By using shell method, find the following volume a. y = x2 - 4x - 4 and line through point A(1,3) and B(3,1) about x = 5

Q: Evaluate: S Vx(x – 5)dx

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Q: 4. Suppose you have a function y= g(x) with domain {x-3<x57} and range {y-9sys5}. a. Explain in…

A: The given function is y=g(x) with the domain {x|-3≤x≤7} and the range y|-9≤y≤5

Q: Problems Find the radius of convergence and interval of convergence. (a) п! n=0 (b) (5х — 4)" 00 -…

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Q: Use Newton's method to approximate the solution to the equation 4 = x+ 2. Use xo = -1 as your…

A: This question can be solved using the concept of methods of approximation of roots.

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A: We need to find solution of differential equation.

Q: Given, f (x) = for æ + 3; f-1 (æ) x +2 x – 3 | Of-1 (x) x-1 3x+2 Of1 (x) = * Зх +2 x-1 x- 2 f-l (x)…

A: We have to find f^-1(x)

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Q: The integral Sr Si rdz dr do represents the volume of a solid. What is the solid? half a cylinder…

A: Cylindrical coordinates :       x = r cosθ , y = r sin(θ) , z=z where,    x2+y2 = r2   and θ =…

Q: A. y = 2e* – x – 1 B. y = 2x° – 2x – 2 C.y=e²x+x – 1 D. y = e* + x + 1 f) xy' = 1 А. у %3 4 +x Inx…

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Q: The following table gives the approximate amount of emissions, E, of nitrogen oxides in millons of…

A: Please see the explanation below and appreciate my efforts...

Q: 0.75 3 0.50 4 0.75 A) Rate = k[A] B) Rate = k[A]? C) Rate = k[A][B] D) Rate = k[A]?[B] E) Rate =…

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Q: dx Vx² + 8x An appropriate trigonometric substitution to simplify this integral is x = f(t) where…

A: In the given question we have to find a suitable trigonometric identity to substitute in place of x…

Q: e 2x dx /1 — ех

A: Let's find.

Q: QUESTION 12 Let S(x) =x2. Find the producer surplus at the equilibrium. x =3. $2 $ 27 $9 $ 18

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Q: Start with a square of area 1 square foot. Use the Sierpinski square design where the original…

A: We have to find that after round 5, how many squares are there, what is the area of this fractal.

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Q: Written Homewo 1) Find the zeros and maximum value of r 2+4 sin 0.

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Q: Jse the (first principles) definition of the derivative to find g'(x) if g(x) = I+ 2

A: Explanation of the answer is as follows

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Q: Find the area under the curve y = 6x° over the interval [0, 2]|

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Q: Solve the given equation.. (3x2 + y)dx + (x²y – x)dy =0 Y +3x = C a. b. x²y? + x²y+ x4 = C C. d.…

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Q: Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements…

A: We have to find the measurements of triangle.

Q: Solve the initial value problem: y' = – 0.03y + 6 y(0) = 50 %3D y(t) = %3D

A: According to Bartleby's policy we are allowed to solve only 1 question at a time. Apologies for the…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos(x) sin 1 (x) xp

A: ∫cosxsin16x dx

Q: 3. Find the second-order partial derivative fry (x, y) for the function, f(x,y) = 4x3 – 5x²y – 3y +9…

A: f(x,y)=4x3-5x2y-3y+9Differentiate partially w.r.t xfx(x,y)=12x2-10xy

Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the…

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Q: Derivalive: f) JFonx-4 2.gm)- (Jx+ 37 Ax+1

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Q: Find the inverse Laplace transform of 5s + 1 F(s) = s2 – 7s + 12

A: F(s)=5s+1s2-7s+12       =5s+1s2-3s-4s+12       =5s+1s(s-3)-4(s-3)       =21(s-3)-16(s-4)(s-3)(s-4)…

Q: 4x3 - 6 Find the differential dy of the function y = %3D 4 2x Provide your answer below: dy = dx *…

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Q: x2 Q1 (x sin x+cos x) -dx

A: For integrating the given integral we will use the below-mentioned integration formulas…

Q: Find all the second-order partial derivatives of the following function. w = 3y e x? - 9y

A: Use partial derivative to find the value .

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Q: Diem 3. Sketch the region enclosed by the curves y = 2x, y = 2x², and find the area of that region.…

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Q: Evaluate the integral S SR 6x dy dx over the rectangular region R = {(x, y) |0 <x < 2, 0 <y < 1}…

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Q: 3 sin-xe 5%

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Q: On each interval, determine whether the graph of f(x) is concave up or concave down. From x=1 to…

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Q: A tangent line to the curve c(t) - (- 4t - 5t + 2, t - 15t - 1) has slope 3 at the pointias) 2-1…

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Q: b. Engineers are designing a box-shaped aquarium with a square bottom and an open top. The aquarium…

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Q: 1 Use the formula A1 = to find the inverse of the 2 x 2 matrix (if it exists). (If an answer does…

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Q: uation of motion in the form x(t) = Ae™it sin( V2 – 2?t + w), which ft

A: answer is in next step

Q: ne limit represents a derivative f'(a). Find f and a. sin (4 + h) – lim h→0 h xpress numbers in…

A: Given the query is to find the function and value of a.

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Q: sinx 2 cos*x 4 - Cosx

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A: We need to find max area.

Q: Write the general conic form equation for an ellipse with center at (-1, -1), vertex at (5, -1), and…

A: This question can be solved using the concept of general equation of ellipse.

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Q: wastebasket has a wire circle for the top and bottom, and six straight wire rods that hold the top…

A: Find your answer below

Q: 3n-2 5. For the sequence an = 7+5n a. Find the limit if it exists. 3n-2 b. Does the series E-1…

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Q: 1 dr r²Vr² – 9 -2.

A: answer is in next step