Find the dimensions of a right-circular cylinder of greatest volume that can be inscribed in a sphere with a radius of 10 in. Selected Answer: radius 8 inches and height = 12 inches %3D 10/6 20/3 Correct Answer: inches and height = 3 radius = inches

Q: 2. Euclidean Algorithm Use the Euclidean algorithm to find gcd(12345, 678).

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A: This question can be solved by differential equation

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Q: Differentiate: y = sinh° (sin 5x) Oy' = 15 cos 5x sinh (sin 5x) cosh(sin 5x) Oy' = –15 sin 5x sinh?…

A: dsinh (ax)dx=a cosh (ax) dsin(ax)dx=a.cos(ax)

Q: 3. Find the general value of z in the complex number: (Note k = any integers) etz = 4v2 + j4v2 O A.…

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Q: 5. Use De Moivre's Theorem to solve all the roots of x^5 +1= 0 O A. 1 cjs [(nt+2nk)/5] ; k = 0, 1,…

A: Given that x5+1=0. We know that  x+iy=r(cosθ+isinθ(x+iy)n=rn(cosθ+isinθ)n =rn(cosnθ+isinnθ)…

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A: We will convert each degree measures to radians in the following step.

Q: 2. Find the principal value of : (V1+jv3 sinh O A. 1.182 + j1.201 O B. - 1.182 - j1.201 O C.-1.182 +…

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Q: Find the coefficient of variation V for (a) the data in Table 2.29 and (b) the data in Table 2.30.…

A: The Coefficient of Variation is given by  CV=σx¯×100where σ=Standard deviation              x¯=Mean

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Q: [(5+ 2i)(-1+ 4i) – 5260°]*

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Q: (x²+1) 3 dx is equivalent to x5 O 4(1+ +) +C x3

A: Given that: ∫(x3+1)13x5dx

Q: 2. Solve the initial-boundary value problem 400 Əx2 0 0 u(0, t) : = u (67, t) = 0 t>0 ди u(x, 0) =…

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Q: 2.42 Using the easier computational formulas, find (a) the variance and (b) the standard deviation…

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