Use sigma notation to write the Taylor series about x = 4 for the function. 1 x + 3 1 -1* 7*+1 (x – 4)* k =0 8

Q: ax Evaluate • (1– 2x)² 1 2 2 O 1 O-1

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Q: A woman attached to a bungee cord jumps from a bridge that is 38 m above a river. Her height in mete...

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Q: dx Given: 2x- 3xlnx Find: du dx dx 3 X

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Q: (2y^2+3xy-2y+6x)dx+x(x+2y-1)=0 Solve this differential equation

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Q: Suppose that f(4) = 4, g(4) = 3, f'(4) = -2, and g'(4) = 5. Find h'(- %3D h (x) g(x) f(x)+g(x) ' Exp...

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Q: arctan(xy) = arcsin(3x + 3y),    (0, 0)   find an equation of the tangent line to the graph of the e...

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Q: Edit Use Stokes' Theorem to calculate the integral | F · dĩ where F = (y – x)i+ (z – y)3+ (x – 2)k a...

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Q: One of the following is an improper integral. - In 3 e* dx JIn 2 V4 – ex dx xV16 – In x - dx · In 2 ...

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Q: eat (A cos t + B sin t) + t²

A: Given function is eαtAcost+Bsint+t2find the laplace transform 

Q: Evaluate the iterated integral by converting to polar coordinates. V2x – x2 5/x2 + y² dy dx

A: Explained below 

Q: Find the laylar polynomials of orders = 0,1,2,3, and 4 about x = No, and then find the nth laylor po...

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Q: Use sigma notation to write the Taylor series about x = xo for the function. e; xo = 10 O 00 e10 E* ...

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Q: Given: [ Scos(cos2x) sin2x dx Find: du O 2cos2x dx O -2sin2x dx -2cos2x dx O 2sin2x dx O O

A:     ∫coscos2xsin2xdxLet u=cos2x.So,     du=-2 sin(2x) dx

Q: Evaluate the integral tan 4x dx tan? 4x 24 O 1 sec 4x Arcsec + C - Vtan? 4x – 24| +C n tan 4x + 1 -A...

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Q: x+1 Is the function f(x) - X2 *Xく2 ;ン2 x >2 2X-1 continuous at x= 2? Why or why not? Show solution.

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Q: Use sigma notation to write the Maclaurin's series for the function f(x) = x cosx. Show complete sol...

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Q: Ind the Fadlus of convergence of the power series. (If you need to use ∞ or -o, enter INFINITY or –I...

A: Given query is to find radius of convergence.

Q: 7. Using integration by parts evaluate the integral /(z- 2x)e-3 dz

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Q: 9. Evaluate the integral ex V2e-2x – 3e2x 2/2e-2x – 3e2x +C А. 1 3eªx – 2+C B. 2/3 Arcan V3e2x Arcsi...

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Q: 19-22 Use a triple integral to find the volume of the given solid 22. The solid enclosed by the cyli...

A: Given cylinder is x2+z2=4 and the plane is y=-1 and y+z=4 So,  y→-1 to 4-z z→-4-x2 to 4-x2 And x→-2 ...

Q: dw In each of the following, find dr and ds using the Chain Rule. 1. w = xy + yz+2z; x =r+s+t; y =rs...

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Q: dx Evaluate xV x2 - 4 8 프2프4 O O O

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Q: s(x) = X-4 Find the x-values (if any) at which the function is not continuous. Which of x2-2x-8 the ...

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Q: 3 x lies in the third quadrant, find the values of other five If cos x = - 5' trigonometric function...

A: In third quadrant tangent and cotangent are positive.

Q: As x approaches 0, the left and right limits equal 3. However, the actual y-value at that point is -...

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Q: Find the equation of the tangent line to the graph of the given function at the given value of x.   ...

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Q: 03 -3 -2 -1 1 2 4. -2- -3 -4- -5+ Determine which one of the following rules for continuity is the f...

A: I am attaching image so that you understand each and every step. Answer of this question is 2 option...

Q: Use the properties of natural logarithms to simplify the function. f(x) = ln(e4x) − 2x − ln(1)

A: Use the properties of natural logarithms to simplify the function. f(x) = ln(e4x) − 2x − ln(1)  

Q: Find the producers' surplus it the supply function for pork belies is given by the following S() -q/...

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Q: dx 2х — 10 15. Evaluate A. Ο В. 1/2 С. C. 00 D. - 00

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Q: Use long division to find quotient  x3 + 2x + 4        x - 3

A: By using long division find quotientx3+2x+4x-3

Q: Discuss the continuity of the function g(x) = 1/(x^2-4) on the interval (0, 2] and [−1, 3].

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Q: Solve the differential equation with appropriate method. Simplify final answer the simplest possible...

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Q: 5. Let X be a binomial random variable with n = 4 and p = 0.45. (a) What are the possible values of ...

A: In this question we have to solve the following question.

Q: Find the derivative of the function f(x)=2x−73x−2 at x=2

A: topic - derivative of a function

Q: x* – /x dx бу 4

A: integration

Q: Use Stokes' Theorem to calculate the integral / curl F · dà where F = -5yi+ 5xj + (xy+4 cos z)k and ...

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Q: Question 2 Which among the following is an improper integral? 2 1 dx x[In?(3x) – 4] Inx dx le? x[In*...

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Q: dx Evaluate 6e* cos (3e *) -In |sec(3e ) – tan(3e |] + C O 2 [In |sec(3e-x) + tan(3e-)|] + C -18 [In...

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Q: Solve the differential equation with appropriate method. Finalize answer free of fractions in each t...

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Q: A vertical wall makes an angle of radian measure ?r with the ground. A ladder of length 20 ft is lea...

A: Let's find. 

Q: complementry function for this DE  12.7y" + 68.58y' + 153y = 0.289(y+1)

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Q: What is the resulting integrable form of evx+I x+1

A: We have to find value of given Integral.

Q: p dq , for demand q and price p. Find the general equation q = f(p) where E = 3. (Hint: Set the elas...

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Q: 23. If u = f(x), then +2x² + 1 k + C for some constant k . x² + 1 Compute kf (1). (a) ¼ (b) – ½ (c) ...

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Q: dx Evaluate 6ex cos (3e X) O 2 [In |sec(3e-x) + tan(3e-)|] +C [In |sec(3e-) – tan(3e-|] + C 1 In |se...

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Q: y(x² – y² + 1)dx – x(x²-y² – 1)dy = 0

A: Exact differential equation

Q: 5. The volume of the solid formed by revolving the region bounded by the curve y = Vcosz, I-ax: from...

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Q: In Exercises 47-62, use a sketch to find the exact value of each expression. 47. cos(sin £) 49. tan(...

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Q: t f be a function that is concave up everywhere. Suppose we would like to use the tangent line at x=...

A: If f is concave up so f''>0 and follow step 2nd .