Find the maximum and minimum values of f(x, y) = xy on the ellipse 5x² + y² = 4. maximum value: minimum value =

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A: For a Function f( x ) at If Function is continuous at  then

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A: To find:-

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Q: Use the graph of the function f shown to the right to estimate the indicated function values and…

A: Find the value of the limit

Q: f(x) = 3x5 — 25x³ + 60x on [−2, 3]

A: f(x)=3x5−25x3+60x on [−2,3]

Q: Suppose that 4x²+ 10 x+ 10 < g(x) < 4x²-3x+10 for all 0. Compute the exact value of lim g(x) x-0

A: finding the limit

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Q: LET • (CX)= In [x²(x+5) ³ (x² + 4)⁰7 f'(x) = LET F(x) = \n [X²(X + 3) ³ (X² + 2)²] Cico

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Q: Exercise: 1) fx²e-3x dx 2) f x² Inxdx 3) sin3x cos4x dx

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A: The given polynomial function is  on the interval .

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

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Q: 4. COS V sin v = csc v sin v 5. cot(a) cos(-a) + sin(- α) - csc (α)

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A: For a Function f( x , y ), The directional Deivative in the direction of  is given as

Q: The magnitude of the vector (5,-2, 3) is √/38. Select one: O True O False

A: Given vector is: Let vector

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Q: If lim f(x) = 4 →2 then compute the exact value of x + f(x) lim x→2 Enter your answer as a decimal…

A: The Root Law:The Sum Law:

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A: The given function  and region R

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A: Consider the parametric equation

Q: +² dt F(x) In(t) F(x), determine whether F is inc a dec x>2 at x=2020

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Q: Evaluate the following integral. 36 2 x - 36 36 x²-36 2 dx= dx

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Q: SYSTEM: x + y + z = 6 2x - y + z = 3 3x z = 0 -

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Q: Find all values of x and y such that f(x, y) = 0 and f(x, y) = 0 simultaneously. f(x, y) = x² + 4xy…

A: To find all values of  such that  simutaneously.

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

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Q: Use the properties of logarithms to expand the logarithmic expression. In (34) 94

A: By using the properties of logarithmic functions to expand the expression is     ln(x/94)

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A: In this question, we will find the area of the region.

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Q: √3 4 16 (x-7)(x + 9) dx

A: I=∫3416(x−7)(x+9)dx

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Q: Solve. X-4 7x + 5

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Q: Find the general solution for y-sy+2y=10 Sin x + 1

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = t -√√t,…

A: f(t)=t−t3,[−1,4]

Q: 7. Given F(x)=√√√x+3 A. Find (fo (fog)(x) B. Find (9°F) (2) gof) → g (x) X -2 report domain and…

A: f(x)=sqrt(x+3)g(x)=x2-2.

Q: (a) Find the unit tangent vector on the curve r(t) = [cos (t),2t,3sin(4t)] when t = 0.

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Q: 1. Isolate X.8 (3 + x-4) 4 24+ T (3x + 1 8 = 3x + 1 2x-8 24-9 = X X = 15 T 8

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Q: lim √xe-x/2 x → 00

A: L=limx→∞xe−x/2