initial condition f(3) = 25. I got y = (x^2/4 + 11/4)^2.
56. ## Calculus - Verify?

Find the slope of the tangent line to the curve (a lemniscate) 2(x^2+y^2)^2 = 25(x^2-y^2) it is at pt (3,1)
57. ## calculus

find tangent line equation to the curve at the given point: y= 7e^x cos(x) P=(0,7)
58. ## calculus

dy/dx=(1+Lnx)y and if y=1 when x=1, then y=? i know i have to find the integral by multiplying dx to the other side and bringing y to left. and i got Ln(y)+ C = x + 1/x + C what do i do next. ln(y)=x+1/x+c e^(ln(y))=e^(x+1/x+c), so y= e^(x+1/x+c) y=
59. ## Calculus

Decide whether to integrate with respect to x or y. Find the area of the region. y=e^2x y=e^6x x=1 I have no idea what to do
60. ## calculus

Use the instantaneous rate of change of f(x) = e^(5x) to find the equation of the tangent line to f(x) at x = 0.
61. ## Calculus

Find the points on the curve y=x^3-4x^2+1 where the tangent is parallel to y+4x=0. y'=3x^2-8x y+4x=3x^2-8x y=3x^2-12x y=3x(x-4) Ya... I need some help The answers are (2, -7) (2/3, -67/27)
62. ## calculus

What is the limit, as x approaches 1, of (sqrt(x) - 1)/(x - 1)? I need to show work, but I know the answer is 3/2, because I confirmed with a TI-89.
63. ## Calculus check

Find the equation of the line tangent to y=tan2x at x=pi/8 A. y-1=sqrt(2)(x-pi/8) B. y-1=1/2(x-pi/8) C. y-1=1/4(x-pi/8) D. y-1=2(x-pi/8) E. y-1=4(x-pi/8) I got A
64. ## Calculus

Determine the coordinates of the point(s) on the graph of y=3x- 1/x at which the slope of the tangent is 7. So the derivative of y=3x- 1/x is y'=3 + 1/x^2 What do I do next?
65. ## Calculus

If y=3x-7, x is greater than 0, what is the minimum product of x^2y? A. -5.646 B. 0 C. 1.556 D. 2.813 E. 4.841
66. ## Calculus

If the price at which x units can be sold is given by the equation p=15-4 ln x, approximate the marginal revenue when x=7.
67. ## Calculus

The velocity v(t)= -t^2 + 6t - 8, find the displacement and distance traveled during the time interval [-1,5]?
68. ## Math Calculus

Find critical points and extreme values on the interval [-1,5]: f(x)=|x^2-4x+3|
69. ## calculus

the equation cosx=x has a solution in what interval?...the answer is given as [0,pi/2] can someone please explain why?? thnks
70. ## Calculus AB

Find the equation of the line tangent to the curve at t=pi/3: a) x=t-sin(t) b) y=1-cos(t)
71. ## Calculus

Find a function of the form f(x)=a+bsqrtx that is tangent to the line 2y-3x=5 at the point (1, 4)
72. ## Calculus I

Using Newton's Method, determine the first approximation to the solution of: e^(4x)= 10-2x starting with x=0 what is x1= ??? P.S. ( the 1 is a subscript )
73. ## AP Calculus

a continuous function f has domain (1,25) and range (3,30). if f'(x) is less than 0 for all x between 1 and 25, what is f(25)? a)1 b)3 c)25 d)30 e)impossible to determine from the information given
74. ## Calculus

First make a substitution and then use integration by parts to evaluate. The integral of (x)(ln(x+3))dx What do you substitute first?
75. ## AP Calculus

Find an equation of the tangent line to the graph of f at the given point. f(x)=27/(x^2+9) (-3,3/2) I got y=x/2+3, but I don't think its right.. please help!
76. ## Calculus

Is the function F(x)= the square root of 1-x^2 continuous at x = 1? Give the reason for your answer.
77. ## calculus

y' = 2y(1/2) , y(0) = 8 The function starts with y0 = 4 ,what is Euler’s method for computing yk+1 from yk with step size ∆t.
78. ## Calculus

Find the dimensions of the rectangle with the most area that will fit above the x-axis and below the graph of y=e^-x^2.
79. ## Calculus 1 Integration Trig Inverse

integral of (4/(x times the square root of (x^2-1)) + (1+x+x^3)/(1+x^2)dx
80. ## Integral Calculus

Find Mx, My, and (x, y) for the lamina of uniform density ρ bounded by y=1/2x ,y>0 x=2
81. ## calculus

Find the volume of the solid obtained by revolving the graph of y=7x*(4-x^2)^(1/2) over [0,2] about the y-axis
82. ## calculus

Find the equations for the lines tangent to the ellipse 4x^2+y^2=72 that are perpendicular to the line x+2y+3=0
83. ## Calculus II

find the distance between the given parallel planes 5x-5y+z=10 and 10x-10y+2z=2. I got 9sqrt51/51
84. ## Calculus 1

Find an equation of the tangent line to the curve y = 6/(1+e^−x)at the point (0,3).
85. ## Calculus

Will someone send me the ti 83 steps for: determine the graph of the equation: 9x^2+25y^2+z^2=225 if one is available.
86. ## Calculus

I have to use integration by parts to integrate tan^-1 (1/x)dx. I'm not sure what to use as u or dv. We were taught to use uv-integral of (vdu) to do this.
87. ## Calculus

The following Summation 1 2 1 2 1 2 ------ x - + ------ x - + ------ x - 1+(2/n) n 1+(4/n) n 1+(6/n) n is a right Riemann sum for this integral ç f(x)dx With subintervals [1,3] can someone help me solve for the inegrand which is f(x).?
88. ## Calculus

Could really use a lot of help here what is the slope of the tangent line to cos(x-y)=xe^x at point (0,3pi/2)
89. ## Calculus

Find the equation of the tangent line to the curve x^(3)+3xy+y^(3)=1 at the point (1,0).
90. ## Calculus

Find the domain, range, and inverse of the function f(x)=arcsin(sqrt(x))
91. ## Calculus

Use differentials (or, equivalently, a linear approximation) to estimate the given number. sqrt100.4
92. ## Calculus

Use L'Hoplital's rule to find the limit. Lim x->0 (3-3cos(x))/(sin(4x))
93. ## Math - Calculus III

Find the double integral of f (x, y) = (x^7)y over the region between the curves y = x^2 and y = x(3 - x).
94. ## CALCULUS-plz!!!!

Find derivative w/ respect to x: y=x^5/(1-x)ã(x^2+2) (hint: there is an easy way and a hard way!)
95. ## Calculus

Express the quadratic function y=-2/3x2-12x-11 in standard form?
96. ## Calculus

I'm not sure what to substitute in this question. Evaluate the integral Square root (tan^-1(x)) / (x^2+1)
97. ## Calculus

Assume v(t) = 6t - 18 on the interval [0, 6]. Find the total distance that the object traveled on [0, 6].