(2x - y) + (2y - x)y' = 0, y(1) = 3

Q: Sketch the region of integration and reverse the order 2 *y+2 1²₁ 1²² f(x, y) f(x, y) dxdy. Your…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 12 + 2x -…

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Q: Sx ³√x²+4 3 S

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Q: Use a graphing calculator or computer to verify the given linear approximation at a = 0. Then…

A: The given function is

Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 4+x² - y2…

A: The given function  and region R

Q: The equation has an unbounded solution. y′′ + 4y = sin x true or

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Q: Find the differential of the function. dy = y = √ 8-t6

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Q: Consider the following. x = e-5t, y = e5t (a) Eliminate the parameter to find a Cartesian equation…

A: Consider the following.To eliminate the parameter to find a Cartesian equation of the curve.

Q: Use spherical coordinates. Evaluate xex + y2 t2 + dV, where E is the portion of the unit ball x² +…

A: To find  E is the portion of the unit ball  that lies in the first octant

Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A: r=6cos⁡(θ),θ=π3

Q: (a) Find and sketch the domain of the function f(x,y)=√x-1+√y-4

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Q: (a) Find the unit tangent vector on the curve r(t) = [cos(t), -t, -4sin(3t)] when t = 0. (b)…

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Q: If the governing equation is do + 1 = g(t), what is the solution g 20 dť² when g(6)=0 and when g(t)…

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Q: Express each function as a composition of two functions. (Find f(x) and g(x) such that the given…

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Q: The graph of y = f(x) is given below. -5 150 num -4 lim f(x) AI-1 -3 -2 5 4 3 2 -1 -1/ 1 2 4…

A: A graph of the function  is given.The aim is to find the given limits.

Q: 1+x² What is the slope of the tangent to the curve y-- 2x when x = 3?

A: y=1+x22x

Q: Find the absolute extrema of the function (if any exist) on each interval. (If an answer does not…

A: f(x) = 2x-7

Q: √3 4 16 (x-7)(x + 9) dx

A: I=∫3416(x−7)(x+9)dx

Q: A boat is pulled by a winch on a dock, and the winch is 12 feet above the deck of the boat (see…

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Q: 2. (y +y²)dx - (y²- 2xy+x)dy = 0

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Q: Suppose f(x, y) = x² + y² - 8x and D is the closed triangular region with vertices (8,0), (0,8), and…

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Q: Find the solution of the following problem. y' - (x + y)(x + y +3) = 1

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Q: Suppose a product's revenue function is given by R(q) = -2q² + 700q, where R(q) is in dollars and q…

A: Revenue function is given by:Where, is in dollars is the units sold

Q: Use the limit definition of the derivative to differentiate the following. Check your answers by…

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Q: Solve the following initial-value problem: dy dx = e sin x 2xy e cos x + x² y(0)=0

A: Given differential equation

Q: find maximum rate of change of f(x,y)=x sin(y) @ the point (2,0)

A: To find the maximum rate of change of at the point .

Q: The form of the partial fraction decomposition of a rational function is given below. A = B = C= Now…

A: Given,

Q: Find B so that AB = 1 = BA, where A = 3 4 5 7

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Q: Find the lines that are tangent to the curve y=2tan(pi*x/2) at x=1

A: The equation of tangent line passes through point  with slope

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: Assume that  are both  differentiable  functions of t.(a) To find , given that (b)  To find , given…

Q: Solve the exact initial value problem 3y² dx + + (³1²575 2²2 + √²4) · + √2y) dy = 0, y(0) = 2, y5 X…

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Q: Plot the point whose polar coordinates are given. Then find the Cartesian coordinates of the point.…

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Q: For each of the described curves, decide if the curve would be more easily given by a polar equation…

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Q: A company is planning to manufacture snowboards. The fixed costs are $100 per day and total costs…

A: Given that,The company manufactures snowboards. The fixed cost is $100 per day and total cost $5100…

Q: The following table shows the daily receipts in millions of dollars of the movie "The Hunger Games"…

A: The following table shows the daily receipts in millions of dollars of the move "The Hunger Games"…

Q: Find the absolute maximum and absolute minimum of the following function on the given interval. 1…

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Q: A school wishes to form three sides of a rectangular playground using 240 meters of fencing. The…

A: A school wishes to form three sides of a rectangular playground using 240 meters of fencing. The…

Q: Given f(x) = 2x³ - 12x² + 4x + 13 The possible inflection value is x = Concave Down interval is O…

A: The given function is

Q: Use a graph to estimate the coordinates of the lowest point and the leftmost point on the curve x =…

A: In this question we will find the lowest and left most point.

Q: Use the alternative form of the derivative to find the derivative of the function f(x) = x³ + 8x, X…

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Q: Find an equation of the tangent line to the curve at each given point. x=2-3 cos 6, y = 3 + 2 sin 8…

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Q: Second Derivative Test 1. Find the first derivative of the function g(x) = 6x³ +54x² + 144x. g'(x)…

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Q: lim √xe-x/2 x → 00

A: L=limx→∞xe−x/2

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: Evaluate the following integral, f (x - 5y) dx - 8y² dy where C' is given by x = y² + 6 from (7, 1)…

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Q: Jo sin(y²) dA, where D is the region bounded by D y = 2x, y = 2, x = 0. Evaluate

A: The D is the region is The figure of region D

Q: (b) Suppose that f(x) = 2x^2 − x^4 . Find the intervals on which f is increasing and those on which…

A: Question no. (b):Suppose that To find the intervals on which is increasing and those on which it is…

Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 5; zeros: 1;…

A: Form a polynomial f(x) with real coefficients having the given degree and zeros.Degree 5 ; zeros: 1…

Q: Find the area of the shaded region. y 3 2 1 (1, 1) 2 y = ³x y || 4 1 X 6 X = 8 CO 8 X

A: Given equations of the curve