# Pre- Calculus

21,911 results, page 98
1. ## calculus help

y=cosxcosy-sinxsiny/sinxcosy+cosxsiny find dy/dx plz show me working
2. ## calculus

Find the volume of the solid obtained by rotating the region bounded by y=5x+25 and y=0 about the y-axis.
3. ## calculus

find the area enclosed by the given curves. y=squareroot of x y=x/2 x=9 * i just graph it but do not know how to set it up the equation or anything.
4. ## Calculus

Find the equation of the line tangent to the function f(x)= square root of (x^3 + 4x) through the point (2,4)
5. ## Calculus

Express the area of the region in the xy-plane enclosed by the curve ((x^(2))/(9))+((y^(2))/(4))=1 in terms of an integral.
6. ## Calculus

Use the alternate definition, lim x->a f(x)-f(a)/x-a, to determine the instantaneous rate of change of f(x)= 1/x at the point (1,1/5) a)1/5 b)-1/5 c)1/25 d)-1/25
7. ## Calculus

How do you simplify: 5*e^(-10x) - 3*e^(-20x) = 2 I'm not sure if I can take natural log of both sides to bring down the exponents.
8. ## calculus

Compute the limit of the partial sums to determine whether the series converges or diverges. 1)6 + 4 - 4 + 4 - 4 + 4 - 4 +...

1. What is the maximum integer n such that 3^n is a factor of the product of all the odd inegers between 1 and 200?
10. ## Calculus

Solve the differential equation by using Laplace transforms. Find the particular solution that satisfies them of: y''+2y'+y =4e^(-t)
11. ## Calculus I

lim x→ ∞ of e^(−x) sin√x A little lost. Help would be appreciated.
12. ## 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?
13. ## calculus

find the area of a rectangle bounded by the axes and one of its corner is a point in a curve y=1/x.
14. ## calculus

use a sign chart to solve inequality. Express answers in interval notation. x^2+6<2x
15. ## 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
16. ## Calculus

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

Using the definition of derivative state the function, f(x) and the value of a for lim as h->0 of (square root of (121+h) -11)/h
18. ## 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!!
19. ## Calculus-Math

f(x) = (1/2)x ln(x^6) (−1, 0) (a) Find an equation of the tangent line to the graph of f at the given point. y=
20. ## 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.
21. ## Calculus

Let f for all Real numbers, be an odd function. Explain why, for any positive number a, the integral from -a to a of f(x) = 0.
22. ## Calculus

Determine the work done by the force F = [1, 4], in newtons, for an object moving along the vector d = [6, 3], in meters.
23. ## math

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(x) = e^(3t^2) − 3t dt from 4 to x
24. ## calculus

In the space below, provide the smaller of the two positive integers that add to 40 and have the largest possible product
25. ## calculus need help

If 3ay^2=x(x-a)^2 with a>0, prove that the radius of curvature at the point (3a, 2a) is 50a/3. Help with working plz
26. ## calculus

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

okay i need to find the derivative of f(x)=cosπ(x^2) and if you could show steps it would be GREATLY appreciated. thank you so much!
28. ## calculus

Find the value or values of c that satisfy the equation f(b)-f(a)/b-a = f'(c) in the conclusion of the mean value theorem for the given function and interval f(x)= x^(2/3) , [0,1]
29. ## Calculus

State the cartesian equations of two lines that make angle of 60 degrees with the line r=(1,3)+s(1,1)
30. ## calculus

Use the Trapezoidal Rule to approximate ¡Ò8 4 ln(x2+5) dx using n=3. Round your answer to the fourth decimal place.
31. ## calculus

find the area of y=x sqrt(x^2+16), bound by the x-axis and the vertical line x=3 I got 22.5 is that correct?
32. ## Calculus

Describe the solid whose volume is represented by the following definite integrals. The integral of 2pi(x-1)e^x from 2 to 7.
33. ## Calculus (check my work)

Find the marginal revenue at x=10 using the equation R(x)=-x^2+80x Is the answer 60?
34. ## grade 12 calculus and vectors

Determine the average rate of change form x = 1 to x = 4 for each function. a) y= x b) y=x^2 c) y=x^3 d) y=7
35. ## Calculus

Find the volume of the solid formed when the area bounded by x^2-y^2=9, y=x+5, and the x axis is rotated about x=1.
36. ## Calculus

Use Simpson's Rule with n = 10 to estimate the arc length of the curve. y = tan x, 0 < x < π/9
37. ## Calculus

The volume of the 3-dimensional structure formed by rotating the circle x^2 + (y-5)^2 = 1 around the x-axis can be expressed as V = a\pi^2. What is the value of a?
38. ## 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.
39. ## Calculus

The volume of the 3-dimensional structure formed by rotating the circle x^2 + (y-5)^2 = 1 around the x-axis can be expressed as V = a\pi^2. What is the value of a?
40. ## 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.
41. ## Calculus

y=sqrt(x)^1/x. Find dy/dx That is to the power of 1/x So to start this do I need to take Ln on both sides and then use a logarithm property? Ln(y)=lnx^1/2x?
42. ## Calculus

Consider the function x^2+x-4 Estimate the area between the graph and the x-axis between x=2 and x=4 using four rectangles and right end points.
43. ## math calculus 3

find a formula for a function g( x,y,z) whose level surfaces are planes parallel to z=3x-2y+7
44. ## CALCULUS-plz help!

For the curve r = 2 sin 3(theta): Find the arc length of one petal
45. ## CALCULUS-plz help!

For the curve r = 2 sin 3(theta): Find the arc length of one petal
46. ## calculus

Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem. y' = 5x + y^2, y(0)=-1.
47. ## Calculus 2

The question is: n=0 E to infinity 4+sin(n)/3^n Does it converge or diverge? i'm doing this hw problem and I believe it converges according to other example? Is this the case?
48. ## calculus

find a vector equation of the line, which passes through the point (1,3,11) and is perpendicular to the yz-plane
49. ## 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.
50. ## 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
51. ## 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.

Q. Find the minimum value of Q=x^2y subject to the constraint 2x^2+4xy=294. Its the derivative method.
53. ## Calculus

Q. Find the minimum value of Q=x^2y subject to the constraint 2x^2+4xy=294. Its the derivative method.
54. ## Calculus, Limits

Find the limit. lim t → ∞ (sqrt t + t^2)/(6t − t^2)
55. ## 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.
56. ## calculus

explain in your own words the process used to conclude that the derivative of a cubic function is a quadratic one
57. ## calculus 2

Use euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem y'= -3x+y^2, y(0)=1
58. ## calculus

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

write and row reduce the augmented matrix to find the general solution: 2x - z = 2 6x + 5y + 3z = 7 2x - y = 4
60. ## Calculus

write and row reduce the augmented matrix to find the general solution: x - 2y + 13 = 0 y - 4x = 17
61. ## Calculus

Determine the linear approximation of 21/2. Express your answer as a reduced fraction in the form a/b.
62. ## 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?
63. ## 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
64. ## Calculus

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

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

Find the area of the region bounded by the graph of y^3=x^3 and the chord joining the points (-1, 1) and (8,
67. ## calculus

Find the area of the region bounded by the graph of y^3=x^3 and the chord joining the points (-1, 1) and (8,4)
68. ## calculus

Find the interval [a, b] on which the function f(x) = 2 x3+3 x2−12 x+3 is decreasing. Enter your answer as: [a, b] for some constants a, b.
69. ## calculus help

integrate cos^10xdx.. .plz show working i really wanna learn these thanks anyway
70. ## 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
71. ## calculus 2

Use euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem y'= -3x+y^2, y(0)=1
72. ## Calculus

If f is an exponential function of the form f(x)=C times a^x with growth factor 5 and f(5)=14. What is f(6)? I know f(6) is 70 but how do you set up the equation to get 70?
73. ## calculus

find 3 positive real numbers whose sum is 500 and whose product is as large as possible.
74. ## 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
75. ## Calculus Help and Check

Find dy/dx by implicit differentiation. x^5(x + y) = y^2(9x − y) this is what i've got so far but I don't think it is the right answer. y'= 9y^2-6x^5-5x^3y/x^5+9y^2-18xy
76. ## multivariable calculus

show that a=!0 , the equation p=2asin0cos0 describes the sphere centered(a,0,0) at radius|a|
77. ## Calculus

f(x) and g(x) are a differentiable function for all reals and h(x) = g[f(2x)]. The table below gives selected values for f(x), g(x), f '(x), and g '(x). Find the value of h '(1). (4 points) x 1 2 3 4 5 6 f(x) 0 3 2 1 2 0 g(x) 1 3 2 6 5 0 f '(x) 3 2 1 4 0 2
78. ## calculus 2

Sketch the region enclosed by the given curves. Find its area. y=7cos pi x, y=12x^2-3
79. ## calculus

the area of the first quadrant bounded by the y-axis, the line y=4-x, and the graph of y=x-cosx is approximately
80. ## calculus

the area of the first quadrant bounded by the y-axis, the line y=4-x, and the graph of y=x-cosx is approximately
81. ## Calculus - #5

If h(x) is equal to (x^2-4)/(x+2)when x ≠ –2, and h(x) is continuous for all real numbers, then what is the value of h(–2)? 0 –2 –4 2 This is impossible. There is an infinite discontinuity at x = –2.
82. ## Calculus

Which of the following functions grows the fastest as x goes to infinity? 3^x ln(x) e^4x x^10 I put e^4x but I thought that 3^x might have been it too. I know for sure that it is not ln(x) and x^10 because those grow much slower.
83. ## Calculus

Even after looking up how to do this and reading about it I still don't know how to find the slope of curve or the deritives . Please help solve these problems. 1. Y =x^3 p(-1, -1) 2. Y = x^4 /2 p(-1 , 1/2) 3. Y= 8x^4 -7x^2 +5x + 6 p(-1,2)
84. ## calculus

Find the intervals on the x-axis on which the function f(x) is increasing and those which it is decreasing, where f(x) = (x)/(x^2+1) I differentiated and got f'(x)=(x^2+1) -(x)(2x) all over (x^2+1)^2 But I don't know what to do now...
85. ## calculus anti-derivation

Given that the graph of f(x) passes through the point (2,5) and that the slope of its tangent line at (x, f(x))is 3x+5, what is f(3) ?
86. ## Calculus

Find the elasticity of the demand function: pq = 42 p=\$2 My professor went through this lesson really fast and I would appreciate anyone's help in explaining it. Thank You
87. ## 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
88. ## calculus

Find an equation of the tangent line to the curve at the given point. y = sec x, (π/3, 2)
89. ## Calculus AB

One of the equal angles of an isosceles triangle is 55 degrees. If the base is 20 cm, what is the perimeter and the area?
90. ## Calculus

Find the sum of the convergent series. Sigma (lower n = 0; upper infinity) 8*(4/5)^n
91. ## Calculus

Find the volume of the solid obtained by rotating the region bounded by y=8x+24, y=0 about the y-axis.
92. ## calculus

Evaluate ∬R 1/sqrt(x^2+y^2) dx dy, where R is the region bounded by y≥0 and x^2−x+y^2≤0.

94. ## Calculus

How do you integrate 2x^5 • e^x^2 ? I would say that this cannot be evaluated because the answer is more complicated than the original problem. Am I correct? Or is it doable?
95. ## calculus

determine the cubic function with 1 point of inflection and no relative minima or maxima.
96. ## Calculus

Find equation of two tangent lines to curve y=x^2 that intersect @ (2,-2). Need exact values.
97. ## Math Calculus 1

Have mercy! Find the volume of the solid obtained by rotating y=3+2x-x^2, x+y=3 about the y-axis.
98. ## calculus

How many positive integers a (<1000) are there such that the function f(x)=x^4−76/3x^3+2ax^2 has no local maxima?
99. ## Calculus Help

use logarithmic diff. to find the derivative of the function. Show steps please! so I can see how it is done. Thank you so much! y=(e^(-x)cos^(2)(x))/(x^(2)+x+1)
100. ## Calculus-concavity and graphing

(2x+1)/(8x+1) f is increasing for x: f is decreasing for x: find local max/min: