et (t2 – 25)y' + ty t + 15 Find the largest interval on which the solution of the initial value problem above is certain to exist for each initial condition. Use "oo" (two lower case o's) for ∞ If y( – 8) = 1 the interval is ( If y(3) 11 the interval is (

Q: Find the maximum and minimum values of the function f(x, y) ey subject to a + y° = 16 Maximum value:…

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Q: If g(x)=5*, then g'(2) is:

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Q: Given function G(x)= 3√2t² - 2 dt. Which V one of the following is true? A) G(3) <G'(3) <G"(3) B)…

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Q: Suppose that it is given to you that f'(x) = (x+6)(12 - x)(15-x) Then the first relative extremum…

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Q: If g(t) = −3t¹ – 5t² – 6 find g(0) -6 g'(0) = 0 (0),,6 -10 g"" (0) g(4) (0) = g(5) (0) = = -72t

A: On doing differentiation  of given function we will get

Q: uestion hat is y' (x) when y(x) = (4x³ + 6x)*?

A: * Logarithmic function property : ln ( an ) = n ln ( a ) * Product rule of derivative : ( f • g )…

Q: nctions f(x) = 3 + VI, 9(x) = x² – 3, %3D (a) (fo g)(x) (b) (go m)(r)

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Q: For each of h(x) find h'(x): (a) h1(x) = . Hint: Use Quotient Rule.

A: Proceed as shown below

Q: If g(t) = 3t4 + 8t? – 9 find - g(0) = g'(0) = g'"(0) : g'''(0) = g(4) (0) = g(5) (0) =

A: Given function g(t)=-3t4+8t2-9.