the interval [1, 3] the function is increasing at an increasing rate; (2) on the interval [3, 5] the function is increasing at a decreasing rate; (3) on the interval [5, 7] the function is decreasing at a decreasing rate; and, (4) on the interval [7, 9] the function is decreasing at an increasing rate.

Q: f (x) =, |2х-5 1 (-0,2) U[3,0), (-0,2]U(3, 0) , (-x,2)U[5,0) }. (-0,2) U[5, ) }. The domain of x-2…

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Q: Determine intervals in which solutions are sure to exist (x − 1)y(¹) + (x + 1)y” + (-)y=0

A: (.)  Given differential equation is ,        (.)  Existence Theorem:  Consider an  order linear…

Q: x' (t) = -9 10 -7 (a) x(0) = - 12 -[-] x(t), 14 (b) x(x) = (c) x(-2x)= (a) x(t) = (Use parentheses…

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Q: Find (f - g)(1). our answer (opens in new window) 8 = f = {(1, -2), (0, -1)} and {(5, 0), (1, -3),…

A: (f-g)(1)=f(1)-g(1)f=(1,-2),(0,-1)g=(5,0),(1,-3),2,-4)(-2,4)

Q: what is the domain of g(f (x))?

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Q: Find the open interval(s) on which f(x) = -5x² + 50x+8 is increasing or decreasing. O increasing on…

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Q: fg)(x)=  f(x)=3x−8 and g(x)=x2+16x+63 Use “U” to indicate the union of intervals.

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Q: -10 -5 A) f(x) = 4-X 10- 5 +++> 10 X B) f(x) = -4-X C) f(x) = -4x ute the exact value of the…

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Q: If x G(5,4), then 2X Y = ~ 4

A: Solution

Q: t is the direction of fastest increase at (-3, 4, -4) for the function f(x, y, z) = 1 x² + y² + z²

A: We have to find the direction of faster increase at (-3,4,-4)

Q: Find the critical point(s) of the function. (Select all that apply. The variablesa, b, c, d, e, and…

A: To determine all the critical points of the function f of three variables x, y and z

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.