# Pre- Calculus

21,837 results, page 98

1. ### 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.
2. ### Calculus

f(x)=4sinx/1+cosx find f'(x) this is what i got and i dunno what i did to get it wrong (4cos(x)+ 4cosx^2-4sin(x)^2)/cosx62
3. ### Calculus

What is the volume of the region enclosed by the planes x+z = 3, y=x, y=0, z=0, and the cylinder x²+y²=1? Is the answer 5 because I keep on getting different answers for this?
4. ### Calculus

Find the derivative: h(x)=7x/sqrt(5-2x) Using the chain rule...I figured out my previous post.
5. ### calculus

Evaluate the following limit: lim x --> negative infinity 9 square root over x^2-1 divided by x + 4
6. ### integral calculus

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

find the derivative of y with respect to the appropriate variable. y=sin^-1ã2t ã =radical
8. ### 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
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

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

How do I evaluate this integral: x^9cos(x^5)dx Hint: First make a substitution and then use integration by parts.
12. ### calculus

Consider the function f(x) whose second derivative is f(x)=9x+6sin(x). If f(0)=4 and f(0)=3, what is f(x)? Please do not include the constant (+C) in your answer.
13. ### Calculus

I am having great difficulty with this any help would be appreciated. Write this expression in the form e^kx for a suitable constant k.? (e^4x * e^6x)^3/5, 1/e-2^x
14. ### calculus

Find the lim x->infinite (x/[3x+5]) where [] denotes the greatest integer function use the squeeze theorem.
15. ### calculus

(lim x --> +inf) of (x^2 - [[x^2]])/2 using Squeeze theorem only thank you so much in advance! its for my midterm tonight!
16. ### Calculus

Would someone please tell me how to solve these two problems? Find the indefinite integral: x(x-1)^5 dx (v^2)(1-v)^6 dv
17. ### Calculus

Integral of x sq/(1+x sq) dx I am not sure how to do this, am i supposed to do partial fractions to break it up? Or is it just some simple substitution?
18. ### calculus

Solve for all real values of x. 3tan^2x = 3^1/2 tan x I have no idea how to approach this problem.
19. ### Calculus

Find the average value of the function on the given interval: f(x)=cos(16x), [0,pi/2] The answer I got is 1.
20. ### Calculus II

Find the volume of the solid obtained by revolving the graph of $$y = 16 x\sqrt{4 - x^2}$$ over [0,2] about the y-axis.
21. ### Calculus

Find the derivative of y=xsin(2/x)? On web-assign everything that I have tried has been wrong.
22. ### Calculus

Find the slope of the tangent line to the graph of the function f(x)=x*e^x at x=3 correct to two decimal places.
23. ### Calculus

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

Please help me with this problem: Find the number c that satisfies the conclusion of the Mean Value Theorem. f(x) = x/(x + 4) [1, 8] i got to f'(x)= 4/(x+4)^2=(-1/60).
25. ### calculus

s(t) = t^4 - 2t^2 + 1 t is greater than or equal to 0 Find the interval(s) in which the robotic arm is slowing down in the negative direction.
26. ### Calculus

Determin the absolute extreme values of the function on the given interval. 1.)y= 3 sin x + 4 cos x, xE[0, 2pie]
27. ### Calculus

Evaluate the following limit: lim x->0 xcscx =limx->0 x/sinx Does it equal one because the reciprocal is 1/1=1?
28. ### calculus

If the graph of f passes through the point (1, 0) and the slope of the tangent line at(x, f(x)) is 4x − 3, find the value of f(2).
29. ### University calculus

if g(x)=the integral sign (with sin(x^2) on top and 10 at bottom) (1+t) dt, find g'(sqr root pie/2)
30. ### calculus

Find the volume of the solid formed by revolving the region bounded by the graphs of y=3-(x^2) and y=2 about the line y=2

33. ### Calculus

Use a triple integral to find the volume of the solid bounded by the parabolic cylinder y=3x^2 and the planes z=0,z=2 and y=1.
34. ### Calculus

Evaluate the triple integral _E (xy)dV where E is a solid tetrahedron with vertices (0,0,0), (4,0,0), (0,1,0), (0,0,4) I just can't seem to find the limits, of x,y and z
35. ### calculus

determine the seating capacity of an auditorium with 46 rows if there are 18 seats in the first row, 21 in the second, and 24 in the third and so on
36. ### calculus

How do you find the limit of: 1(1 - (1/k))/2! as k increased with no bound? I know the answer is 1/2! But how do you get there? Are you supposed to divide both top and bottom by k?
37. ### Math

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function h(x)=integral [2,1/x]sin^4t dt
38. ### Calculus

same as my question below please help me post your answer on here if you have one on these forms of course h t t p : / / w w w . p h y s i c s f o r u m s . c o m / s h o w t h r e a d . p h p ? t = 4 2 1 7 6 3
39. ### calculus

Find the first four iterates of the function using the given value. f(x)= x(2.5 - x); x sub zero = 3
40. ### Calculus

find volume of solid obtained by rotating region bounded by curves y=x and y=sq.rt x, about line x=2
41. ### calculus

Use the following function values to calculate H '(1). f (1) f '(1) g(1) g'(1) 3 -4 8 -1 H(x) = x/(g(x) f(x)) How would this problem be done... i found H(x) to be 1/24 but don't know how to find the derivative of h'(1)
42. ### calculus

Let f(x)=2.2 3x. Estimate the derivative f'(2.3) to within two decimal places by using a small enough interval.
43. ### calculus

Let f(x)=x^3+3. Estimate the following to within two decimal places by using small enough intervals.
44. ### calculus

Given that x3-axy+3ay2=3a3 Find the equations for the tangent and normal lines at point (a,a)
45. ### calculus

A. find y' by implicit differentiation. B. solve th equation explicitly for y and differentiate to get y' in terms of x. cos (x) + √y = 5
46. ### calculus

Explain and show how you would estimate 0.5 x 4.62 . Then justify why this is a good choice for arriving at the correct answer.
47. ### Calculus

Use implicit differentiation to find the slope of the tangent line to the curve –2x^2–2xy–1y^3=–3 at the point (–1–1).
48. ### 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]
49. ### Calculus

t 3 5 7 9 11 13 V(t) 0 30 23 19 12 6 A. What is the largest number of subdivisions that can be used to estimate the definite integral ∫3-13V(t)dt? Answer: n=
50. ### Calculus

Use implicit differentiation to find an equation of the tangent line to the curve y^2 = x^3 (26 − x) at the point (1, 5).
51. ### Calculus

Use implicit differentiation to find an equation of the tangent line to the curve y^2 = x^3 (26 − x) at the point (1, 5).
52. ### calculus 1

find the total area between the curve ( y= 4-x to the second power) and the x-axis over the interval [-3,7]
53. ### Calculus

If the region in the first quadrant bounded by the graph of y=cosx and the interval[0,pi/2] is bisected by the line x=c, guess c.
54. ### Calculus I

A square-bottomed box with no top has a fixed volume, V. What dimensions minimize the surface area?
55. ### Calculus

I have a cone and water is leaking from it at a rate of sqrtV*-2 how do i find out how long it takes
56. ### calculus

Find the volume of the solid obtained by rotating the region bounded by the curves y=x^6, y=1 about the line y=4
57. ### 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.
58. ### Calculus

Find the intercept, relative extrema, point of inflection, and asymptotes of the function(if they exist)of: y= (x^4) - 8(x^3) + 18(x^2) - 16x + 5
59. ### calculus

The first derivative of the function f is given by f'(x) = (cos^2x)/x - 1/5 How many critical values does f have on the open interval (0,10)?
60. ### 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?
61. ### 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?
62. ### calculus, limits, l'hopital

Find the limit as x->0 of (2-2cos(x))/(sin(5x)) Mathematically I got 2/5, but on the graph it appears to be 0.
63. ### calculus

use the approximations ln 2=0.693 and ln= 1.609 together with the properties of natural logarithms to calculate an approximation to ln 40

Write r arule expressing the area of a circle as a function of its radius. What is the domain of the object?

Write a rule expressing the area of a circle as a function of its radius. What is the domain of the object?
66. ### calculus

How do I find the indefinite integral of h(u)=sin^2(1/5u) this is one fifth u. Does it involve double angle formulas? Thanks.
67. ### calculus wxmaxima

does anyone know how to approximate the are and circumfrence of the region bounded by the given curves y=cos(x^2 +(100493/100000)), y=1+x-X^2
68. ### Calculus

Consider the parabola r(t)=<t-t^2>, does the principal unit normal vector point in the + or - y-direction along the curve?
69. ### Further maths

But i need a more detail explanation find the derivative function of the differential calculus (2x+3)^3(4x^2-1)^2
70. ### 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
71. ### Calculus

"Using Lagrange multipliers, find the minimum value of f(x,y) = x^2 + y subject to the constraint x^2 - y^2 = 1." Any help would be appreciated!
72. ### Calculus

"Using Lagrange multipliers, find the maximum value of f(x,y) = x + 3y + 5z subject to the constraint x^2 + y^2 + z^2 = 1." Any help would be appreciated!
73. ### calculus

Let f (x) = 5 - x/2. What is the value of the Riemann sum R(f ,0,8), obtained by using four rectangles and left-hand endpoints?
74. ### calculus

how do I differentiate the volume equation to find how fast a box is filling with sand if I know the length and width?
75. ### calculus

Find the volume generated by revolving the region bounded by y=18x-3x^2 and y=9x about the y-axis. a. pi/12 b. pi/6 c. 3pi/4 d. pi/3 help! .. :D
76. ### Math / Calculus

Use implicit differentiation to find an equation of the tangent line to the cardioid at the point (0,0.5) x^2+y^2=(2x^2+2y^2-x)^2 Y=
77. ### calculus

let m and b be nonzero real numbers if the line y=mx+b intersects y^2=4px in only one point, show that p=mb
78. ### Calculus

Find the volume of the solid formed by revolving the region bounded by y=x^3, x=2 and y=1 about the y-axis. Please help =(
79. ### Calculus

Find the definite integral that represents the arc length of the curve y=sqrt(x) over the interval [0, 3]
80. ### calculus

A plane is flying at 240mph and is climbing at 22 degrees. Find the rate at which it is gaining altitude when y=3miles
81. ### calculus

4. a. Estimate the area under the graph of f(x)=sqrt(x^2+4) from x=0 to x=2 using four rectangles and right endpoints.
82. ### Calculus

Solve the separable differential equation: dy/dt=4y^6 and find the particular solution satisfying the initial condition y(0)=-3 y(t)=?
83. ### CALCULUS:)

The region between the graphs of x=y^2 and x=6y is rotated around the line y=6. The volume of the resulting solid is ____?
84. ### calculus

Find the slope of the line secant to the following function passing through the given x-values: f(x) = x3 + 5x; x = 3 and x = 6
85. ### Calculus

Find the derivative of y with respect to x. y= (lnx)/(3+4lnx) Should I start by using the quotient rule?
86. ### calculus

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y, y=4sin(x), y=e^(7x), x=0, x=pi/2
87. ### calculus 2

find the volume of the solid obtained by revolving the region bounded by the graphs of y=2+4x-x^2 and y=2 about the line y=2.
88. ### calculus

Find an expression for the function f(x) whose graph is given by the top half of the circle(x-3)^2 + y^2 = 121. f(x) = ????
89. ### calculus

Find an expression for the function f(x) whose graph is given by the top half of the circle(x-3)^2 + y^2 = 121. f(x) = ????
90. ### Calculus

Use the definition of continuity and properties of limits to show that the function is continues at given a. f(x)=x^2+sqrt(7-x) a=4
91. ### Calculus II

Find the volume of the solid obtained by revolving the graph of y= 6x sqrt (9-x^2) over [0,9] about the y-axis.
92. ### Calculus

Can you arrange the digits 1-9, into a 1:2 fraction ( example 1/23+4/56+7/89=1) to equal 1? Only using each number once!
93. ### 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.
94. ### calculus

lim as approaches infinity of sin(pie.x/2-3x) i need the work and answer find the limit
95. ### calculus

find the volume of the spherical segment with diameter 20inches and a zone area of 160 pi in2
96. ### calculus

find the points on the graph of y=sec x, 0=<x<=2pi, where tangent is parallel to 3y-2x=4. use exact values.
97. ### calculus

For what x-values does y=e^-x have the same slop as x+4y = 1 I am not sure what steps I am supposed to take to tackle this problem.
98. ### Calculus (Derivatives)

Using the product rule, find the derivative of the following function: (x^1/2 cscx sinx).
99. ### calculus

Show that the equation;x+3sinx=2 has a root between x=0.4 and x=0.6 using newton raphson's formular only
100. ### Calculus I

Find the exact area of the surface obtained by rotating the curve about the x-axis. y = sqrt(1+5x) from 1<x<7