# Pre- Calculus

21,824 results, page 91

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

Use a linear approximation (or differentials) to estimate the given number. radical (99.4)

4. ### Calculus

Determine the value(s) of k such that the area of the parallelogram formed by vectors a = (k+1, 1,-2) and b =(k,3,0) is [sqrt(41)]
5. ### calculus

solve the firs-order differential equation by separating variables y'=xy^3/√(1+x^2)
6. ### Calculus I

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

Determine the derivative of each function A1) y = e^x(Sin²x) A2) y = e²Sin²x B1) y = (x³ + 1)e^-2 B2) y = (x² + 1)e^-2 C) y = x²(theta^Sinx)

Determine the equation of the tangent line to the function f(x) = x + Sinx at x = pie
9. ### calculus

Find the total area enclosed by the functions given below. y=x^2+2x+1 and y=2x+5 limits are -2 to 2

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

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

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

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

Write a vector equation AND parametric equations of the line through the points A(6,-1,5) and B(-2,-3,6)
15. ### 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.
16. ### Calculus Grade 12 University

8. Find the vector equation of the line in which the 2 planes 2x - 5y + 3z = 12 and 3x + 4y - 3z = 6 meet.
17. ### Calculus

Find the shortest distance between the two skew lines L1 and L2 with equations r = [1,2,2] + s [4,3,2] and r = [1,0,-3] + t [4,-6,-1]
18. ### 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)
19. ### Calculus review

use the first derivate test to locate the maxima and minima of y = x^(1/3)
20. ### Calculus

Find the derivative of the function y defined implicitly in terms of x. y = sqrt(xy + 9) Please help! Thanks! :)
21. ### Calculus

Find the maximum area of a rectangle that lies above the x axis and below y=9-x^2
22. ### Calculus

Find if the limit exists. lim tan(x)/x x->0 Please show how you determined this. Thanks!
23. ### 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
24. ### calculus

find one point on the graph of y= x+2cosx such that the tanget is horizontal
25. ### math

Use part I of the Fundamental Theorem of Calculus to find the derivative of g(x)= integrate from 9x to 4x of ((u+4)/(u-1))du
26. ### Calculus

Show that non positive rational number, x, exceeds its cube, x^3 by exactly 1.
27. ### calculus

find the limit. lim (5-e^x)/(5+3e^x) (x-> infinity) how would i go about solving this? thank you in advance to anyone who can help me.
28. ### Calculus Help

Assuming a,b,c and d are positive constants use algebra to find lim (ax^+b)/(cx+d) x-->infinity
29. ### Calculus

I need help solving for this final problem to complete my assigment. Please help! Solve for x: ln(x^4)-ln(x^2)=2
30. ### calculus

Find the dimensions of the largest cylinder that can be cut from a solid sphere of radius a.
31. ### Calculus AP

areas between the curves x=y^2-2, x=y, y=3. int[a,b](f(y)-g(y)) dy i know how to graph. but im have problem with integral.
32. ### Calculus

Find dy/dx by implicit differentiation. x^3 - 3x^2y + 2xy^2 =12 Please show me the work/steps on how to do it.

find the equation for the line tangent to the curve at the given point. y=((x^2)+1)/((x^2)-1) at (2, 5/3)
34. ### calculus

what is the slope of the tangent line passing through the point (2,3) of the graph of this function? f(x)=x^2+2x-5 A 1 B 2 C 3 D 4 E 6
35. ### CALCULUS

what is the area in square units of the region under the curve of the function f(x)=x+3, on the interval from x=1 to x=3? 10 12 14 16 18 ?
36. ### calculus

What is the value of this expression when n approaches infinity? 4 −(4/n)+(5/n)+(15/3n^2) *its all one equation*
37. ### Calculus

Use the substitution x=3tan() to evaluate the indefinite integral 93dx/(x^2sprt(x^2+9))
38. ### Calculus

Evaluate integral of x times the square root of (x-4) dx I got u-(8u^(3/2) over 3) Can anyone check this for me?
39. ### Calculus

Evaluate the limit as h approaches zero of (the cubed root of 8-h)-2/h. Can also be written ((8-h)^1/3)-2)/h
40. ### calculus

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

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

solve the inequality algebraically 7x-6 less than or equal to 3x^2 please show work
43. ### maths-calculus

mean value theorem prove sq root 9.1 is less than or equal to 3+1/60
44. ### Calculus

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

Find a value of the constant k such that the limit exists. x^2-k^2 lim _________ x->8 x-8 k=+/_
46. ### Applied Calculus

Find the derivative of the function f by using the rules of differentiation. f(x)=340
47. ### Calculus

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

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

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

Find the inner product of a and b if a= (3, 0, –1) and b= (4, –2, 5), and state whether the vectors are perpendicular.

52. ### Calculus

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

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

Estimate the area under the graph of 25−x 2 from x = 0 to x = 5 using 5 left rectangles?
55. ### Calculus

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

Evaluate each of the following. Show all your calculations.  f" (0) if f(x) = 14x^2 + 3x − 6
57. ### Calculus

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

Find the derivative of the following: f(x)=ln(e^(2x)/(x^2-4)^3 Please show all steps so I can follow Thanks!
59. ### Calculus-Solved - Incorrect

k(z)= 4z^4 - z(z+10)/((1+z)^2) derivative? 16z^3 + (3z^3 + 26z^2 + 42z + 10)/((1+z)^4) this is wrong though ^
60. ### MATH Calculus Homework

Find the area of the region between the curve y^2=4x and the line x=3.
61. ### MATH Calculus Homework

Find the area of the region between the curve y^2=4x and the line x=3.
62. ### Calculus help!

Describe the following surface and give traces where available: 16x^2 + 16y^2 - 9z^2 = 0
63. ### Calculus

Given f(x)=1+2cos x , find the area under the curve y=f(x) between x = pi/2 and 2pi/3.

Determine the value of k such that the points (4,-2,6), B(0,1,0) and C(1,0,-5) and D (1,k,-2) lie on the same plane.
65. ### Calculus grade 12 lines and planes

Find the value of k so that the line [x,y,z] = [2,-2,0]+ t[2,k,-3] is parallel to the plane kx +2y - 4z= 12
66. ### Calculus

Find the general expression of the kth nonzero term in the taylor series f(x) = 3/(1+x), for k= 0, 1, 2,...
67. ### 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.
68. ### calculus

valuate ∬(x^2+y^2)^2/(x^2y^2) dx dy over the region common to the circles x^2+y62=7x and x^2+y^2=11y
69. ### Calculus-PLZ HELP STEVE!

Find the inverse Laplace transform of the following function: F(s)=(9+s)/(4-s^2)
70. ### 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.
71. ### calculus

find the area enclosed between the x-axis and the curve, if y=x^3 and the straight line y=x
72. ### Calculus

Find the area of the region bounded by the graphs of the given equations: y=x, y=2√x
73. ### Calculus

If f(x)= (1-cosx)/x and g(x)= 2/x on the interval (0,infinity), how would you identify all vertical asymptotes of f and g?
74. ### Calculus

Determine if Rolle's Theorem can be applied. If it can, find all values of c such that f'(c)=0. f(x)=x^3-9x, [-3,3]
75. ### Calculus

Find the derivative of the function y, below. It may be to your advantage to simplify before differentiating. y = 8x(ln(x)+ln(2))-4x+pi
76. ### Calculus-concavity and graphing

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

Determine whether the sequence is divergent or convergent. a(sub n)=(−1)^n(sin(2/n))
78. ### Calculus

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

Find the limit. lim t → ∞ (sqrt t + t^2)/(6t − t^2)
80. ### Calculus

Graph the integrands and use areas to evaluate integrals (integrate(3&-3)) root(9-x^2) dx
81. ### Calculus

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

write and row reduce the augmented matrix to find the general solution: 2x - z = 2 6x + 5y + 3z = 7 2x - y = 4
83. ### 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
84. ### calculus

h(t)=tan theta (5pie/3,3pie) graph the function on the given interval
85. ### Calculus

for what values of r does the function y=e^rx satisfy the differential equation y''-4y'+y=0 Show steps please! Thank you!
86. ### Calculus

Use a tangent line approximation at x=0 to estimate the value of sin(-0.1). I got 0.1
87. ### calculus

u have 7 different pass codes from a choice of 8 numbers how many possible outcomes are there
88. ### calculus help

find the position function s(t) given acceleration a(t)=3t, if v(2)=0, and s(2)=1. the answer is s(t)=(t^3/2)-6t +9 but I don't know how to solve this. Can someone help me with this? Thank you!
89. ### Calculus

2x -------- (x-2)(x+2) using partial fractions That's supposed to be a division sign of some sort
90. ### Calculus

2x -------- (x-2)(x+2) using partial fractions That's supposed to be a division sign of some sort
91. ### 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.
92. ### 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.
93. ### Calculus-Newton Method Approximation

1/ 3(x^3) + 1/2(x^2) + 1 = 0, x1 = −3 newtons way to the 4th decimal
94. ### Calculus

10) Evaluate the integral by making the given substitution. ∫sec(5x)tan(5x)dx u=5x
95. ### Calculus

can you show me the steps to evaluate this indefinite integral. s(e/x^4+pie^2/square root of x
96. ### Calculus

Show that Rolle's Theorem applies to the given function for ht eg oven values of x: x=-1 and x=4 for f(x)=3x-x^2+2
97. ### multivariable calculus

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

Find an equation of the tangent line to the curve at the given point. y =x^4+4x^2−x,(1,4) y=?
99. ### calculus

If 3x^2 + y^2 = 7 then evaluate the second derivative of y with respect to x when x = 1 and y = 2. Round your answer to 2 decimal places.
100. ### Calculus 1

Use logarithmic differentiation to find the derivative of the following equation. y = (2x+1)^5(x^4−3)^6