4. The function t:Z15 → Z15 is defined as t(r) = 3r – 5 (mod 15). (a) Find t({2,3, 5, 13}). (b) Find t-"({1,5,7}). (c) Find im t.

Q: A) L{t//4} : (5/4)! a+5 B) L{u-2(t)} C) L{e"u(t)} 8- 5 3! D) L{t*e"} = E) e{icm (;)} 5Cos s(s – 2)…

A: A is false  B is false  C is true  D is false  E is false  The detailed solution is as follows…

Q: 1. Let T = [-2 1 0 5], 5 1 1 0 A = [¦ ¦] ·--[¦ ¦ ). -- [¦ ¦ ¦]. - -[] [16], B = = [1 2] C = D = 0 3…

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Q: Let T: R³ R² be defined by T (C) X2 - [3²1-22] = -3x3 -3 7 -- {~ - [ ] - - [E] - - [ ]} -- ² - {~ -…

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Q: For the function f: (0, 1) → R, f (x) = 2"x+ {2"x}, (n, m e N; n > m), the number of points of…

A: Let's find.

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Q: The Domain of f (x) = V1 – x is 1. [-1, 0) 2. (-∞, 1] 3. (-0, 1) 4. [1, c0)

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Q: 1 1 T+ 2 1 B T+ - T(2)"-1 3(T, T)

A: To prove  βT+12,T+12=πT24T-11βT,T It is known that  βm,n=ΓmΓnΓm+n Now, for m=n=T+12,…

Q: Find f(t). &{ 4s - 1 3 \s² (s + 1)³√ f(t) = 7H(t)-t-7e --(61-5-12) 6t- - e X

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Q: And Justify True OR False f(a, b) = (a-2)² + (6-3)³. Then, we say Pornt (2.31 T f=R²-)R. is local…

A: Given                                                             The stationary point is

Q: Suppose that f'(t)-29 (b)31 (e)none of these

A: Given: Suppose that f'(t)<3 for all t in R and f(3)=1. To find: f(-7)  Lagrange’s mean value…

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Q: Suppose that F(x)=f(g(x)) and g(14)=2, g'(14)=5, f(14)-15, and f(2)=11. Find F(14). O 17 O 20 24 O…

A: Given query is to find indicated derivative

Q: Let a(t), 2 < t< 8 be a positive function. Also, let the function 8(t) be defined as a'(t)/a(t) on…

A: We will find out the required expression.

Q: • The Doman of f(x) = 4 – Vx is 1. (2, 0) 2. [-2,0) 3. [2, 00) 4. [-2,2]

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Q: Only one of the following 5 functions is bijective, Find it Select one: O A. f(x) = 2x - 3 from…

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Q: Let {X} be i.i.d. such that X₁~ Pa(4, 1500) and suppose that N(2) ~ Po(100). Find E[S(4)] and…

A: Given that  be iid. such that  and

Q: show the function is continous dis continou or 2=(2x+3 3メ→1」Xハz F(x)ニ

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

Q: The function f(x)=/25-x' is contionous on

A: It is continuous function.

Q: 1 s) Let f(x, y) = x¹y-²-5ry- ? (graye ! 'e' e7 In (2ry), find fzz, fyy, fry, and fyz. Sadda

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Q: Consider the following bijections on R: f (x) = - g(x) = x – 7 Then (f o g)¯'(x) =

A: Given, fx=-x,gx=x-7 Find the value of f∘g-1x.

Q: 3. Find f. (g) f'(x) = 2x – e

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Q: What is the formula for the total distance traveled by an object with a velocity v(t) = −3+² +9 on…

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Q: z2+5z+6 "f(2) = and C: z=3, then f (z)dz =? %3D3• N-2 O a. 0 O b. #0 Oc f(z) is not analytic O d.…

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Q: 2 4 4 0 -2 2 3 2 1 -1 1 0 05 -2 1. Let A= and C = Let a = 4 -2 -6 5 and 3 =. Compute the following:…

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Q: Let 8 = {(1, 1, 0), (0, 1, 1), (1, 0, 1)} and 8' = {(1, 0, 0), (0, 1, 0), (0, 0, 1)) be bases for…

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Q: • If f(x)= |sgn(x – 1)| then, 1. D; = R R; = {1,0, –1} 2. D; = [1,0) R; = {1,0} 3. D; = R R; = {1,0}…

A: We find domain and range of given functions

Q: 17. The function f(x) = 2 + 2x2 - x* is increasing on: %3D A) (-00, -1) only. B) (-1,0) and (1, c0).…

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.