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Q: find the derivative of the question in the picture please show all work

A: Obtain the derivative of the function.

Q: lim x→-4 x2-16/x+4

A: The given function is f(x)= (x2-16)/(x+4)The limit of the function is to be calculated

Q: Need help solving the equation that is attached

A: x->4^+ means x is slightly greater than 4. That means we have to use the part when x>4 to find...

Q: For the following function f, find the antiderivative F that satisfies the given condition. F(v) =

A: First, we find the general solution using integration.

Q: b. Find the area of the region bounded by Y = xe ax and the x-axis on the interval 0,41, where a> 0....

A: Area of region which is bounded by f(x) and x-axis on [0,4] computed as follows.

Q: Help me please..

A: The Taylor series for cosx at x=0.

Q: x24x 3 + x 1 = xp 7x2 - 2x + C In)x - 1C Inx C 6x 3 Inlx 1 + C 2 5x + 2 Inx 1 C

A: Consider the integral is

Q: How do I solve this differential equation using P(x), Q(x) and v(x)?

A: The given differential equation is,

Q: 1) The substitution u = tanx gives∫(sec2x.tanx)dx = ∫(x)du = 1/2.u2 + C = 1/2.tan2x + CThe substitut...

A: Yes, both integrations are correct by their respective substitutions.Reason:An integral of a functio...