T: R2 R2 is defined by х + 7х, [3x, – 4x2] X1 %3D and B = {u,,u,} and B' = {v,v,}, where %3D -- -- -M) -- [18] 10] [2] u, = 2 u, = 8. 2.

Q: d^2B(u)/du^2 ,but where B(u)= 1/(1+u)^7

A: Given B(u)=1(1+u)7To find d2[Bu]du2:

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: Find *: (a) 4x°y³ + 2x³y-y-2x-4 0. %3D

A: Given  4x5y3 + 2x3y - y - 2x - 4 = 0 We have to find dydx.

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

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Q: 하금 Find au du dx and 좀 하 dy (a) yuand u = x2 +2 dy (b) y = us and u = 4x2-x + 6

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Q: 9. y" - у' - 2у 3 -2t + 4t?

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: if z1 = i and z2= -(3)^0.5– i find the arguments for the quotient

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Q: Let F = (2yz – 3x) i + (3xz + 3y) j – (2xy+ ∞z) k. Find div F and curl F.. |

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Q: (х, у) — ху? + yex- +5

A: we have to find fxx and fyy.

Q: Two points that lie on the line 5x-3y = 15 are (3, 0 O (5, -3) O (5,3) O (0,5) 0 (0, -5)

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Q: (2x–1)4 y = (a²+1)³ ,3 y = xe*°

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Q: Let y = xbex (where b is a real number). Determine y'.   Let y = (3x + 6)/(6x + 12). Determine y'.

A: given y=xbex to find the derivative y' use the product rule uv'=uv'+vu' therefore,…