Find det (T) for T:R- R, where T(x,,×2,*3) = (x,- x2, X2 - X3, X3-x).

Q: Estimate f(2.98, –1.99) given that f(3, –2) = 2, f«(3, –2) -3 and fy(3, –2) = -4. = f(2.98, –1.99)

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Q: Use synthetic substitution to find f(2) and f(- 1) for each function. f(x) = x ^ 3 - 5x ^ 2 - x + 6

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Q: Evaluate Function  g(3,4) when g(x,y)=x-6y/x^2+y^2 a. -25/21 b. -5/21 c. -21/25 d. -21/5

A: For this problem, we have to substitute the values of x and y in given function g(x,y).

Q: Differentiate the following function. y=x(x5 + 5) 3 Choose the correct setup below to differentiate…

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Q: For a functionf (x, y), we are givenf (100, 20) = 2250, and f. (100, 20) = 8, andf, (100, 20) = 7.…

A: The detailed solution is as follows below:

Q: Find the derivative of the function. Ax) = 6x (9 - 8x)* O (- 12x) (9 - 8x)' (6x- 9) O (-181 )(9- 82)…

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Q: 6x + 17y df f f(x,y) then i : 6x 17y ду 204x (6а — 17у)? - 204x - (бх — 17у)? 204x (6x + 17y)² 204x…

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Q: of of and ду For the function f(x,y) = In (7x + 9y), find

A: The given function,     f(x,y)=ln7x+9y

Q: of the 7x - 9x-2

A: We have to choose the correct answer from the given options

Q: 1 Q/ show that the real part of the function Z2 is always positive, ZEC

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Q: Let f=​{(0​,8​),(5​,0​),(9​,4​)}. Find f(0)

A: We have given f.  We have to find f(0)

Q: If (áx² +xy):(3xy- y*) = 12 :5,find x : y

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Q: Let à = (-4,-5, 4) and 6 = (2, 4, 0). a Find a x b. хъ.

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Q: If f(x, y) = 7x + 3exy, find the following (a) ax? (b) ду дх (c) Әх ду (d) ay? II II

A: we need find first and second partial derivative