Pu 6 • (2, 5) (4, –3) Graph of f 3. The graph of ƒ is shown above for 0 < x < 4, What is (A) –1 (B) 0 (C) 2 (E) 12 om. CAN T CITY 999999, Vietnam

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A: K(t)=?

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A: Given; f(x)=x^2+1/x

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A: To find for given conditions of alpha and k and the system have how many solutions.

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A:

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A:

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A:

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A:

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A: Use geometric series concept

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A:

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A: Use dot product concept

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A: When derivative of f is positive then f is Increasing and when f' is negative f is Decreasing

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A: This question is related to differentiation, We will solve it using given information.

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A: Given query is to find the Indicated derivative.

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A: Let's find.

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A: We have to find if the series convergent or divergent.

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A:

Q: 6) Find the SVD of the matrix by manually calculating U 4 11 14 A = 8 7 -2]

A:

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A: To verify green's theorem by evaluating both the integrals.

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A: Given problem:-

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A: Consider

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A:

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A:

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A: Use geometric series sum concept

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A:

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A:

Q: 5. [sin-' x dx Ans. x sin'x - V1-x² +

A: We will use integral by parts to evaluate integration of arc sinx

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Q: 3. Use the Fundamental Theorem of Calculus to evaluate the definite integral 16 x Vx dx 4

A: Given: ∫416xxdx Simplifing the given integral∫416xxdx=∫416x(x12)dx                 =∫416x1+12dx…

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A:

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A: To determine the solution of the given differential equation.

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A:

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A: Here we have to find the volume.

Q: Question 2 Find the inverse Laplace transform of H(s) - (;+)-

A: H(s)=1s2-e-s1s2+2s+e-4s4s3+1s L-1{H(s)}=L-11s2-e-s1s2+2s+e-4s4s3+1s…

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A:

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A: Here we have to find line integral.

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A:

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A:

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A:

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A:

Q: 4. a) Find the average value of the function over the given interval. f(x) [4, 25] Vx'

A:

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A:

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A:

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A: Given query is to find the solution of the system of equations

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A: We can solve this as follows:

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A:

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A: Given query is to find the limit of the expression.