Find the volume of the solid generated by revolving the shaded region about the x-axis. The volume of the solid is cubic units. (Type an exact answer, using x as needed.) 4x+ 5y = 20

Q: 1. Prove that (1) (2) (3) + (2) (3) (4)+...+ n(n+1)(n+2) = n(n+1)(n+2)(n+3) %3D

A: According to bartleby guidelines when student post more than one question then expert must have to a...

Q: Find the general solution of the given differential equation. x?y' + x(x + 2)y = e* y(x) = Give the ...

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Q: S 4 (;- e-) cos (e-z + Inz) dz A 4 sin (e¬z + In z) + C sin (e¬2 + In z) + C B 4 sin ( – e-²) + C si...

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Q: Find and sketch the domain of the function. f(x.y) = Vy - 4x - 8 Find the domain of the function. Ex...

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Q: Find the 42nd derivative of the function y=sin(x).

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Q: Given the vectors M and N , find a) unit vector in the direction %3D of -M + 2N: b) magnitude of sî...

A: Given the vectors M→=-10, 4, -8 and N→=8, 7, -2, to find a unit vector in the direction of -M→+2N→b ...

Q: Consider the integral This can be transformed into a basic integral by letting u = and du = dz After...

A: Put u=z2 then solve it. 

Q: Which of the following is not true? A ladder 25 feet long is leaning against the wall of a house. Th...

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Q: PLEASE HELP ME ANSWER WITH SOLUTION 2 1. A farmer plans to fence a rectangular pasture adjacent t...

A: 2. A rectangular page is to contain 50 square inches of print. The margins on each side are 1 inch.

Q: 6. Which of the following equations is an exact differential equation? (a) (r2 + 1)dr - rydy = 0 (b)...

A: Please see the below picture for detailed solution. 

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = x0 and then find the nth Taylo...

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Q: Which of the following best describe/s the derivative of a function? I. The slope between any two po...

A: the deriative of function dy/dx is give the slope of function rate of change and  (y1 - y2)/(x1 - x2...

Q: 1 - (Integral test) n2 +1 ... .... n=1 8.

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Q: Determination of Integrating Factor 2. Given the equation: y(2xy+ 1) = x y' %3D Find the integrating...

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Q: The particular solution of the differential equation y" – 6y' + 5y = -9e2* is O 2e^2x Зе^2x e^x

A: y"-6y'+5y=-9e2xf(D)=D2-6D+5since f(D)y=Q ; Q =keaxhence k=-9 , a=2particular integral isgiven by :yp...

Q: 5. Which of the following equations is not a variable separable? dy dy ry + 3x - y - 3 ry – 2x + 4y ...

A: To write the equations which are not a variable separable differential equation. 

Q: S cos(3z)sin1º(3z) dz C 1 (cos (3z))10 + C 3. (sin(3z))10 + C D 1 (cos (3z))1 + C 33 (sin(3z))'l + C...

A: Topic = Integration

Q: Find the coordinates of the points where the gradient is zero on the curve y=x+1/x. Establish whethe...

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Q: differential equations solve by bernoulli differential equation xy=(x^2+2y^2)y'

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Q: 1. Write the equation of the line tangent to the graph of the given function at x = 1 y= 5x²-3x+1 2....

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the functi...

Q: 16. John tries to find the equation of the tangent line to the graph y=5x+1 at x=2. His calculations...

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Q: 1.Prove that n(n+1)(n+5) is a multiple of 3. 2. Use Pascal's Triangle to expand the expression (a + ...

A: Here we have to prove that n(n+1)(n+5) is a multiple of 3.

Q: Find the Taylor polynomials of orders n = 0,1, 2, 3, and 4 about x = x0 and then find the nth Taylor...

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Q: A large mixing tank initially holds 1000L of brine in which 25kg of salt was dissolved. Another brin...

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Q: Edit Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = x0 and then find the nth ...

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Q: 12 5. Find the middle term in the expansion of; 6. A safe uses a code that is made up of two letters...

A: in multiple question we are only allowed to answer only first question or three sub parts .

Q: C. Find the values of the constants c and k that make the function continuous at every number. S3x +...

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Q: S( 2 cot?0 – 3 tan²e) de

A: Follow the procedure given below.

Q: we. ON 11. =? - ду (a) 3y – 3ry? (b) у — Злу? (c) 3y+3ry? (d) y+3ry?

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Q: What are the dimensions of the can with greatest volume?

A: Follow the procedure given below.

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

A: Explanation of the answer is as follows

Q: You are planning to make an open rectangular box from an 8-in.-by15-in. piece of cardboard by cuttin...

A: Given query is to find the dimensions of the box.

Q: y = 2x + 1 and y = 2x+ 14 a

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Q: Determine the value of the following limit, if it exists. If infinite, specify either o or -0. (If a...

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Q: The average value of a function f(x, y) over a region R is the value 1 AV (f, R) //. f(x, y) dA. Are...

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Q: f(x) = 1- (1/(x+2)^2)  find f(-x) and f(x+k)

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Q: Find dw and ow de when P=1 9=4if Hew.3 W = XY +y2Zu +uV and x = P4 リ=4 tan p V =P+q+H

A: w=xy+yz+zu+uv∂w∂p=x∂y∂p+y∂x∂p+y∂z∂p+z∂y∂p+z∂u∂p                                  +u∂z∂p+u∂v∂p+v∂u∂p∂...

Q: Verify the inverse function theorem of y = Vx +2

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: Given,            fx=e5x , c=0To find : The taylor series centered at c for the given function.We kn...

Q: A boy is flying a kite at a height of 150 ft. If the kite moves horizont ally away from the boy at 2...

A: Topic = Triangle

Q: Given cost function C(g) = q° - 130q + 24000q, what is the minimum average cost? A It would be $ per...

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Q: PLEASE HELP ME ANSWER WITH SOLUTIONS 5,6 1. A rectangular page is to contain 50 square inches of pr...

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Q: Write a polynomial, P(x), in factored form given the following requirements. • Degree: 3 • Leading c...

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Q: A company produces a special new type of TV. The company has fixed costs of $474,000, and it costs $...

A: This question can be solved using the concept of cost function, revenue function and profit function...

Q: 3. Using Newton- Raphson method, find the real root, correct for three decimal places, of the equati...

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Q: 8. A race involves 10 participants. In how many ways can 14, 2nd, 3rd and 4th place occur? In how ma...

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Q: 3 4. f(x) : 1 – x*

A: Geometric Infinite series : Consider the series               ∑n=0 ∞ arn =a+ar+ar2+ar3+....Then the ...

Q: Obtain the general solution of the following differential equations. 4. y'dx+e* dy = 0 Ans. e +y = c...

A: differential equation

Q: 6. * S sin*x cos3 x dr sin x sin'x + C 7. C sin x sin'x 7. B sin5x cos'x + C sin x cos'x + C 7. O A ...

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Q: The height of a cone is decreasing at a constant rate of 3 centimeters per minute. The volume remain...

A: Given,          The height of a cone is decreasing at a constant rate of 3 centimeters per minute.  ...