Use the definition of Taylor series to find the Taylor series (centered at c) for the function. x) C- 1 fx) - n =0

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A: We have to first find improper Integral then we have to evaluate it.

Q: Evaluate the integral 3e2x 2e-2x 1 In vZe-2x + /2e-4x – 3 +C 2/7 - 2x 2/3e2x - 2e-2x+C -등 Arcsinl VZ...

A: Explained below 

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

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Q: 1. Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x)dx. 2. Write the g...

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next ti...

Q: 4 tanz dr 2. The value of the definite integral (b) (e) 1- (d) 0 (a) 1

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Q: -2 3. Integrate: [8x°e"-2 dx = du - e* 4x°dx 2 du = dex?. 4x° dx 4 3 2ou 8 ex".x°dx

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Q: 1 3. Let f(x, y, z) = Show that Vx2 + y² + z²° frx + fyy + fz2 = 0.

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Q: 37. h(t) = 14 -214 39. F(x) = x" (x - 4)²

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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: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

A: (4x2+y2)dxdy = -xy ....(1)f(x,y) dxdy =ϕ(x,y)The given differential equation is ahomogenous equation...

Q: 3-1 4. The value of the indeterminate form from lim is 1 4r2 - I- 3 (a) 0 (b) 00 (c) 1 (d)

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Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 20 c...

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Q: 3. The graph of a function g is shown. 1. (a) Verify that g satisfies the hypotheses of the Mean Val...

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Q: Evaluate the integral dx |V7 + V3x -In 3 V2 - V3VX +C 1 -In V3x + V2 V2 +C 2/2 O In(2 V x³ - 3x Vx)+...

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Q: 3. (3 marks) Given that u(x, y) = f(y- a) +g(y +x) is a general solution to Uzz = Uyy, %3D for twice...

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Q: Given: [2x? (3-5x*)" dx 2x3 (3 – 5x Find: Formula o fu'du 02 fu'du O-2 fu'du Su du 1 10

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

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

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Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1+ x CO f(x) = 1 + -x...

A: From binomial theorem we know, 1+xn=1+nx+n(n-1)2!x2+n(n-1)(n-2)3!x3+....

Q: Evaluate the double integral. eln 3 3 7 dx dy In x ey In 3 3 7 dx dy = (Type an exact answer in simp...

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Q: Evaluate the integral dx 3e2x - 2e-2x 1 VZe-2x + /2e-4x - 3+C 2/2 1 -Arcsin V2e-2x +C V3 2/3e2x - 2e...

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Q: Calculate the respective marginal functions for the following total cost/revenue functions. you stat...

A: Since you have asked multiple questions in a single request we would be answering only the first que...

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Q: 18. dx The integral - can be rewritten as V1 - x (a) lim (-2+ 2v1-s) (b) lim (-1+2vī -s) s--00 s--00...

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Q: Find the radius of convergence of the power series. (If you need to use o or -0o, enter INFINITY or ...

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Q: Find the interval of convergence of the power series. (Be sure to Include a check for convergence at...

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Q: 8. = In(3x² – 2y + 4z³); x = 1/2, y = t²/3, z = 1=2 w

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Q: 15 x 15

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Q: 6. The number x, 2x + 7, 10x - 7 forms a Geometric Progression. Find the value of x A. 5 B. 6 C. ...

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Q: Question 2: Illustrated below are two tangent lines drawn at 2 different points on the curve whose f...

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Q: Find the radius of convergence of the power series. (If you need to use es or -eo, enter INFINITY or...

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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: For each of the following problems, Set up the integrals representing the volume of the solid genera...

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Q: Let S be the plane defined by 5x-Sy+10z 0, and let T be the plane defined by 2x-2y+5z=-2. Find the v...

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Q: dx The integral can be rewritten as - X (a) lim (-2 + 2V1-s) (b) lim (-1+ 2v1 -s) S-00 00--S (c) lim...

A: First we solve integral, put √1-x=t  And follow step 2nd . 

Q: Evaluate the integral cot 2x V cot? 2x - 15 13. -순사 Csc 2x +C -Arcsec 4 А. Arcsec Csc 2x +C 4 1 Arcs...

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Q: Calculate (1+ cos(y²))dA,where D is the triangular region with vertices(0, 0). (–2 - Vĩ,2· VT) e (0,...

A: Given problem:-

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Q: The resale value R​ (in dollars) of a company car after t years is estimated to be given by R(t)=22...

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Q: Evaluate the integral S 4x4 – 12x² + 7 xdx (2x2 – 3)/4x4 – 12x² + 7 + 2ln|2x² – 3+/4x+ – 12x² +7]} +...

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

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Q: e) Explain how one can use differentiation to analytically determine the slope of a curve

A: If cost revenue given , we differentiate it so we give marginal revenue. 

Q: cSc x du 5. If u = f(x), then -. Compute f dx = sin x – cos x 2 (a) 1 (b) -1 (c) 0 (d) 2

A: ∫cscxsinx-cosxdx=∫duu