Calculate xz dS, where S is the cylinder (including the top and bottom) x + y = 16, 0 < z < 5. %3D

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A: Use substitution to reduce the differential equation into linear differential equation.

Q: Evaluate the expression. 14C11 O A. 182 В. 3003 О с. 2,184 O D. 364

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A: Given

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A: Given query is to find the solution of the differential equation.

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Q: 3. The tens digit of a two-digit number is thrice the units digit and their difference is 6. Find…

A: Solution: Let unit digit =x  and tenth digit=y  Now According to question: y=3x ---------(I) y-x=6…

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A: Given, y= sqrt(25-x²) y= 4

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Q: dx (x- 3)

A: As per our guidelines, we are supposed to answer only one question. Kindly repost other questions as…

Q: Question 9 Solve the problem. Find the volume of the region enclosed by the sphere x2 + y2+ z2 = 100…

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Q: Solve the following differential equations of dy 1 -·y = xy'; dx

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Q: Question 24 Solve the problem. Calculate the volume of the parallelepiped with edges a = (2, 4. 1),…

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Q: Question 27 The position vector of a particle is r(t). Find the requested vector. The velocity at t…

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Q: 4. The tens digit of a three-digit number exceeds the hundreds digit by the same amount that the…

A: Given: Let the three digit number be  'xyz'  where x is 100th digit, y is 10th digit and z is units…

Q: 25. z arctan r dr dr 26. Jo (z – 1)² 27. e sin z dr

A: A detailed solution is given below.

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A: Given problem:- Given the function,   f(x) = 5-x using a Riemann sum, estimate the area of the…

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A: Harvest

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Q: Ise Part 1 of the Fundamental Theorem of Calculus to find the derivative of the fum 8(x) = [" 1 dt t…

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Q: Solve the problem. A conitant force F 10+ 30J. moves an object from the point P= (6, 4) to the point…

A: Given  F=16i+30j             P=(6,4) &amp; Q=(3,18) To find work-done:

Q: The astroid curve below is defined by the parametric equations x(t) = 2 cos' t, y(t) =2sin't.…

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Q: Question 5 3 Consider the function f(x) = Let F(x) be the antiderivative of f(x) with F(1) = 0. Then…

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Q: Find the area bounded by the graphs of the indicated equations over the given interval.   y=−4x+12​;…

A: Given query is to find the are of the region.

Q: Follow the instructions. Typewritten for upvote. No upvote for handwritten. Thank you

A: We have to find the number

Q: Write the binomial expansion for the following expression. (1*+1) 5 (1* +1)° = (Simplify your…

A: To write the binomial expansion.

Q: Find the solution of the linear System by esing Al; X, +2X2+3X3 - 5

A: The system of equation can be written as;Ax=BA=123253108 , x=x1x2x3 ,…

Q: Find div F and curl F if F(z, y, z) = 9e#i-9 cosyj+3sin? z k. %3D div F = curl F=

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +8 1 lim t+oo\ 5t2 + 6' 8t (?, ?)…

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Q: Given r = (5, 2, 3) and s = (-4, -2, 2) and t = (3, 4, 1) %3D a. Write the unit vector for S b.…

A: This question can be solved using the concept of unit vector and linear combination of vectors.

Q: Evaluate the line integral / (6x + 2y)dx + (x – 7y)dy along the 10 cos t, y in (0 <t: curve C: x =…

A: A detailed solution is given below.

Q: 2) (-2)77"= 5h hzo

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Q: 19 Suppose that Ts (x) centered at 2 for f(x) is gien by. Is (X=3+5Cx-2)+8(x-2)²+2G-2)°+(x-2) (3)…

A: T5(x) centered at 2 for f(x) is given by,T5(x)=3+5(x-2)+8(x-2)2+2(x-2)3+(x-2)5

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Q: Find the required limit or indicate that it does not exist. lim o+ (in (t6), 12 in t O 6i O Does not…

A: We have to find out

Q: Differentiate. 10. y = e

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Q: ​(A) Find the average value of the function over the indicated interval.   ​(B) Graph the function…

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Q: Let f(x) be the function 2a² – 4x + 11, Then the quotient f(2 + h) – f(2) - can be simplified to ah…

A: The equation of line between two points;(4, -3) and (-3, 0)f'(4)=0+3-3-4=-37passes through (-3,…

Q: Evaluate the integral + 3) (x2 + 3x + 10)*dæ by making the substitution u = x + 3x + 10. + C NOTE:…

A: Solution is done in step 2

Q: (2))? dz: Consider the indefinite integral a) This can be transformed into a basic integral by…

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Q: am confused can you highlight answers please thank u

A: From the original solution the answers are: Intercept: 0, 0 Relative minimum: -5, -110 Relative…

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Q: uestion 19 Describe the largest set S on which it is correct to say that f is continuous. f(x, y, z)…

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Q: Evaluate the definite integral. (Round your answer to two decimal places.) 1 9 (cosh(x))² dx

A: cos h(2x)=cos h2x +sin h2xcos h(2x)=2cos h2x -1cos h(2x)=1+2sin h2xcos h2x =1+ cos h (2x)2

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: Given query is to find characteristics of parabola.

Q: Evaluate the triple integral. Xyz dV, where G is the solid in the first octant that is bounded by…

A: Integral