Determine C1 and C2 respectively. Determine c, and c, so that y(x) = c,e2" + cze" + 2 sin x will satisfy the conditions y(O) 1 and -1 respectively D -1 and 1 respectively 1 and -2 respectively -1 and 2 respectively

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Q: ea da (ea + 1)Ve2a + 2eª

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Q: 26 State the Fundamental Theorem of Calculus . you must state the first and the second fundamental…

A: On solving this we will get

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A: Here  we have to find the area of shaded region.

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

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A: We need to find out laplace transform of the initial value problem, which is described in step 2 .

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A: Let's find.

Q: from e'dv Ve4v -16

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Q: solve with complete solution, tell whether the improper integral is convergent or divergent

A: Yes the improper integral is convergent. see below the answer and calculation

Q: 4. Given a function, fix), such that f(x)dx = 10, calculate: a) - r(«)dx b) S rx - 2)dx d) Stsx) +…

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A: topic - area bounded by curves

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Q: 3) Compute the cross product: x

A: Let vectors are given as       a = 4i-j+2k    &amp;   b = -5i -3j+10k

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A: (a) θ=-45°Graph type straight linesymmetry along first and third quadrant     (b) r=8-8cosθgraph…

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Q: Using the function f(x, y) find the following limits. If a limit does not exist, enter DNE. z* + 5y2…

A: On solving this we will get

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A: The objective of the question is converting to polar form.

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A: Here is the solution.

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A: topic- application of derivative

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A: Find your answer below

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Q: dx Which of the following functions satisfy the differential equation = x? dy O x= e o y= e* O x=y O…

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Q: Waat is the degree of the following differential equation? dx dy + x²y dt? d"z = xyz dt? 3 2 O 1

A: The given problem is solved below in detail.

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Q: Find the limit. If the limit does not exist, type DNE. lim (1,9) →(-4, -2) 32 – 5zy =

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Q: Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of…

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