Let g(x, y) = 3x²y + y³ - 27y

Q: = [[[In(x² + y² )dxdydz

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Q: Solve the following differential equations of (3x'y+2xy + y' )dx+(x² +y² )dy = 0

A: Given

Q: A lacker 20 feet lon3 is Kanin3 azainst th Wall of a house, The base Of the ladder iS PUICA allay ot…

A: According to the question diagram will be as below Given: dxdt=3 ft/sec To find: dydt

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) y,…

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Q: Find the general solution of the following nonlinear first order variable separable O.D.E.: xdy –…

A: Please see the answer below.

Q: 2х x-1 lim X-3 6- 2х

A: Solving the problem by finding the value of the limit.   NOTE :: As per our Expert guidelines we are…

Q: Solve the following differential equations of (2x* +y)dx+(x'y-x)dy = 0

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Q: The polynomial of degree 4, P(x)P(x) has a root of multiplicity 2 at x=4x=4 and roots of…

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Q: Set-up the integral for the area A(R) of the region R bounded by the circles y2 + x² y2 + x² = 16,…

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Q: Find the gradient of the function at the given point. f(x, y) = 4x + 2y2 + 6, Vf(4, 2) = eBook

A: A detailed solution is given below

Q: Which of the following series can be used with the comparison test in order to conclu that the…

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Q: True or False: For the shell method V = T p (x) h (x) dæ False, this is the disc/washer method True,…

A: This question is based on shell method.

Q: If f(x) = x2 + x and g(x) = x − 8, find f(g(x)) and g(f(x)). f(g(x)) = g(f(x)) =

A: Given problem:- If f(x) = x2 + x and g(x) = x − 8, find f(g(x)) and g(f(x)).   f(g(x)) =   g(f(x)) =

Q: Determine whether the following series is convergent or divergente: (– 1)" n =1 n6 +7

A: The detailed solution is given below Thank you

Q: Find the gradient of the function at the given point. In(x? - y) - 3, (2, 3) Vz(2, 3) -

A: We have to find the gradient of the function z = lnx2-yx-3 at the point 2, 3.

Q: in 5-- 2 34 6. Graph of f The graph of the function f is shown above. Which of the following…

A: here we can see than the f(x) is discontinue at 4  so if function is discontineous it means the…

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: This question can be solved using the concept of domain of vector function.

Q: Find the volume of the solid that results when the region enclosed by the curves x = 1 – y² and æ =…

A: Let's find.

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by y…

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Q: Find f' (x). i f(x) = 3x10 csc-1

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Q: Find the points on the curve where the tangent is horizontal or vertical. x = (t^3) − 3t, y = (t^2)…

A: Given

Q: Use the properties of logarithms to expand log(xz). Each logarithm should involve only one variable…

A: log(xz6)We know that logab+logac=loga(bc)Therefore,log(xz6)=log(x)+log(z6)we know…

Q: A cable 20 ft long that weighs 2 Ib/ft is hanging vertically on top of a 30 ft electric pole. Find…

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Q: Find a polar equation for the curve represented by xy = 4.

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Q: Evaluate the iterated integral by converting to polar coordinates. 8 - y2 Vx2 + y2 dx dy

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Q: Rewrite the polar equation r = 2 sin(0) as a Cartesian equation.

A: A detailed solution is given below

Q: Use the comparison test to verify that the following serie 00 1 Σ n=17+n7

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Q: 3. Ση-1 -1/m By the e n2 series test:

A: We will solve this problem by Abel's test for series

Q: Find the limit of the sequence 7 n + 2 lim Show your work. V2n+7

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Q: [-7, 1] The average value of cos (2z)e1-sin(2z) on is

A: The average value of the function f(z) on the interval a, b is  1b-a∫abf(z) dz.

Q: Using Lagrange multipliers, find three positive numbers whose sum is 18 and such that the sum of…

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Q: 1. Find all the remaining zeros of this polynomial function 2 = x' + x° + 7x´ + 9x – 18, 3 if one…

A: To find all the remaining zeros of this polynomial function.Px=x4+x3+7x2+9x-18, if one zero is 3i.

Q: (a) Find an equation of the tangent plane to the surface at the given point. x + y +z = 11, (4, 5,…

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Q: Determine whether the following series is convergent or divergente: (-1) " n7 +5 n= 1

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Q: 2. A golf ball is thrown up from the surface of Planet X (a made-up planet). The position s of the…

A: s(t)=-0.6 t2 +48 tvelocity is obtained by differentiating position functionv(t)=s'(t)=-1.2…

Q: Find the directional derivative of the function at P in the direction of v. h(x, у, 2) %3D хуz, Р(5,…

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Q: Use the EraPh to fal evaluate te linit f(x) it

A: I am attaching image so that you understand each and every step.

Q: 1. The area of a circle decreases at a rate of 3 feet square a. If the circle starts at a radius of…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Write each pair of parametric equations in rectangular form. Then sketch the curve. 8) x= 4cos t+ 1,…

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Q: Solve (x² + 1) + 2xy = dy 2 dx x2+1

A: The given equation is;  (x2+1)dy/dx +2xy =2/(x2+1).

Q: За - 2 lim x3 - 1 O 2 O does not exist 13 8.

A: lim      (3x-2)/(x3 -1) x -- ∞ here ∞/∞ form so we use la hospital rule we differentiate above and…

Q: Find the equation of the line tangent to Y = 3x² +x + 1 at = -3 %3D %3D O y = -17x - 26 o y = 6x – 3…

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Q: Calculate the integral over a closed path C as given below using Green's theorem. • y?dx + 3xydy The…

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Q: 1 dx ((Va)² – 16 2 x² .

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Q: Write each symbolic statement as an English sentence. p: Taylor Swift is a singer. q: Taylor Swift…

A: Following are some common logical connectives: ∨   -   Disjunction (or) ∧   -   Conjunction (and) →…

Q: Verify Green's Theorem by evaluating both integrals aN aM y2 dx + x2 dA ду ax for the given path. C:…

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Q: A 20-foot cable weighs 80 lb and hangs from the ceiling of a building without touching the floor.…

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Q: Find the solution to   x′=y y′=12x+4y   if x(0)=0 and y(0)=5.

A: we have to solve system of differential equations

Q: Question # 3 Driving From Edmonton To Calgary Reference Q. 15281 Kelcie drove from Edmonton Airport…

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Q: Use the comparison test to test the series n2- 1 n =1 クタ

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