The following integral may be solved using substitution. Choose a function u that may be used to solve the problem. Then find du. S4x^3 e^x^4 dx Let u=_ so that du= _____dx.

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A: Step 1: Original compound initially,M0​=40g…

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A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

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Q: QUESTION 8 Find a so that 8 Σ 2 α = 15 n=0

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A: Please see the attached image for the solution.Note: sin4π​=22​​ and cos4π​=22​​  If there are…

Q: Help please

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Q: 2. Consider the polar curves r = 4 - 2cosθ and r = 2 + 2cosθ. In this problem, we want to find the…

A: References: Area of polar curves

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A: Step 1:​Given a series here:n=1∑∞​5n(x−5)n​S=n=1∑∞​5n(x−5)n​S=n=1∑∞​(5x−5​)(5x−5​)n−1​Step 2:​Using…

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Q: 10. Let y = f(x) be the solution to the differential equation dy dx = x - y with initial condition…

A: If you have any problem let me know here in comment box for this thankyou.

Q: 18

A: Step 1:Step 2:

Q: Sketch the region enclosed by the given curves. 3 1 y=, y = 12x, y = -x, x>0 12 x y 8 2 2 4 8 y 2 6…

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Q: PLS HELP ASAP ON ALL

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Q: PLS HELP ASAP ON ALL

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Q: We want to use the Alternating Series Test to determine if the series: sin² (kT 2 COS² (KT) k³ k=1…

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A: Step 1: Given function is f(x)=cos(x)−sin(x),0≤x≤3π​ Step 2: it can be rewrite as…

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A: Step 1: Step 2: Step 3: Step 4:

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A: Step 1: Step 2: Step 3: Step 4:

Q: answe Question 3 A firm manufactures a commodity at two different factories, Factory X and Factory…

A: Step 1: Step 2: Step 3: Step 4:

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A: With the graph of function z vs y or trace with x=0we have,z=0+y2or, z=y2

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A: Solution of the given question is like as

Q: Please answer question b

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Q: Evaluate the surface integral F(x, y, z) =xi+yj+6k F. ds for the given vector field F and the…

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Q: 43 14. What is the slope of the line tangent to the curve √√x + √√y = 2 at the point 1 (A) -3 (B)…

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Q: see pic and respond correctly plzzzz thanks

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Q: The formula provided in the question is a power series representation for g(x)= e-x^2

A: Step 1:​The power series of g(x)=e−x2:e−x2=n=0∑∞​n!(−x2)n​​Step 2:​e−x2=n=0∑∞​n!(−x2)n​Expanding the…

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A: If you have any questions let me know in comment box thankyou for your question.

Q: Can you show me the answer to this graph using the picture I provided? Thank you.

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Q: In Exercises 5-10, convert from rectangular to cylindrical coordinates.

A: Step 1:    Step 2: Step 3: Step 4: