Please show the work for each wuestion

Q: Determine the set of points at which the function is continuous. xy f(x, y) = x² + xy + y² 0 # o…

A: Given function is f(x,y)=xyx2+xy+y2if (x,y)≠(0,0)0if (x,y)=(0,0)

Q: Simplify the expression Show your work 2 T 6x3-17x2+20x-5 3x1 PENCIL THIN BLACK B

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Q: Complete the following steps in order to find a vector-valued function r(t) that satisfies the…

A: Please see the below picture for detailed solution.

Q: As the wheel of radius r cm in the figure rotates, the rod of length L attached to point P drives a…

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Q: Use the limit definition of partial derivatives to find fx(x, y) and f(x, y) f(x, y) = x² - 2xy + y²…

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Q: Find the distance between the skew lines r(t) = (5, 0, – 3)t + (− 8, 7, - 2) and p(s) =(2, 1, 4)s +…

A: I have done solution step by step in detail...go through the solution

Q: Find y" by implicit differentiation. x² +9y² = 9 y" =

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Q: Question 1 Given the graph of y=f(x) in the diagram, sketch the graphs of its first and second…

A: Solve the following

Q: Solve the given differential equation. dy + In xy dx = (10x + In y)dx y=0

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Q: 3 Integrate f(x, y) = y(x² + y²)³ over the domain x² + y² ≤ 25, with y ≥ 0. Added 55 Pak Young FGS…

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: By using implicit differentiation to find an equation of the tangent line  to the curve at the given…

Q: Solve the given differential equation. ex² dy=x√/9-ydx Choose the correct answer below. =9-²+C 4 ○…

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Q: x3 The function f is defined by f(x) = x-2 Find the x-coordinates of all local extreme values of f.

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Q: Consider the vector field F and the curve C below. F(x, y) = (2+ 8xy²)i + 8x²yj, C is the arc of the…

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Q: 2. Assume n, i E N, n > 2, and in Calculate the following. Your answers will be functions of n (and…

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Q: A small resort is situated on an island that lies exactly 6 miles from P, the nearest point to the…

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Q: Calculate the double integral. 4xy² x² + 1 Sk 2 R X dA, R = {(x, y) | 0 ≤ x ≤ 2, -3 ≤ y ≤ 3}

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Q: 1. Find all critical numbers of the function f(x) = 1/3 sin (6x) -x, on the interval 0<x< Show all…

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Q: Graph the curve, y=x²/3 + 1 1/3 X Explain the relationship between the curve's formula and the graph

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Q: A restaurant purchased kitchen equipment on January 1, 2017. On January 1, 2019, the value of the…

A: The given modeled is: Vt=14550 e-0.16t On January 1, 2019, the value of the equipment was $14,550.

Q: Maximize subject to the constraints 10x X y P = 4x + 15y+z y + 7z ≤ 20 3z ≤ 36 + 8y x 20 y 20 z 20…

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Q: The region in the first quadrant between the x-axis and y = x² from x = 0 to x = 4 is rotated about…

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Q: Find both first partial derivatives. sinh(5x + 13y) əz Әх əz ду || ||

A: To find partial derivatives

Q: e following function and its graph to answer parts (a) through OW. f(x) = 5-x, x 4. 10- lim f(x) =…

A: Given query is to find  indicated limits.

Q: Solve the following initial value problem: dy t dt (3²,-²) y5 y(t)= | + = 0, y(1) = 1. 2y4 I

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Q: Calculate the double integral. ₂ yexy dA, R R= [0, 2] × [0, 5]

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Q: Find the limit. lim (3x)² = (Type +0<x (Type an exact answer.)

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Q: Find all critical points of the following functions. રી. f(x)= x² + 10x + 43 -

A: according to bartleby guide line we do only first part (A)  f(x)=-x2+10x+43d dx(xn)=nxn-1

Q: Find the extreme values of the function f(x,y,z) = 5xy + 5z² on the circle in which the plane y - x…

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Q: Calculate the double integral of f(x, y) = over the triangle with vertices A=(3,7), B = (8, 12), C =…

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Q: Problem #3: Find the work done by the force F = 9xy i+ 12y2j acting along the piecewise-smooth curve…

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Q: A cylindral drill with radius 5 cm is used to bore a hole through the center of a sphere with radius…

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Q: Find the absolute extreme values for a(z) = 6 - 476 on [1,2].

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Q: Use the equations m = (Σ*k) (Σγκ) - η Σ×κυκ -n and b = n (Ek-mΣxx) with all sums running from k = 1…

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Q: Use implicit differentiation to find the equation of the tangent line at the given point x² + y² =…

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Q: 10. (9x2 + y-1)-(4y - x) y' = 0, y(1) = 0

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Q: 2x + 3y = 1, reduce this to the intercept form. Draw the line

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Q: (a) Find an equation z = x² - y², of the tangent plane to the surface at the given point. (3, 2, 5)

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Q: Find the directional derivative of the function at P in the direction of v. g(x, y) = √√√√x² + y²,…

A: Given: gx,y=x2+y2, p7,24, v=3i-4j   As we know the expression for the directional derivative of the…

Q: Solve the differential equation. sin x- = 5-y cos x dy dx y=0

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Q: Let D be the region bounded by the graph of y = 1 - x4, the x-axis and the y-axis in the first…

A: The given data is: y=1-x4x=0y=0

Q: A company produces computers. The demand equation for this computer is given by p(q)=−5q+6000. If…

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Q: Sketch the region of integration and evaluate by changing to polar coordinates: 10 f(x) L L For…

A: To find:- ∫510∫0fx1x2+y2dydx fx=10x-x2

Q: 1. Determine the area bound by the following functions and double- check your answer.. y = 4x² + 1,…

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Q: 1. Find the indicated limit or state that it does not exist. (1) lim (x²y+3x) (2) sin(x+y) lim…

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Q: Suppose that a colony of beetles grows exponentially with doubling time 5 years. How many years does…

A: Suppose that a colony of beetles grows exponentially with doubling times 5 years. How many years…

Q: Find the critical points of the following function. f(x) = 9x 2 x² +81 Select the correct choice…

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Q: 2. Find the area of the region between the graphs of ƒ(x) = 3x + 8 and g(x) = x² + 2x + 2 over [0,…

A: Given graph:-

Q: Find the profit function if cost and revenue are given by C(x)= 150 +3.7x and R(x)= 3x -0.06x²

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Q: Determine the intervals on which the function g(x) cosz+sin z on the interval [0, 27] is…

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