Find the area of region enclosed by x = t – t, y = t – tº, 0 < t < 1 using Green's Theorem.

Q: 2x? – 4 on Find the arclength of y 0 < x < 2 -

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Q: A hotel rents 200 rooms at a rate of $40 per day. For each $1 increase in the rate, four fewer rooms...

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Q: Given the combined differential operators for a given differential equation (D + 4)(D – 3) (D - 4) D...

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Q: Calculate the divergence of cach of the following functions (a) r²î + y²§ + 2²k. (b) yzî + xzj+ xyk....

A: As per the instruction, we will answer only the first 3 subparts. For (a), For a given vector fx, y,...

Q: Find the minimum and maximum values of the function f(x, y, z) = x' - y – z8 subject to the constrai...

A: The given problem is solved below in detail.

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A: Given Series ∑k=1∞-27k

Q: Suppose a baby food company has determined that its total revenue R for its food is given by R = ' +...

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Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole ...

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Q: Find points P and Q on the parabola y = 3 – x so that the triangle ABC formed by the x-axis and the ...

A: This question is related to triangles and straight lines, we will solve it using given information. 

Q: (i) |10-3x517

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Q: MY NOTES ASK YOUR TEACHER Find the fluid force on the vertical side of the tank, where the dimension...

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Q: 3. (a) P - 3e + 2x 32

A: By our policy, we are allowed to solve only one question at a time. Kindly repost the other question...

Q: The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% per y...

A: Given population of world in 2015  was 9.75 billionlet   for t=0 , we have year 2015

Q: Evaluate the integral. (Use C for the constant of integration.) dx 81 - x2

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Q: -3x²-2x+1 ***) dx 5. x+2

A: The given integral is:∫-3x2-2x+1x+2dxWe need to solve the above integral.We will use the method of s...

Q: Consider the function f(x)=x^5 - 5x^4 a. Find where the function is increasing and decreasing.   ...

A: Increasing and Decreasing functions : If f'(x)&gt;0 for every x on some interval ,then f(x) is incr...

Q: A rancher has 300 feet of fencing to enclose two adjacent rectangular corrals, as shown in the follo...

A: A rancher has 300 feet of fencing to enclose two adjacent rectangular corrals, the equation describi...

Q: 5n — 2п 38. E n=2 п+1

A: given series ∑n=2∞-2nn+15nWe apply here root test to determine whether the series converged or diver...

Q: find the power series represen tation of the following function given be low and determ in e the rad...

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Q: Consider the publicly held debt of $5.0 trillion in 2006. Use the loan payment formula to determine ...

A: This question is based on Annual payment formula.

Q: Find the area of the surface generated by revolving the curve Y = 8/x, 2 < x < 7 around the -axis.

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Q: 7. There is a removable discontinuity at x = 1 and f(1) = 4 8. There is a jump discontinuity at x = ...

A: Note that: The jump discontinuity means the left and right-hand limit exists but not the same. And, ...

Q: Six and one-half foot-pounds of work is required to compress a spring 4 inches from its natural leng...

A: We have to find work required to compress the spring to one - half inch.  

Q: x2 х — 6 - 1. f(x) : x2 – 4

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: Compute the discriminant B(x, y) of the function. S(x, y) = x' + y* - 6x – 2y² + 1 (Express numbers ...

A: Given function f(x,y)=x3+y4-6x-2y2+1

Q: Given the differential equation t2 y" - 3ty' + 4y = 0

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Q: 5. tan?x = 3 secx 2 %3D

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: Given the general solution to a differential equation and its initial conditions y(t) = C,14 + C,-2 ...

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Q: Q4-Find the domain, range, intercepts, symmetry, and asymptotes y = f(x) = /x² – 5x + 6 -

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: Evaluate the integral. (Use C for the constant of integration.) | 8x2 + 7x + 8 dx (x2 + 1)2

A: Given query is to find the value of the integral.

Q: u du Formula Answer dy 9. ey sin( e-y)

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Q: 1 16k2 + 8k – 3 k=1 ||

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Q: uppose that you have deposited a certain amount of money in a bank that pays an terest rate of 2.5%,...

A: Topic:- algebra

Q: What is the coefficient of the term contaning the variable h when f(x +h) – f(x) is performed, and i...

A: Here we have to determine the coefficient of the term containing the variable h when f(x+h)-f(x)h is...

Q: 2 EX g. Evaluab..f. x.dA. whe. R.ia.the.rsgem.in.the frirst. R .quadrant..bounded.by.xy=16. Xa.8y.e....

A: ∫∫R f(x,y) dA = ∫∫R f(x,y) dx dy  Horizontal slide

Q: valuate the integral. (Remember to use absolute values where appropriate. Use C for the cons x² – x ...

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Q: MY NOTES ASK YOUR TEACHER Find the fluid force on the vertical side of the tank, where the dimension...

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Q: Use the difference an+1 - an to show that the sequence {n – 11"}1 In=1 is strictly increasing or str...

A: {n-11n} an+1 = (n+1) - 11(n+1) an = n - 11n an+1 - an = (n+1) - 11(n+1) -(n - 11n) an+1 - an = 1 + 1...

Q: _15. lim X-4 2x-8 is x+4 a. 0 b. -6 c. 2 d, does not exist

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: There is an infinite discontinuity at x = 0 and f(0) = –2

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Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...

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Q: 1 S (x) = - x - 4 Il discontinuous points of (see the graph) are

A: f(x)=1/x^2-4 f(x)=1/(x-2)(x+2) f(x) is defined when x-2≠0,  x≠2 x+2≠0,  x≠-2  

Q: Evaluate the integral. (Use C for the constant of integration.) e60 sin(70) de

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Q: Find the volume of the solid generated by revolving the region bounded by y = 1 -x 2 and the x-axis ...

A: we know that formula for volume of revoution about x-axis is Volume=π∫abf2(x) dxf(x) =1-x2(a,b) = (-...

Q: Given the differential equation " + 5y' = 7 x³ Determine the differential operator for the left and ...

A: Topic:- differential equations  

Q: COSX cosx 10. 1-sinx 1+sinx

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Q: glo) (a) A type of power series in a form, E n! n (x – a)" Bessel Series O Harmonic Series Maclaurin...

A: This question is about finding the name of series by looking at formula. 

Q: Find the radius of a cylindrical can (with a lid) to contain 1728 cm³ of water, using the minimum am...

A: This is a problem of mensuration. Based on the general formula of volume of cylinder we will calcula...