Find the domain t- 1 V8 - t f(t) = 1 + logs %3D

Q: omplete the term-coefficient-degree t yA - y3 + 15y2 + 2y

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Q: f(x) = (13 + 6t² + 1) dt

A: SOLUTION-

Q: Find d2y/dx2 in terms of x and y. x2y2-10x=1

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Q: -f xy + a3 (1

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Q: V121–a² r85-x²-y² 11 x dz dy dx -157+x²+y²

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Q: Determine two positive numbers e and f whose product is 27 and for which the value of 4f +3e is a…

A: Product is 27 and 4f+3e is a minimum.

Q: Suppose the amount of a certain drug in the bloodstream is modeled by C(t)=8te-0.2t ,then the…

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Q: Find the consumer's surplus if the demand for an item is given by D(x) = 72- x, assuming supply and…

A: solve the following

Q: 5T 1 y=-2cos(Gx+っ)+1

A: Phase shift: -5π

Q: 5. (t²-1)(4+3t)dt

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Graph the step function over the interval -2 s x s2. f(x) = [x +3]

A: f(x)=x+3 ,-2≤x⩽2 to evaluate values of these function x -2≤x<-1 -1≤x<0 0≤x<1 1≤x<2 2…

Q: Find d2y/dx2 implicitly in terms of x and y.    x2y − 4x = 5

A: To find the second derivative of y implicitly in terms of x and y.

Q: y'' - 6y' + 9y = x^-2(e^3x) using Methods of Variation of Parameters

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Q: write the domain in interval notation.

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Q: Find the relative maximum and minimum values. f(x.y)= 8xy-x - 4y

A: Given :f(x,y)=8xy-x3-4y2

Q: Q3/ Optimize the function Z = x + x ? Subject to: x1 + x2 4 x1, x2, 2 0 Using Lagrange multipliers.

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Q: Find the linearization of the function at a . f(x) =  x3/4    , a = 16

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Q: f(x) = (x – 3)^2 (3x – 1) Identify the maximum number of turning points.

A: The given function is  f(x)=x-323x-1  We have to identify the maximum number of turning points.

Q: f(x) = %3D 4 — т

A: We will approximate f(x) by the Taylor series. Taylor series of function fx at a is defined as:…

Q: h(x) = Vx – 2 on the domain [2, 5]. -

A: The given graph is:

Q: Find the relative maxima or minima. Maximum of ƒ(x, y) = 12xy - x2 - 3y2, subject to x + y = 16

A: f(x,y)=12xy-x2-3y2 , subject to x+y=16

Q: Find the cubic function f(x) = ax3 + bx2 + cx + d for which f(-1) = 3, f(1) = 1, f(2) = 6, and f(3)…

A: fx=ax3+bx2+cx+d   →1 Put f-1=3 in equation (1), we get 3=a-13+b-12+c-1+d⇒-a+b-c+d=3   →2 Put f1=1 in…

Q: y" - 2y' + 2y = e'cscx

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Q: Find the relative maximum and minimum values. f(xy) = e 6x2 + 4y2 + 8

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Q: Find d2y/dx2 implicitly in terms of x and y.    x2 + y2 = 4

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Q: f(x)=x 2,g(x)=x+1(fog)(x) y (fog)(5)

A:

Q: The product-exchange function for gasoline x and heating oil y, in hundreds of gallons per day, is…

A: From the given information:The product exchange function for gasoline x and heating oil y is:

Q: t² - t dt 0, = (x)6 g'(4) =

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Q: Find the equilibrium point for a product d(x)=40-4X and S(x)=13+ 2X . Round only final answers to…

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Q: Find the linearization at x = a. g(x) = 20x² x - 3 a = 12

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Q: Find the DE by eliminating the arbitrary constants |.cʻy² = xCx- )° %3D

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Q: j. f'(2) appears to have a value of

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Q: Find the linearzation L(x) of f(x)= \sqrt(5x+16) at a=0

A: Given Fx=5x+16 at a=0The objective is to find the linearzatin Lx ofFx=5x+16 at a=0find the…

Q: Y = 0.75X + 0.0042X2 – 0.00023x3 At what level of X, the output will be maximum?

A: Given: .

Q: he equilibrium pul 12) P(x) = -2x + 8, S(x) = 3x + 2 %3D

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Q: Find d3y dx3 of y = x³e-x

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Q: Q3) a) find f sec³ x dx

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Q: At a certain vineyard it is found that each grape vine produces about 10 pounds of grapes in a…

A: Given model of the equation is simplified by expanding the brackets:

Q: 3 dt (d) 4+ 3t2 -2

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Q: Find a quadratic function f whose graph matches the one given.

A: Find a quadratic function f whose graph matches the one given.

Q: Find the general solution of y" = 6y' – 9y where y is a function of x.

A: Given differential equation, y''=6y'-9y Find the general solution of the differential equation.

Q: f(x) = v2x2 – 13 s %3D -

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Q: f(X) = %3D Vx-2

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Q: find the maximum revenue for the function R(x)=356-0.9x^2

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Q: Find the number of units, x, that produces the maximum profit P, if C(x) = 45+4x and p = 60 - 2x. A.…

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Q: Find DF of fcx,y)=x²e° at the point (-2,0)-

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Q: Find the maximum or minimum value of the function. f(s) = s2 - 1.2s + 16

A: f(s)=s2-1.2s+16Formula for the equation isf(x)=ax2+bx+cx=-b2aSo, s=-(-1.2)2  =0.6

Q: find the first order linear y(t)=4et-1-t-1

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Q: Find y' given y = (x³ – x² + 3x + 10)S

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Q: "+y = sec³ x

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