2 12.1 Let f(x) = x² for XEIR, and let E:= {XEIR÷-1≤x≤0} and F:= {XER: 0

Q: 6. Let r(x) = 1 + 3r– 10 and s(x) = x- 2. Build a new function, 1(x), for which 1(x)=| State any…

A:

Q: Suppose X and Y are r.v.s such that E(X) = 4, Var(X) = 48, E(Y ) = 2, andVar(Y ) = 5. Find upper and…

A: To find the upper and lower bounds for E(XY), we need to use the Cauchy-Schwarz inequality. For any…

Q: 11. Let f(x) = C•b*. Determine constants C and b so that f(-1) = 10 and f(2) ==. А. 1 В. C = 5,b =…

A: Make two Equation By using given conditions and than solve it.

Q: 5 If f(x) = x + 2, evaluate f (3k +3). k=1

A: given :f(x)=x+2∑k=15 f(k+3)

Q: Find f(t) for each of the following functions: 18s + 66s + 54 a) F(s) (s + 1)(s + 2)(s + 3)' 8s +…

A: The Laplace transform of a function ft is denoted by the function Lft=Fs. The Laplace transform is…

Q: 8. Is the set of functions f₁(x) = 3e³x and f₂(x) = -3e3³* independent? Show using the -3.x…

A: Given functions- f1x=3e3x  and  f2x=-3e-3x To show whether the given set of functions is independent…

Q: Let F(x) = f(x) = x" for x = [a, b] and some positive odd integer n. Show [₁ 62_a²n 2 fdF =

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Q: Let S(2) = ) for |z| <1. 1 n=1 zn Evaluate f(10) (0). You may leave factorials in your answer…

A: In the question we are given a complex function f(z) in terms of infinite series, and we have to…

Q: 7. Suppose f(x) = x³ – 27x + 1. Prove that f has exactly one root (zero) in the interval [0, 2].

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Q: Given a rate of 175 pesos per hour, how many hours should you work to earn 35,962.50 pesos

A: If ∆x is the amount earned in time ∆t, then the equation for the rate of the amount earned per unit…

Q: -2 Suppose f(x) = f(x) dx Evaluate: A - In (2) B - 4 3 16 D In (2)

A: Solution... Answer is.  Option..(B)

Q: 18. Let f(x)=2- |2x - 1. Show that there is no value of e such that f(3) -f(0) = f'(c)(3-0). Why…

A: We have given that f(x)=2-|2x-1|for x&gt;12f(x)=2-(2x-1)=-2x+3f'(x)=-2for…

Q: Show that f(x) = x³ − x² − 3x + 1 has a zero over the interval [0, 1].

A: given function We need to sow that function has a zero on given interval.

Q: 6. Let f(x) be defined as follows: f(x) = {2f x is an integer (1 if x is not an integer Find each of…

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Q: an initial investment of 1500 thousand dol ollars at the end of each of the next two qua The…

A: Given: Initial Investment=$1500000 Further investment=$250000 (Quarterly) Operating cost=$120000…

Q: Linearize x³ + ln x about x=3

A: Let f(x)=x3+ln x about x=3 f'(x)=3x2+1x Recall: Linearization  L(x)=f(a)+f'(a)(x-a)  we have a=3

Q: Consider the function f(t) defined as f(t)= 2t^(2) + 8t+9 for the range -<ts, and extended…

A:

Q: 1. Linearize x³ + ln x about x=3 In

A: Given: Linearize x3+ln x about x=3 To find: To find the linearization of x3+ln x about the point x=3…

Q: 2.59 Find || f |sup if a) f(x) = x on (-1, ). So if x E Q, b) f(x) = – x² .2 if x ¢ Q. -

A:

Q: 15. Let f(x): = 4 e 1 and g(x)= 3x x + 5 Find the domain of (fg)(x).

A:

Q: 20.) Find the linearization, L(x) ,of f(x)=x*+3x² values of f(x) when x=-1 , x=-1.1, x=-1.5 , and…

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Q: 11. Let f(x) be any function with the domain (-o, 0). a) Let e(x) = @)+f(-x), Verify that e(r) is an…

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Q: 10. Let f(z) = 4z7z²+3z +1 and g(z) = 4z7. Show that f(z) - g(z)| < |g(z)| for |z| = 1.

A:

Q: Let f be a function, whose criterion is f (x) = 15x + 11x/4. If F is a primitive of fhe function f…

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Q: 4. Let f(x) = g(x) = x -5, k-(10) +7 = 10 and h (x) = find: ther b. Domain of h(x). c. (hof)(2). (Z…

A: (NOTE:   As nothing is mentioned, so all functions are taken as real valued functions.)

Q: 1. Let f(x) = 12 + 22 + 32 + .+x². Show f(x) is 0(x³).

A:

Q: 3. If f(x)= kx³ -1 and f¹(15) = 2, find k

A:

Q: 1. Determine whether each of these functions is O(x). a) f (x) = 10 b) f (x) = 3x+7 c) f (x) =…

A: As per the policy, we are solving three parts. Please repost it and specify which part is to be…

Q: 7. Modify B(3) to construct a C* function C(2) which satisfies C(2) = 0 if z S 0.. a. b. C(z) = 1 if…

A: please see the next step for solution

Q: Let ˜(x)=3e³x (10−6x)+e³* (−6) Find the value of x that makes f(x) = 0 Pick test values and plug in…

A: Topic:- function

Q: 12. Let f(x) = x + 2 and g(x) = x² - 1. Find (gᵒf)(4)

A: Given two functions 1.f(x)=x+2 g(x)=x^2-1 lets find g(f(x)) at 4