1. Express f(t) in terms of the unit step function ue(t) f(t) = t-1, t-3, 1, if t < 1 if 1 ≤ t <3 if 3 ≤ t < 5 if t > 5

Q: Find all x-intercepts for the function f (x) = 4ª-1 – 2º+1 – 12.

A: To Determine: Find all x-intercept for the function f(x)=4x-1-2x+1-12 Given: we have a function…

Q: 1. How to define the function, f(x, y) = 15x+4x*y+15y 3x+3y to make it a continues function?

A: We have to find the given function is continuous.

Q: Find the maximum point for the function f(x) = 1 + 12x – 4x O (-1, -7) O (2, -7) O (0, 1) (1, 9)

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Q: 2十 1. t. a) Express f(t) in terms of unit step functions

A: To express f(t) in terms of unit step functions.

Q: 4. Let D be a subset of R. (a) A point xo in D is said to be an isolated point of D provided that…

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Q: | Find the minimum point for the function f(x) =1 + 12x – 4x (2,-7) (0, 1) Oa.9) (1, 9) O (-1, -7)

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Q: The interval in which the function is decreasing is at x2 бх + 1 2 x3 y = 3

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Q: Find and classify the extreme point of the function f(x, y) 3y2x + x³ - 3y3 - 3x? + 2.

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Q: identify the coordnates of any local maximum or minmum values of the function y=(x+3)2/ e2x

A: y=(x+3)2/ e2x Or, y = (x+3)2e-2x We need to find it's derivative and equate the same to zero.

Q: Let fix) = 8x-3x5 Find where f has stationary points. Perform a sign analysis on the derivative of…

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Q: 10. Find all relative maxima of the given function. y =x* -8x +16x² +10 A) (0,10) B) (2,26) C)…

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