) Use Reduction of Order to solve the following DE (even though it can be solved using the characteristic equation, get practice using Reduction of Order) Find y as a function of z if 8y" + 16y" = 0, v(0) = 15, v (0) y(z) 17, У' (0)- 16, у" (0)-0. %3D %3D

Q: Fad Fma Samain dgeof fonction Exacises

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: 7 -1,-2.5) 0-5) ,0- S (1-10) 14 -21 (2,20) y-intercept End Behavior: As x oc as x OC

A: Y intercept is the point where x=0

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Q: (3x"-1)(3) %3D 3 Y +1 e 3x"-1 s 3x"+xY =4 %3D -) m =4 30 that 3x +1 %3D 3x4+1

A: See the attachment

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Q: Solve the problem. 2) The graph of y = f(x) in the accompanying figure is made of line segments…

A: derivative of f is slope of graph   slope from ( -5 , 0 ) to ( -3 , 2 ) from  -3 , 2  , 0, -1…

Q: 1 x-2 f(x)=- y g(x)=√x

A: To find the composite function

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Q: x + 4 6. Let f(x) find the following: x - 3 a) f(2) b) f(4) c) domain of f

A: Use the value of x for finding the function.

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Q: Sketch the graphs of the function f(x) = sin x .

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A: The main objective is to find the axis of symmetry of f(x) and maximum height ball reaches.

Q: Pleased show step-by-step

A: The given function is

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A: To write the transformations need to do in f(x) to get g(x).

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A: We wil use concept of inverse function to find the answer.

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A: Power rule of derivative :  (d/dx) (xn ) = n x n-1

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A: Here we can see it is a sin wave standard form of sin wave  y =a sin b(x-c) +d =a sin (bx) +dbut we…

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A: We have to draw the graph of .

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A: Find the function g such that  f(g(x))= ln(2x3+7) and f(x) = ln(x) .