Approximate to four decimal places using the linearization L(x) of f(x) = at percentage error. (Use decimal notation. Give your answer to two decimal places.) The percentage error ≈ at a = 100 and use a calculator to compute the %

Q: 2 I 2 Vr +25 dz

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Q: Set up the integral representing the area of the region between the curves x = -1, x = 4, y = 2x -…

A: Consider the figure

Q: Consider the region on the 1st quadrant bounded by y = √4x², x and y- axes. If the region is…

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Q: The value of f (1) + g (1) is Blank 1 Blank 1 Add your answer [2² cos r² cos r dr = f(r) sinr + g(x)…

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Q: 3x at the point P (2,0, -1) in the direction The directional derivative of f (x,y,z)=ln *(x,y,z);…

A: ..

Q: 2. Solve for the volume of solid of revolution formed by rotating the area bounded by y = x² + 2, x…

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Q: integrate * Se³x+2 dx 2017 O +C d (2) 200 (14(14(1))) STOPISTOP!

A: The integration of the integral is e3x+2.

Q: The value of x for which the series Σ- O A. x<2 or 4<x. OB.2<x<3 or 3<x≤4. OC.2<x<4. O D. 2<x<3 or…

A: Given

Q: Show that if the function f(x, y) = ecos-e-cosx, satisfies Laplace Equation.

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Q: If $200 f(x) dx = A and 200 f(x) dx = B, then 130 f(x) dx =? 50 130 A+B B-A 0 O A-B

A: Given: ∫50200f(x)dx=A and ∫130200f(x)dx=B Now, we know: ∫abf(x)dx=∫acf(x)dx+∫cbf(x)dx Using above…

Q: A milk truck carries milk with density 64.6 lb/ft3 in a horizontal cylindrical tank with diameter 6…

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Q: y"+y' = 0; y(0) = 0, y '(0) = 1 cost + sint t + cost + sint B) 1- e-t t-e-t O A) O D)

A: I am attaching image so that you understand each and every step.

Q: Simplify: 1 1 + csc(0) + cot(e) csc(0) - cot(e) A 2sin(e) B 2 sin(8) 2 sin(8)

A: 1csc(θ)+cot(θ)+1csc(θ)-cot(θ)=csc(θ)-cot(θ)+csc(θ)+cot(θ)csc(θ)+cot(θ)csc(θ)-cot(θ)

Q: The circular ring method is to be used to compute the volume of the solid generated by revolving the…

A: Solution is given below:

Q: Find and classify all critical points of the function 3 f(x, y) = x³ + 2y - In(x³y³) Item 5.pdf

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Q: Find the volume of the solid obtained by rotating the egion bounded by y=x+1₁ y=0, about y = -1. y =…

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Q: The region is bounded by y = x³, y = 2x + 4 and y = −1. The y - coordinate of the centroid of the…

A: Let's compute value of given a+b+c+d-4f(2)/g(2).

Q: Evaluate the following TT f(x) dx if f(x) = definite integrals. if x ≤ 0 X sin x if x >0

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Q: Solve for the area of the region bounded by: x^2 = 4y + 4 and x = y - 2

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Q: Let L(r) be the linearization of f(x) = sin x + 1 at the point x = . Find L(π/2).

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Q: Evaluate the limit using L'Hopital's rule. Answer should be expressed as an INTEGER value, with NO…

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Q: $(2xy - x²) dx + (x+y²)dy, where C is the enclosed curve of the region boundec. The value of by y=x²…

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Q: it costs 0.05x2 + 6x +100 dollars to produce x pounds of soap. Because of quantity discounts, each…

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Q: Evaluate Va²-x²dx using trigonometric substitution

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Q: dx Evaluate ·S- x1/2 + +x213 A none of the choices B С) ℗ D E using rationalizing substitution. 3 ln…

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Q: If R is the disc with center at the origin and radius 5 then the numerical value of [xdA is equal to

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Q: Which ONE of the following statements is FALSE? OA. If the function f (x,y) is maximum at the point…

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Q: 3. An architect is asked to design a game room in the shape of an isosceles trapezoid, where the non…

A: I am attaching image so that you understand each and every step.

Q: Suppose that the price-demand and the price-supply equations are given respectively by the…

A: The price-demand equation is p=Dx=40-0.2x and the price-supply equation is p=Sx=27.5+0.001x2. (a)…

Q: x² In solving for the antiderivative of f(x)= √√4-x² using trigonometric substitution, f(x) dx is…

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Q: lim [(x²-In(x + 1)) cot x] x-0-

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Q: 3 2. Find the area bounded by the two curves y = x = x³- 6x²+ 8x and y = x² - 4x.

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Q: A manufacturer is planning to sell a total of 500 machines to both foreign and domestic firms. The…

A: Let's find revenue function.

Q: Use the shell method to find the volume of the solids generated by revolving the shaded region about…

A: This question can be solved using the concept of shell  method.

Q: 5. x-y(2-y) and x=-y

A: The given curves are; x=y2-y and x=-y Now find the point of intersection between the given curves.…

Q: A rope that weighs 0.5 lb/ft is attached to a bucket filled with cement plaster that weighs 22 lbs.…

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Q: where b₁,b2, b3 are constants and 8² w 8² w ឃ 8² w + əx² Əy² az² If web₁x-b₂y-b32, = b+b+b = 1. Show…

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Q: find the surface area of the portion of the curve x²+y²=4 from x=0 to x=2 when it is revolved about…

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Q: Use Lagrange multipliers to find a relative minimum function value of f if f(x,y,z)= x² + y²+ z²…

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Q: Consider the region on the 1st quadrant bounded by y = √4x²,x and y- axes. If the region is revolved…

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Q: consider using rational

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Q: - Given the function f(x, y, z) = x ln(1 – z) + and simplify your answers. a) fa b) sin(x - 1) 2y…

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Q: X -S²- VO- The numerical value of dx will be equal to

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Q: Which of the formulas below will give the area of the region enclosed by the polar equation r = 4…

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Q: Evaluate the following double integral over the given region R. 2 ln(x + 1) (x+1)y Use integration…

A: The objective of the question is evaluate the definite double integral.

Q: Suppose sec(0) = 3 and the terminal side of 0 does not lie on the first quadrant. What is the value…

A: Given sec(theta) = 3 and (theta) is not in the first quadrant. We know that sec(theta) is +ve when…

Q: Consider the following sequences n In (1+n) (ž) e^/(n²+1), (iii) n²+2n - 11. Which of the above…

A: We have to check which sequence is monotonic increasing.

Q: The integral can be rewritten as 6u³ (a). Su + 1 di du 6u4 (c). √ ₁² + 1 du dx ³√x + √x S 6u² (b). √…

A: Given :∫dxx3+x

Q: If w = eb₁x-b₂y-b³z, where b₁,b2, b3 are constants and b3 + b3 + b3 = 1. Show that อพ อพ อพ 02 อ 0z2…

A: Here in this question, we need to solve the given partial differential equation. The solution can be…