(æ² + 1)² x²ez² 2(x2 + 1) + C x²ez? 2(z² + 1) -ze +C O A Ов 1 2(x2 + 1) cea 2 2(2² + 1) - 2" +C x²e=² 1 e* + C

Q: Question 1 half of the circle x +y? = 9. Sketch D, and give D in the polar coordinates. Evaluate the…

A: We will evaluate this double integral using polar coordinates.

Q: solution

A: We have to choose the correct option from the given options according to the given information

Q: -. Evaluate f. F dr where F(x,y, z) = e²i + xzj+ (x + y)k and C is given by r(t) = t²i + t°j- tk, 0…

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Q: I need help with this problem. Thank you. Consider the indefinite integral ∫x2(x3+6)3…

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Q: Question 8 Saved If limx→a f(x) 8(x) = 1 and limr-→a g(x) = 0 then, we must have limx→a = True False

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Q: 2x, The graph X;+1° (Continue) Consider the discrete time dynamical system X†+1 = of the updating…

A: We have to find the positive fixed point stable or unstable.

Q: x(z+ 2y)100 = yz – x; Zy and xz.

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Q: 2x + 1 -d.x J (3x – 1) (x² + 2.x + 2)' Evaluate:

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Q: Give an appropriate response. 3) Find the limit of f(x) as x approaches 2 from the left. (-3 if x3…

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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: *(5t² – 3t=3) dt

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Q: 2. SET UP an integral which can be used to find the volume of a solid generated by rotating the…

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Q: 4) Determinė the equation of the tangent to f(x) = -x² + 3x+1 that is perpendicular to the line x+2.…

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Q: dæ 2 (x² + 1)²

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Q: Find f'(x) and f'(c). Function Value of c f(x) = (x + 4x)(5x + 2x - 4) C= 0 %3D f'(x) = f'(c) =

A: A detailed solution is given below

Q: 1. A business wants to manufacture a huge closed box with a square base a square top and rectangular…

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Q: х х sin sin2 cos 2 dx. 2

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

Q: Find the general solution of the differential equation. у" - 400у %3D0 ... y(x) =

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Q: Use a graphing utility to graph the function and find the absolute extrema of the function on the…

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Q: Set up the form for the partial fraction decomposition. Do not solve for A, B, C, and so on. 6s +…

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

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Q: TVy+1-2 dy can be evaluated conveniently if we let x=VVy+1-2 and dy = 4x(x² +2)dx. T True F False

A: follow next step

Q: Find the gradient of the function: y = (5x ln (x)/ 6) + x/3 at the point with x-coordinate 1. Give…

A: We can solve this problem as follows:

Q: dy Given 4x -9y =1. Find by implicit differentiation. dx

A: Given 4x2-9y2=1 To find dydx

Q: Evaluate the integral. 28) 335 B)- 215 A) 325 D) 36

A: Given:      ∫05  3x2 + x +6 dx

Q: X-8 Q18: Select the incorrect step while evaluating S dx. x2-7x+10 x-8 8 I: Let I = dx = S dx - S dx…

A: Given problem:-

Q: 5xy = 4x?z – 3yz?; yx and yz. -

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Q: 5xy = 4x²z – 3yz²; yx and yz.

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Q: Find the average value of f(x)=9x+1 over [4,9]

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Q: I'm having a hard time with 8 I just don't understand

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Q: Find the indefinite integral. (Use C for the constant of integration.) sinh(5 – 2x) dx

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Q: A circle with centre C has equation x² +y² – 6x+4y+4 = 0. (a) Find (i) the coordinates of C, (ii)…

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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: S sin²x cos²x dx 1 sin 4x + C 32 O A none of the choices 1 1 ;sin 4x + C 32 8*+3, sin 4x + C O B

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Q: Question 11 a / f(x) dx: f(x) dx a True False Question 12 If f'(a) = 0, then the function f must…

A: Here we have to use the concept of integration and derivatives.

Q: 11) у - еx4 In x ex4 + 4x4 ex4 In x A). + 4exª In x B) 4x4 ex4 + 1 C) D erg + 4x3 ex4 In x

A:

Q: Question 1 Which of the following are subspaces of R ? Choose all correct answers. {(x, y, z) E R³ |…

A: Only option 1 and 3 are subspace of R^3

Q: Find the area of the region bounded by the graph of f(x) = x(x - 3)(x + 1) and the x-axis on the…

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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: For the function y In (6x) on the interval [1, 9], answer the following questions. (a) Give the…

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Q: X+ 6 2) lim х-6 (х-6)2

A: limx→6 x+6(x-6)2=6+6(6-6)2=120

Q: Find dy/dx by implicit differentiation and evaluate the derivative at the given point. x + y 12xy -…

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Q: Find the derivative. 8) y = (x + 1)2(x2 + 1)-3 dy dx dy = -2(x + 1)(x2 + 1)-4(2x2 + 3x – 1) A) B) Y…

A: We can find the correct answer as below.

Q: /9-x² dx. Use trigonometric substitution. x2

A: This question is related to indefinite integration, we will we will solve it using given…

Q: If f(x,y) = x3y + exy^2, find the derivatives of df/dx and d2f/dxdy.

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Q: Se dt

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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: R={ (x,y): 0<x, 0<y, x²+y? <9} be enclosed region. The result of the following double integral (by…

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Q: Find the indefinite integral using the formulas from Theorem 5.25. (Use C for the constant of…

A: Given:      ∫51+e2xdx

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.