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October 30, 2014

Homework Help: Math: Calculus

Recent Homework Questions About Calculus

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Pre-Calculus
Solve sin (pi/4(x-6))=0.5, 0<x<360
Saturday, January 11, 2014 at 4:18pm

Calculus
The following table displays the number of HIV diagnoses per year in a particular country. Year 1997 1998 1999 2000 2001 2002 2003 2004 2005 Diagnoses 2512 2343 2230 2113 2178 2495 2496 2538 2518 a) Using Curve Expert or another curve modelling program, determine an equation ...
Saturday, January 11, 2014 at 12:17am

calculus
i need to find the derivative using chain rule and show steps: y= (x) / ((x^2)-1)^(-1/2) and is it possible to have free tutoring online like through a chatroom? i am in need of help
Friday, January 10, 2014 at 5:44pm

4 CALCULUS study problem
1. How fast does the radius of a spherical soap bubble change when you blow air into it at the rate of 15 cubic centimeters per second? Our known rate is dV/dt, the change in volume with respect to time, which is 15 cubic centimeters per second. The rate we want to find is dr/...
Thursday, January 9, 2014 at 1:23pm

Pre calculus
A woman went for a 48km drive in her car, partly in town in the country. She drove at an average of 40km/hr in town and an average speed of 50km/hr in the country. If the drive took her one hour altogether then how long did she drive in the country?
Thursday, January 9, 2014 at 12:53pm

calculus
updating previous question so easier to understand im using chain rule to answer this question: f(x) = -5 sqrt(x^2 - 4x + 1) what is f'(x)? tried to use calculator to get the answer to base my answer off of but this is a nonreal number. does this mean i will have to use ...
Wednesday, January 8, 2014 at 9:57pm

calculus
im using chain rule to answer this question: -5 ((x^2) - 4x + 1)^(1)/(2) tried to use calc to get answer to base off of but this is a nonreal number. does this mean i will have to use imaginary numbers? please help
Wednesday, January 8, 2014 at 9:07pm

Pre Calculus
Find the exact value of sin(1/2arcsin(-7/25))
Wednesday, January 8, 2014 at 8:23pm

Calculus
Let f(x)=(x/x+3). Find Domain Find f^(-1) and its domain Verify f*f^(-1)=f^(-1)*f=x Find (f(x+h)-f(x))/h.
Wednesday, January 8, 2014 at 7:15pm

Pre-Calculus
Write an algebraic expression in x for sec(arcsin(x/sqrt(x^(2) +4)))
Wednesday, January 8, 2014 at 7:10pm

Pre-Calculus
Find a quadratic function f such that f(1)=3, f(2)=5/2, f(-1)=1 I came out with 3 a+b+c=3, 4a+2b+c=5/2, a-b+c=1. And I know that I should do synthetic division but I am stuck.
Wednesday, January 8, 2014 at 1:21pm

Calculus
Integrate x dx/(1-x). I have proceeded thus- Int xdx/(1-x)=int -(x-1+1)/(x-1) =-Int[1+ 1/(x-1)]dx =-Int dx-Int dx/(x-1) =-x-log(x-1). On differentiating, we get original expression- d/dx[-x-log(x-1)]=-1-1/(x-1)=-x/(x-1)=x/​(1-x). However, the answer in the book is -x-log...
Wednesday, January 8, 2014 at 4:04am

AP Calculus AB
Find the derivative of: y=(cosx)^3-(sinx)^3
Friday, January 3, 2014 at 12:23pm

Pre calculus
1. Reference angle for -280 degrees? I do not understand why you add 360???? 2. Theta=? If reference angle =60 and theta terminates in quadrant 3. What does terminate mean? Please show work and explain why. My priority is to understand the concept ... 3. Exact value for sec ...
Wednesday, December 25, 2013 at 10:30pm

calculus
Evaluate to four significant digits log x = 5.3027
Saturday, December 21, 2013 at 3:48pm

CALCULUS - Check my answers :)
I'd appreciate corrections for the ones I get wrong. :) Thanks! 1. Determine which of the following is true for the function f(x) = x^3 +5x^2 - 8x +3. I. f(x) has a relative minimum at x = 2/3. II. f(x) has a relative maximum at x = 2/3. III. f(x) has a zero at x = 2/3 I ...
Thursday, December 19, 2013 at 7:18pm

Calculus
what is the limit n to infinite of cos1*cos(1/2)*cos(1/4)*cos(1/8)*cos(1/16​)*...*cos(1/2^n)
Thursday, December 19, 2013 at 1:03pm

calculus
f(x)=sqrt(x-2) what is the inverse of f? I got inverse f(x)= x^2+2 however, you need to specify the domain of x. the answer key says when x=>0 can you please explain why? I thought it would be when x=>2 ?
Wednesday, December 18, 2013 at 7:16pm

calculus
if f(x)= the integral of lntdt from sqrt(x) to 2, what is f'(x)? Do you solve the integral first then derive it? And if so, wouldn't that just give you the function? Please help
Wednesday, December 18, 2013 at 6:35pm

calculus
I got half of this problem wrong and I DO NOT know where and how to fix. I cannot use my calculator and have to show my work. Question: You have a 500 metre roll of fencing and a large field. You want to construct a rectangular playground area. a.) using optimization ...
Wednesday, December 18, 2013 at 6:27pm

calculus
In the process of electrolysis, electrical power is used to separate water into oxygen and hydrogen molecules via the reaction: H2O --> H2 + ½O2 This is very much like running a hydrogen fuel cell in reverse. We assume that only the activation potential for the ...
Wednesday, December 18, 2013 at 5:34pm

calculus
A competing technology uses a photovoltaic cell to charge a battery which can then be used to power a LED light. To compare these technologies, we make some reasonable assumptions. We assume the solar cell is 10 cm on a side, and that it has an efficiency of 15%. We assume the...
Wednesday, December 18, 2013 at 3:57pm

Pre-Calculus
y= ((2-3x^(1/x))/(2+3x^(1/x)) Is the horizontal asymptote y= 1 or y= -1?
Wednesday, December 18, 2013 at 10:45am

Calculus
The total stopping distance T of a vehicle is T=2.5x+0.5x^2 where T is in feet and x is the speed in miles per hour. Approximate the change and percent change in total stopping distance as sped changes from x=25 to x=26 miles per hour. I started taking the derivative, but that...
Tuesday, December 17, 2013 at 7:47pm

Calculus (check my work)
The measurement of the circumference of a circle is found to be 64 centimeters, with a possible error of 0.9 centimeter. Approximate the percent error in computing the area of the circle. MY ANSWER 8.83%
Tuesday, December 17, 2013 at 6:52pm

Calculus (check my answer)
The measurement of the edge of a cube is found to be 15 inches, with a possible error of 0.03 inch. Use differentials to approximate the maximum possible propagated error in computing the surface area of the cube. I got 5.4 inches squared. Is this right?
Tuesday, December 17, 2013 at 6:39pm

Calculus (check my answers)
10) Use the information to evaluate and compare delta y and dy. y=2-x^4, x=2 and delta x=dx=0.01 MY ANSWER: dy=-.32 and delta y=-.3224. Are they supposed to be negative, and how do I compare those in words? I don't even understand what I was supposed to do... 12) Find the ...
Tuesday, December 17, 2013 at 5:53pm

Calculus
Find the differential dy of the given function. y=sec^2x/(x^2+1) My answer was [tanx(x^2+1)-2sec^2x]dx/(x^2+1)^2 My friend (who's a lot smarter than me) got something wayyy different, so I'm not sure if I'm doing this wrong...?
Tuesday, December 17, 2013 at 5:35pm

Calculus
Consider the function x^2+x-4 Estimate the area between the graph and the x-axis between x=2 and x=4 using four rectangles and right end points.
Tuesday, December 17, 2013 at 12:27pm

calculus
two trains are on parallel tracks that are 2 miles apart. If both trains are traveling at 40 mph, how fast is the distance between the trains decreasing when they are 8 miles apart?
Monday, December 16, 2013 at 10:09pm

Calculus
The measurements of the base and altitude of a triangle are found to be 36 and 50 centimeters, respectively. The possible error in each measurement is 0.25 centimeter. Use differentials to approximate the possible propagated error in computing the area of the triangle.
Monday, December 16, 2013 at 7:45pm

Calculus
Please, don't assume that we've been taught this stuff because we were literally just handed a packet and told to learn it ourselves. I don't understand this in the slightest. The question is: Use the information to evaluate and compare delta y and dy. y=2-x^4, x=2...
Monday, December 16, 2013 at 7:30pm

Calculus
Please, don't assume that we've been taught this stuff because we were literally just handed a packet and told to learn it ourselves. I don't understand this in the slightest. The question is: Use the information to evaluate and compare delta y and dy. y=2-x^4, x=2...
Monday, December 16, 2013 at 7:08pm

Calculus
Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. Between y = x^2 − 4x + 1 and y = −x^2 + 4x − 5 for x in [0, 3] Please don&#...
Monday, December 16, 2013 at 6:13pm

Calculus
Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. Enclosed by y = x and y = x^4
Monday, December 16, 2013 at 6:11pm

Calculus
Use the information to evaluate and compare (triangle)x and dy. y=2-x^4, x=2, and (triangle)x=dx=0.01
Monday, December 16, 2013 at 6:03pm

Calculus
Evaluate the integral. HINT [Use a shortcut or see Example 4.] 4 to 3 x/(3x^2-6)dx
Monday, December 16, 2013 at 5:29pm

Calculus and vectors
Velocity represents the slope of a displacement function. Suppose an object was moving to the right, then stopped, then continued moving to the right. What would the displacement function look like?
Monday, December 16, 2013 at 8:54am

Calculus and vectors
it would appear that for any thrown object has a height that can be expressed using a quadratic expression. The maximum height occurred in the middle of the two zero values. Will this always be the case? What if the ball were thrown from a platform of height 1 m?
Monday, December 16, 2013 at 8:53am

Pre-Calculus
Is it possible to factor x^3 - 9x^2 + 24x - 20 and solve for x by hand? I tried using the grouping method and got x^2(x-9) + 4(6x-5) but how can I continue solving for x? If I use a calculator I get x= 2 and 5 but is it possible to find this by hand? thanks
Monday, December 16, 2013 at 1:11am

calculus
Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. Between y = x2 − 4x + 1 and y = −x2 + 4x − 5 for x in [0, 3]
Sunday, December 15, 2013 at 9:45pm

calculus hw
What is the area bounded by y=x^2 and y=x^3-2x?
Sunday, December 15, 2013 at 2:08pm

Physics/Calculus
A spherical oil tank with a radius of 10 feet is half full of oil that weighs 60 pounds per cubic foot. Its top is 6 feet underground. How much work is needed to pump the oil out of the tank through a hole in its top? How do I solve this? Does the fact that it its top is 6 ...
Sunday, December 15, 2013 at 12:24pm

Calculus
Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. HINT [See Example 3.] Enclosed by y = x and y = x^4
Sunday, December 15, 2013 at 2:14am

Pre Calculus
Find an expression equivalent to sec theta tan theta/ sin theta.
Saturday, December 14, 2013 at 9:12pm

Pre Calculus
Find an expression equivalent to sec theta tan theta/ sin theta.
Saturday, December 14, 2013 at 8:53pm

Calculus
A spherical oil tank with a radius of 10 feet is half full of oil that weighs 60 pounds per cubic foot. Its top is 6 feet underground. How much work is needed to pump the oil out of the tank through a hole in its top? How do I solve this? Does the fact that it its top is 6 ...
Saturday, December 14, 2013 at 8:13pm

Calculus (Please check my work.)
This is my last chance to make at least a C in my AP Calculus course, so please tell me if I got these right or wrong so that I can fix them before it's due. Also, there was one I wasn't sure how to do, so if you can help me with that, it would be much appreciated! 1)...
Saturday, December 14, 2013 at 9:25am

Calculus
How do you show that the minimum average cost occurs when the average cost equals the marginal cost?
Saturday, December 14, 2013 at 8:40am

Math (pre calculus)
Solve 2^3-x = 5^2x+1 Give an exact solution.
Thursday, December 12, 2013 at 6:48pm

Math (pre calculus)
The population of a certain town grows from 10,000 in 1982 to 35,000 in 1995. At this rate, in what year will the population reach 300,000? Tip* Population growth formula: P = P(subzero)multiplied by e^(k)(t)
Thursday, December 12, 2013 at 6:37pm

Calculus
Lim x to 3 (-x^2)/((x^2)- 6x + 9) substitution i get -9/0 factoring i get same answer would that mean the answer is infinity? if not how could i prove that it isn't infinity
Thursday, December 12, 2013 at 5:32pm

calculus
use a sign chart to solve inequality. Express answers in interval notation. x^2+6<2x
Thursday, December 12, 2013 at 4:46pm

Calculus PLEASE HELP
Show that the maximum profit occurs when the marginal revenue equals the marginal cost. I'm pretty sure this is supposed to be some sort of proof, but I have no idea how to even start it...
Thursday, December 12, 2013 at 5:29am

Calculus
Assume that the rate of population growth of ants is given by the equation: dP/dt=.1P(1 - P/730)-(129000/7300) a. If P(0)=150, what happens to P as t gets very large? b. If P(0)=800, what happens to P as t gets very large? c. If P(0)=800, what happens to dP/dt as t gets very ...
Wednesday, December 11, 2013 at 10:35pm

Calculus
Show that the maximum profit occurs when the marginal revenue equals the marginal cost. I'm pretty sure this is supposed to be some sort of proof, but I have no idea how to even start it...
Wednesday, December 11, 2013 at 8:21pm

Calculus
Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. (Round your answer to three decimal places.) Between y = e^x and y = x for x in [1, 2]
Wednesday, December 11, 2013 at 6:58pm

Calculus
Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. Enclosed by y = x^2 − 4x + 1 and y = −x^2 + 4x − 5
Wednesday, December 11, 2013 at 6:35pm

Calculus
Find the area of the indicated region. We suggest you graph the curves to check whether one is above the other or whether they cross, and that you use technology to check your answer. Enclosed by y = x^2 − 4x + 1 and y = −x^2 + 4x − 5
Wednesday, December 11, 2013 at 6:34pm

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.
Tuesday, December 10, 2013 at 8:39pm

pre calculus
2k^2+5k-9
Tuesday, December 10, 2013 at 6:30pm

pre calculus
2k^2+5k-9=0
Tuesday, December 10, 2013 at 6:26pm

pre calculus
x^2-3x-7=0
Tuesday, December 10, 2013 at 6:03pm

pre calculus
x^2-3/4x+1/8=0
Tuesday, December 10, 2013 at 5:58pm

pre calculus
2x^2+11x-21=0
Tuesday, December 10, 2013 at 12:39pm

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...
Tuesday, December 10, 2013 at 1:01am

calculus
Differentiate 3x+2(37,500,000/x) I know the answer is suppose to be 3(x^2-25,000,000)/x^2 but I'm not sure how to get there.
Monday, December 9, 2013 at 10:27pm

Calculus
Y=5x^4 -24x^3+24x^2+17 is concave down for which interval? A) x<0 B) x>0 C) x<-2 or x>-2/5 D) x<2/5 or x>2 E) 2/5 < x < 2 I know you take the second derivative...but I keep getting stuck with something that won't factor right?
Monday, December 9, 2013 at 5:10pm

Calculus
If x^2=25-y^2, what is the value of [(d^2)(y)]/(dx^2) at the point (3,4)?
Monday, December 9, 2013 at 4:54pm

calculus
the tangent line to the curve y=x^2 at the point (a,a^2) passes through the point (2,1) find all possible values of a. Thank you so much!!
Monday, December 9, 2013 at 4:28pm

CALCULUS!!!!!
At 9am, ship B was 65 miles due east of another ship, A. Ship B was then sailing due west at 10 miles per hour, and A was sailing due south at 15 miles per hour. If they continue their respective courses, when will they be nearest one another?
Monday, December 9, 2013 at 6:44am

Differential Calculus
At 9am ship B is 65 miles due east of another ship A. Ship B is then sailing due west at 10mi/h and A is sailing due south at 15 mi/hr if they continue in their respective course when will they be nearest to one another? and how near?
Monday, December 9, 2013 at 6:05am

Pre calculus
Why is it dangerous to use the law of sines to find an angle but is not dangerous to use the law of cosines? Please explain this thoroughly.
Sunday, December 8, 2013 at 10:00pm

calculus
a farmer wants to make a rectangular pen from 200 feet of fencing. he plans to use a 100 foot wall along with some of the fencing to make one side of the pen. find the dimensions of the pen that will make the enclosed area as large as possible.
Sunday, December 8, 2013 at 9:17pm

Calculus PLEASE HELP
Given that C(x)=2x^3-21x^2+36x+1000 is a cost function, determine the intervals for which the cost is increasing. Determine any intervals for which the marginal cost is increasing. Marginal cost is when you derive the cost function, correct? So do you do the second derivative ...
Saturday, December 7, 2013 at 6:23pm

Calculus
Given that C(x)=2x^3-21x^2+36x+1000 is a cost function, determine the intervals for which the cost is increasing. Determine any intervals for which the marginal cost is increasing. Marginal cost is when you derive the cost function, correct? So do you do the second derivative ...
Saturday, December 7, 2013 at 4:01pm

Calculus
Using the equations R(x)=-x^2+400x and C(x)=x^2+40x+100, find the Maximum Revenue
Saturday, December 7, 2013 at 2:43pm

Calculus (check my work)
Find the marginal revenue at x=10 using the equation R(x)=-x^2+80x Is the answer 60?
Saturday, December 7, 2013 at 2:04pm

Calculus
Find the maximum revenue using the following equations: R(x)=-x^2 +400x and C(x)=x^2+40x+100. What I've done so far is use R(x) and solve for x, which got me 0 and 400. Is that how you're supposed to start it? What happens next? (I apologize; I'm really bad at ...
Saturday, December 7, 2013 at 1:38pm

Calculus
Check my work? The equations given were R(x)=-x^2+400x and C(x)=x^2+40x+100. We were asked to find the maximum profit and minimum average cost. (I'm having trouble remembering how to find a minimum and maximum, so please help with that, if you can!) For Max Profit, I got $...
Saturday, December 7, 2013 at 12:31pm

Calculus
How do you find maximum revenue, maximum profit, and minimum average cost? Our teacher gave us a project to teach ourselves the section, but I can't learn very well even with her teaching, so I don't know how I'm supposed to do this...
Saturday, December 7, 2013 at 11:39am

Calculus
Consider the function f(x)=2x+6x^(-1). For this function, there are three numbers A<B<C which are either critical or not in the domain of the function. A= B= C=
Saturday, December 7, 2013 at 12:36am

calculus
find the area of y=x sqrt(x^2+16), bound by the x-axis and the vertical line x=3 I got 22.5 is that correct?
Saturday, December 7, 2013 at 12:07am

Pre-Calculus
Solve the equation 2x + 5y - 3z = -1. Write the general solution as a matrix equation. I did some guessing and ended up getting this much: [x]= [-1/2 _ _ ] X [1] [y]= [ 0 1 0 ] X [s] [z]= [ 0 0 1 ] X [t] however I still can't figure out the last two values in the first row
Friday, December 6, 2013 at 7:39pm

Pre-Calculus
Solve the equation 2x + 5y - 3z = -1. Write the general solution as a matrix equation. [x] [ ] [1] [y]= [ ] X [s] [z] [ ] [t] I'm supposed to fill in that blank in the middle, but I don't understand how to solve this if I'm only given one equation. please explain
Friday, December 6, 2013 at 1:28am

Pre-Calculus
convert to the alternate form to exponential form. a) 5^4=625 b) e^x=y c) log.001=x I really need help on these problems i have no idea how to do it? pls help me i need to study for it on my exam.
Friday, December 6, 2013 at 1:25am

Math - Calculus I
Optimization Problem: Find the dimensions of the right circular cylinder of greatest volume inscribed in a right circular cone of radius 10" and height 24"
Thursday, December 5, 2013 at 9:36pm

Calculus
In the interval (0 is less than or equal to x which is less than or equal to 5), the graphs of y=cos(2x) and y=sin(3x) intersect four times. Let A, B, C, and D be the x-coordinates of these points so that 0<A<B<C<D<5. Which of the definite integrals below ...
Thursday, December 5, 2013 at 8:05pm

Calculus
What is the integral of (x*f(x))dx?
Thursday, December 5, 2013 at 6:40pm

Calculus
I'm a little confused with this integration problem: If the definite integral from 0 to 2 of (e^(x^2)) is first approximated by using two inscribed rectangles of equal width and then approximated by using the trapezoidal rule with n=2, the difference between the two ...
Thursday, December 5, 2013 at 5:05pm

Pre-Calculus
Consider the chemical reaction aC2H6 + bCO2 + cH2O → dC2H5OH, where a, b, c, and d are unknown positive integers.? The reaction must be balanced; that is, the number of atoms of each element must be the same before and after the reaction. For example, because the number ...
Wednesday, December 4, 2013 at 9:25pm

Calculus
Let R be the region bounded by the curve x=9y-y^2 and the y- axis. Find the volume of the solid resulting from revolving R about the line y= -6. I believe the integral limits are from y=0 to y-9 i set up h(x) = 9y-y^2 r(x) = y+6 I am not sure if this is correct Can anyone help...
Wednesday, December 4, 2013 at 9:18pm

calculus
let f:[0,1] - [0,1] be continuous function .show that there exist a in [0,1] such that f(a)=a
Wednesday, December 4, 2013 at 5:30pm

Calculus I don't understand
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y = 10 x and y = 5 x^2 about y =0 Find the volume of the solid obtained by rotating the region bounded by y=8 x^2, x = 1, and y = 0 , about the x-axis. I saw some...
Wednesday, December 4, 2013 at 2:53pm

Calculus volume stuff
Find the volume of the solid obtained by rotating the region bounded y = 16 x and y = 2 x^2 about y =0 Find the volume of the solid obtained by rotating the region bounded about the x-axis by y=4x^2, x =1, and y = 0 Find the volume of the solid generated by rotating the region...
Wednesday, December 4, 2013 at 2:27pm

CALCULUS MAJOR HELP!!!!!!
Find the volume of the solid obtained by rotating the region bounded y = 16 x and y = 2 x^2 about y =0 Find the volume of the solid obtained by rotating the region bounded about the x-axis by y=4x^2, x =1, and y = 0 Find the volume of the solid generated by rotating the region...
Wednesday, December 4, 2013 at 12:56pm

Calculus
The first boat is sailing towards the North at the speed of 6 km per hour and sees that another boat is heading east at the speed of 5 km per hour. The second boat is to the northwest of the first boat. what is the minimum distance between two boats, assuming that they do not ...
Tuesday, December 3, 2013 at 8:35pm

calculus
(x/y)-x^2 =1 implicit ?
Tuesday, December 3, 2013 at 3:23pm

Calculus
Evaluate cos[2arctan(2)] Need step by step for this one. Thanks
Tuesday, December 3, 2013 at 3:20pm

calculus
A display case is in the shape of a rectangular box with a square base. Suppose the volume is 21 cubic ft and it costs $1 per square ft. to build the glass top and $0.50 per sq. ft. to build the sides and base. If x is the length of one side of the base, what value should x ...
Tuesday, December 3, 2013 at 12:09pm

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