Express the solution as a piecewise-defined function and think about what happens to the graph of the solution at t = 5.

Q: Alpha-Industrial Corporation buys 100 Gallons of lubricants from ABC petroleum, for 90 JOD per gal…

A: Given: Alpha-Industrial Corporation buys 100 Gallons of lubricants from ABC petroleum for 90 JOD per…

Q: Problem 3. Consider the second-order linear ODE: x"(t) + 64x(t) = 0 where x(0) = ? and x'(0) = . (a)…

A:

Q: It has been shown that if m divides n, then Fm is a factor of F₁. Show that this is true for the…

A: Answer :- According to question  If m divides n then Fm is a factor of Fn  Now  (A) here m=2 and n=6…

Q: Find e-ax dx } first integrating and then transforming result.

A: Here we find Laplace transform

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Q: Prove: if z = (V3)/2 + i/2, and %3D then z = i z" = 1 %3D

A:

Q: Use the Disk Method Y= x^(3/2) , Y = (3/2)x , revolved around X = 5

A: First we have to design the integral using the given conditions,  and for that obtain functions of…

Q: How is the antiderivative of a function related to the function?

A: Given: antiderivative of a function related to the function.

Q: When is integrating using the tabular method useful?

A: When is integrating using the tabular method useful?

Q: Deteremine the area between the curves x= y^2+1, x=5, y=-3, y=3.

A: The given region is bounded by curves x=y2+1, x=5, y=-3, y=3. To Find: Area of the region bounded by…

Q: Y~N (100, T) value of PCY >105Y >103) ?

A: Given  Y~N(100,7)