Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a hemispherical dome with diameter 50 m. Estimate the relative error in computing the surface area of the hemisphere. 0.002 0.00002 0.02 (E) None of the choices 0.2

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Q: Forthe 0.D.E. find all epuiGbiun solitious esify Wem if possifle theun I

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Q: Fix an integer . Prove that the equation xn+xn-1+...+x-1=0 has a unique positive solution.

A: We have to prove that the equation xn+xn-1+...+x-1=0 has a unique positive solution. Explanation:…

Q: T/2 S [costi-sit cos ti – sin 2tj +sin? tk |dt.

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Q: c). i. Find the general solution to this homogeneous equation using the auxiliary equation method…

A: Given: y''-2y'+10y=0

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Q: sket ch for 15e level fucting Surface for Ihe function =カ+ (コ-2)-2

A: The level surfaces of the function: w=f(x,y,z) results, when w=k slices the function: w=f(x,y,z).…

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Q: -3 -6 2 -2 7 -1 -8 -6 1 -7 -3 -9 -5

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Q: Perform the Gram-Schmidt process on the following sequence of vectors. [2" 4 y = 3 3 4 6 -3 -2 -2 4…

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Q: Solve two of the three integrals -* xsin(x) ,x² + 25 20 xsin(x) de 5 + 4 cos(0) -dx (x2 — 2х + 2)2

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Q: 2. Find the area of the region bounded by f(x) = 3x³ - x² - 10x and g(x) = 2x – x². %3D

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Q: Vz - 2 limz→4 Z - 4

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Q: 2 3 4 5 6 7 2 7 1 5 3 1

A: Here given permutation as 12345676271534

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Q: The graph of y=/(x) is given. Graph y=-f(x) + 1.

A: Given graph is

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A: To find the determinant of the given matrix A by row reduced method :-

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Q: 4. State and intuitively explain the Squeeze/Sandwich theorem. Let f(x), g(x), h(x) be functions…

A: Given: The functions fx, gx and hx such that fx≤2, hx=gxfx and limx→0gx=0.   To state and…