Express the given function using unit step function: (t ,0st<4 f (t) = |2 , t2 4 A.) f (t) =t+t u (t – 4) + 2u (t – 4) B.) f (t) = t-tu (t – 4) + 2u (t – 4) C.) f (t) = t - tu (t – 4) – 2u (t – 4) D.) f (t) = t+tu (t – 4) – 2u (t – 4)

Q: Consider the function g(t) = 2t2 – 2t.

A: g(t) = 2t² −2tdifferentiate with respect to t,g'(t) =4t -2 Therefore g'(t) =0⇒…

Q: Find maximum and minimum values of the function 2х + 1 2 3

A: fx=13x3-12x2-2x+13 Differentiating wrt x, we get f'x=x2-x-2                                   (1)…

Q: Let f(x) = 4x + 3. Determine (f ofo f)(x). (f o f o f)(x)

A: Composite functions: composite functions are the functions substituted inside the other function.…

Q: Find the Zenro and its ooder for the function flz)=1- Ti+z+Č

A: Given,    f(z) = 1-πi +z + ez   For zero calculation,  Make f(z) =0,    Therefore, z = πi…

Q: t(x, y) x² + y?

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Q: A function f(x) = v1 – x² is

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Q: Evaluate L{f(t)} for t+1, t20, t1, t#2 t=1 t=2 (a) f(t)=3, -3,

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Q: Is the two functions h(t) and g(t), is h-1g-1 (t) = (hg)-1(t)

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Q: 2 (d) T (x) = Væ + 9Væ7

A: T(x)=x+9x73-2x25Formulaamn=amn1at=a-tddxx=n xn-1

Q: or f(x) = Vx – 1, g(x) = x² - 3, find fog and go f. Give the domain of each mposition

A: Given f(x) = x-1           g(x) = x2-31) f∘g(x) = f(g(x))                   =(x2-3)-1…

Q: Let f(x) = 9-5x. Find f(t). f(t) =|

A: given that                                 f(x)=9-5x we have to find f(t). we can find f(t) by…

Q: 2) Differentiate and simplify: f(t) = 2et e2t+ 1

A:

Q: Q (1): Find fxyz for the function: = xe² + ye* + zey a) f(x, y, z) %3D

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Q: Find fax, fxy and fy for the function f(x, y) = 3x³ + 3xy² + 2x³y² + 3y² Select one:

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Q: Find and sketch the domain for the following function: g(x, y) = x-y

A: The given function gx, y=4-x2-4y2x-y. We have to find its domain and sketch its graph.

Q: Let f(x, y) = 3x² + 4y? – axy. (a) Find the values of a such that the graph of f increases when…

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Q: Find スeso and its oder for the function f(z) = 1-x +Z + ě. %3D

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Q: Find the domain of f

A: We have to find the domain of the function: fx=x-2x-6 We know that for any square root function y=fx…

Q: 69. f(x) Vх — 4 3.

A: The domain of function is the set of input or argument values for which the function is real and…

Q: Let f(x) = 5- x and g(x) 2, find: a. (fog)(0) b. (go f)(0) = c. (fo g)(x) Preview d. (go f)(x) =…

A: Value of the above ques is

Q: Find fax, fay and fry for the function f(x, y) = (1+x+y)e¯xy Select one: a. None of these b. fxx –…

A: Consider the given function : f(x,y)=(1+x+y)e-xy

Q: Consider the function f(z) = (a+ 1) x²y² + i(3 + 1)x²y?. Determine at which points the function f(z)…

A: Answer

Q: Express the given function using unit step function: 0st4 A.) f (t) = t – t u (t – 4) – 2u (t – 4)…

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Q: Let f (2) = 1 Find all the points where f (2)is analytic. z + 3

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Q: 2. Find whether the function F-(* - y' )i + (v² - 3x)j + (:² - xy is irrotational.

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Q: Consider f(t) = (6t², 10t3, 3t4). Find ||f"(1)||. Type your answer.

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Q: Q2: Given the function fa) = {(2,1), (,5), (5, lo)) fo, D(f) , R(fw). Find

A: