Use Green's Theorem to calculate (422 – 3yx)dr + (3xy+ y² + 6)dy where C is the circumference (x – 1)2 + (y – 2)² = 4 consider counterclockwise V

Q: To evaluate the possibility of using pyramid-shaped vessel, the rate of change of the dimensions wer...

A: This question can be solved by using rate of change of physical quantities.

Q: For each problem below: a) Determine the indefinite integral (do not include the "+c" and do not inc...

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Q: Estimate the maximum volume of a conical pile of road salt that can be stored on an area in the shap...

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Q: dy 2. V16 + y²

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Q: following: (a) y = \f(x)| (b) y = f (x) (c) y = JF(x). f(x) y = 2 3

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Q: 2. Σ E(4x – 8)" n= 1

A: The given power series,        ∑n=1∞2nn4x-8n

Q: the weight of an object to its volume. re Density.

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Q: The sequence

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Q: Find the Maclaurin polynomials of orders n= 0,1, 2, 3, and 4 and then find the nth Maclaurin polynom...

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Q: An agriculturist wanted to plant seven different organic crops in a small field. To properly study t...

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Q: II. Determine the derivative of the ff. logarithmic functions 1. y = 25 In 5x 2. y = -10 In 3x4 3. у...

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Q: Complete the table by stating whether the equation is ordinary, partial and linear and non-linear. A...

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Q: 3. Use Squeeze Theorem to evaluate lim 1-0+ sin(In r) In(sin æ)"

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Q: Given: JV5x² - 3 xdx. If we let u= 5x - 3, which of the following u-substitution formula is applicab...

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Q: Within the interval ( -0.92, 1.69 ), for what value of x does f(x) take on a minimum if f(x) = -3 si...

A: Let's find. 

Q: f(x)= (x-2)/(x^2-x+1)^2the intervals on which f is increasing or decreasing (d.) the intervals on wh...

A: Given functionfx=x-2x2-x+12We will answer sub-part c, d and e(c) the intervals on which f is increas...

Q: Let F = %3D So Use Stokes' Theorem to evaluate F · dī, where C is the curve of intersection of the ...

A: Here, the given function is F=xy,5z,4y To use Stroke's theorem: ∫CF·dr=∫∫S∇×F·N^ dA And, ∇×F=ijk∂∂x∂...

Q: a tivb where a, b and c are integers and Solve the following equation, glving the complex roots in t...

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Q: Show that the lines having the equations 4x – 3y + 12 = 0 and 8x – 6y + 15 = 0 are parallel. |

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Q: 22 Use a triple integral to find the volume of the given solid. The solid enclosed by the evlinder x...

A: According to question,Given Cylinder and planes,x2 + z2 = 4y = -1y+z = 4

Q: 2x2 - 1 6 y = х - 2

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

Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

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Q: et Js (0, 1.2,3,4) and define a function g: Js x Js → Jg × Js as follows: For all (a. b) E Js X Js. ...

A: Onto function

Q: Center (-4,3) and P (1,-1) Circle Find the General Form

A: Given Center of circle is (-4,3) and p(1,-1).We know that Distance between center(x1,y1) and point o...

Q: Solve the following differential Equations

A: Given differential equation, x2+y2+1dx+xx-2ydy=0x2+y2+1dx+x2-2xydy=0 Formulas used, ddxxn=nxn-1ddxco...

Q: (-1)+16· 13 . 20.(7k – 8) * Use the formula for the binomial series: (1 + x)" = 1+ mx + m(m-1) m(m-1...

A: solution:-1+xm=1+mx+mm-12!x2+ ... mm-1...m-k+1k!xk              1+∑k=1∞ mm-1...m-k+1k!xk         if ...

Q: xy' + (x + 1)y = x, y(ln(2)) = 1

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Q: Question 21 sin 3x Given: dxWhat is the appropriate formula to find the integral? cos2 (3x) (4- 3 se...

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Q: Solve the components of the given equation of conic sections and sketch the graph а. х — -y2 +1 b. x...

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Q: Do the following: (a) Construct the table of values; (b) graph the function; and (c) find the indica...

A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

Q: Find dy/dx 1. sin^−1(xy) = cos^−1(x − y) 2. sec^−1(2y cos x) = x^y

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Q: Consider the integral 3e 2 dx . Using u-substitution, what is the appropriate u and du? 2e -2r A u =...

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Q: Graph the Parabola. Given: Vertex at (4, -5) and Focus at (4-1)

A: (x-h)2=4p(y-k) , Vertical parabola.Vertex - (h,k)Focus - (h,k+p)

Q: Sow) du. #glu)- u+1 Using u-substitution, the integral reduces to a new integral evaluate the new in...

A: Topic:- integration

Q: 1 and b, = n2 Let a, = A- 2 Calculate the following limit. an lim bn (Give an exacanswer. Use symbol...

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Q: Use the above theorem to find the sum of each series. NOTE: Write your answer in the form of a reduc...

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Q: Question 20 tan (In |4x2|) -dx is b ln Jcos (In |(2x) D[+c.• The integral of What is b?

A: I =∫ tan(ln|4x2|)x dxln|4x2| = t14x2 ddx(4x2) dx = dt8x4x2 dx = dtdxx=dt2Hence, Integral becomes;I=1...

Q: dx The integral can be re-written as (A) (2-2 V1-m ) lim m- 00 B none of the choices lim (-2+2 /1-m ...

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Q: Consider the integral dx . Using u-substitution, what is the appropriate u and du? -2x 3e 2t 2e

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Q: Watch the video on partial fractions decomposition with linear factors before answering the question...

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Q: Express the arc length of the curve y = tan (x) for as an integral (but do not evaluate). Choose the...

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Q: Question 14 3r dx be given. If u=e+2, then the resulting integral is ex+2 du. Compute f (3). Let A n...

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Q: GIVEN: Center (-4,3) and P (1,-1) CIRCLE Find the Standard Form and the General Form

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

Q: 8. What is de x2+1

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Q: Differentiate f(z) = VE. Differentiate f(x) : Differentiate f(z) = (2z² + 1). 4. 5. 6.

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Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)² f(x) = Σ

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Q: ergence and the interval of convergence. Test for Absolute Convergence to the given series. The

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Q: 4. f(x) = (Vx)(x² – 2x) %3D 5. y = (x + i)(x² – 1) %3D

A: derivative

Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)4 Σ f(x) n = ...

A: Explanation of the answer is as follows

Q: Differentiate the functions by using product or quotient rule. a) f(x) = (1 – 3x?)• e Зx+1 b) f(x) 2...

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