3. Let X = {1,2, 3, 4}, Y = {a, b, c} and let f: XY. Prove by contradic- tion that f can't have an inverse function f-. %3D

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A: According to product rule of differentiation and according to power rule of differentiation .

Q: Which among the folowing reletions are considered as functions? (You need to choose all the ccrrect…

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Q: xt=0xt-1 + Et +0€t-1 assuming that ø| < 1, and E(?) = 0², E(et, &s) = 0 ts.

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Q: find The domain of Ha function

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Q: Let 5 —7: х x E хе [3, -2] —4. х —1 х€ (-2, 0) хE (-0, 3) f(x) = 7. х — 3 1 хе(-2, о) Calculate…

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Q: Determine which of the points in the following list lie in the domain of the function f(x, y) =…

A: Let's find.

Q: I. Is the function given by g(x)=x²-3x + 2 continuous over the interval (-4, 4)? Why or why not?

A: Function given is- g(x)=x2-3x+2 continuous over the interval (-4,4) . Wee need to determine whether…

Q: Find functions f and g so that fo g=H. H(x) =x +4 Choose the correct pair of functions. OA. OB. f(x)…

A: Solution

Q: F(x, y) := x² + xy + y² – 1 y – x2

A: Solve the given problem.

Q: Find all relations from S= {1,2} to T = {4,5} Find all functions from R = {2,3} to S = {4,5}.

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Q: Let X=[-1,1] and Y=[0,1], and define the function f:X-->Y by f(x)=x^2. Which of the following is NOT…

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Q: [9] Let A = {a, b, c, d} and B = {1, 2, 3}. Define a function F: A → B as follows: F3(а, 3), (b, 3),…

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Q: The domain of the function fod- tanh(17-) is (A, 198), Then The value of k- The value of A=

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Q: The domain of the function f(x)= cosh (x/ 18) is Select one: O [-18, 18 ] OR-{18} OR-{-18, 18 } O […

A: Given- fx=cosh-1x8 To Find- The domain of the function.

Q: Let f = {(1,-1), (4,-2), (9,-3), (16,4)} and g = {(-1,-2), (-2, -4), (-3,-6), (4,8)}. Show that gof…

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Q: J 3(x)is even function 0 صواب ihi O

A: We will use the fact that j_-n(x) =(-1)^n j_n(x) to decide whether j_3(x) is even or odd function.

Q: 12) y- 3x+ 2x

A: We know that ddxxn = n·xn-1

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Q: How do you show the image of the union of S and T is equal to the union of the image of S and the…

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Q: Assume that the relation x = √500+ 5y² defines y implicitly as a function of x. Determine y" as a…

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Q: Let f(x, y) = Evaluate f(5,5) 175 - 3x² - 4y2

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Q: Locate and classify the discontinuities of f when f(x) = 5x² - 19x - 4 12+x-x² jump dis. x = -4,…

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Q: Surpose x?tu?-5 where x andy are the functions of t. If -3 Find dy when X=R

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Q: Consider the function f(x) = 2x - 1/ x+3…

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Q: Differentiate the function.

A: Given function -f(u) = lnu1+ln(2u)Differentiating with respect to u - f'(u) = ddulnu1+ln2uf'(u) =…

Q: у 3 In(5x — 3) %3D

A: Given: y=ln(5x-3)

Q: 3. Suppose the function f is the single point (6,-9) . Then f inverse is (-9,6) (-6,9) (9,-6)

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