5. Consider the solid S given by the portion of the hemisphere z = √√√4-2² - y² that is inside the cylinder z = √1-(y-1)². (a) ( ts) Sketch the graph of the solid S. (Hint: On the ry-plane, the graph of x = √√1-(y-1)² is a semi-circle.)

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A: Let's find approximate area under the graph.

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A:

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A: Use charpit method

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A: To find: The amplitude, midline and period from the graph and further write the function. Formula…

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A: As per our norms we have to write one question at a time kindly repost remaining questions

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Q: The equation P= 15 sin (2nt) +90 models the blood pressure, P. where t represents time in seconds.…

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Q: Find the area of the region enclosed by the curves y = 4 24 8 16 O O x³ and y = 4x.

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Q: the normal line of the surface [z = (4x^2 + y^2] at the point (1,1,5) O 8x-2y+z=5 O 8x+2y+z=5…

A: We have to find the normal line of the surface.

Q: 2. Evaluate the double integral that will find the volume of a solid bounded by z=1-2y²-3x2 and the…

A:

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Q: A. Consider a 100-meter track used for foot races. The time it takes for a ru run the track can be…

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Q: Find the arc length of the curve x = -2y³/2 from y = 0 to y = 10. Length =

A: Solve the following

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A: According to the guidelines, we are answering first three subparts. Please repost the remaining.…

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A: SOLUTION-

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A: Given.

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Q: 9. Find the particular solution of y" - 2y' + 5y = 0 subject to the initial conditions y(0) = 1 and…

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Q: -valuate the following 3 .4 3 2 x² + 2x³ + 3x² + x + 1 x4+x²

A: A detailed solution is given below.

Q: 5 Use Cartesian coordinates to evaluate [[[ v² av dV D where D is the tetrahedron in the first…

A: Please follow the next step.

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Q: 6) The graph of g'(t) on the interval [0, 10] is shown below. If g(0) = 3, find g(10). g'(t) 4 0 t

A: Let's find value of g(10).

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Q: 4. Evaluate the double integral: So SAFI y¹/3 x7 +1 (Hint: Change the order of integration to dy…

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