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

Q: Given the differential equation x²y" + 5xy' – 5y = log (x) Determine the Wronskian for the different...

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Q: 2. Tell the continuity of the function () = {_2x +5. 4x - 2, x> 2 a.) Illustrate the graph b.) Evalu...

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Q: The boundary of a lamina consists of the semicircles y = V1 - x? and y = V9 - x² together with the p...

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Q: Graph The data a Then Tind madel t trigunome tric represent the trend Ove the data your made!

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Q: ind all horizontal and vertical asymptotes (if any). (if an answer does not exist, enter DNE.) t(x)...

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Q: *Introduction to Derivatives (x²+2x-3 Using the 3 conditions, show that f(x) = if x 1 X-1 is both co...

A: If limxtends to 1f(x) =f(1) then f(x) is continuous at x=1 .  And if f'(1)  exists then f is differe...

Q: 16. Suppose that over a region of space the electrical potential V is given by V(x, y, z) = 5x? – 3x...

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Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all tha...

A: f(x)= (x-2)(x-5)(x-7) , [2,7] 

Q: Evaluate the triple integral. x dV, where E is bounded by the paraboloid x = 8y2 + 8z2 and the plane...

A: Here, the given solid E is bounded by the parabolid x=8y2+8z2 and plane x=8

Q: Determine the area of the region bounded by x = –y² + 10 and x = (y – 2)².

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Q: dx x2 -1

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Q: (axy - 4y-1) dx t x (x-2) dy = 0

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x The solution of the differenti...

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: For the next three questions, consider the following differential equation: (2y sin r cos r-y + 2y²e...

A: Find your answer below 

Q: -3x²-2x+1 dx x+2

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Q: Find the area of the region bounded by y = la, y = 0, x = 0, x = 2 %3D Give your answer to the neare...

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Q: 3(sin y- cos y) chy cos y

A: First we use (siny - cosy) 2 =sin2 y + cos2 y -2sinycosy Then using u substitution let u =sexy + tan...

Q: In(x) f(x) =x

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Q: 27. F(x, y, z) = x'y – y°z², v = (-1,7, 3), P = (1,0, –1

A: F(x,y,z)=x2y2-y2z2

Q: Given the differential equation 213y" – xy' – 20y = 0 Determine the General Solution for the differe...

A: see below the answer and explanation

Q: DIRECTION: Solve the following problems in neat and orderly

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Q: Given the differential equation y" - 2y' – 24y = 7 x² e-5x Determine the Wronskian for the different...

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Q: find all horizontal and vertical asymptotes (if any). (if an answer does not exist, enter DNE.) s(x...

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Q: n the differential equation - 3y' = 4 x e-2 ermine the General Particular Solution for the diffe Y, ...

A: In this question we will use basic concepts of calculus i.e concepts of solution of higher order dif...

Q: A weather balloon is launched from an observation tower and heads due north. Its horizontal distance...

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Q: 3. Determine f(x) = x2 + x-2 is continuous on the given interval (-0,+0) (show graph and its table o...

A: Here, the given function is: f(x)=x2+x-2 And the given interval is (-∞,∞).

Q: Find the area of the region bounded by the curve y = Vz – 1, the y-axis and the lines y = 1 and y = ...

A: See the details solution in below

Q: Find the minimum and maximum values of the function f(x, y, z) = 5x + 6y + 4z subject to the constra...

A: Here we have f(x,y,z)=5x+6y+4z subject to the constraint x2+6y2+6z2=1 Let g(x,y,z)=x2+6y2+6z2-1

Q: (7) Determine if the improper integral converges or diverges. Justify your answer. If it converges, ...

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Q: Marvin won a $200 gift certificate from a local car wash. Every time he gets a car wash, it costs hi...

A: Given:   Won = 200     Cost = 8.95

Q: Suppose that we are baking a bread in an oven. Let T (t) denote the temperature in degrees Fahrenhei...

A: Let's find. 

Q: Find the volume formed by rotating about the y-axis the region enclosed by: x = 10y ; y3 = x ; y (gr...

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Q: 12. lim [(x - 5) - 3x] isHOS HOH 3O a. lim (x - 5) + lim 3x b. lim (x - 5) COR x-5- lim 3x lím 3x d....

A: NOTE: As per our guidelines, I have solved twelfth problem in the picture. If you want the answers o...

Q: (2+7sin 2 dr 3. Co s 2

A: Given: I=∫2+7sin3zcos2zdz We know that the trigonometric identities; 1). sin2θ+cos2θ=12). 1cosθ=secθ...

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A: Given: (1)  w = 4x4+6x3y2+2x2y3+y4   (2) w  = cosh5cotxy

Q: haracteristic. 40 80 160 (A) y 2.2 2.2 2.2 2.2 -8 -4 8. (B) y 51 62 73 95 -4 -3 (C) y 18 4.5 -2.2 3 ...

A: Topic:- function

Q: f) = In(tanx) -1 %3D

A: ddxlnarctanx  

Q: Find the minimum and maximum values of the function f(x, y, z) = x² – yº – z® subject to the constra...

A: We have to find the minimum and maximum values.

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: Write down all your solution to the given problems below. 1. Choose a number and apply the following...

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Q: 1 16k2 + 8k – 3 k=1 ||

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Q: y*(x*y-2)dx + x(x*y* +2y° - x)dy -0: y(1) = 1 3.

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

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Q: Given the differential equation у" + 5y' — 14у %3D 7х2 езx sin(&x) Determine the differential operat...

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Q: Decide whether the following statement makes sense (or is clearly true) or does not make sense (or i...

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Q: 1. y 2x + 4x at point (-2,0)

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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...

Q: c. the area of the parallelogram formed by the vectors a and b 3. Two forces of 40 N and 50 N act at...

A: The given data is: F1=40 NF2=50 Nθ=60∘  To determine the resultant and equilibrant of these forces.

Q: Consider the following sequence: {an} = {n– n² } In=1 Use an+1 - an to show that the given sequence ...

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