Find the centroid of the region bounded by the graphs of the equations using any method. y = √9-x², V (x, y) = Need Help? Read It y = 0

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A: Given: fx,y=x3y2-3xyWe need to find a) fxb) fy

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Q: 8 [² Given f(x) (a) (b) (c) (d) dx = 16 and 8 Lotn [190 8 ¹L90 [f(x) + g(x)] dx 8 [²² Need Help?…

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Q: 1. (xy² - x²) dx + (3x²y² + x²y - 2x³ + y²)dy = 0

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Q: Use Leibniz's rule to find 히증 11 Textbook dx for y= 0 S 7x² 8t - dt. 8t+1 Ask my instructor

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Q: ات, 01 +19+₂1 x+₂²0 +19+₂. 1. Evaluate

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Q: 1. Determine whether the resulting series when x = -4 absolutely converges, conditionally converges,…

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Q: 1 2 x² +6x+18 -dx

A: A detailed solution is given below. We know that, ∫dx(x+a)2+a2 =  1a tan-1x+aa + c

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Q: 3. (y + ²+ ) dx + (x + xy²)dy = 0 3 2

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Q: (zin z + 5)dz

A: The given integral is [xlnx+5] limit from 1 to 3.

Q: Part c: ( 1. Find the gradient of the function f(x, y, z) = ln(xy) - zx² at the point (1, 1, -1). 2.…

A: We have to find the gradient and directional derivative.

Q: After successfully passing the Technical Written Examinations, you're now at the PRC Main Office ta…

A: Given: there are 5 registrations specialist on different windows faciltaiting registrations, the…

Q: 4. Graph the equation: f(x): = 1, -2x + 4, -2, -3≤x≤0 0 ≤ x ≤ 3. x > 3 -1 5+ 44 3- 2+ +1 -1- -24 -3-…

A: This is a graph of piece wise function

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Q: π/2 The integral f/2 So sin drde is equal to cos 0 O-1/2 O 1/2 0 1 00 10

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Q: Find the limit, if it exists, or show that the limit does not exist. 2 x² - 3y² lim (x,y)→(0,0) x² +…

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Q: Choose the correct answer for the following limit: x²-812 lim (x,y) (0,0) x +9y Select one: O A.…

A: We have to calculate the limit.

Q: Let z =ellxy-56y and x =5616 + 6 and y =sin(s + 56). Use the дz дz Chain rule to find and dt - дл

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Q: Evaluate √xdx f 1+x

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Q: write a possible transformation in function that will transform the ordered pair (-1,4) to the…

A: Transformations.

Q: sin(tan x) cos²x Evaluate ·[³ dx.

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Q: What is the slope of the tangent line to the graph of x^2 - xy + 3y^2 -2x + 4y = 17 at (5,1)

A: We have to find the slope of the tangent line to the graph of x2 - xy + 3y2 - 2x + 4y = 17 at (5, 1)…

Q: x+3y=x².

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Q: Which of the following theorems does not require the differentiability of the given function? a.…

A: We can check in which theorem , the condition of differentiability of the given function does not…

Q: Apply Newton's Method to f(x) and initial guess xo to calculate x₁, x2, x3. f(x) = x³ + 4x + 9, xo =…

A: Concept: Newton raphson method: Another numerical technique to roughly determine a polynomial's root…

Q: Question 2 [ Given the function xye* f(x, y) = 2x³ +50y² a) Find the domain of f. b) Find exist. lim…

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Q: Relative to an origin O. the points A. B. C have position vectors i. J+k. i+j+0k. respectively. The…

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Q: 3. (ey + 1) cosx dx + eysinx dy = 0 [Answer: (ey + 1) sinx = c]

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: If the equation z=squarerootx^2+y^2 equals the spherical equation phi=c, what is the angle of…

A: The given problem is solved below in detail.

Q: x-1 lim x+2+ x - 2 does not exist O +∞ 01 O -∞

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Q: a. f(x)=(x-1)²-3

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: II. Answer the following questions. Write the complete solution set on a clean sheet of paper. -0-…

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Q: 9. The equation of the graph of the shaded region below is most likely to be Im A. |z − 4 + i| ≥ 2√3…

A: The objective of the question is choose the correct option for the region.

Q: An equation of the plane passing through A (1,-1, -1), B (1,0,2), and C (-1,-1,-5) is: 2x+3y-z = 0…

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Q: 6. Find the area bounded by the curve 2y² + 4x + y = 0 and the line y = 2x.

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Q: 23. Given the triangular numbers 1, 3, 6, 10, 15,... Find the 7th and 8th term of the series. a. 26…

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Q: Which is not the about f(x) = |x|? Continuow at O no targent line at 0 Derivative from left at O is…

A: Use the function value to evaluate which one is false

Q: Question a) b) 2xy Consider the function f(x, y) = 4x²+5y² Find the domain of f. Show that the limit…

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Q: Find the derivative of the function y = arctan x + x 1+x²

A: Given: y=arctanx+x1+x2Recall the formulas:ddxarctanx=11+x2     ..........1ddxuv=vdudx-udvdxv2…

Q: Match the functions in Column A with their corresponding antiderivatives in Column B. Column A a.…

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Q: 3) [A Consider the DE: -(4x³y - 16)dy = (6x²y² – 10)dx. A) Show that the differential equation is…

A: Use exact equation

Q: Minimizing Costs For its beef stew, Betty Moore Company uses aluminum containers that have the form…

A: Given  v = pi r^2 h = 45 h = 45/(pi r^2)   the metal used is just the surface area a = 2*pi r^2 + 2…

Q: 9 Evaluate f 99√x 30-x2 -x² 2 dx.

A: ∫4999x30-x322dx

Q: For each polynomial function below, indicate the degree, the leading coefficient, and the end…

A: Given :1. fx=-3x4+2x3-8x2+112. fx=8x3+x2+7

Q: A B O A OB O OD 1 13 (sin(3z))¹⁰ + C 1 33 ſ cos(3z)sin¹⁰(3z) dz 1 3 (cos (3z))¹¹ + C F None of the…

A: Here we have to find the integral.

Q: Is the scalar valued function f(x)=(x^2-1)/(x+1) continuous?

A: This is a problem related to limit and continuity of the function. Please follow the procedure given…

Q: Use an appropriate test to determine whether the series converges. 1 2 3 26² 27² 28² By the + + +…

A: According to question,Given series,1262 + 2272 + 3282 + ........

Q: Which of the following is the partial derivative with respect to x of the function f(x, y)= 4xy + 7x…

A: Given problem:- f(x, y) =4xy+7x+6y-ln(9xy)   To find :- fx(x, y)