4. S(cos 2x)e$in 2.x dx 5. S cos x In(sin x) dx 6. ſ tan 0 In(sec 0) de

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A: The given function,  f(x)=-3x+4

Q: Q.2\ The series E is n(1+ln(n))

A: ∑n=1∞1n1+lnn

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A: We know, ddx(xn)=nxn-1, n is any real number. ddx(cosh(x))=sinh(x) ddx(cotx)=-cosec2x

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Q: Consider the publicly held debt of $5.0 trillion in 2006. Use the loan payment formula to determine ...

A: This question is based on Annual payment formula.

Q: (1+cot 0) de 5. sin e4 - cote

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Q: 0.08e* Determine p' (x) when p(x) =

A: Quotient Rule of differentiation : du.vdx =u.dvdx+dudx.v deaxdx =a.eax dxndx =n.xn-1

Q: Given f (x) = ? - +, then f(x) is: 9. %3D Of(x) = - 15 | x4 Of(x) = - - – 4 15 x² 2. x4 Of (x) = -9....

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Q: 8.4: 26 Determine whether the series is absolutely convergent. 26. 2 2 n=1

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Q: Find the derivative of the function. y = xe-x8 %3D y' = %3D

A: Given: y=xe-x8

Q: The cost of recycling q tons of paper is given in the following table. q (tons) 1000 1600 2200 2800 ...

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Q: For what value of a is the following function continuous at every x? a?x+2a, x22 f(x) = 12, x<2 Sele...

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Q: Calculate the divergence of cach of the following functions (a) r²î + y²§ + 2²k. (b) yzî + xzj+ xyk....

A: As per the instruction, we will answer only the first 3 subparts. For (a), For a given vector fx, y,...

Q: Evaluate the triple integral. x dV, where E is bounded by the paraboloid x = 8y2 + 8z2 and the plane...

A: Here, the given solid E is bounded by the parabolid x=8y2+8z2 and plane x=8

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Q: Find (f o g)(x) and (g o f)(x). f(x) = 4x² – 1; g(x) == (fo g)(x) =| %3D (Simplify your answer. Do n...

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Q: 32. (a) For a = 1, 2, and 3, draw position vectors for (1) ð = a²7 + 63 (ii) = 57 – a²3 (b) Explain ...

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Q: It is a special type of Taylor series such that a = 0 O Taylor Series Harmonic series O Maclaurin Se...

A: The objective is to find the maclaurin series. 

Q: Plot the point: (r, theta) = (-4,159) The angle is given in degrees. Clear All Draw: Dot

A: Plot the point (r,theta)= (-4,159) 

Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

A: Please refer to the image below

Q: Given the differential equation, its particular solution, and its wronskian y" + 1ly' + 18y = 14 e* ...

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Q: find the sum of this series: (-1)* 2n+1 y2n+1 (2n +1)! n:0

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Q: The graph of y = f(x) (solid) and its tangent line at (0, - 5) (dashed) is shown. 10+ 6- 4- 10 -9 -8...

A: Given: The graph of y=f(x) and its tangent line is at (0,-5) (dashed) is shown.  

Q: 6+ r Given f(x) = find f'(x) using the limit definition of the derivative. 7+1 f'(x)=

A: By limit definition of derivative f'(x)=limh→0f(x+h)-f(x)h       f'(x)    =limh→06+x+h7+x+h-6+x7+xh ...

Q: Let D be the region enclosed by y= sin(x),y = cos(r), x 0 and r = = 1. The volume of the solid forme...

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Q: A population of wolves is modeled by the function Pand grows according to the logistic differential ...

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Q: Evaluate the integral. V3 1 arctan dx

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Q: Match the graph of the function on the right with the graph of its derivative.

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Q: x- 2x- 13 0, correct to 3 decimal places. [-2.742, 4.742]

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post ...

Q: valuate the integral. (Remember to use absolute values where appropriate. Use C for the cons x² – x ...

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Q: 3. S? dx ( Improper Integral) (х-2)5

A: The given improper integral is: ∫13dx(x-2)23 Since the integrand f(x)=1(x-2)23 is undefined at x =2 ...

Q: Assume that functions f and g are differentiable with f( - 5) = 2, f'(- 5) = 4, g(- 5) = 3, and g'(-...

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Q: Find a point c satisfying the Mean Value Theorem for y=sqrtx on the interval [9,25]

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Q: Using variable separable technique, find the general solution of (4x+xy^2)dx + (y+x^2y)dy = 0

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Q: x-intercept  (x,y)=           (smaller x-value)

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Q: Given the graph of the function on the below, what is the lim f(x)? x -2+ a. 5 O b. 1 C. 0 d. 3

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Q: 375 + 210 Now consider the geometric series 3n" + .... Find a and r for this geometric series. 22n 2...

A: 3π3/26 +3π4/28 +-----------+---  Find a , r and sum of the geometric series.

Q: For the object generated by the revolving the curve 1 x > 1 %3D around the x-axis do the following: ...

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Q: Write the equation of the function g(x) that is transformed from the function f(x) = |x], and whose ...

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Q: В E A 37 32 22 14 -- В 3 10 38 8 27 -- 37 10 11 30 -- D 32 38 11 17 39 -- E 22 8 6 17 44 -- F 14 27 ...

A: This question can be solved using the rules of Kruskal's algorithm: STEP 1: First arrange all the ed...

Q: Use linear approximation to estimate f(3.85) given that f(4) = 5 and f'(4)= 6.

A: Given: - The values, f(4)=5 and f'(4)=6 To estimate: - The value of f(3.85) by using linear approxim...

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...

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Q: Find the first quadrant area bounded by the following curves: y = x? +2, y = 4 and x = 0.

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: 5. f(x) = 2x² – x + 6 for all values of x 6. f(x) = 5 at x = 2 x-2

A: On solving this we will get