18. Let f(x) = ax + b and g(x) = cx + d . What condition must be satisfied by the constants a, b, c and d to make f(g(x)) and g(f(x)) identical ?

Q: Q3) If f(x,y²) = x² + y² + vxy find : af (x²,y) and f(x²y) ax ду

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: 6. Eliminate the arbitrary constants from the relation y=ax² +bx +c.

A:

Q: 2/3' 2/2, Suppose 3z? + 2y² + z² = 1 and z = g(x, y) > 0. Determine g, ) and gy 2/3' 2/2

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Q: 1 max z = 2x, + x2 - x1 + x2 s 1 Xị + x2 s 3 s.t. 2x2 < 4 X1, X2 2 0

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Q: Suppose m and b are constants. What is the linearization of the function f(x) = mx + b at any given…

A: Given function f(x)=mx+b where m and b is constant our aim To evaluate linearization of f(x) at…

Q: 4. Do you agree with the statement that " cubic functions must have at least 1 x-intercept but not…

A: 4. cubic equation must have at least 1 real solution so it must have cut the x-axis once since if…

Q: 1. A company manufactures and sells a televisions per month. If the cost and the revenue functions…

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Q: Determine the equation of the quartic function with the following characteristics x-intercepts at x…

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Q: Eliminate the arbitrary constants of    y= Ae^(5x) + Bxe^(5x) + e^(3x) (Ccos10x + Dsin10x)…

A: Given that y=Ae5x+Bxe5x+e3xC cos10x+D sin10x The objective is to eliminate the arbitrary constants.…

Q: 21) Find the maximum and/or minimum values of f (x, y) = x² + 2xy + 2y² - 6y + 2

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Q: - a°y°, show that fæy = fyx. 85 Problem - 24: Given f(x, y) =

A: Solve the following

Q: Suppose m and b are constants. What is the linearization of the function f(x) = mx +b at any given…

A: Givenf(x)=mx +b where m and b are constantsTo find linearization of f.

Q: Show that B is a linear function of Y,, Y2. Yn Show that B is conditionally unbiased.

A: The regression model is  Yi = βXi + ui We have to show that β is conditionally unbiased.

Q: Suppose the cost per hour incurred in operating a cruise ship is 5a + b^4v^3 dollars per hour, where…

A: Step:-1 Note:-  your cost expression is not clear here as it can be 5a+b4v3   or   5a+b4v3 , So i am…

Q: You will calculate L5 and U5 for the quadratic function y 2² + z + 14 between z = 0 and z = 2. Enter…

A: To solve the following problem

Q: 5. Eliminate the arbitrary constants from the relation y = Ae* + Bxe²*.

A:

Q: Differentiate y = In(x³ + e*) .2 3x+eX А. x3+e-X 3x2-ex В. x3 +e-X 3x2-e-x C. x3-e-X 3x2-e-x D.…

A:

Q: he population density of a city is given by P(x,y)= -20x²-20y +440x + 280y+200, where x and y are…

A: solution is given below

Q: Evaluate S ( + - + e²+ =) dz 3 · 3z 21² In x++²x+}x+ + C Option 1 √√(x³)x= √√√x + √2x+C I- Option 2

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Q: Find the maximum and minimum values of the function f(r, y) = x²y subject to 5æ² + 4y² = 60 Maximum…

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Q: Зх — 4у + 23 (a) f(x, y, z) = '9 – x² – y² –. - V2t – 4 x² – y? - (b) g(x, y, t) : -

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Q: 8. 8 If , f(x-c)dx = 5 where c is a constant, then f (x)dx= -c

A:

Q: 9. If x2-xy + y2 = 3, find y' and y", %3D

A:

Q: A manufacturing company produces two models of an HDTV per week, x units of model A and y units of…

A:

Q: 2. If a runner traveled a distance of d(h) = v16h4 in time t(h) = 3h – 3h - 5h2, what is the…

A: We will find the distance as following.

Q: 8. Use the fact that the critical points of f(x, y) are found when vf(x,y) = 0 to show that (-3,-2)…

A:

Q: 12. If f(x) is a non-constant linear fucntion and g(x) is a quadratic function, then what type of…

A: f(x) is linear function so f(x) can be expressed as  f(x)=ax+b, where a≠0 and b are constants. g(x)…

Q: Suppose m and b are constants. What is the linearization of the function f(x) = mx + b at any given…

A: The given function is: f(x)=mx+bSo,f'(x)=m

Q: If 6x³ +x* –y³ 2x² +y² f(x, y)= if (x, y) (0, 0) if (x, y)= (0, 0) then f,(0, 0)= O does not exist

A: Thanks for the question :)And your upvote will be really appreciable ;) Correct option (A) does not…

Q: 6. 6. If f(x) dx = 37 and g(x) dx = %3D 16, find [3f(x) + 4g(x)] dx.

A: Given that                                           we have to find…

Q: да Given zTan¯¹ (x + y) — ln [1 + (x + y)²] = 5%, what is ду -1 2-2x-2y none of the choices 2- 2x +…

A: ∂∂xtan-1x=11+x2 Note : As per our Guidelines , we can solve first question. Please repost remaining…

Q: With y=c1.x2+k curves and curves x2+2.y2-y= c2 intersect perpendicularly. Where C1 and C2 are…

A: Given two curves are y=c1x2+k   and x2+2y2-y=c2  , where c1 &amp; c2 are arbitrary constants. Let us…

Q: 11. Eliminate the arbitrary constants of cx? + x + y² = 0.

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Q: 14I hox)= x)-0, whese fCn=2 and fとい=8,

A:

Q: We know that f(x, y, z)= x³- 9x² + y² + z² +24x-4z +20. Determine the optimum value of the function…

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Q: 1) If h(x) = x³ +1, find h-'(x). (A) h-'(x) = 3+ (x +2)³ (B) h-(x) = Vx – 1 (C) h-(x) = 2r³ – 3 (D)…

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Q: 9. The total cost and total avenue, in dollars, from producing x couches are given by C(x) = 1000(x²…

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Q: Determine c1 and c2 so that y(x) = c1 e^2x + c2 e^x + 2sin x will satisfy the conditions y(0) = 0…

A: NOTE: Refresh your page if you can't see any equations. . the given solution is…

Q: Suppose that f(x, y) = e e-x² - 2y² + x Then the maximum value of f is

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Q: (14) f (x,y)=e" (x² +y²)

A: f(x,y) = (x^2+y^2)e^-y fx= 2xe^-y fy= -(e^-y)(x^2+y^2)+ 2ye^-y fxx = 2e^-y fyy = (e^-y)(x^2+y^2)…

Q: (2)If ø = xyz – 2 y²z+x²z?. Find div grad ø at points (2,4,1)

A: Given that        Φ =xyz-2y2z+x2z2  Here we have to find div grad Φ at points (2,4,1).

Q: 190.19 b.) 6Xi t 15X2-24 y3 f 40x4 > 69.8 ¥3 15X, + 9x2 -13 V3 -24Y1 参3X t18 y3- 1 Xy = -163 " xy=…

A: Here we use a = x1 b = x2 c = x3 d = x4

Q: 4. Determine the minimum value of the function y = f(x) defined implicitly in the equation x² + 3xy…

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Q: Suppose M = max{2x for x E [0, 4]}, then the value of M is

A: The objective of the question is determine the maximum value of M.

Q: Eliminate the arbitrary constants of: y = xcos(x+c)

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Q: 2) Find the relative maximum or minimum value of f(x, y) = 3x² + 2xy + 10y² - 54x - 308y

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Q: 2 Find / U(x) + 4g(x)]dx if -5 2 2 | f(x)dx = 6 and / g(x)dx = -3. -5 -5 2 [f(x) + 4g(x)]dx = i %3|…

A: Given∫-52f(x)dx=6∫-52g(x)dx=-3

Q: Given the function y = 8e-²x² + 7 sec² 5x – 4 ln x³, find y'. Solution: y' = 4(3)x² x³3 +8(−4x)e-²x²…

A: We will find the y' of the given function in the following step.

Q: 7 If f(x, y) = (3x³ + 2y² – 30)', then fy is - given by :

A: