dx 6. xVa² - x² X

Q: Calculate the Taylor polynomial T3 centered at x = a for the given function and values of a and…

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Q: y = (x+6)(x+8)® (x+3)³(x+5)5 Differentiate using Logarithmic Differentiation

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Q: For a general graph of a function a = g(y) that may go to the left and the right of the y-axis, %3D…

A: Follow the procedure given below.

Q: Find the following derivatives. Z, and z,, where z= 6xy-5x y, x=s+t, and y =s-t %3D (Type an…

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Q: Find the value of c for which the area enclosed by the curves y = c – x² and y = x? – c is equal 88.…

A: The given question has been solved in detail

Q: 10 a. lim 1+3 x - 2 10 b. lim T7 x -2 2x +1 c. lim T-2 x – 3

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Find the area between the curves y=e−0.2xy=e-0.2x and y=1.6x+1y=1.6x+1 from x=0x=0 to x=4x=4.

A: Given query is to find the area under the curve

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A: We need to find antiderivative.

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Q: Given the power series 2 (-1)" x" n = 0 Find the Derivative of the Power Series. x (n + 1) d A 2…

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Q: Approximate the change in the volume of a sphere when its radius changes from r = 50 ft to r 50.05…

A: Given,           The radius of the sphere changes from r=50 ft to r=50.05 ft.To find : Approximate…

Q: Q1. Find the equation of sphere whose center is at (4,-1, 7) and radius is 5.

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Q: 1. 1++-+ + 27 64 125 1 1 +-+-+ 11 1 1 +- + 17 .. 14

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Q: Suppose f(-1) = 3, f'(-1) 2, and g(x)= r'f(2). The tangent line to g(r) atz= 1 is given by Y

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Q: Nicholas is in a panic. He discovered he only has 5 ½ tablespoons of coffee in his house. He knows…

A: answer is in next step

Q: 2(2x? + у?)dx — ху dy %3D 0

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Q: Compute the first partial derivatives of the fol f(x.y) = 4 – tan 1 (3x?+2y?) -1(3x2 +2y)

A: f(x,y)=4-tan-1(3x2+2y2)partial differentiation w.r.t xfx=0-1(3x2+2y2)2(3×2x)…

Q: Consider the following planes. -6x + y + z = 6 24x - 4y + 6z = 36 (a) Find the angle between the two…

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Q: Sketch the solid described by the given inequalities: 0 <rs 2,s00szs

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Q: Find the exact value of the limit using L'Hopital's Rule, make sure to talk about all indeterminate…

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Q: 8. Use Green's Theorem to evaluate px*dx+xydy where C is the triangle with vertices (0,0), (1,0),…

A: As we know from the Green's theorem: ∫CMdx+Ndy=∫∫R∂N∂x-∂M∂ydA And The expression for the equation of…

Q: If vector T = (x+ y+1)i+ j– (x +y)k then T.curl(T )is

A: We are given vector T.

Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable 8 1+ 4 lim…

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Q: Sketch the region of integration for the integral (x+3y) dA, where R is the region in the first…

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Q: хах 11. The integral f 4-х2 is equal to 1 A. In | | + C C.-글m14- x리 + C 4 x+2 2+x B. In |4 – x2|+C…

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Q: State the domain of each piecewise function in question 3, and comment on the continuity of the…

A: Given query is to find the equation of the function.

Q: y" + 2y' + 2y = 0, y(0) = 0, y'(0) = 15, %3D %3D %3D

A: answer is in next step

Q: Evaluate the following limit. (3x²-y") lim (x.y)→(4,-4)

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Q: Find the values of p for which the series is convergent. (Enter your answer as an inequality.) 00 E…

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Q: Find the gradient of the function at the given point. f(x, y) = 4x + 3y2 + 6,    (1, 4) ∇f(1, 4) =

A: As we know that; The expression for the gradient vector; ∇fx,y=i∂∂x+j∂∂yfx,y=i∂fx,y∂x+j∂fx,y∂y…

Q: Find the maximum of the following function: h(x, y)  =  ln(x10 y6) given the constraints: 5x2 +…

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Q: 5. E-1 ne-" n=D1

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Q: If the average value of a function f(x) is 3 on the interval [0,1] then the average value of f(x)?…

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Q: height of 1000 feet reaches the gro

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Q: Vx2+16 dx X4

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Q: Here is a graph of the function g. 4- -2- -3- -4- Use the graph to find the following. If there is…

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Q: Find the taylor Series of f(x) centered at the given valve of a and the interval on which the…

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Q: Find the gradient of the function at the given point. w = x tan(y + z),    (17, 3, −1) ∇w(17, 3,…

A: Given  w = x tan(y + z) We have to find the gradient of the function ∇w(17, 3, −1).

Q: How/Find the solution for the equaton

A: Note:- These are multiple questions and according to our company guideline we can do maximum one…

Q: : Consider the differential equation y" – 2y – 3y = 5 cos(2x). a) Verify that the family of…

A: Given y(x)=c1e-x+c2e3x-713cos(2x)-413sin(2x)initial conditionsy(0)=-4 and y'(0)=4

Q: Evaluate the integral. S7 19n (sin x + cos y) dx dy O 8TT O 16TT O 9TT O 17TT

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Q: dE The rate at which a machine operator's efficiency, E (expressed as a percentage), changes with…

A: dEdt=25-8t(a) dE=(25-8t) dtIntegrate On both sides∫dE =∫(25-8t) dtE =25t -8t22+cE=25t-4t2+cgiven…

Q: Determine whether the series is convergent or divergent. 1 1 + 4 + + ... 9. 16 25 Divergent…

A: 1) The given series is 1+1/4 +1/9 +1/16+ 1/25 +.....

Q: Find the area of the region bounded by y = 2x , y = -8x and y = 2 %3D using double integral. Leave…

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