Tuesday
July 22, 2014

# Homework Help: Math: Calculus

Calculus 1
a rectangular storage area is to be constructed along the sides of a tall building. A security fence is required along the three remaining sides of the area. What is the maximum area that can be enclosed with 1000m fencing?
Tuesday, May 20, 2014 at 12:26pm

Calculus
Evaluate the integral of 4x^2(2+x^3)^9 dx. I'm supposed to use the substitution rule but I have absolutely no idea where to start with this problem.
Tuesday, May 20, 2014 at 9:50am

Calculus
I did an experiment where I had to measure how fast water flowed out of a container at different times and with different volumes. I also had to record the values into a table and graph them. (I got an exponential function). I am to answer the following questions and I do not ...
Tuesday, May 20, 2014 at 2:56am

A brand new stock is also called an initial public offering. This model predicts the percent overvaluation of a stock as R(t)=9t((t-3)^3/2.718) where is the overvaluation in percent and t is the time in months after the initial issue. Use the information provided by the first ...
Monday, May 19, 2014 at 10:50pm

Calculus
An inverted conical tank is 3m tall and 1m in diameter at its widest point. The water is being pumped out of a spout 2m above the top of the tank. Recall that the density of water is  = 1000kg/m^3 (a) Find the work needed to empty the tank if it is full. Include units. (b...
Monday, May 19, 2014 at 10:10pm

Calculus
Solve the differential equation dy/dx=3x^2y^2 with the condition that y(1)=4. I know that y= -1/(x^3 + c) but what do I do with the y(1)=4 part?
Sunday, May 18, 2014 at 9:30pm

Calculus
The marginal revenue for x items in dollars is given by R′(x)=−4.5x+6. Determine (a) the revenue function and (b) the demand function. I know the revenue function is R(x)=6x-2.25x^2 just by finding the antiderivative. demand = revenue - cost, but how do I even find...
Sunday, May 18, 2014 at 9:08pm

Calculus
Find f(x) if f′(x)=(−3)⋅x+(−1​) and f(−4)=−1. I know if you find the antiderivative of f'(x) it is -3x^2/2 - x + c but what do I do next to find the function f(x)?
Sunday, May 18, 2014 at 8:18pm

Calculus
The rate at which an item depreciates is proportional to its value at that instant. If an item is presently values at $70,000 and 10 months later it is valued at$22,222, when in years will it be valued at $19,999? I'm not sure what formula to use... Sunday, May 18, 2014 at 7:20pm Calculus An inverted conical tank is 3m tall and 1m in diameter at its widest point. The water is being pumped out of a spout 2m above the top of the tank. Recall that the density of water is  = 1000kg/m^3 (a) Find the work needed to empty the tank if it is full. Include units. (b... Sunday, May 18, 2014 at 6:42pm Calculus How long must 4500 dollars be left on deposit at 8 percent compounded quarterly to reach a total accumulation of 15825 dollars? I did A=P(1+ r/n)^nt so I got 15825 = 4500 ( 1 + 0.08/4)^4t, and got t = 3.24886 years...am I even using the right formula? Sunday, May 18, 2014 at 5:56pm Calculus Solve for x log(base6)(x+3)−log(base6)(x−​;5)=2. I tried to factor out the log(base6) and got (x+3)^x/(x-5)=2, but I don't know how to solve that... Sunday, May 18, 2014 at 5:14pm Calculus Find A so that 5log(base5)16807 − 3log(base5)7 = log (base5)A I don't even know how to start this one...should I remove the 5 and 3 in front of the logs? Sunday, May 18, 2014 at 4:49pm Calculus Using log2=.3010 and log5=.6990 compute log2000000. 100000/5 = 20000 so I just did 20000*.699 = 13980 and then added .301 which equals 13980.3 ^I know that was wrong Sunday, May 18, 2014 at 4:33pm Calculus Use the Laws of logarithms to rewrite the expression log(1000000x^19)in a form with no logarithm of a product, quotient or power. After rewriting we have log(1000000x^19)= A + Blog(x)? I know B = 19, but what's A? Sunday, May 18, 2014 at 3:57pm Calculus f(x)=[3x^13]e^(−7x) On which intervals is the function concave up and concave down? I know when you find the 2nd derivative, the x-values are 0, 1.34206, and 2.37222, and that the 2nd derivative > 0 at x=1.34205 and < 0 at 2.37222. How does this tell me the ... Sunday, May 18, 2014 at 4:16am calculus Consider the motion of a particle of mass m falling vertically under the earth’s gravitational field, and suppose the downward motion is opposed by a frictional force p(v) dependent on the velocity v(t) of the particle. Then the velocity satisfies the equation mv0(t) = &#... Sunday, May 18, 2014 at 3:29am Calculus A brand new stock is also called an initial public offering. In this model, the period immediately after the stock is issued offers excess returns on the stock—that is, the stock is selling for more than it is really worth. One such model predicts the percent ... Saturday, May 17, 2014 at 11:53pm Calculus A brand new stock is also called an initial public offering. In this model, the period immediately after the stock is issued offers excess returns on the stock—that is, the stock is selling for more than it is really worth. One such model predicts the percent ... Saturday, May 17, 2014 at 5:51am Calculus The quantity Q of radioactive carbon remaining in a 200-gram wood sample at time t is given by the expression Q(t)=200e^(−0.000225⋅t). How much radioactive carbon remains in the sample after 100500 years? I just plugged in 100500 as t and got 3.02375 grams as an ... Saturday, May 17, 2014 at 2:10am Calculus determine f" if f(x)=sqrt(x^3+2) Friday, May 16, 2014 at 12:49am Calculus If f(x1)>f(x2) for every x1>x2 then what is the behaviour of f(x)? Friday, May 16, 2014 at 12:44am Calculus If f(x1)>f(x2) for every x1>x2, then what is the behaviour of f(x)? I believe that the answer is that f(x) is increasing but I do not know how to show my work for that Thursday, May 15, 2014 at 6:23pm Calculus A movie theater wants to determine the price per ticket that should be charged in order to maximize its revenue. The theater can accommodate 2000 movie goers per night, but the average attendance is about 1400 people per night. The average ticket price is about$8.00. Market ...
Thursday, May 15, 2014 at 6:20pm

Calculus
How do you find the derivative of y=sinxtan^3(x)?
Wednesday, May 14, 2014 at 10:48pm

Calculus
How do you find the derivative of y=tan^2(x^4)?
Wednesday, May 14, 2014 at 6:44pm

Calculus
How do you find the derivative of f(x)=sin2x/cos2x
Wednesday, May 14, 2014 at 2:06pm

Calculus
How do you find the derivative of y=5sin(-x)
Tuesday, May 13, 2014 at 7:53pm

Calculus
Let R be the region enclosed by the graphs y=e^x, y=x^3, and the y axis. A.) find R B.) find the volume of the solid with base on region R and cross section perpendicular to the x axis. The cross sections are triangles with height equal to 3 times the length of their base.
Tuesday, May 13, 2014 at 1:12pm

Find maxima and minima and points of inflection. f(x) = 2x^3 - 3x^2 -36x +100 on the interval [-6,4]
Tuesday, May 13, 2014 at 11:13am

Calculus
(i) A 20m chain with a mass-density of 3kg/m (coiled on the ground). How much work is performed lifting the chain so that it is fully extended (and one end touches the ground)? (ii) How much work is performed to lift 1/4 of the chain?
Monday, May 12, 2014 at 11:01pm

Calculus
(i) A 20m chain with a mass-density of 3kg/m (coiled on the ground). How much work is performed lifting the chain so that it is fully extended (and one end touches the ground)? (ii) How much work is performed to lift 1/4 of the chain?
Monday, May 12, 2014 at 9:12pm

Calculus
Farmer Jones has 480 feet of fence. She wishes to construct a rectangular pen divided into five separate pens, with one of the pens twice as large as each of the other four (see figure). She must use part of her 480 feet of fencing material to make the partitions. What should ...
Monday, May 12, 2014 at 4:59pm

Calculus
For the parabola y^2=4px, where p, the focal length, is a constant, the focal point, f(p,0), is on the x-axis. Point S is 10 units from the point F and the segment SF makes a 60degree angle with the x-axis. The slope of segment TF is twice the negative of the slope of the ...
Sunday, May 11, 2014 at 11:30am

Calculus
Given f'(x)=9/2x(3x^2+2)^1/2 (this is the derivative of y= sqrt[(3x^2+2)^3]) , state any values of x for which the function is not differentiable
Saturday, May 10, 2014 at 7:15pm

calculus
find the volume of solid inside the paraboloid z=9-x^2-y^2, outside the cylinder x^2+y^2=4 and above the xy-plane 1) solve using double integration of rectangular coordinate. 2) solve using double integration of polar coordinate 3)solve using triple intergation
Saturday, May 10, 2014 at 7:05pm

calculus
find the volume of solid inside the paraboloid z=9-x^2-y^2, outside the cylinder x^2+y^2=4 and above the xy-plane
Saturday, May 10, 2014 at 6:44am

Math (Calculus)
Determine the area of the region y=e^x,y=x^3
Friday, May 9, 2014 at 11:50pm

Math (Calculus)
Use the disc method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the indicated line. y=x^3, y=0, x=2 a)the x-axis b)the line x=4
Friday, May 9, 2014 at 11:04pm

Deermine the derivative of f(x)=[(3x^2+1)^3+1]^2. Express your answer in simplified form. For this I got 54x^6+162x^5+54x^4+108x^3+18x^2+18x+2
Friday, May 9, 2014 at 10:41pm

Evaluate the indefinite integral Note: Use an upper-case "C" for the constant of integration. integral sqrt(100x^2-400)/x dx Ty
Friday, May 9, 2014 at 10:19pm

Calculus
If y=u^3+u^2-1, where u=1/(1-x), determine dy/dx at x=2
Friday, May 9, 2014 at 9:21pm

Calculus
1.a)Determine dy/dx if y= sqrt[(3x^2+2)^3] For this question, I got 9/2x(3x^2+2)^1/2 as my answer. b)State any values of x for which the function is not differentiable
Friday, May 9, 2014 at 9:12pm

Calculus
1. If y′= x(1+ y) and y > -1 , then y= A) y=sinx B) y=3x^2+C << C) y=Ce^1/2x^2-1 D) y=1/2e^x^2+C E) y=Csq(x+3) 2. If dy/dx = x cos x^2 and y = −3 when x = 0, when x = π, y = ___. A) -3.215 B) √2 << C) 1.647 D) 6 E) 3π 3. Suppose an ...
Friday, May 9, 2014 at 7:23pm

Calculus
Let s(t)=-5t^2+40t be the position equation for a rock thrown upwards. At what time t, in seconds, will the rock change directions?
Friday, May 9, 2014 at 7:16pm

1. Determine the slope of the tangent to the graph of y=4/x at (1,4) my answer is -4 2.What is the slope of the line perpendicular to y=(x-2)/(x+2) at (2,0) my answer is -4 3. For which value of x is the derivative of f(x)=(x-1)^10(x+2)^5 equal to 0? my answer is 1
Friday, May 9, 2014 at 6:37pm

Determine the slope of the tangent line to the curve y=(x^2+3x)(x^2-2) at x=-1. I got 3 as my answer although I am not too sure that it's correct. I found the derivative of the function and then substituted -1 into the equation.
Friday, May 9, 2014 at 5:56pm

Starting from rest, a man runs 10 metres along a straight path in t seconds. His position can be described by the function s(t)=0.7t^2. How long will it take him to reach the velocity of 4m/s? would the answer be 5.6 s? I started with s(t)=0.7t^2, then the velocity is 7/5t and...
Friday, May 9, 2014 at 4:41pm

Calculus
1) yy'-e^x= 0, and y=4 when x=0 means that: A)y=x-lnx^2+4 B)y^2=4x^2+3 C)y=-2x+1/2x^3 D)y^2=2e^x+14 E)1/2ln|x^2+4|+6 2) The rate of change of P with respect to t is directly proportional to (10-t) and inversely proportional to the cube root of P. The differential equation ...
Friday, May 9, 2014 at 1:59pm

Calculus
write the equation of line tangent to f(x)=(1/3x^3)-x^2+x-1 when x=1
Friday, May 9, 2014 at 12:53am

Math (Calculus)
Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the y-axis. y=4-x^2, y=0
Thursday, May 8, 2014 at 10:55pm

Math (Calculus)
Use the shell method to find the volume of the solid generated by revolving the plane region about the indicated line. y=4x-x^2, y=0, about the line x=5
Thursday, May 8, 2014 at 10:53pm

Math (Calculus)
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the y-axis. (Use Disc Method) y=3(2-x), y=0, x=0
Thursday, May 8, 2014 at 10:52pm

Calculus
Which of the following is a separable, first-order differential equation? A) dy/dx= x+y/2x B) dy/dx=x+y/x-y C) dy/dx=sinx << D) dy/dx=xy/x+y E) dy/dx= 2lnxy 2) The differential equation dy/dx=y/x^2 has a solution given by: A) y=C sqrt(x^2+4) B)y=C e^-1/x C)-1/2ex^2+C D) ...
Thursday, May 8, 2014 at 9:20pm

calculus help
Evaluate!!!! integral -10 to 10 ((2e^x)/(sinhx+coshx))dx Thanks!
Thursday, May 8, 2014 at 12:32am

Calculus
HELP....last question SOS HELP Consider the statement lim X-->1 X©ø-6X©÷+11X-6 / x-1 = 2 USING THE DEFINITIONS OF THE LIMIT STATE WHAT MUST BE TRUE FOR THE ABOVE LIMIT TO HOLD, THAT IS, FOR EVERY ¡¦, THERE IS ..., SO THAT¡¦...
Wednesday, May 7, 2014 at 8:51pm

Calculus, Riemann
IF ANYONE CAN PLEAAAASEEEE HELP ME Use the Riemann sum definition of the definite integral to show that b 3 ¡ò x©÷dx - b©ø -a©ø a Here, for simplicity, we assume b > a > 0. Be sure to clearly specify your mesh/grid xi, , ...
Wednesday, May 7, 2014 at 8:27pm

calculus
Find the interval of convergence of the series. ∑(sinx/10)^n
Wednesday, May 7, 2014 at 7:34pm

Calculus
How much should be deposited into an account today if it is to accumulate to $32400 in 30 years if the account bears interest at 8.01% compounded monthly? I did A = 32400(1 + 0.0801/12)^(12*30) =$355,375, but that's wrong...
Wednesday, May 7, 2014 at 5:35pm

calculus help
Find the derivative of the function. y = integral from cosx to sinx (ln(8+3v)) dv lower limit = cosx upper limit = sinx y'(x) = ????
Wednesday, May 7, 2014 at 4:48pm

Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places. integral from o to pi/2 (2cos^3(x))dx , n = 4 M4 = ?????? Thanks!!!
Wednesday, May 7, 2014 at 4:43pm

Calculus (lim)
consider the statement lim x³-6x²+11x-6 / x-1 = 2 x->1 Using the definition of the limit, state what must be true for the above limit to hold, that is, for every ..., there is ..., so that.... Use a specific function and limit not just f and L.  Verify the ...
Wednesday, May 7, 2014 at 1:25pm

Calculus Riemann sum definition etc
I am totally stumped... PLEASE if anyone can help we are going nuts...lol Use the Rieman sum definition of the definite integral to show that 3¡ò(there is a little "b" at top and little "a" at bottom 3¡ò x©÷dx = b©...
Wednesday, May 7, 2014 at 1:06pm

Calculus
SOS...help!!! please email me at 969e221 at g mail. com here is the question: Find the trapezoid of largest area that can be inscribed in the upper half of the ellipse x2/9 + y2/4 = 1 where the lower base of the trapezoid is on the x-axis and is 6 units long. I need to graph ...
Wednesday, May 7, 2014 at 12:02pm

A field is bound on one side by a river. A farmer wants to enclose the other three sides of the field with fence in order to create a rectangular plot of land for his cows. If the farmer has 400m of fence to work with, determine the maximum possible area of the field and the ...
Wednesday, May 7, 2014 at 11:40am

calculus
Determine whether the given series converges or diverges, and find the sum if it converges. I dont understand, help!! Thnx! 1) 20+5+(5/4)+(5/16)+...
Wednesday, May 7, 2014 at 1:13am

calculus
Compute the limit of the partial sums to determine whether the series converges or diverges. 1)6 + 4 - 4 + 4 - 4 + 4 - 4 +...
Wednesday, May 7, 2014 at 1:10am

Calculus
The region R is bounded by the x-axis, x = 1, x = 3, and y = 1/x^3 A) Find the area of R B) B. Find the value of h, such that the vertical line x = h divides the region R into two Regions of equal area.
Tuesday, May 6, 2014 at 3:22pm

Calculus
Poli 761 (a fictitious substance) decays by about 7% every day. How much of a 88 pound sample remains after 9 days?
Tuesday, May 6, 2014 at 2:22pm

calculus help
Evaluate integral from -10 to 10 of ((2e^x)/(sinhx+coshx)dt) Show steps please Thanks!
Tuesday, May 6, 2014 at 11:42am

calculus help
find derivative of integral( t sint dt) upper limit 1+2x, lower limit 1-2x Show step by step please! Thank you
Tuesday, May 6, 2014 at 11:37am

Calculus
Can someone check my answer? The change in the momentum of an object (Δ p) is given by the force, F, acting on the object multiplied by the time interval that the force was acting: Δ p = F Δt . If the force (in newtons) acting on a particular object is given by ...
Monday, May 5, 2014 at 1:47pm

pre calculus
a gun with a muzzle velocity of 1200 feet per second is fired at an angle of 6 degrees above the horizontal. find the component form of a vector. verify the magnitude
Monday, May 5, 2014 at 10:58am

Calculus
Why does 2ln6 - 2ln3 = ln4?
Monday, May 5, 2014 at 12:28am

Ethics in Criminal Justice
Which of the following, according to Carl Klockars, is NOT an important consideration in determining whether the good ends of police work justify immoral means in a given scenario? A. Are there other, non-dirty, means that may be effective but that we may be overlooking? B. ...
Sunday, May 4, 2014 at 12:16pm

Calculus Help
Set up an integral for the volume a solid torus (the donut-shaped solid shown in the figure) with radii br and aR. (Let a = 6 and b = 4.) By interpreting the integral as an area, find the volume V of the torus.
Saturday, May 3, 2014 at 10:23pm

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 5x^2, y = 5x, x ≥ 0; about the x-axis V = ??? Sketch the region
Saturday, May 3, 2014 at 9:19pm

calculus help
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. x = 4(square root of (3y)), x = 0, y = 3; about the y-axis V=?????
Saturday, May 3, 2014 at 9:16pm

calculus help
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 4 − 1/2x, y = 0, x = 0, x = 1; about the x-axis V = ????
Saturday, May 3, 2014 at 9:11pm

Pre Calculus
Determine an approximate solution to the inequality 2^x=x^2.
Saturday, May 3, 2014 at 2:49pm

Pre Calculus
Solve the inequality sinx>square root x.
Saturday, May 3, 2014 at 2:47pm

Calculus
he rate of growth of the profit from an invention is approximated by P'(x)=xe^-x^2, where x represents time measured in years. The total profit in year 1 that the invention is in operation is $15,000. Find the total profit function. I know the answer is +.199 but how? I ... Friday, May 2, 2014 at 10:37am Physics/Calculus It takes a force of 21,714lb to compress a coil spring assembly on a New York City Transit Authority subway car from its height of 8in to its fully compressed height of 5in. A. What is the assemblys force constant? B. How much work does it take to compress the assembly the ... Friday, May 2, 2014 at 9:43am Calculus An electric elevator cable with a motor at the top has a multistrand cable weighing 4.5lb/ft. When the car is at the first floor, 180ft of cable are pulled out, and effectively 0ft are out when the car is at the top floor. How much work does the motor do just lifting the cable... Friday, May 2, 2014 at 9:41am Calculus/Physics A spring has a natural length of 10in. An 800lb force stretches the spring to 14in. A. Find the force constant B. How much work is done in stretching the spring from 10 to 12 inches? C. How far beyond its natural length will a 1600lb force stretch the spring. Friday, May 2, 2014 at 9:39am Calculus/Physics It took 1800J of work to stretch a spring from its natural length of 2m to a length of 5m. Find the spring's force constant. Friday, May 2, 2014 at 9:38am Calculus Consider the differential equation dy/dx=xy-y. Find d^2y/dx^2 in terms of x and y. Describe the region in the xy plane in which all solutions curves to the differential equation are concave down. Thursday, May 1, 2014 at 10:44pm Calculus Help and Check find the derivative of the function integral from cosx to sinx (ln(8+3v)dv) y'(x)= (sin(8+3((sin(x)))+x)+sin(8+3sin(x)-x))/​2 Is this the right answer????? Thursday, May 1, 2014 at 8:49pm calculus help use the midpoint rule with the given value of n to approximate the integral. round the answer to four decimal places. integral 0 to pi/2 2cos^3(x)dx, n=4 M4=???? Thursday, May 1, 2014 at 8:44pm calculus help find the derivative of the function integral from cosx to sinx (ln(8+3v)dv) Thursday, May 1, 2014 at 8:03pm Calculus Help Please Urgent!!! Breathing is cyclic and a full respiratory cycle from the beginning of inhalation to the end of exhalation takes about 3 s. The maximum rate of air flow into the lungs is about 0.3 L/s. This explains, in part, why the function f(t) = (3/10)sin(2πt/3) has often been used ... Thursday, May 1, 2014 at 7:27pm calculus help find the derivative of the function. integral cos(x) to sin(x) ((ln(8+3v))dv) Thursday, May 1, 2014 at 6:50pm Calculus Help Find the values of c such that the area of the region bounded by the parabolas y = 4x^2 − c^2 and y = c^2 − 4x^2 is 256/3. (Enter your answers as a comma-separated list.) Thursday, May 1, 2014 at 5:39pm Calculus Help Use calculus to find the area A of the triangle with the given vertices. (0, 0), (3, 1), (1, 8) A = ???? Thursday, May 1, 2014 at 5:24pm pre calculus 4+7i divided by 2 (problem is written as a fraction) 4+7i _________ 2 Thursday, May 1, 2014 at 2:06am calculus 1 find the cubic function,f(x)=ax^3+bx^2+cx^d , has local maximum value of 3, at x=-2 and local minimum value of 0, at x=1. Thursday, May 1, 2014 at 1:44am pre calculus Express statement as an equation. Use the given information to find the constant proportionality z varies inversely as t. If t  3, then z  5. Thursday, May 1, 2014 at 1:28am pre calculus You have a$50 coupon from the manufacturer good for the purchase of a cell phone. The store where you are purchasing your cell phone is offering a 20% discount on all cell phones. Let x represent the regular price of the cell phone. (a) Suppose only the 20% discount applies. ...
Thursday, May 1, 2014 at 1:12am

Calculus
A fence 8 feet tall runs parallel to a tall building at a distance of 6 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
Wednesday, April 30, 2014 at 11:16pm

Calculus
Find the point P on the graph of the function y=\sqrt{x} closest to the point (2,0)
Wednesday, April 30, 2014 at 8:27pm

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