Determine if the series converges or diverges. 00 Σ n=1 n! The series (coverges/diverges) using the method/test known as

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Q: 16. u du Form Answer .Given: S 10% -dx а) 3 | а" du Find: formula b) | a"du c);| a*du d) =| a"du

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Q: I. Determine whether the series converges using any appropriate test. Identify the test for converge...

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Q: EXAMPLE 1 Finding a Volume Find the volume of the region D enclosed by the surfaces z = x? + 3y? and...

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Q: Find the radius of convergence and the interval of convergence. 'k(k + 3) k=1 Radius of convergence:...

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Q: Find the radius of convergence and the interval of convergence. k(k + 1) k=1 1) First apply the Rati...

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. = . ...

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Q: Determine the set of values of the continuous function defined by the formula: a) f(x)=cos sin

A: Given that fx=cosπ3sinxgx=π3sinxsinx is continuous in x∈-∞,∞gx is also continuous .Range of sinx is ...

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Q: ue Theorem on the given interval? ction satisfies the Mean Value Theorem. continuous on [0, 3] and d...

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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: Find range of function f(x): b) f(x)= (2 – x)V 4x – x²,xE (0, 4) -

A: b)   f(x)=(2-x)4x-x2 , x∈(0,4)         plot the function on the graph    

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. 

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Q: dx For the integral , which of the following options is correct? A. lim (x – 1)½|" + lim (x – 1) | B...

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Q: 72. Existence of integrals For what values of p does the integral dA exist in the following cases? a...

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Q: x2 Sketch the curve of y %3D (х-2)(х-6)

A: According to question,Given function,y = x2x-2x-6

Q: dz Compute dz and for the following equation. dy e Y + xz² 6xy*z³ .3

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Q: Evaluate the integral S dx 2x3 - 3xx 1 -In 2/2 "I/3x + /2 +C En(2 { x³ - 3x x)+c 1 V2 + V3x -In + C ...

A: First we take common x3/4 then put√x=t  And using integration of 1/a2 - x2

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: (9 – x² , x 10 [x – 4] (a) f(2) (b) f(12.5) (c) f(-3) (d) f(5) (e) f(1.5)

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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: 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: 1. It is the value for natural exponential fur 2.It is a function which is continuous at eve 3. It i...

A: We will solve 3 parts only 

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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: Evaluate the integral of the improper fraction using partial fraction method - 2x + 6 + 1 d. 2x-8

A: We have to find given indefinite Integration.

Q: Evaluate the integral dx S 2xx - 3x2

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Q: Find the shortest distance, d, from the point (4, 0, -4) to the plane x + y + z = 4. d =

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Q: 5+ 12x2 - 4x xdx a (2x? -3)/5+12x² – 4xª + 14in/2x² - 3+/5+12x? – 4x*|} b H2x2-3)/5+12x² – 4x + 14Ar...

A: To evaluate the given integral.∫5+12x2-4x4 x dx  

Q: Problem #2 Use Cramer's Rule to solve the given linear system 2x-y 5 x + 3y =-1

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Q: du Form Answer Ssinx Ex. S 3+2cosx -2sinxdx 5(ou -5v3+2cosx + C 3+2cosx 15. Given: dx 3 2sdr a) b) 2...

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Q: 1+ Inx 6. Find f(x) so that when u = f(x) the integral an( f(x)) dx can be rewritten as cot u du. (a...

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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: Find the average rate of change for the following function. f(x) = 2x - 5x +3 between x = - 1 and x ...

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

A: Using Bernoulli equation. Follow step 2nd . 

Q: Describe the sampling distribution of p. Assume the size of the population is 25,000. n= 600, p = 0....

A: Here given that, Population(N)=25000 n=600,p=0.1 Now, n≤0.05N600≤0.05*25000600≤1250 ............(1) ...

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: It is a series expansion problem

Q: The Pauli Exclusion Principle tells us that no two electrons in an atom can have the same four quant...

A: Please see the below picture for solution. 

Q: 15. Find dr/d0: r = 4 – 02 sin 0 а. 20 sin @ - ө2 cos @ b. 0 cos e – 0² sin e - c. O sin e – 02 cos ...

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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: f(x) = 3x? + 8 x = 5 21 6 30 -5 2 | f(x) = x³ – 2x² * = 2 3 f(x) = -x? + 3x + 9 15 4 2 3 *= -6 | f(x...

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub- par...

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Q: зах X-Vx

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

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