Out of all the techniques of integration (by parts, partial fractions, trigonometric) which one do you feel is the most difficult and explain why

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A: Given query is to find indicated limit.

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Q: The figure below shows four named points A, B, C, and D on a grid generated by two vectors V₁, V2 in…

A: NOTE: Refresh your page if you can't see any equations. . the coordinate of v1 and v2 are

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Q: Find the minimum and maximum values of the function f(x, y) = x2y4 subject to the constraint x2 - y²…

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Q: Calculate the limit for the function f(x) = 2x + 4 over the interval [0, 4]. Verify your answer by…

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Q: 38. When air expands adiabatically (without gaining or losing zi heat), its pressure P and volume V…

A: To determine the rate at which volume is increasing

Q: Question One (a) Let U = 3i-j-4k and V = -2i+4j-3k. Show that U-V is commutative but U x V is not.…

A: “Since you have posted multiple questions with multiple sub parts, we will provide the solution only…

Q: Evaluate the limit: lim+∞ In √x+5x 7x

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Q: Suppose wexy + yz² while x(s, t) = s+t, y(s, t) = cos(s), and z(s, t) = est. Determine Əw Əw and Əs…

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Q: Find the absolute maximum and absolute minimum of the function x3 3 f(x) = 1 7x² 2 + 10x - 2 over…

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Q: 4 12d2= -dx = x² - 1 (A) B D 4 ln x² - 1| + C 2 ln+C 4sin ¹x + C 4tan ¹x + C

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Q: year-end bonus of $25,000 will generate how much money at the beginning of each month for the next…

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Q: Which of the following expressions is equal to (A) B (С) (D) 2 1.² 2 S. ² 1.² X 2 X 5 X 3 - 3 4 3…

A: Solution: Write the fraction using partial fraction decomposition.

Q: Graph the line with the given point and slope. Using the format of graph in picture. 1.) (-6,4);m=…

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Q: Consider the function f(x) below. At what value(s) of x are the inflection points? Enter answer…

A: for inflrction points  put   f''(x)=0d dx(xn)=nxn-1d dx(constant)=0

Q: List the first five terms of the sequence. an = cos(n) 1 a2 a3 a4 a5 || = || = =

A: We have to solve given Questions.

Q: Use the Integral Test or a p-series to determine the convergence or divergence of the series. 1 Στη

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Q: Determine the convergence or divergence of the series and identify the test used. Σ η = 1 1 3-2

A: The given series is  convergent .Solution is given below.

Q: Use integration by parts to solve fx'in (3x³x.

A: Here is the solution:

Q: Find the length of the curve. -X² + 10x³² 6 y = Need Help? Watch It 2≤x≤4

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Q: If the figure below is the graph of the derivative f', answer the following: Where do the points of…

A: Given graph of f'

Q: In(x)-In(x-2)=3 Solve for X

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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A: Given query is to find the inflection points and the intervals where concave down.

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Q: Consider U₂ x²y dA, where R is the region bounded by 0 ≤ x ≤ 2, x ≤ y ≤ x +4.

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Q: 2. xsecxtanxdx

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Q: 5. Set up a triple integral to find the volume of the tetrahedron that has vertices (0,0,0),…

A: Given Vertices ( 0,0,0 ) & ( 0,0,4 ) & ( 3,0,0 ) & ( 0,4,0 ) ∫∫∫dydzdx

Q: Question Three (a) Prove that F(x, y, z)= (y² cosa+z³)i+(2y sin a-4)j+(3rz+2)k is a conservative…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √√1+3x,…

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Q: Evaluate the integral. -π/4 JO 5 sec(0) tan(0) de

A: To evaluate the following integral.∫0π4 5 secθ tanθ dθ

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A: Given query is to find the amount of each payment.

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A: Given Function:- y=sinx

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Q: Calculate 25 j by writing it as a difference of two sums and using one of the Power Sums formulas.…

A: To find:- ∑j=76250j

Q: We conclude by showing the max and minimum points. maximum (2,26) minimum (1,1) maximum (-2,-26)…

A: d dx(xn)=nxn-1for critical points  put f'(x)=0fot critical values of x  if  f''(x)>0  minimum and…

Q: Find the average value of the function y = 35 - 2x on the interval [0, 4]. O 31 10 O 20 O None of…

A: The Answers are given below

Q: ns are on pougop at ang syo! sacop of patient solut y=u²+ v², x = u² − v², 'Rax = z

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Q: Let F(x, y, z) = x³i+y³j+z³k. Compute the following: (i) V.F (ii) V X F

A: i) Given:       Fx,y,z=x3i+y3j+z3k then         ∇·F=∂∂xx3+∂∂yy3+∂∂zz3                 =3x2+3y2+3z2…

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Q: Find the derivative of y with respect to x; where x = 2 sin t & y = 4 cos t.

A: Given:        x=2sin t       y=4cos t here differentiating with respect to t       dxdt=ddt2sin t…

Q: Find at least 10 partial sums of the series. (Round your answers to five decimal places.) n 1 2 3 4…

A: Sum of GP

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Q: 1/2 S 5 sec²(x)tan(x) dx 0

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