5.) Scosx (69425 Jax Са (9 + 25 sin(x) dx

Q: (c) State the Fundamental Theorem of Calculus Part II.

A: In this question we have to state the Fundamental Theorem of Calculus Part II.

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A:

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A: Explained below

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A: A rectangular pen will be built along the side of a large barn. Three sides will be made of fencing,…

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A: The given integral,        ∫-11e2x1+xdx

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A:

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A:

Q: Solve the initial value problem y" — 2y' — 15y = 0, y(0) = a, y'(0) = −9. Find a so that the…

A: Given: y''-2y'-15y=0, y(0)=α, y'(0)=-9

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A: To find out the wronskian without solving.

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A: We can solve the answers as below by finding the derivatives.

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Q: of x³ (4+x²)² dx ; Use rationalizing substitution

A:

Q: 3. Evaluate the definite integral below: S¯¼ √x² + 2x − 5dx + Sq − √x² + 2x − 5dx

A: To solve the following integral problem

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A: Note to student :    Thanks for posting your queries. But there are multiple questions given. As per…

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Q: a) Find the area of the triangle determined by the given point P₁(1, 2, 4), P2(1,-1, 3), P(-1,-1,2)

A: As per Bartleby guideline, only the first question has been answered. Please repost mentioning the…

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A:

Q: (B): Find the tangent equation to the curve y = sin² x at point x = T-3 π .

A:

Q: Simplify the following witfacet casing the conjugates of the debominator 1-) 25 3+4i

A: Since you are asking multiple questions. We are answering only the very first question as per our…

Q: Find each of the following for f(x) = 6x² - 6x +6. (A) f(x+h) (B) f(x+h)-f(x) (C) f(x+h)-f(x) h

A: In this question we have to find the following given parts in the question.

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A:

Q: Calculate the double integral. 7x S₂ x ² + x²0² +y dA, R= [1, 4] x [0, 1]

A: Explained below

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Q: 7. Use the Method of Lagrange Multipliers to find the extrema value of a function f(x, y, z) = 2x² +…

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