Eigenvalues: - Eigenfunctions: Yn || y" + xy = 0 with y(0) = 0, y(4) = 0. help (formulas) help (formulas)

Q: 5. (2)(12)(22)= Your answer

A: We first multiply 2 and 12 (2)(12)(22)=2×12×22=(2×12)×22=24×22

Q: need bits after (d)

A: Note- Since you have posted multiple questions we will solve only 3 sub parts as per guideline…

Q: (10) Find Std(X) when X is a discrete random variable with the following given density. (i) f(z) =…

A: Solution Dear student  as  per guidelines we answer the first question only when multiple different…

Q: 20 22. cot 3 - V3 -

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Q: 5. x' = 1 1 6 161 611 X

A: Given : x'=116161611x To find : The solution of the given differential equation . We solve by…

Q: 1 In which number below is the value of the five equal to (5 x o)? A 52.47 C 2.965 B 18.53 D 6.451

A: We will find the number in which the value of 5 equal to 5×110 in the following step.

Q: dz IV100-49(In z)?

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Q: 1. + (х+2)(х-2) x-2 2.

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Q: 9. (16х — 10)° T 67 U

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Q: "((71) = (71)) 11A (9)

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Q: (g) We have a set of vectors: U1 = £1 - L2 + £3 2e1 + £3 = +£2 + 2e3 with which we are going to use…

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Q: t is the direction of fastest increase at (-3, 4, -4) for the function f(x, y, z) = 1 x² + y² + z²

A: We have to find the direction of faster increase at (-3,4,-4)

Q: 2. (10 points) Evaluate 3x² (x3+5)² dx (using substitution)

A: Step 1:Step 2:

Q: 21 1. -49 11 6. 8.

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Q: 51. In (/2+1)

A: