Pre- Calculus

21,824 results, page 99

1. 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
2. calculus

An annuity has a differential equation of y'=4500+.035y, and an initial condition of y(0)=1000. Describe what is going on.
3. Calculus

Find the colume, in cubis units, generated by revolving the region bounded by y=x^3 x=0 and y=8 around the line x=7
4. Calculus

Find the volume, in cubic units, generated by revolving the region bounded by y = x3 , x = 0, and y = 8, around the line x = 7 .
5. Calculus

Calculate the derivative.? d/dx ∫ from √x to x^2 tan9tdt = Use symbolic notation and fractions where needed.
6. calculus

Find the constants a & b such that the function f(x)={2 if ≤ -1 {ax+b if -1<x<3 {-2 if x ≥3 is continuous on the entire real line
7. calculus

Calculate f" for f(x)=g(e^(2x)), where g is a function defined for all real numbers & g admits second order derivative.
8. calculus

Calculate f" for f(x)=g(e^(2x)), where g is a function defined for all real numbers & g admits second order derivative.
9. calculus

Find the equation, in slope intercept form , of the line tangent to the graph of the square root of (x^3+7x+1), when x=3
10. Calculus

If 3x^2-2y^2=4xy + 20, find the point(s) at which the graph from Problem 28 has vertical tangents. I found that dy/dx= (3x-2y)/(2x+2y), but now I don't know what to do. Do I set dy/dx to 0?
11. calculus

How do I integrate x(arctanx) dx? Is it some sort of integration by parts? Can you please show steps? Thanks in advance!
12. math-calculus

using quadratic formula solve |x^2-2x-6| = 4. and answer have to be 1+-sqrt3, 1+-sqrt11 i just not get how to get this.
13. 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
14. calculus

Find a formula for a quadratic function whose graph has a y-intercept at y = 21 and only one zero at x = –28.
15. 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)
16. college Calculus Help!

Find the derivative of the function. 1. F(x)= (1+2x+x^3)^1/4 2. f(t)= (1+tant)^1/3 ---> i hate trig. 3. y=4sec5x 4. y=xsin√x
17. college Calculus Help!

Find the derivative of the function. 1. F(x)= (1+2x+x^3)^1/4 2. f(t)= (1+tant)^1/3 ---> i hate trig. 3. y=4sec5x 4. y=xsin√x
18. Calculus AP need help!

i don't know how or what to starts Find the slope of the tangent line to the curve 4x^2+3xy+3y^3=-251 at the point (-4,-5)
19. 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
20. 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
21. 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.

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

What is the antiderivative of: (x - x^3) / (x^4 +1)? I know that somehow I will need to factor out 1/(x^2 + 1), or the derivative of arctan, but I'm not quite sure how to do this. Any help is appreciated, thank you.
24. 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) ?
25. calculus

Find the volume of the solid formed by rotating the region enclosed by y=e2x+1y=0x=0x=09 about the y-axis.
26. calculus

Rotate the region enclosed by the given functions around the x-axis. Determine the volume. y=x^2+2x+1 and y=2x+5 limits are -2 and 2
27. calculus

Find the volume of the solid formed by rotating the region enclosed by y=e2x+1, y=0, x=0, x=0.9 about the y-axis.
28. calculus

help!! please ...Find the volume of the solid obtained by rotating the region bounded by y=5x+25 y=0about the y-axis
29. CALCULUS

Could someone show me the steps to separating the variables in the following differential equation: dy/dx = (2x+1) / (y+1)? I keep messing it up.
30. CALCULUS - HELP

I am trying to solve 0=1-asin(a) for a, but I have reached a dead end at sin(a) = 1/a. From here I'm not sure what to do.
31. 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)
32. calculus

Use the 2nd derivative test to find the extremer of f on the interval [0,2PI] f(x)=2cosx+sin 2x
33. Calculus

Find the equation of the tangent line to the graph of the function f(x)= 2x^3−3x^2+4x+2 at x=2 I got y=16x-12 but I know it is wrong.
34. Calculus 2

Does Series n=1 to infinity 1/2n+1 converge or diverge? I'm thinking it converges, because p would be < 1 right? I'm a little confused.
35. Calculus

Find (1) marginal and (2)the average functions for the following total function. Evaluate them at Q=3 and Q=5 π=q^2+13q+78
36. calculus

Given that f(x)=2/3x^3 + 3/2x^2 -2x + 5. Find if exist, the maximum and minimum point using Second Derivative Test.
37. calculus

The voltage (V) applied to a 0.25 F capacitor is given by the equation : v= (t^2-2t)^3/5t Find the current at t = 3.7 s. (i=C dv/dt) Round to 3 significant figures
38. calculus

determine the volume of the solid of revolution generated by revolving the region bounded by y=x^3-x^5, y=0, x=0 and x=1 about the line x=3
39. Math-Calculus

Volume using disk method: x=.000574y^(2)-.439y+185 Interval: (0,500)
40. calculus

find the points of inflection and discuss the concavity of the graph of the function f(x) = -sin x + cos X 0<x< 2pie
41. 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.
42. calculus

the area of a rectangle is A=lw. Further suppose l=2w. calculate dA in terms of the differential dw. does this just mean to get the derivative of 2w^2
43. calculus

Determine the largest rectangle that can be inscribed inside the cavities of the two curves: y = –2(x – 6)2 & y = 6x2 –12*Tx – 128 + 6*T2

Integrate the following indefinite integral: (sin7x)^12 * (cos7x)^3 Hint: sin^2 + cos^2 = 1
45. calculus

solve the following inequality. write your solution in interval notation. x^3+9x^2-108 less than or equal to 0
46. calculus

Find the distance d(P1,P2)between the points P1 and P2. P1=(-5,2) P2=(2,1) d(P1,P2)=? *all the 1's and 2's are to be lower down.* Please show work
47. math/calculus

when approximating the value of transcendental functions, why are some centers more useful than others?
48. math/calculus

The function f is defined as follows: f(x)={x+6 if -5 less than or equal to x<1 f(x)={9 if x=1 f(x)={-x+5 if x>1 a. find the domain b. locate any intercepts, if any
49. Applied Calculus......

Rewrite the expression using positive exponents only. (Simplify your answer completely.) (x^3-y^3)(x^-3+y^-3)
50. 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
51. calculus

use implicit differentiation to find dy/dx . Then evaluate the derivative function at the designated point. log (xy)= 2; (4, 25)
52. calculus

Construct a sign chart for the derivative. Then determine the relative and absolute extrema for y = -4x2 + 4 on the interval [-3,3].
53. Calculus

How would I go about finding the limit of this sequence: (e^(2n)+6n)^(1/n) Please explain the steps, it'd be super helpful! Thanks!
54. 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?
55. calculus

Calculate the equation of the tangent and normal lines for the curve f(x) = tan 2x, at the point where the x-coordinate is: x = π/8.
56. 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?
57. calculus

Find the particular solution of the following differential equation by using the given boundary conditions. y(1+x)=x(y+1)(dy/dx) when y=1 x=1
58. Calculus

Find the arc length of the curve described by the parametric equation over the given interval: x=t^(2) + 1 y=2t - 3 --> 0<t<1
59. Calculus

Find the arc length of the curve described by the parametric equation over the given interval: x=t^(2) + 1 y=2t - 3 0<t<1
60. calculus

find the sum. use the summation capabilities of a graphing utility to verify your result. 5 Sigma (3a) k=2 ??
61. 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!!

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

Test the series for convergence/divergence. The Summation from n=1 to infinity of: 1*3*5...(2n-1)/(2*5*8...(3n-1) I'm not sure what to do with the extra terms on the left.
64. Calculus

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

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

Use implicit differentiation to find an equation of the tangent line to the curve at the given point x^2 + xy + y^2 = 3, (1,1)

How do you do this? Find the volume generated by revolving the area bounded by the ellipse(x^2)/9 + (y^2)/4 = 1 about the line x=3.
68. 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.
69. college calculus

I don't know how to solve this indefinite integral with both limits as variables: ^x^3 ç (z^4+1)dz ⌄ln(x) If you could explain I'd appreciate it.
70. 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.
71. Calculus

I've been having a hard time with these lately... could someone explain it to me? Find f '(a). f(x) = (3x^2 − 3x + 4)
72. calculus

Four out of five days were used to create a problem, how many day will it take to solve it?
73. calculus

Describe the slope of the tangent line to the curve defined by x 2 + xy - y 2 = 5 when x = 2. positive negative zero undefined
74. Calculus Help

Use logarithmic differentiation to find the derivative of the function. show steps please! y=(e^-xcos^2(x))/(x^2+x+1)
75. calculus help

explain fully what trick you must use in order to us L'Hospital's rule for indeterminate powers?
76. Calculus

The velocity v (in m/s) of an object moving with acceleration a (in m/s^2) is given by v =ʃ a dt, where t is the time (in seconds). Find a formula for v, if a =(5/4t)(t^2+1)^2.
77. 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
78. Calculus

find the area of the region inside the limacon r= 8 + 4sin(theta) HElp!! if you can show steps, i'd be greatful
79. calculus

N(t) = 120/(1+11e^(−0.4t) D. At what rate is the number of fruit flies increasing after 4 days?
80. Calculus-Math

Find an equation of the tangent line to the graph at the given point. 3(x2 + y2)2 = 100(x2 − y2), (4, -2)
81. 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
82. Calculus II

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

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

find the coordinates of the centroid bounded by y=25x^2 and y=4. the region is covered by a thin flat plate
85. Calculus

Find the volume of the largest rectangular box with edges parallel to the axes that can be inscribed in the ellipsoid x^2/81+y^2/25+z^2/49=1
86. 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.
87. Calculus

Find the slope and equation of the tangent line to the graph of the function at the given value of x. f(x)=x^4-20x^2+64;x=-1
88. Calculus

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

Find the degree 3 Taylor polynomial approximation to the function f(x)=8ln(sec(x)) about the point a=0 .
90. 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?
91. Calculus

Find d^2y/dx^2 for y=(x+3)/(x-1) A. 0 B. y=-8/(x-1)3 C. y=-4/(x-1)^3 D. y=8/(x-1)^3 E. None of these I got a positive number but am not sure about the denominator in the second derivative.
92. Calculus

Which of the following functions does not have a derivative of zero? A. y=-1/100 B. y=4(pi)^2-9 C. y=sin^2x+cos^2x D. y=cscxtanxcosx E. All do
93. Calculus

With the following coordinates (16,46) (18,64) (20,60) create three formulas using Y+Ax^2+Bx+C then solve for A,B, and C to form the final equation.
94. 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.
95. calculus

For f(x) = e2sin(x) use your graphing calculator to find the number of zeros for f '(x) on the closed interval [0, 2π].
96. Calculus

Write the definite integral for the area of the region lying in the upper half of the ellipse given by 4x^2+y^2=4
97. Calculus

Integration with U-Substitution Integral of [x/sqrt(x+1)] dx I'm getting confused with how to deal with the x when I find the derivative of (x+1) because they don't match.
98. calculus

The graph of the function y=x^5-x^2+sinx has a point of inflection at x= a. 0.324 b. 0.499 c. 0.506 d. 0.611 e. 0.704 Thanks.
99. Calculus

Use implicit differentiation to differentiate y=x8/37, by writing it as y37=x8. Express your answer only in terms of x.
100. calculus

find the area under the curve y= 1/(3x+1)^2 over the interval [0,1]. please show all steps