For X~ t (17), give the R code that will compute the following. 1. P(X<-2.1) 2. P(X>1.4) 3. P(0.45

Q: Which of the following expressions has a domain that is a subset of the domain (i.e. set of all…

A: We can find the domain of each function and then find the answer.

Q: a. The population P() of a culture of bacteria is given by P(t) = 5000(2)4, where t is the time in…

A: Given P(t)=5000(2)t4 Basic function with base e is y=a(e)x Lets pick up some points from the given…

Q: f(x) = 6x-1 ax + b 8x-1 for x 1/1/201

A:

Q: - Calculate Rg for f(x) = 10 − x over [3,5].

A:

Q: For Xt(20), ANSWER THE QUESTIONS USING R CODE 1. P (X1.4) 3. P (0.45 < X < 1.21)

A: X ~ t(20) 20 is a degree of freedom of t distribution

Q: Answer all a

A: Substituting x = -5 in the given functions, we get i).  ii).

Q: find f(-2). x+5 if - 3 ≤ x 4

A:

Q: 3. Find the intervals in which the function is concave up /concave down for the function f(x) = x* –…

A: Given : f(x) = x4 - 4x3

Q: (-x if x < -2 4. Let f(x)=x² if-2<x<2 Compute the following function values: (0 if x ≥ 2 a) f(-3) b)…

A:

Q: f(x) — 3(8х- х?)/256 for 0<x. Determine P(2<X<4)

A: It is given that,

Q: Let f(x) = 1.26x* -x² + 1.85x² + 1.32x – 3. Determine the approximate root with at most 15% error…

A:

Q: 10+5R 1. Let f(x) = /2x³ – (R + 1) and k(n) = a. Show that (fof-)(x) = x .Answer the followings: b.…

A: In mathematics, an injective function is a function f that maps distinct elements to distinct…

Q: Given y = f(x) = |x - 2| + |1 − 2x|-|1 - x. Write y as a piecewise function by showing your work for…

A:

Q: for n = 235, we have s(235) = 2^2 + 3^2 + 5^2 = 38. determine whether the function s(n) is an…

A: A function or mapping from X→Y is said to be (a) Injective OR One-One:--A function is said to be…

Q: (x2 – 4x lx + 2 if x > 2 2. Let f(x) = f(x) = find f (5). %3D %3D if x < 2

A: This question is related to functions, We will solve it using given information.

Q: Give that f(x) = x- 4 and g(x) x +3 2. find each of the following: x+ 2 X - 4' a. Find the value of…

A: follow next step

Q: 1 y = 4x-10 +2.5{1.78 ≤x≤ 2.4} ƒ(x) = − (2.2x − 6.2) 4 + 1.7{2.399 2(0.6 – √0.5 – (x − 4)² ) −0.4…

A: The given functions a) y=14x-10+2.5 b) fx=-2.2x-6.24+1.7 c) fx=20.6-0.5-x-42-0.4. We have to…

Q: Q: Find the denvatives of the following functions. i) 20( )

A: Use the chain rule of derivation.

Q: a) For the following functions, f(x)=√√2-x h(t) = t+1 2t² + t-6 2x + 1 x > 3 p(x)= x²₁-1<x<3 -3,…

A:

Q: find the greatest value of the function within the intervals f(x) = /(1– x² )(1+2x²) in [–1,1].…

A: Let's find.

Q: Determine the value A (to 2 decimal places) of the following p.d.f.: A(1-x²) -1<x<1 s(x)= otherwise…

A: Solution

Q: Determine the intervals of concavity for the function 9(x) = xª – x³ - x³ – x² + 8x – 5. Note: If…

A: Concavity.

Q: Find the domains of the following functions. (-1)7–1 п5т n=1

A:

Q: For the following functions, construct and simplify the difference quotient 3) f(x +h)-f(x) ***HINT:…

A:

Q: (2x – 7 forx 2

A:

Q: Let X be x (32). Approximate Pr(18 < X < 53.6).

A: Given: To approximate Pr(18&lt;X&lt;53.6)

Q: 24) f(x) = - 4, if x ≤ 1 3x, if x > 1

A: Here we have to plot the graph.

Q: (s+1)2 f L-²[F(s)] = f(t), evaluate f(0) given by the expression F(s) s(s+2)(s²+2s+2) Express your…

A: Final value theorem of Laplace transform is used

Q: "Fast and Good" is a small pizza place in the center of a big city that sells pizza by piece, as…

A: Probability of getting X =fX /Total