Find the solution of the differential equation that satisfies the given initial condition. du 2t+ sec ec²(t), u(0) = −1 dt 2u

Q: Suppose that f(x, y) = 2x + 2y and the region D is given by {(x, y) | −4 ≤ x ≤ 1, −4 ≤ y ≤ 1}. D…

A: Step 1: The given integration is  ∬D​f(x,y)dxdy=∫−41​∫−41​(2x+2y)dxdy  Step 2: Integrate with…

Q: If g(x)= x² 2 -2x, then g'(x) is equal to which of the following? Og'(x) = x²-2 Og'(x)=x-2 ○ g'(x) =…

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Q: solve it

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Q: #4, 35 Hello! Can you please help me solve this Calculus problem? It's seen in the attached image.…

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A: Step 1:The given function is:f(x)=x2+2−4​,   f′′(x)=(x2+2)3−24x2+16​ Step 2:The required graph of…

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Q: In this problem, consider the curve y=f(x)= 1 1 + √x (a) The derivative function f'(x) = 1 2√√x…

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A: 1. Givenf(x)=x4+1x4​We have the following relation1+x1​=n=0∑∞​(−1)nxnSubstituting x4 in the place of…

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Q: Pls help ASAP. Pls show all work and steps.

A: x=4i+2j​−ky​=−3i+5j​+4kz=−i−j​+2k  ∣∣∣​2x+2y​−z∣∣∣​=∣∣∣​3i+15j​+4k∣∣∣​=32+152+42​=250​≈15.811

Q: Jn D An= n de [F (3½ tui)] で find As and A6 and T=o A by using Taylor Series

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A: Step 1:7t(2t−1)(t2+1)236t3−119t2+12t−7​

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Q: Please help on all asked questions, Pls show all work and steps, and circle the final answer.

A: ANS : ( a )​​  ANS : ( b )​​ ANS : ( c )​​

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A: Step 1: Step 2: Step 3: Step 4:

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Q: Find the derivative of the function. h(x) = √1-x² sin-1(x) h'(x) = Need Help? Read It Submit Answer…

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Q: 6.2.102. Solve x" — x = (t² − 1)u(t − 1) for initial conditions x(0) = 1, x'(0) = 2 using the…

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Q: #4, 21 Hello! Can you please help me solve this Calculus problem? It's seen in the attached image.…

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Q: Please show all steps. Answer is NOT 88.67

A: Given integral: ∬R​7(x+y)dA over the region  R={(x,y)∣4≤x2+y2≤9,x≤0}   Description of the Region R…

Q: Please help on all asked questions. Please show all work and steps. Pls circle the final answer.

A: ANS : ( a )​​   ANS : ( b )​​

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Q: Solve each problem step by step

A: If you have any help please let me know in comment box thankyou.

Q: Help explain step by step

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