1 Given Perimeter of a rectangle is 130ft Find length and width which will give Maximum Area

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A: Given,            The function is fx=ax+bx≤32x1-1x>3To find : Find the values of a and b such…

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A: Given that the term t of a $200,000 home mortgage at 7.5% interest can be approximated by the…

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A: First find the linear equation at x=1  then find the approximate values

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Q: 7. The function f (x,y,z) = xyz, when subject to the constraint x + 2y + 3z = 72, has one critical…

A: 7. The function f(x, y, z) = xyz, when subject to the constraint x + 2y + 3z = 72, has one critical…

Q: 1 Suppose that L is a location function of an object, given as L(t) = We will compute the 3t – 2…

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Q: O y" + y 0 O y" - 5y' + 4y = 0 O y" + 2y' + 2y = 0 O y" - 3y' - 4y = 0 O y" + 2y' + y = 0 O y" + 9y…

A: Curve

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Q: Find the limit. (If you need to use o or -oo, enter INFINITY or -INFINITY, respectively. Round your…

A: lim  ln(x-2) x--2+ here we can direct apply limit  ln(2-2) = ln0 =  INFINITY

Q: /| J. Let J = xy dA where D is 2 %3D D the region bounded by the x-axis, .3 y = x' and x = 2

A: Intersection points:y=x3, x=2, y=00=x3(0, 0)y=23 =8(2, 8)

Q: Finding Vertical Asymptotes In Exercises 63–68, find any vertical asymptotes of the graph of the…

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A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: Finding a Limit In Exercises 41–48, find the limit (if it exists). If it does not exist, explain…

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Q: (a) Oppositely directed to v = (3, -4) and half the length of v. %3D W3= (?, ?) (b) Length V5 and…

A: To Find : a) A vector which is oppositely directed to v=<3,-4> and half the length of vb) A…

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Q: O Find all velues of sx for whEu tue serics Converjes. for these alues of l, wnte tue sum of tue…

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Q: Show that for x 2 1, cosh (cosh° 3x – sinh° 3x) = In(x+Vx² -1). (b)

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Q: The indicated function y,(x) is a solution of the given differential equation. Use reduction of…

A: Here, De can be written as: y''+14x2y=0⇒P(x)=0, y1=x12ln(x)

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Q: Find the vector component of v = (4, – 1, 7) along b = (2, 6, –9) and the vector component of v…

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Q: Given are two points [1,3] and (6, –1] in the plane. Which equation of the form a ·z + b•y+c=0…

A: (y-y1)/(y2 -y1) = (x-x1)/(x2-x1) (x1,y1 ) = (1,3) (x2,y2 ) =(6,-1) (y-3)/(-1-3) = (x-1)/(6-1)…

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Q: Qi: The dimensions of a rectangular region are varying with the time (t) according to: L = 2t2 -8…

A: Consider a function y=f(x)  Then f '(x) is the rate of change of y with respect to x.

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Q: Find the solution. dy 2y + dx -=x²y²sinx 1 (A) y = х? (sinx - c) B y = x ( sinx +c) y = x²(cosx+c)…

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Q: show

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Q: Let f(x)=x^3-2x^2-4x+104 on the interval [0,3]. A. Find all crirical numbers of F(x) inside [0,3]…

A: We have to calculate absolute maximum and minimum.

Q: Find the demand function q = D(x), given the following elasticity conditions. E(x) = q= 235 when x=…

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Q: How can the area be negative?? This is incorrect! Please correct the answer!

A: Apologies for the inconvenience. Last line was a mistake.    Step 3: Line 2 of the original solution…

Q: Find the inflection points of f(x)=2x^4+19x^3−15x^2+1 (Give your answers as a comma separated list,…

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Q: xD'(x) Find the demand function q = D(x), given the elasticity conditions. Recall that elasticity of…

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Q: Solve the given third-order differential equation by variation of parameters. y"+ 64y' = sec(8x) |3|…

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Q: U(r)= 1/r ln(aX^r+bY^r) U’(r)= ?

A: Here, U(r)=1rln(axr+byr)

Q: Let a ci + j and b 2i + 6j. Find c so that a and b are orthogonal. C =

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