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 4 3 sec? e

Q: S sin®xdx

A: ∫sin6x dx       We have sin2 x=1-cos2x2 Then ∫sin6x dx=∫sin2 x3dx                  =∫1-cos 2x23dx…

Q: Using Integration By Parts. x3 x2 +4 dx =uv- v- Svau- -Svdu. Find uv- 3 글x리 (x2 + 4)Z-/글x(x2+ 4)2 dx…

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Q: z+3 lies on the y -axis of complex plane, where Q48. If z = x + iy and z + 3, then which of the…

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Q: •4 b (3x – 4)° dx = || f(u) du where (enter a function of x) = n dx (enter a function of x) — пр a =…

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Q: (4t³ – e') dt

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Q: S sin³x vcos x dx 2 Vcos7x + Vcos³x + C |cos³x 2 Vcos³x + C B 2 Vcos"x -Vcos?x + C Vcos³x + C none…

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Q: Find the indicated derivative in each using three-step rule. 1) f(x) = x² – 4x +3; f'(x)

A: Solution: As per our guidelines, we are supposed to answer only? One question ( if there are…

Q: Vx² + 4x – 5 ,2 using Trigonometric Substitution find x Consider X+2 O -2 +3 sec 0 O3 sec e O -2+…

A: Here, the given integral is: ∫14x2+4x-5x+2dx=∫14x2+4x+4-9x+2dx=∫14(x+2)2-9x+2dx

Q: Solve the system of equations. If the system does not have one unique solution, determine the number…

A: In this question , we can solve the system of equation by eliminating the variables .

Q: For the following integral, answer the questions below. ets dx (a) What should be your first step in…

A: Use first substitution then use integration by part

Q: smoving along the graph of the given function at the rate ax/dt. Find dy/dt for the given v - = 2x +…

A: Given query is to find the value of indicated derivative.

Q: Eveleate inter ssin(2x) dx

A: We can find the integration as below.

Q: Find the absolute extrema of the function on the closed interval. h(s) = [0, 2] %3D s- 3 minimum (s,…

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Q: The radius r of a sphere is increasing at a rate of 2 inches per minute. (a) Find the rate of change…

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Q: ul = 7,0 = 25

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: y" – 1/x = 0; y = x In x – 5x + 7 -

A: This question can be solved using the concept of first and second order derivatives.

Q: Sx(x² – 3)11 dx

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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: Find the integral. 21) + e3t) dt

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Q: Evaluate the Riemann sum for f(x) = 1 - 2 sxs 14, with six subintervals, taking the sample points to…

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Q: Calculate v x w: v = (3,8, 8), w = (1,1,4) V X w =

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Q: 2 (3 — х2) dx

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Q: line passes through the points P(6,10, - 1) and Q(8, - 10, -8). Find the standard parametric…

A: Given query is to find the equation of the line.

Q: Given the function g(x) 623 9x2 360z, find the first derivative, g' (x). %3D %3D = (2),6 Notice that…

A: Follow the procedure given below.

Q: 9-x2 dx. - х x2

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Q: 4 3 2- O 1+ -2 -1 1 2 x 1,

A: Solved below

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: 48. f(x) = (x – 4)(x² + 6x – 1), (0, 4)

A: We need to find the equation of tangent line for fx=x-4x2+6x-1 at point  0, 4

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: A/ Certain values of x and log1o x are (300, 2.4771), (304, 2.4829), (305, 2.4843) and (307,…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Evaluate ff, (x²z + y?z)dS where S is the part of the plane z = 4 +x+ y with positive orientation…

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Q: Evaluate the definite integral. NOTE: Enter the ecact answer. 13 ti+t°j dt

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

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Q: 80 Σ k k=41

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Q: Find any relative extrema of the function. Use a graphing utility to confirm your results. (Order…

A: f(x)=sinx sinhx-cosx coshxf'(x)=sinx coshx+sinhx cosx-cosx sinhx+coshx (-sinx)f'(x)=sinx coshx+sinhx…

Q: Evaluate the indefinite integral

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Q: Find the inte gral. Box Final Answec For the definite integral, give the exact answer only r se?- gE…

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Q: S sin(2x) dx

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Q: Ql Find se dx |

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Q: [2x+11 3 1 dx . evaluate Consider 3 1 dx x+3 dx = x2 + x- 6 x- 2 | x+3 X- 2 x+3 x- 2 In +C x+3 In…

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Q: A shot putter threw an 8 Ib 13 oz shot 62 ft, 2 in. Assuming the shot putter launched the shot at a…

A: answer is in next step

Q: Give the parametric equation of the line that passes through the point (−4, 3, −5) and is…

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Q: f'(x) = cos x; y (G) = 3 %3D

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Q: find s dx 1-C052X Scotcxldx

A: First solve then integrate

Q: 5xy = 4x²z – 3yz²; yx and yz- %3D Z.

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Q: Evaluate Sum 80

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Q: SxA Svau Using Integration By Parts, x Arcsec 3x dx = u v-

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Q: From a club of 17 people, in how many ways can a group of six members be selected to attend a…

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Q: Consider the function f(x) = 3x + 6 For this function there are two important intervals: ( – 0, A)…

A: The given function,      fx=3x+64x+2

Q: |x Arcsec 3x dx = uv- -Svau Using Integration By Parts, Find UV- du x2 Arcsec 3x dx x²-1 = x2 Arcsec…

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