Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 6 P4(x) = Your answer cannot be understood or graded. More Information

Q: Evaluate: 1) [x.e*c

A: We will solve the integration using integration by parts.

Q: 2. Suppose a wire three feet log is to be cut into two pieces, with each piece to be formed into a…

A: 2) as per our norms we have to write one question at a time kindly repost remaining questions.

Q: Evauate: |(*+xy) dx+ Cy- xy)dy; C: the x-axis from the origin to 2,0) and then line x-2 from (2,07…

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Q: -2 is a critical number of the function f(x) = /2x – x². - Select one: O True O False

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Q: ppose a compa headsets, the cost and revenue functions (both in dollars) are given by C(x) = 32,000…

A: Profit = revenue - cost Px=130x-0.001x2-32000+60x=-0.001x2+70x-32000

Q: 1. Find the inverse of the matrix 6 12 3 3 A. 10 10 C. 30 30 3. 10 7. 3. 30 10 30 152/5 D.…

A: Solution is done in step 2

Q: Select the correct answer. What is the value obtained by using left endpoints with n= 4 subintervals…

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Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

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Q: Using the Laplace transform to solve the IVP: y" - 4y = 4, y(0) = 0, y'(0) = 0 we get 4 Y(s) = s(s?…

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Q: Solve the following initial value problem. f′′(x)=−36x^2−18x−4,f′(−1)=13,f(−1)=−35

A: To solve the initial value problem.

Q: (b) w = x²y – 10y2²2³ + 43z – 7 tan(4y) dw 2xy + 43 z² – 20yz³ – 28sec² (4) dy –30y²2² dz %3! dz

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Q: dy for xy +e* = sin(x+1). By using implicit differentiation, find dxx.y)-(1.0)

A: Given equation: xy+ex2y=sin⁡(x+1) To find: dydx(x,y)=(1,0)

Q: sin(x²) 1+0- e2r – 2x – 1° Evaluate lim |

A: The objective of the question is evaluate the limit.

Q: 2 | (csc 0)(1 + sin? 0 + sin 0 cot? 0) do

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Q: Question 2 Find the differential dy: y= sin O dy E In a + sin( rVE dr Cos ( xY O (E) None of these…

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Q: Зх—5 dx (х+1) (х+2)2

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Q: Question 9 Let y = tan e find the differential dy of the function. O dy = e (r – 1) sec e- da O dy =…

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Q: 7. Simplify and evaluate. (2x³y²)³ a) (x’y (9y)? b) for y=-2 (3y*)

A: Given: a)2x-3y23x3y-42b)9y23y-13

Q: The function Y = has undergone the following sets of transformations IfY-x passes through the points…

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Q: 2. Error Analysis. Writing an exponential function from a graph. • Carefully indicate the errors you…

A: Given problem:-

Q: 3. xy' =y-xe/x ANS y =-x

A: To find out the solution of the differential equation.

Q: Use Lagrange Multipliers to solve the following: Maximize f(x, Y, z) = 4.x + 2y + z subject to æ? +…

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Q: The edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use…

A: As we know the surface area of the cube is; S=6a2                            ...(1) Where 'a' is the…

Q: dz dz Draw a dependency diagram and write a chain rule formula for and given the functions below. ds…

A: 1. D  2. D

Q: x2-x-1 , if x 1 is 1 if x= 1 continuous at x=1 since the right and the left limits are equal at x =…

A: f(x)=x2-x-1if x<13x3-4if x>11if x=1

Q: Integrate f(x.y,z) = x+ Vỹ - z° over the path from (0,0,0) to (1,1,1) given by C,: r(t) = t i+t°j, 0…

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Q: Enclosing an Area Patricia wishes to have a rectangular garden in her backyard. She has 64 ft of…

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Q: 20. tan (20) = -1 %3D

A: We have to find the value of θ.

Q: Sexe" ds, C is the line segment from (0, 0, 0) to (1, 2, 3)

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Q: Write true if the statement is correct and false if the statement is incorrect. = V3x + 2 Given the…

A: As asked we can answer the question true or false with out explanation as below.

Q: V16 – x² dx x2

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Q: Find the Taylor series generated by f at x= a. f(x) = -, 1 a = 3 X (x- 3)" Ο Α Σ 3" OA. n =0 (x –…

A: We have to find the Taylor's series for given function at a=3 . For this all order derivatives of f…

Q: 6y dx dy

A: x limit  x=y2and y is from 0 to 1 Option B

Q: Let C(x)= x2+4x+1 dollars be the cost function, where the x represents the quantity. The estimate…

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Q: I. Find the Laplace Transform of the given function using the definition of Laplace Transform a.…

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Q: Find the Laplace Transform of the given function using the definition of Laplace Transform a. f(t) =…

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Q: Find the solution set of the following linear system. Identify inconsistent systems and dependent…

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Q: The graph of a function f is given below. According to the graph, the derivative of the function…

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Q: Which of the following is true for the graph of Ax) on the interval (0, 2)? (Circle ALL that are…

A: The graph of the function fx

Q: ley'z ds, Cis the line segment from (3, 1, 2) to (1, 2, 5)

A: Given ∫c y2z ds Where c is the line segment from (3,1,2) to (1,2,5) Parameterize the line  r(t) =…

Q: dx 2+

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Q: Consider the vectors a = 4 i+ 8 j-8k, b = 2 i +k and c = 4 j-5k. Are the vectors a and b+c…

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Q: tution for each of the following indefinite integrals. To input inverse trigonometric functions use…

A: We have to substitution

Q: 2. Find the second derivative for the following set of parametric equations. = t° – 4t3 y = t?

A: We have to find the second derivative of the given equation.

Q: II. Find the Inverse Laplace of the following 2s-9 d. s² +2 1 е. (s²+1)(s²+4s+8)

A: As we know the Laplace transform identity; 1). L-11s2+a2=1asinat 2). L-1ss2+a2=cosat 3).…

Q: The base of a triangle is shrinking at a rate of 6cm/s and the height of the triangle is increasing…

A: The rate of change of the area with respect to time is the derivative of the area function with…

Q: Evaluate the double integral over the given region. 4x sin xy dA, R: 0sxST, Osys1 R O A. 4x O B. 4x…

A: solution

Q: Find the following antiderivatives. Cosh sinh r - 1 cosh r dr (a)

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: sin(x?) Evaluate lim 1+0- e2r – 2x – 1°

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Q: 1. Evaluate the following integrals. 2" – 4" - dy - с. 2+ 49

A: To evaluate the given integral.∫2y-4y2+4y dy