Find the centroid of the region bounded by the given curves. 20) The region enclosed by the parabolas y = - x2 + 8 and y = x2

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Q: 24. Find the area of the triangle having vertices at (4, 5, 6), (4. 4, 5), and (3, 5, 5).

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Q: can you please and write and understand text

A: Apologies for the inconvenience. Here is the solution with improved explanation.    From the graph,…

Q: S(x + e*)²dx

A: Solving the problem by finding the value of the integration.

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A: This question can be solved using the concept of line and plane in three dimensional geometry.

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Q: Find the absolute maximum value of f(x) = x² – 2x + 8 over the interval [0,5|

A: The objective of the question is determine the absolute maximum value of the given function.

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Q: evaluate the following limits (x+3)3-27 limy -20

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Use D-I method

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Q: Please help

A: As per guidelines, I can answer maximum three subparts of a question. Since you have asked for…

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Q: Given the rectangular coordinates (-5, 5), which of the following polar coordinate pairs, in…

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A: ∫ dx/(1-x2)sin-x lets substitute u = sin-x du/dx =1/(1-x2) du = dx/(1-x2)  ∫ du/u = lnu + C put u =…

Q: Please explain briefly. Thanku!

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Q: Find the limit. Use l'Hospital's Rule if it is appropriate. If there is a more elementary method,…

A: Using L'Hospital method, this can be solved very easily. So, I have use that only.

Q: (3 Find the determinant of the matrix 1 -4 D -2 ) 10 ) -10 2.

A: Given problem:-

Q: Y = 1 - x², y = 2 + 2x, and y = 2– 2x

A: Let's find.

Q: find the absolute max and absolute min points for the function f(x) = (2x^4)-(16x^2) + 15  domain…

A: To find the absolute max and absolute min points for the function fx=2x4-16x2+15 and the domain is…

Q: Find the Jacobian of the transformation. x = 4e sin(20), y = er cos(20) a(x, y) a(r, 0)

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Q: The value C for the solution of the initial value problem f'(x) = r - 7r + 3, given that f(0) = 0.…

A: We have to find value of c

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A: A Cotangent graph does not have an amplitude??

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Q: answer all for an upvote

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Q: 24 1 a) Evaluate J x-8xy+16y² dxdy=? 2

A: Given that the double integral  To find:- solve the double integral

Q: Press Es 5. What is the amplitude of the graph below? 4+ -5+ -7- -8+ 4

A: Given problem:-

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Q: Evalua fe the integral 7) Of xy dx sübjcct to the functional relation X = at and

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A: Given: "MacDonna" increased the price of a hamburger according to the formula, P=a·bt where, P is…

Q: Given the following matrices: 8 3 2 3. -3 0 4 1 2:C= 4 -1 2 A=5 6 3 1 0 -2 %3D 3 5 2 -3 2 5 3. Find…

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A: Solution is here

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A: Explanation of the answer is as follows

Q: dx (2x2-5)3

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Q: Determine whether each improper integral converges or diverges, and find the value of each that…

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Q: | (8t3 – 12t2 + 6)dt Evaluate:

A: We can evaluate the given integral by using the following formula.

Q: Apply some trigonometric identities, then integration by

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Q: Consider the region R in the first quadrant bounded by x^2 + y^2 = 4, y = x and y = x/sqrt(3). (a)…

A: The given region is bounded by: x2+y2=4,y=x,y=x3

Q: Determine the area bounded by

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Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³ - y, P(6,…

A: The given function is: f(x,y)=x3-y3 Now,  ∇f=∂f∂x,∂f∂y=3x2,-3y2∇f(6,5)=(3(6)2,-3(5)2)=(108,-75)

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Q: 11. Find the cosine of the measure of the angle between A and B.

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Q: 9. Find the volume of the solid of revolution formed by rotating about the x-axis the region bounded…

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