dP 5. = P- p2 cet Ans: %3D %3D dt 1-P

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Q: 3.1 Prove: For all a and B in R, Ja + B] > | |a| – |B||. Hint: la + B] = |a – (-B)|-

A: Answer is in below steps.

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Q: Solve for fx(-9, 9) and fy(-9, 9). f(x, y) = 5x2 + 8xy + 4y2 + 6x − 9y; (−9, 9)

A: Solving

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Q: Find the total area of the shaded regions. ... Ay 64 y B+x y 64-xf -10 8-6 -4 | -2 2 46 8 10

A: -8≤x≤9Intersection points:8-x=64-x2x2-x-56=0(x-8)(x+7)=0x=-7, x=8Area bounded=∫-8-7[(8-x)-(64-x2)]dx…

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A: Solving

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Q: 2. 01> 7 ( (E) 1<1<2 and 5 <r<6 OA 旧0 OB 近。

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Q: 9. Given that u = (1,5) and v = (-2,3), determine the following %3D -3u – 4v =

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A: Given: (3,2)

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A: F(x, y)=9y2 ex3 i +2x2 ey jcurl F→=∇×F→curl F→=ijk∂∂x∂∂y∂∂z9y2 ex32x2 ey0         =∂∂x(2x2…

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Q: Step 3 We must also convert xõ dx into an expression involving u. Using du = 9x³ dx, then we get x…

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Q: Find the limit. lim tanh(x)

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