# Pre- Calculus

21,911 results, page 95
1. ## calculus

What are the dimensions of a rectangular field of area A that requires the least amount of fencing.
2. ## calculus

Find the slope of the tangent line to the curve (2x+4y)^1/2+(2xy)^1/2=13.4 at the point (6,5).
3. ## Calculus

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

I'm having trouble with this one. Problem: Find the equations for the planes parallel to x+2y-2z=1 and two units away from it.
5. ## Hard Calculus

f(x)= xsquared - 2x Determine whether y= f(IxI) is continous at x= 0 justify your answer
6. ## College Calculus

What is the integral of cos^6x? I tried half angle identities but it didn't really help...
7. ## calculus

Find the length of the curve deﬁned by the parametric equations x = 2/3t, y = 2ln((t/3)^2−1) from t =6 to t =7.
8. ## calculus

Find the second derivative of the volume of a cube with respect to the length of a side
9. ## Calculus

Solve for x: Lnx= -5 I am stuck on this simple qusetion, i know the answer is .01, but I donr't know how to get it. Thanks!
10. ## calculus

let f(x)=0.5x^3-4x^2-2x+5.a.use n deriv to graph f(x),f'(x),f"(X)on the window xmin = -5,xmax=10,ymin= -50,ymax= 10
11. ## Calculus

the points a, b, c, d, e, f, g are equally spaced along a line. Name a vestor which is equal to 3BD
12. ## multivariate calculus

Q.NO.1: Show that the function z=ln(x^2 + y^2)+2tan^-1(y/x) satisfies Laplace’s equation. (∂^2z/∂x^2)+(∂^2z/∂y^2)=0
13. ## Calculus

find the derivative of f(x)=((x^2+3)^5+x)^2 using the chain rule. I know that I would start with f'(x)=2((x^2+3)^5+x) but I don't know how to do the rest
14. ## Calculus

Prove the identity and give its domain. 4sinxcosx+sin4x=8sinxcos^3x
15. ## Calculus

Integrate sqrt(x^2 + x) dx I have completed the squares and got x^2-x = (x+1/2)^2 -1/4 Now i don't know how to proceed, plz help me!
16. ## CALCULUS

Find and classify all locsl extreme values of each given function.(no decimals) (a) g(x)=e^(2x)+e^(-x) (b) g(x)=x^(2/3)*(x^(2)-4)
17. ## Calculus

What is the largest rectangle that can be inscribed in the first quadrant of the ellipse 9x^2+16y^2=144?
18. ## Calculus

Write a vector equation AND parametric equations of the line through the points A(6,-1,5) and B(-2,-3,6)
19. ## Calculus

Find a forula for the following function. A line with slope 5 and x-intercept 10 is the answer y(x)= 5x-50
20. ## Calculus

Using the equations R(x)=-x^2+400x and C(x)=x^2+40x+100, find the Maximum Revenue
21. ## calculus

A region is bounded by y=2x and y=4sqrt(x). Find the volume when rotated along 1)y=-1 2)the y axis
22. ## calculus

Estimate approximately the slope of the tangent of y=2sinx+cosx at the point x=4,2
23. ## calculus

Find an equation of the tangent line to the curve at the given point y = x + cosx, (0,1)
24. ## calculus

Given: theta is in standard position in quadrant 1 with p(x,y)=(5,12) find sin 2 and cos 2
25. ## Calculus

find the equation of both the tangent lines to the ellipse x^2+9y^2=81 that pass through the point (27,3)
26. ## Calculus

find the extreme values of the function and where they occur y=1/(sqrt 1-x^2). So far I have y'=x/((1-x^2)(1-x^2)^(1/2)) but I am stuck.
27. ## calculus

Find a point c satisfying the conclusion of the Mean Value Theorem for the function f(x)= x^1/3 on the interval [1,8] I got f'(c)= 1/7 but am not sure where to go from there.
28. ## calculus

Given the function y = 2 - x - x^3 Use limits to find the slope (and then the equation) of the tangent line at x = 2
29. ## 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
30. ## calculus

find the equation of line L. L is parellel to y=4x show work pleaase..
31. ## calculus

Plot the points and determine the slope of the line containing them (-7,-4);(8,-4) please show work

find the derivative of y with respect to the appropriate variable y=sec^-1*5s
33. ## Calculus

Approximate the sum of the series correct to four decimal places. n=1 to infinity (-1)^n/4^n*n!
34. ## calculus

Find the exact values of x if 0<=x<=pi and 2sin^2(x)-sinx-2sinxcosx+cosx=0
35. ## Calculus

Find the equation of the tangent line to the curve y=1+ xe^(2x) y'=(e^(2x))(2x+1) = slope What's the next step?
36. ## Calculus

Approximate the sum of the series correct to four decimal places. n=1 to infinity (-1)^n/4^n*n!
37. ## Calculus

Determine if the planes in each pair are parallel and distinct or coincident. a) 5x - 2y + 4z = 7 5x - 2y + 4z = -3 b) 7x - 3y - z = 9 21x - 9y - 3z = 27

Explain why three directional vectors of the plane cannot me mutually perpendicular .
39. ## Calculus

Let F(x) = (x+1) / (x^2-16). Use the definition of the derivative to compute f'(x) and give its domain. Show all steps.

Explain why three directional vectors of the plane cannot me mutually perpendicular .
41. ## calculus

Find the value of x where Y= 5^2x * e^(3x^2) has a horizontal tangent. Is this point a Max, Min or plateau?
42. ## Elections

Calculus / Graphical, Numerical, Algebraic: Teacher's Guide with Answers
43. ## 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.
44. ## calculus

for the function f(x)=5/x+4, find the average rate of change of f from 1 to x. please show work
45. ## calculus

Given the function: y = 2 - x - x^3 use limits to find the slope (and then the equation) of the tangent line at x =2.
46. ## Calculus

Determine a vector equation for the line through the points (-1, 4) and (2, -1). I said: r= (-1,4) + (4,-5), tER, is that correct?
47. ## Calculus

Write this expression as a single logarithm 6ln(x+8)+1/8lnx-ln(cosx)
48. ## 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
49. ## calculus

Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it. lim x→∞ {(5x − 4)/(5x + 3)}^5x + 1
50. ## 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?
51. ## Calculus

What are the dimensions of a rectangular field of area A that requires the least amount of fencing?
52. ## Calculus II

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

Find dy/dt where y = 2 sqrt(2)− 4 and dx/dt = 9 when x = 4. I found the derivative of y=2sqrt(2)-4 but I am stuck as to where to plug in dx/dt
54. ## Calculus I

Section is Integration by Substitution: Evaluate the indicated integral. x^2 sec^2 x^3dx
55. ## calculus

How do solve for q for the following and find the derivative for them? 1) pq+p+100q=50000 2) (p+1)(ã q+1)=1000 3) p=(1/2)ln((5000-q)/(q+1))
56. ## calculus

P2 has a mysterious inner product * for which {x+4, 3x-5} is an orthonormal basis. IS there enough information to tell what is the length of 1? If so, compute it. If not say why not.
57. ## Calculus

INT 1/sqrt e (the constant) dy from 1 to infinity. Determine if it is convergent or divergent
58. ## Math:Calculus

State whether or not the following statements are true. Justify your reasoning. a. a• ( b+c ) = a• b + a • c b. a × ( b+c ) = a × b + a × c c. a × ( b•c ) = a × b • a × c Appreciating any help!
59. ## Summer School Calculus

Not sure of this: Describe three situations in which you may want to know the projection of one vector onto another. Merci for the help!
60. ## 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
61. ## calculus

Determine (6i+2j)· (i-4j+k) This is a dot product question and each letter has the vector symbol
62. ## Calculus

Find the absolute maximum and minimum values of the function f(x)=3(x-2)^(2/3)+5 on the interval [1,10]? I'm not sure how to do this. Please help.
63. ## calculus

How would you use series to evaluate the lim(x->0) of (x-arctanx)/x^3? I'm getting stuck, and the answer says it's 1/3 but I don't know how they got there.
64. ## calculus

find y' if x^2y^4+3y-4x^3=5 cos x-1 (2x-y^4)+(dy/dx4y^3*x^) +dy/dx+12x^2=5(-sin x-1) is this started correctly
65. ## Calculus

Find a formula for the derivatives of the function m(x)=1/(x+1) Please help.....Any assistance would be greatly appreciated.
66. ## 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.
67. ## 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.
68. ## Math Calculus

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

Find the derivative for k(x) = (5x4 + 2)(3sin x). Would this be the answer: (60sinx)x^3+ (15cosx)x^5+ 2
70. ## calculus

Find an equation of the tangent line at x = 0 for the given function. f(x) = 5x2 + cos(x) I really need help on this one.
71. ## calculus

P2 has a mysterious inner product * for which {x+4, 3x-5} is an orthonormal basis. IS there enough information to tell what is the length of 1? If so, compute it. If not say why not.
72. ## calculus ab

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

find equations of the tangent lines to the curve y=x/(x+5) that pass through the point (2,7).
74. ## Class 12th Calculus

If y = e^x cosx, prove that dy/dx sqrt(2) e^x . cos(x+ pie/4)
75. ## Calculus

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

1. integral (x^3 * sqrt(x^2-4)) dx I'm confused on how to start this problem, if I am doing trig substitution.
77. ## calculus

Find the points on the curve y=(cosx)/(2+sinx) at which the tangent is horizontal.
78. ## Calculus

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

Find the area of the region bounded by y=x^4/3-4 , the x-axis,x=-1 , and x=1 .. Search tips:
80. ## Calculus

(3) Suppose that f : R2 → R is a continuous function at x0 ∈ R2 and that |f(x0)| > 2. Show that there is a \$ > 0 such that |f(x)| > 2 whenever ||x − x0|| < \$.
81. ## Calculus ll

Find the partial derivative of the function with respect to each of the independent variables.f(x,y)=xe^2y
82. ## calculus

how to find surface area of a cylinder with respect to r(radius) and h(height)?
83. ## Calculus (pleas help!)

For what values of k is lim x -> INF coshkx/sin2x finite?
84. ## 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?
85. ## Calculus 1

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

find the limit as x approaches zero of (3sin2x)/sin7x and show work is it 6/7?
87. ## calculus

find the equation of the tangent line at f(x)=tanx - 2 at point (pie/8,3)
88. ## calculus

the tangent to the curve y=a/x +bx at (1,3) is parallel to the line whose equation is y=2x+1. find the values of a and b.
89. ## Calculus

find an equation for the line tangent to the curve at the given point and show how y=(x^4+2)/x^2, x=-1
90. ## calculus

find the equation of the curve for which y''=(12/x^3) if it passes through (1,0) and is tangent to the line 6x+y=6 at that point.
91. ## calculus

given f(x)=sqrt(x). find the distance of the point P(2,5) from the line tangent to the functions at x=4.
92. ## integration (calculus)

Find the indefinite integral. ∫((e^-x-1)/(e^-x + x)^2) dx I am trying to use the substitution method. u=e^-x + x du= -e^-x+1 dx Right so far?
93. ## calculus

what is the interval notation for solution set of the inequality x^2+16x is less than or equal to 0
94. ## Calculus

Find the quadratic polynomial g(x)=ax2+bx+c which best fits the function f(x)=7x at x=0, in the sense that g(0)=f(0), and g'(0)=f'(0), and g''(0)=f''(0).
95. ## Calculus

The region bounded by y= e^x, y=0, x= -1 and x=1 is rotated about the x-axis, find the volume generated.
96. ## Calculus

Find the area of the largest rectangle that can be inscribed in a semicircle or radius r.
97. ## Calculus

Find the integral of x/ (x^4+x^2+1) from 2 to 3. I was going to integrate using the method for partial fractions but I can't factor x^4+x^2+1.
98. ## Calculus

What is the slope-intercept equation of the line tangent to the graph of y=8ln(x) when x=5.
99. ## calculus

given the function f(x)=x^3 defined for 0<x<1 evaluate the lower & upper Riemann sums.
100. ## Calculus

Could anyone please help me figure out the discontinuity that is removable of the following function?? Any help would be greatly appreciated! Thanks in advance!!! f(x)=4x/x^2+x-2