Determine whether the integral is convergent or divergent. 3 30 [³ convergent 3-x O divergent Submit Answer dx If it is convergent, evaluate it. (If the quantity diverges, enter DIVERGES.)

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Q: fx³ cos4xdx (you can use short cut method)

A: ∫ x3cos4xdx

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A: The given curves are  x=4-y2,  x=y2-4

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A: We are required to find if the series ∑n=1∞11n-61+12n converges or diverges. We are also required to…

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A: Since you have posted multiple questions i can do first question as per our company guidelines…

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A: use partial derivative for checking the path independent.

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Q: system of equations. 7. x' = 1 1 2 121 2 1 1 X

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Q: οι 1uaSup1 2U1 IO UOLenba au b uomenba

A: Given query is to find the equation of the tangent.

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A: Please seethe below answer.

Q: 2. Logistic Model (a) Find the general solution to each of the given differential equations. (You…

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Q: 3. y = 1+5x Inx

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Q: Define R as the region bounded by the graphs of f(x) = 3x² − 3x + 3, x = 0, x = 1, and the x-axis.…

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Q: Use the Divergence Theorem to evaluate (5x + 11y + z²) ds JJS where S is the sphere x2 + y2 + z2 =…

A: We have to use the divergence theorem to evaluate the integral.

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Q: Use sigma notation to write the sum. 5 5 5 3 + 1 3 + 2 3 + 3 A i = 1 + + + ... + 5 3 + 12

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Q: Solve the following equations. I. Separating the variables 1 x(y - 3) dx dy PERSONAL TUTOR = 4y =

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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Q: (For Marketing & Sales Analysts-Consultants). Four months after the deliveries of goods were…

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Q: A circle has a radius that is decreasing at a rate of 12 mm per minute. What is the rate of change…

A: Let Radius = r Area = A As we know that A = π( r )2 drdt = -12π

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Q: A honey bee population starts with 100 bees and increases at a rate of N (t) bees per 15 week. What…

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Q: 2. L{t7}

A: We have given function to find Laplace transform  Using formula  Ltn = n!sn+1 Put n=7 Lt7 =…

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Q: For each of the following rational functions, determine where the vertical asymptote(s) of the…

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Q: Find the positive critical point of the function f(x) = 242. I x =

A: NOTE: Refresh your page if you can't see any equations. . take derivative