Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an answer does not exist, enter DNE.) f(x) = Vx2 + 81 relative maximum (х, у) relative minimum (х, у) %3

Q: 2x-1 11. y = 5x+2 12. y=(5x² + 2x + 1 )3 13. y = V2x + 6 /14. y = 15. x = 2x + 3, what is dy/dx? =…

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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: Using Integration By Parts, x3 V x² +4 dx = u v- -[vdu Find UV-

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Q: Use implicit differentiation to find dy/dx. 13) 2хy - у2 - 1 A) _ у -х B) X - y C)L X - y D) – y - x

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Q: Consider / sinºx cos?x dx. |f we let u=cos x , the integrand can be transformed to A / (u²+ 2u+ +…

A: topic - indefinite integral

Q: sin dx 32 cosS 35 4 Ssin +2 +c cos () • 32 cos + C 32 -cos 32 cos + C 7 4 32 cos 35 즐)-Scos()+기+C

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Q: (b) 1 When is the velociy of the particle positive? [0,1) U (3,4] When is it negative? (1,3) When is…

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Q: Find the integral. 21) + e3t) 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: 6. S(x)= In(tanh 5"

A: As per bartleby guidelines we only give first question answers.

Q: If ∫3 6 (5f(x)+2)dx=14, then ∫3 6 f(x)dx=

A: ∫ab fx±gx dx = ∫ab f(x)dx ± ∫ab g(x) dx

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: - 4 + e-6x - dx e4x 23)

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Q: 3. Prove: a) Bo(U,4,)=U,(BO4) b) BU(N,4)=N,(BU4)

A: a) B∩∪iAi=∪iB∩Aib) B∪∩iAi=∩iB∪Ai

Q: S sin(2x) dx

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Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers…

A: If f'(x)>0 for every x on some interval I , then f(x) is increasing function . If f'(x)<0 for…

Q: Evaluate (5+=3+3)+

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Q: 9- x2 Consider using Trigonometric Substitution what is dx ? x2 3 sec e tan e de 3 sec e de 3 sec2 e…

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

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Q: 2. Sketch the region and find the area of the region bounded by y = -x? + 9 and the x-axis.

A: The region is bounded by the curve y=-x2+9=-(x-0)2+9 and the x-axis.

Q: 2x+ 11 3 3 1 dx - X +3 Consider Idx - evaluate dx = x2 + x- 6 X- 2 X-2 x+3 x+3 In +C (x- 2)3 X-2 In…

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Q: dx , find f(0) · Using Trigonometric Substitution 3 (x²+ x + 1) 2

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Q: 12. The slope of the curve y = x2 - e-* at its point of int A. -In 2 В. C. 2+In 4 D.

A: Given query is to find the the slope at inflection point.

Q: 0.2 0.4 0.6 0.6 1 f(x) 32 24 12 8. 10

A: Here we have to compute L5 using the given values.

Q: Select all that apply: □ (5. 똥) □ (5. 플) O (5. -*) (-5, ) □ (-5. 똥) O (-5, -)

A: Polar

Q: f2x² Find uv- v du Using Integration By Parts, dx =uv- du UV- | S12 xe 6 x2 dx 3 x2 6x e dx 02

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Q: Find the volume of the solid by subtracting two volumes, the solid enclosed by the parabolic…

A: Solution: In the plane z =0 the two cylinders intersect x=±1, y=0y=1-x2 meets the y-axis at…

Q: 1. (32.12) Determine the radius of convergence and the interval of convergence n!(2a - 1)". n=1

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Q: 2x3- x² + x + 2 D dx X +1 C Consider find A+B+C+D x4 + x3 y3 4 O 2 O 5

A: We can solve as follows

Q: х х sin sin2 cos 2 dx. 2

A: Given integral : I=∫0π2  sin2x2  cos2x2   dx

Q: Write an equation of the tangent line to the graph of y = f(x) at the point on the graph where x has…

A: Solving

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: Find the two x-intercepts of the function f and show that f'(x) =0 at some point between the two…

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Q: Given the point (-10, ) in polar coordinates, what are the Cartesian coordinates of the point?…

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Q: Evaluate the line integral, where Cis the given curve. (x + 6y) dx + x² dy y (6, 1) C (7, 0)

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Q: Set up the form for the partial fraction decomposition. Do not solve for A, B, C, and so on. -12x-9…

A: Set the partial fraction decomposition of the given form

Q: The line through (- 10,7,10) perpendicular to the plane 9x + 2y + 6z =5 Choose the correct answer…

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

Q: .3 onsider the indefinite integral a - Va + 9 dr: This can be transformed into a basic integral by…

A: Given query is to transform the integral in u and du format.

Q: Compute the given integral. dr 16x2 + 1 +C

A: Here is the solution:

Q: Find dy/dx by implicit differentiation. xe - 18x + 4y = 0 %3D dy %3D xp

A: Given:   To determine: dy/dx using implicit differentiation.

Q: Compute the work required to stretch a spring from 4 to 12 cm past equilibrium, assuming that the…

A: the equation to find workdone is; workdone =(1/2)kx^2   given,  stretching the string from 4 to 12…

Q: Compute the given integral. Jac dx +C

A: Solve the integration

Q: Suppose i = (-3, –3, –5) and v = (-1, –5, –1). Then ů x ở is and i x ũ is

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

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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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: 1 () In solving the antiderivative of f(x) = 2 - 3sin(x) by miscellaneous substitution, the…

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Q: Find the saddle point/s of the function f(x,y) = x + y² +x²y+4 O a. (E ,-1) & (- 2 -1) O b.(4,0) &…

A: Let's find.

Q: Eveluate intelgal 2.

A: Given query is to find the integral.