How many times will integration by parts be used in evaluating In'x dx? once twice thrice no need to use integration by parts

Q: Solve the equation. Write the solution set with the exact solutions. Inx+ In (x-4) In (3x-10) %3D If…

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Q: x²+4x-5 dx = Using Trigonometric Substitution : f(e)de find the new limits of integration. x+2 a = 6…

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Q: Find all values of A E C such that A(1+2i, 5+4i) = (3+2i, 6-1)

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Q: dx Using Trigonometric Substitution J- , find f(0) = (x² + x + 1)7 O 3 sec? e 4 3 sec e 4 4 3 sec e…

A: The given integral,     ∫dxx2+x+132

Q: Sketch and determine the opening, vertex and focus of the parabola with an equation of y? - 8x + 16…

A: Follow the procedure given below.

Q: 10. Consider the function f (x) = x³ + 6x2 -36x + 4. Then I. f decreases on (-6, 2) and increases on…

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Q: Sx³ Vx? +4 Svdu- Using Integration By Parts, dx = uv-

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Q: Find two unit vectors orthogonal to a = (-5, 2,2) and b = (5, 4, -2) Enter your answer so that the…

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Q: A point is moving along the graph of the given function at the rate dx/dt. Find dy/dt for the given…

A: We can find the answers as below.

Q: Answer the following questions for the function f(x) = a/a² + 9 defined on the interval – 6 <a < 7.…

A: According to the guidelines, I am answering the first three subparts. Please repost the remaining.…

Q: If ở x w = i- j+ k, and v · w = 4, and 0 is the angle between v and w, then (a) tan 0 (b) ө

A: (a)v×w =i-j+k|v×w| =12+(-1)2+12=3|v×w| =3|v×w| =|v| |w| sinθ →(1)now,v.w =|v| |w| cosθ →(2)(1)(2)⇒…

Q: Region bounded by: y = x+1, y = -x + 4, x = 0 Rotate about: y-axis %3D

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Q: sin2 dx. Use trigonometric groups. cos

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Q: Sketch the curve y = x* - 6x? and show intercepts, maxima and minima and points of inflection.

A: Follow the procedure given below.

Q: dx Using Trigonometric Substitution , find f(e) !! (x2 + x + 1)2

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Q: x² + x +2 dx - x2 – 1 Evaluate (х-1)2 + C x+1 x+ In- x+1 In- + C (x – 1)2 (x – 1)2 In- X+1 x+1 +C x+…

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Q: If f(x) is odd and ∫−1 5 f(x)dx=14, then ∫1 5 f(x)dx=

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Q: Find the indefinite integral using the formulas from Theorem 5.20. (Remember to use absolute values…

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Q: S2x²-x² + x+2 2x3- x4 + x D |dx find A + B+ C+D· x+1 Consider O 2 O 5 O 4

A: Here is the solution

Q: find the equation of the tangent and thhe to the Pollo wing cunve uhen x = 1 (2x2- Ja)2 normal .

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Q: Three pens of the same size are to be built along an existing fence. If 480 feet of fencing is…

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Q: Find the general solution of the differential equation. y(4) – 6y(3) + 9y'" = 0 ... y(x) =

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Q: S2x²e** ax=uv- Jvau -Svau. Sfoxe". Using Integration By Parts, Find uv- Jv du- 3 x² e dx O 2 x3 x3…

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Q: Find the first partial derivatives of the function. x5 - y5 x° + y f(x, у)

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Q: Express the limit as a definite integral on the lim 17(x;) - 7x;]Ax, [2, 8' i = 1 dx 12 Need Help?…

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Q: 3s+10 W(s) = s(s-8)(s-6)²

A: To solve the following problem

Q: /9- x² Consider dy using Trigonometric Substitution what is dx ? 3 sec e de 3 sec? e de 3 cos e de 3…

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Q: Find the integral. Box Final Answe r. For the definite integral, gve the exact answer only Ssin(Bx)…

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Q: Evaluate S. F dr where F(x, y, z) = e'i+ (xe + e²) j+ye²k and C is the line segment from (0, 2, 0)…

A: answer is in next step

Q: |v|dt. Then find the Find the arc length parameter along the curve from the point where t= 0 by…

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: Find the absolute extrema of the function on the closed interval. y = 4 cos x, [0, 27] Step 1 The…

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Q: 1) Plot the following points on a polar coordinate system. a) (1,45°) b) (3.) 2) Convert the…

A: In polar coordinate r,θ,if  r is negativen then add π to the angle . Note : As per our Guidelines ,…

Q: Ssin(x)cos(2x)sin(3x) dx sin(3x)cos(3x), sin(2x)cos(2x) , sin(2x) + + C 12 8 8. 4 sin(6x) sin(2 x),…

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Q: D 2x³ – x² + x +2 = (: find dx - A+B+C+D- Consider - + + + x+1 x4 + x3 O 2 O 4 O 3 O 5

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Q: The equation r(t) = (t + 3) i + (7t) j+ (3t) k is the position of a particle in space at time t.…

A: Let's find.

Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural…

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Q: 2) a> Determine the value(s) of k such tPhat g'u)= 5if g Cc) (x) x2-2 b) Write the equation of the…

A: In multiple question we are allowed to answer the first question

Q: Let r = xI + yj + zk and r= |r|. Find each of the following. (Give your answers in terms of r.) (a)…

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Q: Vx2 + 4x - 5 dx = Using Trigonometric Substitution f(e)dA find the new limits of integration. 1. x+2…

A: Let's find.

Q: Sx(x² – 3)11 dx

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Q: Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints…

A: Solving

Q: A particular solution of the differential equation y+4y =8sin2x is Select the correct answer. O a.yp…

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Q: each of the problems, solve the given differential equation. 3. y` + y2 sin x = 0

A: Given query is to find the solution of the differential equation.

Q: Consider the following vector field. F(x, y, z) = (2e* sin(y), 7e sin(z), 4e² sin(x) (a) Find the…

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Q: Find the angle between the vectors u = 2i – 6j and v = - 2i + j + 5k. The angle between the vectors…

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Q: dx -= In[F(x)]+C• What is f(3) For (x+x³) (x Tan-!x+1) 3 3 -1 3 6. + 3 + + +

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Q: Use logarithmic differentiation to find dy/dx. y = Xx2 + 35 X>0 dy dx II

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Q: Verify that f has an inverse function. Then use the function fand the given real number a to find…

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

Q: 2x4 + 3x2 – 1 Rewrite dx as integral of sum of partial fractions. (x³ – 4x² + 5x)² C D E F + |dx x2…

A: First we factorise the denominator of the given function.Then write the given integral into integral…