# Pre- Calculus

21,880 results, page 95

1. ### Calculus

Evaluate the integral by interpreting it in terms of areas. bounds from -1 to 0. 3+sqrt(1−x2) dx
2. ### Calculus

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

If b is a positive constant, find the average value of the function f defined by f(x) = x2 + bx + 1 on the interval [-1,1]
4. ### 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
5. ### 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).?
6. ### 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
7. ### calculus

Find the general indefinite integral ∫cosxsin^4xdx
8. ### calculus

Find the center of mass in the 1st quadrant of the circle x^2+y^2=4 where rho(x,y)=k(x^2+y^2) Thanks.
9. ### Calculus

Find the vector and scalar equations of the plane containing the line r=(3,5,1)+t(-2,3,1) and the point (1,2,3)
10. ### 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.
11. ### Math-Calculus

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

Design an Advanced U substitution problem whose answer must be exactly 6 and can be solved without using calculator?
13. ### Calculus

for a normal curve what percentage of values falls beyond two standard deviations from the mean
14. ### 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!)

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

Solve without a calculator. cos(arcsin (3x/2)) I made a triangle but im stuck after that..
17. ### Calculus

determine the each resultant a) 10 km/h north followed by 8 km/h west b) 25 N at 10 degrees to the horizontal and 30 N horizontally.
18. ### Calculus

Determine the equation of the tangent line to the curve y = 2x²-1 at the point where x = -2
19. ### Calculus

Ba has a half-life of 283.2 hours. How long would it take for the 50 mg of Ba in a sample to decay to 1.0 mg?
20. ### Calculus:)

Find the area of the region enclosed by y−2x^2≥0 and |x|+|y| ≤ 1
21. ### calculus-help.. .Me

if y=e^(-kt)[Acosh(qt)+Bsinh(qt)] where A,B,q and k are constant show that d^2y/dt^2+2kdy/dt+(k^2-q^2)y=0 step plz thanks
22. ### Calculus

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

What is the connection between improper integrals, Riemann sums, and the integral test?
24. ### Calculus

Find the area of the region enclosed by y−2x^2 ≥ 0 and |x|+|y| ≤ 1
25. ### calculus

Find the area of the region bounded by the graphs of the algebraic functions: f(y)=y^2+12 g(y)=0 y=-12 y=13
26. ### calculus

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

use the comparison test to determine whether the series is convergent or divergent ∑ n=1 1/n^n
28. ### 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.
29. ### Calculus AB

The average value of a continuous function f(x) on the closed interval [3,7] is 12. Whats the value of ∫ from [3,7] f(x) dx?
30. ### 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.
31. ### 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
32. ### Calculus

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

Find an equation of the tangent line to the curve at the point (1, 1/e). y = (x^3)(e^−x)
34. ### 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 )
35. ### Calculus

Evaluate as limit approaches 0. (Without using l'hopital's rule. ( Sqrt(4+sin(x))-2 ) / (3x)
36. ### Calculus

Find the x-coordinates of all points on the graph of y=x^3 - 4x^2 + 5x at which the tangent line is horizontal.
37. ### Calculus 1

Find an equation of the tangent line to the curve y = 6/(1+e^−x)at the point (0,3).
38. ### 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).
39. ### 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).
40. ### Calculus

Find an equation of the tangent line to the given curve at the specified point: y=sqrt(x)/x+1, (4,2/5)
41. ### 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
42. ### Calculus 1

Use Newton's method to approximate the root of the equation x^3+x+2=0 with initial guess x1=-1 gives:
43. ### Calculus

Approximate the sum of the series correct to four decimal places. n=1 to infinity (-1)^n/4^n*n!
44. ### 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!
45. ### Integral Calculus

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

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

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

Let \lambda be a positive real number. Evaluate \sin^{-1}(\lambdai)
49. ### Calculus

Use differentials (or, equivalently, a linear approximation) to estimate the given number. sqrt100.4
50. ### 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
51. ### 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.
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 2

The region between the graphs of y=x^2 and y=6x is rotated around the line x=8. The volume of the resulting solid is?
54. ### Calculus

Given f(x) = cubed root of x^2 (2x+5)^3, find the critical numbers after you identify the domain.
55. ### calculus

Find the exact area of the region bounded by the -axis and the graph of (x^3)-x
56. ### math calculus 2

Find the area of the region RR bounded by y=sin(x), y=cos(x), x=−π/3, x=13/6.
57. ### Calculus III

Use the cross product to find the area of the triangle with vertices: P=(1,1,5) Q=(3,4,3) R=(1,5,7)
58. ### 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]?
59. ### HELP CALCULUS

Find dy/dx by implicit differentiation. tan−1(4x2y) = x + 3xy2
60. ### Calculus

Find a forula for the following function. A line with slope 5 and x-intercept 10 is the answer y(x)= 5x-50
61. ### 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.
62. ### Calculus

f(x)=(-9x3–5x2+4x–2)/(–7x2–9x+7) What is the smallest value of x at which f(x) intersects its non-vertical asymptote?
63. ### calculus

Evaluate the following line integral: ∮C[(4x^2+3x+5y)dx+(6x^2+5x+3y)dy] where C is the path around the square with vertices (0,0),(2,0),(2,2) and (0,2).
64. ### Calculus

Find the equation of the line that is tangent to the curve x(t) = t^2+1 and y(t)=t^3-1 at the point (5,7). I get a slope of 7.5.
65. ### Calculus

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

Explain why three directional vectors of the plane cannot me mutually perpendicular .
67. ### Calculus 1

y= 3/x^3; [1,3] Find the area under the graph of the function over the integral given. The book answer is 4/3
68. ### calculus

I am having trouble with this problem also derivative differentiate f(x)=(3-x)^4(x+5)^3 so far I have 4(3-x(x+5)^3+3(x+5)(3-x) Not quite right. Treat it as d/dx[u(x) + v(x)] = u dv/dx + v du/dx u(x) = (3-x)^4 v(x) = (x+5)^3 du/dx = -4(3-x))^3 (using the chain rule) dv/dx = 3(x...
69. ### 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.
70. ### 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?
71. ### calculus honor

If y = 2x3 – 4x and , find when x = 1. Give only the numerical answer. For example, if = 3, type only 3.
72. ### Calculus

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

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

present value of 450\$ in 6 years with a 9.5% discount compounded semi annually
75. ### Applied Calculus

Find the derivative of this function: g(t)=(8t+10)^2*(10t^2-7)^-3 Using the Chain Rule.
76. ### calculus

Evaluate the following line integral: ∮C[(4x^2+3x+5y)dx+(6x^2+5x+3y)dy] where C is the path around the square with vertices (0,0),(2,0),(2,2) and (0,2).
77. ### calculus

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

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

Does x^4 * e^x have a horizontal asymptote? Take the derivative to see if slope is zero. dU/dx = x^4 * e^x = 4x^3 * e^x + x^4 * e^x So, what happens as x approaches neg large ?
80. ### 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
81. ### calculus

use the integral test to determine whether the series is convergent or divergent ∑ n=9 1/n(ln n)^3
82. ### 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.
83. ### Calculus

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

What's the integral of e^(1+i)x dx? Please provide the full solution because I don't understand how to do this question at all.
85. ### 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.
86. ### calculus

If f(2)=-3, g(x)=f^-1(x), what is the equation of the tangent line to g(x) at x=-3? I don't know how to find g(x), if you can help me with that, then I think I can do the rest of the problem
87. ### Calculus

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

Suppose that f (x) is a function such that the relationship given below is true. f (3 + h) - f (3) = 9h^2 + 8h (a) What is f '(3)? (b) What is the slope of the secant line through (3, f (3)) and (7, f (7))?
89. ### 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
90. ### calculus

Find the area of the region cut from the first quadrant by the curve r=2(2-sin2ɵ)½
91. ### Calculus

The integral from 1 to 5 of 1/x^2*(times) the square root of 1+(1/x)dx. i've had tried this problem over and over again and cannot get the correct answer. Please help. thanks
92. ### 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
93. ### Calculus

Use implicit differentiation to find dz/dy for yz = ln (x+z) I am unsure of how to deal with the right side specifically.
94. ### Calculus

Find the particular solution that satisfies the intial condition: xdy - (2xe^(-y/x)+y)dx = 0
95. ### 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]
96. ### Calculus

Solve the equation (3^x)^2-12*3^x+27=0 Simplify and write without negative exponents: 3^2(x^-2y^3)^3/4^1/2*x^-4cuberooty^2
97. ### Calculus

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

Find values for x and/or y on the graph of x^2-2y^2+9x+8y-276=0 for which there is a vertical tangent line
99. ### basic calculus

find a appropriate formula for the area of a narrow circular ring
100. ### Calculus AB

What's the lim(x-->-infinity) sqrt(x^4-1)/(x^3-1)? I've tried solving for it but I got -1/0, which would make it undefined. Is that correct?