Evaluate the following integral using three different orders of integration. SSL:(x: – y') dV, where E = {(r, y, :)| -1

Q: Find an equation of the plane through the origin that is parallel to the plane 4x – 3y + 6z + 18 =…

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Q: Find the 0lar eauatiDo for the curve represented by the given Cartesian euation.

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Q: 4.Describe the largest set S on which it is correct to say that f is continuous S (x,y) = In(1–x² –…

A: Given problem:- Describe the largest set S on which it is correct to say that f is continuous C.…

Q: Q5) Find volume of body bounded by z? + y2 + x2 9.

A: Given that - x²+y²+z²=9 => (x-0)²+(y-0)²+(z-0)²=3² Clearly which is a sphere with radius,r= 3…

Q: Use the difference table to predict the next term in the sequence. Show your complete formula.  1.)…

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Q: Find the absolute extrema of the function on the closed interval. h(s) = [0, 2] S-3 minimum (s, h) =…

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Q: Q2) Solve the D.E dy - (2x/1-y2)dx 0

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Q: Evaluate the following limit: (x- 2)2 – 4 | lim If it does not exist enter DNE.

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Q: Q2) Solve the D.E dy – (2x/1- y²)dx = %3D

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Q: Q1) Evaluate the following integral using Partial Fractions Method: y = : x³ +x? dx х2 +x — 2

A: Given: y=∫x3+x2x2+x-2dx   We know that; The Power rule: ∫xndx=xn+1n+1+C And ∫1ax+bdx=1alnax+b+C

Q: Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until two…

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Q: 4. Find the Laurent series of the following function : f (z) = (z + 1)(z + 3) 1 region 2 < |z – 1| <…

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Q: Find the value of x such that x satisfies the mean-value theorem at the interval [0. 1] for the…

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Q: Evaluate the limit, if it exists: x²-9 lim *-3 X+ 3 does not exist -6 1

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Q: 1. Find the indicated limit or state that is does not exist lim (3x'y- xy³) а. (x,y)→(1,3) b.…

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Q: The limit represents a derivative f'(a). Find f and a. V3 sin (5 + h) lim 2 h→0 h (Express numbers…

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Q: 1 Evaluate: xInx In Oc -In 6 O d. In 6 l3.

A: The given problem is solved below in detail.

Q: +1

A: I have stated the used formula in the solution

Q: Consider the series 5 + 9 + 13 + How many terms does it take for the sum to be 860? O 21 O 20 O 19 O…

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Q: We are told that the sand is falling onto the pile at rate of 9 cubic feet per minute. We want to…

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Q: A triangular trough 10m long, 4m across the top and 4m deep is being filled with water at a afficed…

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Q: Consider the parametric curve defined by 1=3+5t and y=1+3 Over which values of doesthe curve has a…

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Q: Q2) Convert the polar function r = tan20 to cartesian

A: We know that x = rcosθ, y=rsinθ Given: r=tan2θ

Q: Consider the function f(x) = 3 sin (). Construct the interpolation polynomial which interpolates the…

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Q: Q2) Solve the D.E dy - (2x/1– y²)dx = 0

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Q: Use the first principles definition of the derivative to find f"(2) where Ax) = O a) 0.125 b) 4 c)…

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Q: 1 lim X0-x23

A: Given,limx→ 0-1x23We know that,For x approaching 0 from the left, x&lt;0  ⇒   x23&lt;0The…

Q: Сорy of The global minimum of f(x) = x - 4x over the interval -2<x<3 occurs at what value of x? O a.…

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Q: Solve the D.E dy – (2x/1- y2)dx = 0

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Q: The limit represents a derivative f' (a). Determine f(x) and a. 14h lim 1 h→0 (Express numbers in…

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Q: Let a = (1,2,3),b = (4, –3, –1),c=(-5, –3,5) and d = (-2, 1,6).Find: %3D а. а+ 5b b. [7c| – |5d| c.…

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Q: Find an equation of the plane that passes through the point P(-5, –8,8) and has the vector n = (-8,…

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Q: Q5) Find volume of body bounded by z2 + y2 + x2 = 4.

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Q: Find the distance between the skew lines: x = 4+ 9t, x = 4 – t, y = 3+ 2t, z = 7 – 4t y = 9, z = 8+…

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Q: Appraximate the critical numbers of the function shown in the graph. Determine whether the function…

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Q: Descibe he moton of a partice with position y= 5 sin t; y=2 cos t as t varies in the interval - T, 5…

A: To find the motion of particle.

Q: Q4/ solve the equation by Newton -Raphson Method: F(x) = x* - 5x + 65 , start at x =2, accuracy…

A: Given

Q: At what rate is the distance between the planes changing? Step 1 Let s denote the distance in miles…

A: Topic:- geometry and application of derivatives

Q: Consider the parametric curve defined by x=3+5t and y=1+3t Over which values of does the curve has a…

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Q: Evaluate the following integral using Trigonometric Substitutions Method: 1- x dx 2 y =

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Q: Show that the set of all points P that are twice as far from (-1,5,3) as from (6,2, –2) is a sphere.…

A: The set of all points P that are  twice as far from -1, 5, 3 as from 6, 2, -2. Let coordinate of a…

Q: y = Vx* X

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Q: Which of the following yields the value 318? 3 (8х + 7у) dxdy 0 °0 (8x + 7y) dydx 0 °0 none of the…

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Q: Q4) Evaluate the following integral using Trigonometric Substitutions Method: 2 y = - x dx

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Q: Q2) Convert the polar function r tan20 to cartesian.

A: We have to convert polar equation into Cartesian equation

Q: Q1) Evaluate the following integral using Partial Fractions Method: x3 + x? dx х2 + х — 2 y I|

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Q: Find f"(1) if fx) = x- 2x+ T. O 3n? - 2 O 31? – 1 12 - 21

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Q: Find an equation of the plane that is parallel to the plane x + 2y – 4z + 16 = 0 and contains the…

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Q: Evaluate the following integral using Partial Fractions Method: x3 + x? y = dx %3D x2 + x – 2

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Q: Determine an antiderivative, y, of the given derivative, y. Then use the given condition on y to…

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