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September 30, 2016

Homework Help: Math: Calculus

Recent Homework Questions About Calculus

Calculus
Use the Left and Right Riemann Sums with 80 rectangle to estimate the (signed) area under the curve of y=e^(3x)−5 on the interval of [10,20]. Write your answer using the sigma notation
Friday, November 13, 2015 by Mark

Calculus 1
Use Newton's method to find the coordinates, correct to six decimal places, of the point on the parabola y = (x − 5)^2 that is closest to the origin.
Friday, November 13, 2015 by TayB

Calculus 1
Use Newton's method to find all roots of the equation correct to six decimal places. (Enter your answers as a comma-separated list.) 7/x = 1 + x^3
Friday, November 13, 2015 by TayB

Calculus 1
Use Newton's method to find the coordinates, correct to six decimal places, of the point on the parabola y = (x − 5)^2 that is closest to the origin.
Friday, November 13, 2015 by TayB

Calculus 1
Of the infinitely many lines that are tangent to the curve y = −4 sin x and pass through the origin, there is one that has the largest slope. Use Newton's method to find the slope of that line correct to six decimal places.
Friday, November 13, 2015 by TayB

Pre-Calculus
1) For tax purposes a manufacturer is allowed to depreciate the value of a machine by 10% each year. If the original value of the machine was $10,000, what would be its value for tax purposes at the end of 6 years. (Assume the depreciation is computed at the end of each year...
Thursday, November 12, 2015 by Anon

Integral Calculus - Series
Find if series is convergent or divergent. Series from n=2 to infinity (4n+7)/(3n^3 -8n)
Thursday, November 12, 2015 by John

Calculus 1
Of the infinitely many lines that are tangent to the curve y = −4 sin x and pass through the origin, there is one that has the largest slope. Use Newton's method to find the slope of that line correct to six decimal places.
Thursday, November 12, 2015 by TayB

Calculus
Find the area of the unbounded shaded region. Y= 7/ SQRT (7-X)
Thursday, November 12, 2015 by akash

Calculus
A professional athlete signs a four-year contract in which the earnings can be modeled by c = 300,000 + 750,000t, where t represents the year. (a) Find the actual value of the athlete's contract. =7200000 (b) Assuming an annual inflation rate of 4%, what is the present ...
Thursday, November 12, 2015 by akash

Calculus
Find the area of the unbounded shaded region. Y= 7/ SQRT 7-X
Thursday, November 12, 2015 by Please Help Me !

Calculus
A professional athlete signs a four-year contract in which the earnings can be modeled by c = 300,000 + 750,000t, where t represents the year. (a) Find the actual value of the athlete's contract. =7200000 (b) Assuming an annual inflation rate of 4%, what is the present ...
Thursday, November 12, 2015 by Calculus Help

Calculus
A professional athlete signs a four-year contract in which the earnings can be modeled by c = 300,000 + 750,000t, where t represents the year. (a) Find the actual value of the athlete's contract. (b) Assuming an annual inflation rate of 4%, what is the present value of the...
Thursday, November 12, 2015 by Calculus Help

Calculus
Use integration by parts to evaluate the definite integral. S 12 x/sqrt of x+4 dx 0
Thursday, November 12, 2015 by Justin

Calculus 1
Use Newton's method to find all roots of the equation correct to six decimal places. (Enter your answers as a comma-separated list.) (x − 9)^2 =ln x
Thursday, November 12, 2015 by TayB

Calculus 1
Use Newton's method with initial approximation x1 = −2 to find x2, the second approximation to the root of the equation x^3 + x + 1 = 0. *I got -1.307692 for my answer but it said that was wrong, so then I tried rounding it to two decimal places and got -1.31 and ...
Thursday, November 12, 2015 by TayB

Calculus 1
A piece of wire 23 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. (a) How much wire should be used for the square in order to maximize the total area? (b) How much wire should be used for the square in order ...
Wednesday, November 11, 2015 by TayB

Calculus
Evaluate using Integration by Parts. x^2 cos(3x) dx
Wednesday, November 11, 2015 by Anonymous

Pre-Calculus
A parallelogram has adjacent sides 7 cm and 15 cm. If the shorter diagonal is 10 cm long, find the length of the longer diagonal.
Tuesday, November 10, 2015 by starmario12

Calculus
Evaluate the definite integral using the properties of even and odd functions. S 2 (1/2 t^4+3)dt -2
Tuesday, November 10, 2015 by Please Help

pre-Calculus
Evaluate the definite integral using the properties of even and odd functions. S 2 (1/2 t^4+3)dt -2
Tuesday, November 10, 2015 by Calculus Help

Calculus
The marginal cost of a product is modeled by dC/dx =12/Cube root (12x+5) where x is the number of units. When x = 13, C = 160. (a) Find the cost function. (Round your constant term to two decimal places.) C= Ans- 3/2(12x+5)^2/3 +115.61 ???? (b) Find the cost of producing 70 ...
Tuesday, November 10, 2015 by akash

Calculus
Find the local maximum and local minimum of the function. f(x) = x^3 − 12x^2 − 27x + 7
Monday, November 9, 2015 by Callie

Calculus-antiderivative
Find f. f ''(θ) = sin θ + cos θ, f(0) = 5, f '(0) = 3 My steps: f'(θ)=cosθ-sinθ+C When f'(0)=3, C=-2, so f'(θ)=cosθ-sinθ-2. f(θ)=-sinθ-cosθ-2x+D When f(0)=5, D=6, so f is -sinθ-cosθ-...
Monday, November 9, 2015 by Callie

Calculus
Find the critical numbers of the function. (Use n to denote any arbitrary integer values.) f(θ) = 12 cos θ + 6 sin2θ My answer was pi/2 and 3pi/2, but those were wrong. I don't understand the 'n' part, either.
Monday, November 9, 2015 by Callie

Calculus
How do you integrate 2x^5 • e^x^2 ? I would say that this cannot be evaluated because the answer is more complicated than the original problem. Am I correct? Or is it doable?
Monday, November 9, 2015 by Rucha

Calculus
Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 17 + 4x − x^2, [0, 5] I got -13 and 17, but the answers were wrong. Take the derivative for the critical values, right? To get 2 as a critical value. What from there?
Monday, November 9, 2015 by Callie

Calculus
The rate of growth dP/ dt of a population of bacteria is proportional to the square root of t with a constant coefficient of 9, where P is the population size and t is the time in days (0¡Üt¡Ü10). The initial size of the population is 700. Approximate the...
Monday, November 9, 2015 by Beth

calculus
use symmetry to evaluate the double integral (1+x^2siny+y^2sinx)dA, R=[-pi,pi]x[-pi,pi]. let g(x) and h(y) be two functions: int(c to d)int(a to b)(g(x,y)+h(x,y))dxdy=int(c to d)int(a to b)g(x,y)dxdy+int(c to d)int(a to b)h(x,y)dxdy
Monday, November 9, 2015 by Inna

Calculus
how do you solve this trig identity? i don't get it at all! cos(a+b)cos(a-b)=cos^2a-cos^2b-1
Monday, November 9, 2015 by sakura

Calculus
Find the lim x→∞ of (ln(x))^2)/x using L'hospital's rule. I got - infinity when I did this, but I think I was looking at the numerator wrong when I took the derivative.
Sunday, November 8, 2015 by Callie

Calculus
Find the volume of the solid obtained by rotating the region under the graph of f(x)= 9-x^2 for 0<= x<=3 about the vertical axis x= -2. My answer: 81 pi/2
Sunday, November 8, 2015 by Rucha

Pre-Calculus
Two lookout towers are situated on mountain tops A and B, 4 mi from each other. A helicopter firefighting team is located in a valley at point C, 3 mi from A and 2 mi from B. Using the line between A and B as a reference, a lookout spots a fire at an angle of α = 42° ...
Sunday, November 8, 2015 by Samantha

Calculus
Find the area of the region between the graphs of f(x)=3x+8 and g(x)=x^2 +2x+2 over [0,2]. My answer: 34/3
Sunday, November 8, 2015 by Rucha

calculus
assume x and y are functions of t. Evaluate dy/dt for 2xy--4x/3y^3=48, with conditions dx/dt=-6,x=3, y=-2
Sunday, November 8, 2015 by faye

Calculus
Consider a sphere container with radius R. 1. Suppose it is filled to height h, below halfway, with water. Find the volume of the water. 2. What is the proportion of the sphere's total volume taken up by the water filled as described in problem #1? 3. Suppose it us filled ...
Saturday, November 7, 2015 by Anonymous

Calculus-Reiny
Yay! Reiny, you read the description of f(x) correctly. Recall the problem posted earlier: Let f(x)= abs of negative abs of x + pi/2 close abs and g(x)= abs of cosx. the wording might be confusing so here is another description of the equation (the "vertical line" ...
Saturday, November 7, 2015 by Anonymous

Calculus
suppose a sphere container of radius R=10 cm is fulled to a height of h=2 cm with a magic potion of density p=12g/mm^3. If the empty container weighs 500 g, how much does it weigh after the potion is poured in?
Saturday, November 7, 2015 by Anonymous

Calculus
Let f(x)= abs of negative abs of x + pi/2 close abs and g(x)= abs of cosx. the wording might be confusing so here is another description of the equation (the "vertical line" that I refer to is the line you draw as you draw the absolute value sign...for example "...
Saturday, November 7, 2015 by Anonymous

Calculus
Evaluate the integral. (Remember to use ln(|u|) where appropriate.) cot^3(3x) dx
Saturday, November 7, 2015 by Anonymous

Calculus
In a right triangle, the hypotenuse is of fixed length of 15 units, one side is increasing in length by 4 units per second while the third side is decreasing in size. At a certain instant the increasing side is of length 9 units. Find the rate of change of the third side at ...
Saturday, November 7, 2015 by Bob

Calculus
Find the Absolute Maximum and Absolute Minimum of f on (0,3]. f(x)=(x^3-4x^2+7x)/x Multiple choice question I know the minimum is (2,3) but the maximum is either nothing or (0,7) but I can't tell which one
Saturday, November 7, 2015 by Henry

Calculus
A company needs to make a cylindrical can that can hold precisely 2.1 liters of liquid. If the entire can is to be made out of the same material, find the dimensions of the can that will minimize the cost. Round your answer to the nearest four decimal places.
Friday, November 6, 2015 by Coc

calculus
Evaluate ¡Ò(1+xe^x)/x dx
Friday, November 6, 2015 by Beth

Calculus
Test for convergence: (n+5)/((n^7+n^2)^(1/3)) from 1 to inf. I cannot figure out which test to use. any help would be great!
Friday, November 6, 2015 by Alex

calculus
Evaluate ¡Ò(9tanxcosx+5)dx
Friday, November 6, 2015 by Beth

Calus calculus
a. Find the critical points of f on the given interval. b. Determine the absolute extreme values off on the given interval f(x)= x In(x/5); (0.1,5)
Friday, November 6, 2015 by Mjeed

Calculus
A)Find the critical points off on the given interval. B)Determine the absolute extreme values of f on the given interval. F(x)=xe^-x/2 on (0,5)
Friday, November 6, 2015 by Mjeed

Calculus
Evaluate the integral. cot3(4x) dx
Thursday, November 5, 2015 by Anonymous

calculus
Prove that sin(π + θ) = (-sin2θ) / (2cosθ)
Thursday, November 5, 2015 by kelsey

Calculus
Evaluate using integration by parts, substitution, or both if necessary. the intergral of cos 2x ln(sin 2x) dx My work: w= sin2x dw= 2cos2xdx 1/2 dw= cos2xdx 1/2 integrsl sign ln(w)dw u= lnw u'= 1/w v= w v'=1 1/2 [(lnw)(w)- integral sign (1/w)(w) dw] 1/2 (wlnw-w) Final...
Thursday, November 5, 2015 by Anonymous

Calculus
Find the points on the curve y=x2+2 closest to the point (0,3). Enter the coordinate with the smallest x-value first and round to the nearest 4 decimal places.
Thursday, November 5, 2015 by Mark

calculus
An Olympic athlete is standing at the edge of one side of a 3.7km wide river and wants to reach the point 7.4km downstream just along the edge of the opposite side. For this entire 7.4km stretch, the river is completely straight. The velocity of the current is negligible. The ...
Thursday, November 5, 2015 by john

Calculus
A company needs to make a cylindrical can that can hold precisely 1.5 liters of liquid. If the entire can is to be made out of the same material, find the dimensions (radius and height) of the can that will minimize the cost. Round your answer to the nearest four decimal ...
Thursday, November 5, 2015 by E

math/economics in calculus
The average cost of manufacturing a quantity q of a good, is defined to be a(q) = C(q)/q. The average cost per item to produce q items is given by a(q) = 0.01q2 − 0.6q + 13, for q >0. I know that the total cost is 0.01q^3-0.6q^2+13q What is the minimum marginal cost? ...
Thursday, November 5, 2015 by Jasmine

Calculus
Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 3 ft by 4 ft. The resulting piece of cardboard is then folded into a box without a lid. Find the volume of the largest box that can be formed in this way. b) Suppose that in...
Thursday, November 5, 2015 by Michelle

Calculus 1-Optimization
A box with a square base and open top must have a volume of 4,000 cm^3. Find the dimensions of the box that minimize the amount of material used. sides of base cm height cm
Thursday, November 5, 2015 by TayB

Calculus 1 optimization
A farmer wants to fence an area of 6 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. What should the lengths of the sides of the rectangular field be so as to minimize the cost of the fence? ft (...
Thursday, November 5, 2015 by TayB

Pre-Calculus
Write the standard form of the equation of the line that passes through the point (-4, -2) and is perpendicular to the graph of 3x - 2y + 9 = 0.
Thursday, November 5, 2015 by Tay

Calculus 1
The rate (in mg carbon/m^3/h) at which photosynthesis takes place for a species of phytoplankton is modeled by the function P = (120I)/(I^2 + I + 4) where I is the light intensity (measured in thousands of foot-candles). For what light intensity is P a maximum?
Thursday, November 5, 2015 by TayB

Calculus
use tangent line approximation (linear approximation) to estimate The cube root of 1234 to 3 decimal places. Hint: the equation should be y=f'(x0)(x-x0)+f(x0) 11^3=1331 can be easily computed using binomial theorem. I used linear approximation and got 10.733, but it is not...
Wednesday, November 4, 2015 by Henry

Calculus
A box with a square base and no top is to be built with a volume of 4000 in3. Find the dimensions of the box (Length, Width, Height) that requires the least amount of material. How much material is required at the minimum?
Wednesday, November 4, 2015 by E

Calculus 1
Locate the absolute extrema of the function f(x)=Sinpix on the closed interval [1,1/3]
Wednesday, November 4, 2015 by Justin

Calculus
Find the limit as x approaches 0+ of (lnx)/x using L'hospitals rule. When I do this, I keep getting stuck at 1/0 when you plug back into the equation after doing l'hospital once.
Wednesday, November 4, 2015 by Callie

Calculus
Evaluate ∫ (cos(x))^(1/2)sin(x)dx Let u = cos(x)? ∫ (u)^(1/2)sin(x)dx = ∫ [2u^(3/2)/3]sin(x)dx ∫ [2cos(x)^(3/2)/3] (-cos(x)) dx? I thought this involved the FTC, but now I'm thinking that's false.
Wednesday, November 4, 2015 by Justin

Calculus
Alright, I want to see if I understand the language of these two problems and their solutions. It asks: If F(x) = [given integrand], find the derivative F'(x). So is F(x) just our function, and F'(x) our antiderivative? 1) F(x) = ∫(2, x) [t^(3)+1]^(1/2)dt Let u...
Wednesday, November 4, 2015 by Justin

calculus
A Norman window is constructed by adjoining a semicircle to the top of a rectangular window . (The diameter of the semicircle is the same as the width of the rectangular) If the perimeter of the Norman window is 20 ft, find the dimensions that will allow the window to admit ...
Wednesday, November 4, 2015 by Beth

Calculus
Gloria would like to construct a box with volume of exactly 45ft^3 using only metal and wood. The metal costs $15/ft^2 and the wood costs $6/ft^2. If the wood is to go on the sides, the metal is to go on the top and bottom, and if the length of the base is to be 3 times the ...
Wednesday, November 4, 2015 by Dave

Calculus
Use a Riemann sum with n = 3 terms and the right endpoint rule to approx. ∫(1, 2) sin(1/x)dx. My teacher just needs the terms written out, no need to add or multiply. This is a problem she did up on the board, so here's her answer: sin(4/3)(1/3) + sin(5/3)(1/3) + sin...
Wednesday, November 4, 2015 by Justin

Calculus
For a cylinder with a surface area of 90, what is the maximum volume that it can have? Round your answer to the nearest 4 decimal places. The volume of a cylinder is πr^2*h and the surface area is 2πrh+2πr^2.
Wednesday, November 4, 2015 by John

Calculus
A rectangular recreational field needs to be built outside of a gymnasium. Three walls of fencing are needed and the fourth wall is to be a wall of the gymnasium itself. The ideal area for such a field is exactly 250000ft2. In order to minimize costs, it is necessary to ...
Wednesday, November 4, 2015 by Erik

HELP CALCULUS HOMEWORK DUE TODAY
Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = (x) / (x^2 − x + 25), [0, 15]?
Wednesday, November 4, 2015 by Anonymous

Calculus I
a). Find the critical points of the following functions on the domain or on the given interval. b). Use a graphing utility to determine whether each critical point corresponds to a local minimum, local maximum, or neither f(x)= x- tan^-1 x
Wednesday, November 4, 2015 by Mjeed

Calculus 1
a power station needs to supply power lines to a location 10 miles downstream and on the other side of a river that is 0.75 miles wide. Power lines cost $7 per foot on land and $10 per foot under water. What is the most economical path? What is the minimum cost? I know I have ...
Tuesday, November 3, 2015 by chelz

Calculus
Find the limit as x->infinity of (1+8/x)^x
Tuesday, November 3, 2015 by Callie

Pre-Calculus
You are taking a flight from Daytona Beach to St. Louis. There is a stopover in Atlanta. The bearing from Daytona Beach to Atlanta is N 38.3 degrees W. The bearing from Dayton directly to St. Louis is N 43.4 degrees W. The distance of the first leg of the trip from Daytona to ...
Tuesday, November 3, 2015 by Darshini

Calculus
Find an equation of the tangent line to the curve at the point (1, 1/e). y = (x^3)(e^−x)
Tuesday, November 3, 2015 by Callie

Calculus
Problem 5. Protein Concentration in Cells Consider a growing bacterial cell that is producing a protein involved in binary fission. Suppose that, at a particular point in time, a bacterial cell has a volume of 1000 μm3 (microns cubed) and is growing at a rate of 5 μ...
Tuesday, November 3, 2015 by Sky

Business Calculus
Bill wants to fence in his rectangular garden so his precious produce will be protected. Three sides of the fence will be constructed with wire at $2 per linear foot and the fourth side will be constructed of wood fencing at a cost of 6$ per linear foot.If he has $400 to spend...
Monday, November 2, 2015 by Rae

calculus
The edge of a cube office is decreasing at a constant rate of two cm per seconds .find the rate of change of its volume at that instant when the volume is 64m cube
Monday, November 2, 2015 by angela

Calculus 1
You have 4L feet of fence to make a rectangular vegetable garden alongside the wall of your house, where L is a positive constant. The wall of the house bounds one side of the vegetable garden. What is the largest possible area for the vegetable garden?
Sunday, November 1, 2015 by Grant

Calculus 1
A family wants to fence a rectangular play area alongside the wall of their house. The wall of their house bounds one side of the play area. If they want the play area to be exactly 1600ft^2, what is the least amount of fencing needed to make this? Round your answer to the ...
Sunday, November 1, 2015 by Grant

Calculus
Use the Shell Method to compute the volume V of the solid obtained by rotating the region enclosed by the graphs of the functions y = x^2, y = 8 − x^2,and x = 1/2 about the y-axis. Here is how I set up the integral: 2 pi integral sign [-2,2] (1/2 - x)[(8-x^2)- (x^2)]dx ...
Saturday, October 31, 2015 by Anonymous

Calculus
The volume V of a growing spherical cell is V =4/3πr^3, where the radius is measured in micrometers (1 µm = 10^−6m). Find the average rate of change of V with respect to r when r changes from 3 to each of the following. i)3 to 6µm ii)3 to 4µm
Saturday, October 31, 2015 by Joey

Pre calculus
A plane is headed due south with an airspeed of 190 mph. A wind from the direction of S 40 degrees W is blowing at 30 mph. Find the groundspeed of the plane, rounded to the nearest whole number
Friday, October 30, 2015 by Jacob

Calculus 1
Consider the following. B(x) = 3x^(2/3) − x (a) Find the interval of increase.(Enter your answer using interval notation.) Find the interval of decrease. (Enter your answer using interval notation.) (b) Find the local maximum value(s).(Enter your answers as a comma-...
Friday, October 30, 2015 by TayB

Calculus 1
Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = (e^−x)*(− e^−6x), [0, 1]
Friday, October 30, 2015 by TayB

Calculus 1
Find the absolute maximum and absolute minimum values of f on the given interval. f(x)=(x^2-4)/(x^2+4), [-4,4]
Thursday, October 29, 2015 by TayB

Pre-Calculus
Use the CALC features of the TI to answer the following. Show what you put into the calculator & what CALC feature you used. Round to the nearest tenths. The equation h = 20 cos (π/4 (t-3)) + 23 tells how high above the ground a ferris wheel car is at any given time. h is...
Thursday, October 29, 2015 by Clarice

calculus
why is sec(pi)x = (1/pi)secx
Thursday, October 29, 2015 by Marcelo

Pre-calculus
A surveyor standing 62 meters from the base of a building measures the angle to the top of the building and finds it to be 38°. The surveyor then measures the angle to the top of the radio tower on the building and finds that it is 45°. How tall is the tadio tower?
Thursday, October 29, 2015 by Fred

AP CALCULUS HELP
first, we must find 2z(dz/dt)=2x(dx/dt) + 2y(2y/dt) simplifying, we get: dy/dt=???(dx/dt + dy/dt) What is that simplified?
Wednesday, October 28, 2015 by Anonymous

Calculus
Use differentials to estimate the amount of paint needed to apply a coat of paint 0.02 cm thick to a sphere with diameter 40 meters. (Recall that the volume of a sphere of radius r is V=(4/3)πr^3. Notice that you are given that dr=0.02.)
Wednesday, October 28, 2015 by Henry

Pre-Calculus
During a storm a ship is being tossed up and down by huge waves. The vertical motion of the ship is given by the equation: h = 21cos((2π/5)t) where h is height above sea level in feet at time t minutes. 1) Give the first 2 times that the ship is at sea level. 2) Give a ...
Wednesday, October 28, 2015 by Clarice

Calculus
The consumer demand equation for tissues is given by q = (97 − p)2, where p is the price per case of tissues and q is the demand in weekly sales. (a) Determine the price elasticity of demand E when the price is set at $26. (Round your answer to three decimal places.) E =...
Wednesday, October 28, 2015 by Megan

Calculus - Differentiate
Differentiate y= (sin(x)) / (x^4) y' = ?
Wednesday, October 28, 2015 by victoria

Calculus
Let f(x)=x^4. If a=1 and dx=Δx=1/2, what are Δy and dy?
Wednesday, October 28, 2015 by Henry

Calculus
The formula for the amount (A) in a savings account compounded n times per year for t years at an annual interest rate r, with initial deposit P, is given by A=P(1+r/n)^nt. Evaluate this formula as the number of compoundings per year becomes infinite. (the number "e"...
Tuesday, October 27, 2015 by Nick

Calculus
A baseball player hits a baseball from home base towards second base with a velocity of 90 feet/second. At that same moment, he runs from home base towards first base at 30 feet/second. Find the rate of change of the distance between him and the baseball after 1 second.
Tuesday, October 27, 2015 by Nick

Pre-Calculus
3. Joyce is buying a pair of jeans for $39.99. The jeans are on sale at a 20% discount and the sales tax is 7%. Write a function T(x) to represent the total cost of an item with 7% sales tax. Find the composite function (T of S)(x).Use the composition to find the final cost of...
Tuesday, October 27, 2015 by PLEASE HELP

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Homework Help: Math