Friday
July 3, 2015

Homework Help: Math: Calculus

Recent Homework Questions About Calculus

Pre-Calculus (absolute values)
I want to find the invariant points( points that are fixed) algrebraically of x^2 - 25 and its reciprocal. Would I set up my equation like this? 0 = x^2 -25 or 0 = 1/ x^2 - 25 Thanks
Tuesday, May 12, 2015 by Lucina

Calculus
f(x)=xe^-x^2. What interval is this function increasing.
Monday, May 11, 2015 by Andrew

pre calculus
Given that sinx= 3/5 and that x terminates in Quadrant 2 , determine the values for cosx and tanx Find Cos x/2
Monday, May 11, 2015 by Anonymous

Pre-calculus ( Absolute value)
Why does |7 + 3x| = x -1 have no solution? I could plug in, for example 5, and the answer would be positive. Thank you =)
Sunday, May 10, 2015 by Lucina

Pre-Calculus
Can someone please explain on how to solve this equation so I can do the others that are similar to this one? Find the solutions of the equations that are in the interval [0,2pi) cos x cot^2 x= cos x Thank you!
Saturday, May 9, 2015 by Anonymous

Calculus
Let g be a function that is defined for all x, x ≠ 2, such that g(3) = 4 and the derivative of g is g′(x)=(x^2–16)/(x−2), with x ≠ 2. a.Find all values of x where the graph of g has a critical value. b.For each critical value, state whether the ...
Friday, May 8, 2015 by Gary

calculus
Integral of 1/[x^2(1+x^2)]
Friday, May 8, 2015 by ben

calculus(urgent pls)
Integral of 1/[x^2(1+x^2)]
Friday, May 8, 2015 by ben

Calculus, derivatives
The curve is given by x^2+2r(sqrt(y))=xy What is dx/dr when y is constant?
Friday, May 8, 2015 by Andy

Calculus(URGENT PLS!!!)
Find the integral of (e^cosx)sinx
Friday, May 8, 2015 by ben

Calculus
Find the area of the region bounded by f(x)=5xsqrt(121−x2) and the x-axis. The area is = to
Friday, May 8, 2015 by Lis

Calculus - Derivative
The curve is given by x^2+2r(sqrt(y))=xy What is dx/dy when r is constant?
Friday, May 8, 2015 by Fred

Calculus
The local linear approximation of a function f will always be greater than or equal to the function's value if, for all x in an interval containing the point of tangency f '(x) < 0 f '(x) > 0 f "(x) < 0 f "(x) > 0
Thursday, May 7, 2015 by Gary

Calculus
The function g is defined for x>0 with g(1)=2, g'(x)=sin(x+1/x), and g"(x)=(1-1/x^2)cos(x+1/x). A. Find all values of x in the interval 0.12<=x<=1 at which the graph of g has a horizontal tangent line. B. On what subintervals of (0.12,1), if any, is the graph...
Thursday, May 7, 2015 by Sarah

Calculus
Consider a differentiable function f having domain all positive real numbers, and for which it is known that f'(x)=(4-x)x^-3 for x>0. A. Find the x-coordinate of the critical point of f. Determine whether the point is a relative maximum, a relative minimum, or neither ...
Thursday, May 7, 2015 by Sarah

Calculus
If f is a function such that [(f(b)-f(a))/(b-a)]=2 , then which of the following statements must be true? a.f(a) = f(b) = 2 b.The slope of the tangent line to the function at x = a is 2. c.The average rate of change of the function on the interval [a, b] is 2 d.The linear ...
Thursday, May 7, 2015 by Gary

Calculus
True or False If f is continuous at x = c, then f is differentiable at x = c.
Thursday, May 7, 2015 by Gary

Calculus
The local linear approximation of a function f will always be greater than or equal to the function's value if, for all x in an interval containing the point of tangency f '(x) < 0 f '(x) > 0 f "(x) < 0 f "(x) > 0
Thursday, May 7, 2015 by Gary

Calculus
Find the average value of the function f(x)= 8/ (3+x)^2 on the interval [0,2]
Thursday, May 7, 2015 by Anonymous

Calculus
A cable that weighs 3 lb/ft. is used to lift a golf cart which weighs 700 lbs up to the deck of a boat which is 300 ft above a loading dock. Find the work done.
Thursday, May 7, 2015 by Anonymous

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.
Thursday, May 7, 2015 by Anonymous

Calculus
Find the volume of the solid obtained by rotating the region bounded by y= x^(1/3), and y= x about the line y=1
Thursday, May 7, 2015 by Anonymous

Calculus
Find the volume of the solid obtained by rotating the region bounded by y= x^2, y=0, and x=3 about the x-axis.
Thursday, May 7, 2015 by Anonymous

calculus 1 (I need help)
The portion of the ellipse x^2/9+y^2/4=1 with x greater than or equals to 0 is rotated about the y-axis to form a solid S. A hole of radius 1 is drilled through the center of S, along the y-axis. Find the exact volume of the part of S that remains. Show all steps. (Hint: use ...
Wednesday, May 6, 2015 by linda

calculus
Use table of integrals to evaluate the integral of x^4 sinxdx.
Wednesday, May 6, 2015 by beam

Calculus
Find the average value of the function f(x)= 8/ (3+x)^2 on the interval [0,2]
Wednesday, May 6, 2015 by Joe

Calculus
A cable that weighs 3 lb/ft. is used to lift a golf cart which weighs 700 lbs up to the deck of a boat which is 300 ft above a loading dock. Find the work done.
Wednesday, May 6, 2015 by Joe

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.
Wednesday, May 6, 2015 by Joe

Calculus
Find the volume of the solid obtained by rotating the region bounded by y= x^(1/3), and y= x about the line y=1
Wednesday, May 6, 2015 by Joe

Calculus
Find the volume of the solid obtained by rotating the region bounded by y= x^2, y=0, and x=3 about the x-axis.
Wednesday, May 6, 2015 by Joe

Calculus
Find the area of the region bounded by the curves y=x^2 - 2x and y= x + 4
Wednesday, May 6, 2015 by Joe

Pre-Calculus
Evaluate. 1-|200+||-2|(-5)^3|| I get 49 as an answer
Wednesday, May 6, 2015 by Lucina

calculus
find the exact arc length of the curve: y=0.5(e^x + e^-x) for 0 is less than or equal to x and x is less than or equals to ln2.
Wednesday, May 6, 2015 by may

Calculus
What is the derivative of tan(1-x)^(1/2)?
Wednesday, May 6, 2015 by Lola

Calculus
The graph of f '(x) is continuous and decreasing with an x-intercept at x = -3. Which of the following statements must be true?
Monday, May 4, 2015 by joe9

Calculus max/min
d=0.767. There are two parallel sidewalks that are separated by the park that is 600 feet wide. You are standing on the south sidewalk facing east. On the north sidewalk, 2000 feet ahead of you, is a bus stop. You can walk on the sidewalk at 5.5+d feet per sec. You can walk ...
Sunday, May 3, 2015 by John

Calculus 2
Find the radius of convergence and interval of convergence of the series. There is an infinity sign on top of the summation symbol and "n=1" underneath it. To the right of the summation symbol is x^n/5n! How would you find the radius of convergence and interval of ...
Sunday, May 3, 2015 by Sena

Calculus
A wedge is cut from a right circular cylinder of radius r by two planes, one perpendicular to the axis of the cylinder and the other making an angle (beta) with the first. Find the volume of the wedge by slicing perpendicular to the y-axis. Please show all steps
Sunday, May 3, 2015 by Beam

calculus
h(x)= x + cos(ax), where a is a positive constant such that 0 < a < 4. What values of a make h(x) strictly decreasing? I know h'(x) has to be less than zero for h(x) to be decreasing and h'(x) = 1-asin(ax). I'm not sure where to go from here...
Saturday, May 2, 2015 by kaitlyn

Optimization Calculus
A three sided fence is to be built next to a straight section of river, which forms the fourth side of a rectangular region. There is 96 ft of fencing available. Find the maximum enclosed area and the dimensions of the corresponding enclosure. I drew a picture of it and I got ...
Saturday, May 2, 2015 by Nicole

Calculus
h(x) = x+cos(ax) is a family of functions where a is a positive constant such that 0<a<4. Which values of a make h(x) strictly decreasing? Justify your answer. I can't figure this out and help would be appreciated. Thanks in advance!
Saturday, May 2, 2015 by ashley

Calculus
h(x)= x + cos(ax), where a is a positive constant such that 0 < a < 4. For what values of a will h(x) have a relative maximum at x=1? So I found the derivative and got h'(x) = 1- asin(ax). Then I plugged in 1 for x and set the derivative equal to zero, so I have 1 + ...
Friday, May 1, 2015 by ashley

Calculus
h(x)= x + cos(ax), where a is a positive constant such that 0 < a < 4. For what values of a will h(x) have a relative maximum at x=1? So I found the derivative and got h'(x) = 1- asin(ax). Then I plugged in 1 for x and set the derivative equal to zero, so I have 1 - ...
Friday, May 1, 2015 by ashley

Calculus
Imagine making a tent in the shape of a right prism whose cross-section is an equilateral triangle (the door is on one of the triangular ends). Assume we want the volume to be 2.2 m3, to sleep two or three people. The floor of the tent is cheaper material than the rest: assume...
Thursday, April 30, 2015 by Lizz

Calculus
What is the solution to the following system of equations -2x+3y+z=5 x+5y+2z=17 To do this, I used elementary operations and isolated x to get 13y+5z=37. Is that correct so far? How would I continue?
Thursday, April 30, 2015 by Sara

Calculus
How would I find the equilibrant of three vectors? I am given a graph of three different vectors which meet at the point (0,0)
Thursday, April 30, 2015 by Sara

Calculus
If 3(a,3,2)-2(3,b,b)=(-3,1,-2) determine a and b. Describe the set spanned by the vectors. I don't know how to answer this
Thursday, April 30, 2015 by Sara

Calculus
I'm not sure how to do this; I figured I should use separation of variables but I got the wrong equation. Help is appreciated, thanks! If dy/dx=(1+x)/(xy), x > 0, and y = –4 when x =1, when x =3, y = ? A. 6.433, −6.233 B. 3.898, −3.898 C. 4.711, −...
Thursday, April 30, 2015 by ashley

Calculus
What are the coordinates of the point on the graph of f(x)=(x+1)(x+2) at which the tangent is parallel to the line with equation 3x-y-1=0? a)(-3,2) b)(-1,0) c)(0,2) d)(1,6) To answer this, I put f(x)=(x+1)(x+2) into the form f(x)=x^2+3x+2 and found the derivative which is f&#...
Thursday, April 30, 2015 by Sara

Calculus and Vectors
A plane is flying south east at a constant speed of 900km/h. The wind is blowing towards the north at 100km/h. Determine the resultant velocity of the plane relative to the ground.
Wednesday, April 29, 2015 by John

Calculus
What does it mean to span in R2? I have this question: Which of the following sets if vectors span R2? a) {(1,1),(-2,-2)} b) {(1,1),(1,2)} c) {(1,2),(1/2,2)} d) {(-1,1),(1,-1)}
Wednesday, April 29, 2015 by Sara

Calculus
An airplane is heading due east with an airspeed of 220km/h when it encounters a wind from the south at 76km/h. What is the direction of the resultant velocity of the airplane The answer is E19.06°N but I don't know how
Wednesday, April 29, 2015 by Sara

calculus
Write and then solve for y = f(x) the differential equation for the statement: "The rate of change of y with respect to x is inversely proportional to y^4."
Wednesday, April 29, 2015 by Anonymous

Calculus-limits
What is the limit as x approaches a of (sinx-sin a)/(x-a)? a. -sin a b. cos a c. -sin x d. cos x e. undefined Thanks!
Wednesday, April 29, 2015 by ashley

calculus
For the function f(x)=x^3e^x, determine intervals of increase and decrease and the absolute minimum value of f(x) To do this I found the derivative which is f'(x)=3x^2e^x. Then I set it to zero: f'(x)=0 0=3x^2e^x How would I isolate x? And when I do, I would sub that x...
Wednesday, April 29, 2015 by Sara

Calculus-limits
I'm studying for the AP exam and I can't figure this problem out. I thought the answer was negative infinity but that isn't an option. Thank you in advance! What is the limit as x approaches infinity of (9x-x^2-7x^4)/(x^3+12x)? a. 9 b. 7 c. -7/12 d. -7 e. Does not ...
Wednesday, April 29, 2015 by ashley

Calculus
Can you please explain how I would solve these questions? 1) Which point is 2 units from the line 12x-9y-5=0? a)(8,3) b)(7/6, -7/3) c)(14,6) d)(1,1) 2.) Which of the following sets of vectors spans R2: a) {(1,1),(-2,-2)} b) {(1,1),(1,2)} c) {(1,2),(1/2,2)} d) {(-1,1),(1,-1)}
Wednesday, April 29, 2015 by Sara

calculus
1.Solve the differential equation dy/dx= y^2/x^3 for y=f(x) with the condition y(1) = 1. 2.Solve the differential equation y prime equals the product of 2 times x and the square root of the quantity 1 minus y squared. Explain why the initial value problem y prime equals the ...
Tuesday, April 28, 2015 by Anonymous

Pre-Calculus
Explain the difference between sin^-1(x) and 1/sin(x), Are there different expressions for both these functions?
Tuesday, April 28, 2015 by Andrea

Pre-Calculus
At 34 degrees north latitude, the longest day of the year has 14.273 hours of daylight, and the shortest day 9.726 hours. If the equinox falls on march 21(day 80), model the hours of the daylight by day?
Tuesday, April 28, 2015 by Jessica

Pre-Calculus
f(x) is a sinusoidal curve with maximum at f(0)=10 and next minimum at f(6)=0. Find the equation?
Tuesday, April 28, 2015 by Richard

Calculus
Piecewise function problem. Let f(x)={ax^2+1/3, x is greater than or equal to 1; bx-10/3, x<1. If the function is differentiable, find the sum of a+b.
Tuesday, April 28, 2015 by Anonymous

Calculus
The rate of change of atmospheric pressure P with respect to the altitude h is proportional to P provided that the temperature is consistent. At 15 degrees Celsius, the pressure is 101.3 pounds per square inch (psi) at sea level and 87.1 psi at height 1000m. Find the pressure ...
Tuesday, April 28, 2015 by Anonymous

Calculus
Susan pulls on a rope sleigh with a force of 120 N. If the rope makes an angle of 25 degrees with the horizontal, what is the force that tends to lift the sleigh? a)120.00 N b)108.76 N c)50.71 N d)84.85 N how would you know?
Tuesday, April 28, 2015 by Sara

Calculus
Can someone check my work on this problem? I'm studying for the AP test and I would really appreciate any help. Let f(x) = the definite integral from [-2,(x^2-3x)] of e^(t^2) dt At what value of x is f(x) a minimum? a. For no value of x b. 1/2 c. 3/2 d. 2 e. 3 The answer I...
Tuesday, April 28, 2015 by ashley

Calculus
Find the area of the largest rectangle that fits inside a semicircle of radius 10 (one side of the rectangle is along the diameter of the semicircle).
Tuesday, April 28, 2015 by Chris

Calculus help??
I'm not sure how to solve this and help would be great! d/dx [definite integral from 0 to x of (2pi*u) du] is: a. 0 b. 1/2pi sin x c. sin(2pi x) d. cos (2pi x) e. 2pi cos (2pi x) This is the fundamental theorem, right? What's confusing me is the u and du and the end. ...
Tuesday, April 28, 2015 by ashley

Calculus I
Marketing tells you that if you set the price of an item at $10 then you will be unable to sell it, but that you can sell 500 items for each dollar below $10 that you set the price. Suppose your fixed costs total $3000, and your marginal cost is $2 per item. What is the most ...
Tuesday, April 28, 2015 by John

Differential Calculus
a person standing at the edge of a cliff throws a rock directly upward. it observed that 2 seconds later, the rock is it maximum height and that 5 seconds after it reached the highest point, it hits the ground at the base of the cliff. what is the initial velocity of the rock
Tuesday, April 28, 2015 by rex

Calculus
find the area of the region bounded by the curves y=x^2-1 and y =cos(x)
Monday, April 27, 2015 by joe9

Calculus
find area of the region bounded by the curves y=x^2-1 and y=cos(x). give your answer correct to 2 decimal places.
Monday, April 27, 2015 by joe9

Calculus
How would I find the second derivative if f(x)= √(x^3+2) using the quotient rule. I got to the step where [(12x√(x^3+2))-(9x^4/√(x^3+2​))]/4(x^3+2) how would i go from that to: (3x(x^3+8))/(4(x^3+2)^3/2)
Monday, April 27, 2015 by Sara

calculus check
Find the limit as x approaches 3 of [(2x^3-5x^2+7)/(3sin(xpi/6)-cos(xpi))] When I plugged in 3, I got 4.
Sunday, April 26, 2015 by Jeff

calculus
Given the relationship 2x^2 + y^3 =10, with y > 0 and dy, dt = 3 units/min., find the value of dx, dt at the instant x = 1 unit.
Sunday, April 26, 2015 by Anonymous

Calculus 2
Determine whether the series is convergent, absolutely convergent, conditionally convergent, or divergent. On top of the summation sign (∑) is infinity. Under the summation sign is n=2, and right next to it (to the right of ∑ sign) is (n root of (n)-1)^n (Sorry I ...
Sunday, April 26, 2015 by Sena

Calculus
Find the average value of f(x) on the interval [-1, 3] when f'(x)=3x^2-6x and f(2)=0.
Sunday, April 26, 2015 by Anonymous

Calculus
The expression dy/dx = x*(cube root y) gives the slope at any point of the graph of the function f(x) where f(2) = 8. A. Write the equation of the tangent line to f(x) and any point (2,8). B. Write an expression for f(x) in terms of x. C. What is the domain of f(x)? D. What is...
Sunday, April 26, 2015 by ashley

Calculus
Find limit as x approaches 0 [7x/(sqrt(x+4)-2)]
Sunday, April 26, 2015 by Anonymous

Calculus
People are entering a zoo at the rate of 100e^t+75t people per hour where t is the amount of time the zoo has been open on that day measured in hours. If the doors are open at 9:00 AM, how many hundreds of people have entered the zoo at 11:40 AM? (Nearest integer)
Sunday, April 26, 2015 by Sarah

calculus
If f(x)=the integral of (3x^2+2x+4) dx, find C if f(1)=10.
Sunday, April 26, 2015 by Jeff

Calculus
Find the area bounded by y=x^2-4x+3 and y=x+4 to the newrest integer.
Sunday, April 26, 2015 by Anonymous

Calculus 2
Use the Comparison Test to determine whether the series is convergent or divergent. On top of the summation sign (∑) is infinity. Under the summation sign is n=1, and right next to it (to the right of ∑ sign) is cos^2n/n^2. How would I compare them and come to the ...
Saturday, April 25, 2015 by Sena

calculus
A water tank has the shape of an inverted right circular cone with base radius 3 meters and height 6 meters. Water is being pumped into the tank at the rate of 12 meters3/sec. Find the rate, in meters/sec, at which the water level is rising when the water is 2 meters deep. ...
Saturday, April 25, 2015 by ana

Calculus 2
Determine whether the p-series is convergent or divergent. On top of the summation sign (∑) is infinity. Under the summation sign is n=1, and right next to it (to the right of ∑ sign) is 3/n^e. I was wondering how would you start the problem from start to finish. ...
Saturday, April 25, 2015 by Sena

Pre-Calculus
Two hoses together fill a pool in 2 h. If only hose A is used, the pool fills in 3 h. How long would it take to fill the pool if only hose B were used? I multiplied 3 and 2 and got 6 hours. Is this a valid method? Thanks
Saturday, April 25, 2015 by Lucina

Calculus
A circle has a radius lf 10/(pi-1) which is the same value as the side of a square. Both the radius of the circle and the side of the square are gowing at 1 in/sec. Find the difference between the rates of change of their area in in/sec.
Saturday, April 25, 2015 by Sarah

Calculus
Given f(x)=x^2-27x-28, find the largest integer in shich f is decreasing.
Saturday, April 25, 2015 by Anonymous

Calculus
A particle moves along the curve y = 3x2 + 1 in such a way that the y value is increasing at the rate of 3 units per second. At what rate is x changing when x = 2?
Saturday, April 25, 2015 by emma

Calc 1
Consider the following function. f(x) = x^6 ln x (a) Use l'Hospital's Rule to determine the limit as x → 0+. (b) Use calculus to find the minimum value. Find the interval where the function is concave up. (Enter your answer in interval notation.) Find the ...
Friday, April 24, 2015 by TayB

calculus
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3 sqrt x,y=3 and 2y+1x=4
Friday, April 24, 2015 by webworks

Pre-Calculus
Simplify the rational expression and then add or subtract. Express answers in simplest form and identify all non-permissible values. (The non-permissible value is not the issue. It is the simplification) 3x + 15/x^2-25 + 4x^2 -1/ 2x^2 + 9x -5 3(x+5)/(x+5)(x-5) + 4x^2 -1/ (x+5...
Wednesday, April 22, 2015 by Lucina

Calculus Indefinite Intergral
I need help with integrating these two problems. Im stuck. 1. integrate (sin^-1)dx/((1-x^2)^3/2) sin^-1 aka arcsin 2. integrate dx/((1-x^2)^3/2) by using 1/z Any and all help will be appreciated!
Wednesday, April 22, 2015 by John

Calculus
(Bees collecting pollen and nectar - Optimization) Many bees collect both pollen and nectar. Pollen is used for protein, and nectar is used for energy. Suppose the amount of nectar harvested during t seconds on a flower is: F(t)=t/(1+t) and that the amount of pollen harvested ...
Wednesday, April 22, 2015 by Corbin

pre-calculus
eliminate parameters of x=1+cos t y=1-sin t graph the parametric equations
Wednesday, April 22, 2015 by JK

calculus
In the space below, provide the smaller of the two positive integers that add to 40 and have the largest possible product
Wednesday, April 22, 2015 by emma

calculus
If 800 feet of fencing is used to enclose a rectangular plot of land that borders a river, what is the maximum area that can be enclosed? Answer to the nearest square foot without commas. For example, if the answer is 1,000, write 1000.
Wednesday, April 22, 2015 by emma

calculus (please help)
find the volume of the solid whose bounded by the circle x^2+y^2=4 and whose cross sections perpendicular to the y-axis are isosceles right triangles with one leg in the base. Please give explanation and steps
Wednesday, April 22, 2015 by may

Pre-Calculus
Can the following be reduced any further? 14x^2/56y^3 I did not reduce because there were different variables in the numerator and denominator. Thanks
Wednesday, April 22, 2015 by Lucina

calculus
find the area under the curve y= 1/(3x+1)^2 over the interval [0,1]. please show all steps
Wednesday, April 22, 2015 by Linda

Calculus
F(x)=Integral of (-12sinx/cos^2x) dx+c F(0)=4. Find C
Wednesday, April 22, 2015 by Anonymous

  1. Pages:
  2. <<Prev
  3. 1
  4. 2
  5. 3
  6. 4
  7. 5
  8. 6
  9. 7
  10. 8
  11. 9
  12. 10
  13. 11
  14. 12
  15. 13
  16. 14
  17. 15
  18. Next>>

Homework Help: Math

Members