Suppose that f(x, y) and the region D is given by {(r, y) | 1 < # < 2,1 < y < 4}. D Then the double integral of f(æ, y) over D is /| f(x, y)dædy =

Q: Find the centroid (, j) of the region bounded by: . y = 3x + 8x, y = 0, x = 0, and x = 6 %3D y =

A: The given problem is solved below in detail.

Q: b. Find the unit tangent vector and the principal unit normal vector for motion R(t) = (cos 2t)i + (...

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Q: The ordinary differential equation x -y = x is a separable equation dy dx O False O True

A: Given query is to find that differential equation is separable or not.

Q: Let lim an = a and lim bn = b. Therefore n-00 n-00 ii) lim anbn = ab, n-00

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 18j as ...

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Q: Remember: 1- Distribute 2- Combine like terms 3- Cancel with addition or subtraction 4- Cancel with ...

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Q: The solution of the non-exact differential equation (x*e +5dy + (1 +2x²e")dx = 0 is: O x^2 e*y+Inlyx...

A: To determine the solution of the following non‐exact differential equation.x3ey+xydy+1+2x2eydx=0

Q: Jeremy purchases a boat for the price of $31 950. The boat depreciates in value by 19% per year. The...

A: Here we will find the asked quantities,

Q: 34x + 16 f(z) g(z) The partial fraction decomposition of 8x2 can be written in the form of - 14x + 3...

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Q: d Compute [(2r* + 5)(4x–1] at x=} 2 24 Your answer

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Q: The values of C, and C, so that y(x) = C, e3x + C, e-3x satisfies the %3D following conditions: y(0)...

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Q: 1. Use the 8 step algorithm for curve sketching to analyze the key features of the following functio...

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Q: 1. lim(2x + 4) x-3

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

Q: 34x + 16 f(z) g(z) The partial fraction decomposition of can be written in the form of 8x2 - 14x + 3...

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Q: fcac) fCre)ニ2x+5

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Q: 4- 1II Objective Knowledge Check Question 9 SARA V Español Consider the following system of linear e...

A: Reduced row echelon form

Q: DO NOT include spaces in between characters. * d (y -8 de (y° +8 Compute at x =2.

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Q: Find an equation of the tangent line to the graph of h(x)= 2x-x'at the point (-2, 4). Write the equa...

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Q: Given the matrix and its eigenvalues 3- 1-R 1 becomes has eigenvalues R = 1 + i -1 1-R Find the new ...

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Q: nsider the parallelepiped with adjacent edges u = 6i + 7j +k v = i+j+5k w = i+ 7j + 9k d the volume.

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Q: For the demand function q= D(p)3D226-p, find the following. a) The elasticity b) The elasticity at p...

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Q: dy Find using implicit differentiation, for the equation x° + y° = 10 is da %3D y7 y5 y5 o O O O

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Q: (2a +3, 3 is continuous at * = 3. Justify the conclusion. (4) f(3)=| (66) lim f(a)= (éi) lim f(a)= ...

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Q: Evaluate the given definite integral by any applicable method. * 11. | ° cos³y sin³y dy 2 b.: 30 1 d...

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Q: Determine the total work done by the force field F(x, y) =. over a particle that follows the path de...

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Q: dy Find using implicit differentiation, for the equation a + = 11 is. da

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Q: 1J"In xdx 1.5

A: Given query is to find the integral.

Q: The derivative of the function y = log2(In(x)) is:

A: We can find the correct answer as below.

Q: A spherical balloon is being inflated. Find the rate of increase of the surface area S with respect ...

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Q: If the vector field F = (sinx + (7 + c)xy, (c + 1)x² – e') is conservative, then c=

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Q: 1. Find the sum of the first 13 terms of the geometric sequence shown below. 2, 8, 32, 128, ....

A: 1.  The geometric sequence,  2, 8, 32, 128,......2.first term, a=2common ratio, r=-1

Q: Sketch the region enclosed by y = 4x and y 4x2. Find the area of the region. %3D

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Q: Find the minimum distance from the point to the plane x-y+z=3 at (1,-3,2)

A: We will find the minimum distance from the point to the plane x-y+z=3 at (1,-3,2) in the following s...

Q: 8. x- 3x + 2 = -8 9. 7z -3 = 3 +6z 10.-8 -n = n- 4n 11.4n – 40 = 7(-2n + 2)

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Q: -1 23. у + ху — ху" ", y(0) 3

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Q: Sa² -6x +1, a < 6 7-x, x26 Evaluate the following limits for h(x): and Justify your answer. (i) lim ...

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly re...

Q: A potato is launched vertically upward with an initial velocity of 139 ft/s from a potato gun at the...

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Q: Evaluate the integral, if it exists: +z sinx dx z-

A: We will evaluate the integral if it exists in the following step.

Q: If we convert the point (p, 0, 6) = (6,7/6, 5T/6) from spherical to cartesian coordinates, we obtain

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Q: Show solution. 1. Below is the graph of f(x) = |x|. Using the left side of the function with the equ...

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Q: Using an appropriate substitution, 8tan-1x the integral J dx equals: 1+x2

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Q: In (1.06)

A: answer of given question is in step 2

Q: 1. lim 10 2x+1 2. lim X2 *-1 3. lim 4. lim f(x) if f(x) =- if x 2-1 if x>0 if x s-1 if x>-1 5. lim f...

A: Since you have posted multiple questions as per our guidelines we are allowed to answer first three ...

Q: Consider the parallelepiped with adjacent edges u = 9i + 6j + k v = i+j+7k w = i+ 6j + 6k Find the v...

A: The given equations are,  u=9i+6j+k v=i+j+7k w=i+6j+6k.

Q: etermine if the integral is convergent or divergent. valuate the integral if it is convergent. Suppo...

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Q: A bakery works out a demand function for its chocolate chip cookies and finds it to be q = D(x) = 95...

A: Given that, The demand function is following, q = 950 - 14x Where x is the price and q is the demand...

Q: DO NOT include spaces in between characters. Type your answers in the following order and format: a=...

A: Given query is to find the value of a and b.

Q: 102 - Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = a...

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Q: Consider the parallelepiped with adjacent edges u = 9i + 7j + k v = i +j+ 6k w = i+ 9j + 4k Find the...

A: We can find the volume as below

Q: For S(y + 2) /2 –- 3y dy,y = O y = u^(1/3) O y = u^3 O y = u None of the choices

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