Starting from the function f(x) = e¬alx| -L 1 where

Q: draw the plot for the signal vs time for  f(t)=5e^−2t,for −1<t<2 zero otherwise over the domain…

A: In this question, we need to plot the graph of the given function f(t).

Q: If f(x) = 6*, then f"(x) = A 6*(In6)3 B 6*(In6) (c) 6* 66 D (In6)3

A:

Q: Find the power function f(x)= cx^k such that f(1) = 2 and f(2)=64

A: Given f(x) = cxk and we have to find the values for c and k.

Q: Let X ∼N(√2 ,(σ^2)), where (σ^2) > 0 is unknown. Suppose we have that P(X > 2√3) = 0.2 . Find (σ^2).

A: From the provided information, X~N (√2, σ2) Here σ2 &gt; 0 P (X &gt; 2√3) = 0.2

Q: Find f. f"(x) = x-2, x > 0, f(1) = 0, f(4) = 0 (x) = -In(x)+ (In(4))x – In(4)

A: Given

Q: 1 •[₁ F(X) -1 Given f(x) dx = 0 and (a) [f f(x) and [₁ f(x) dx. 1 (c) [₁² (d) (b) • [² f(x) dx - [°…

A: (a)

Q: 1 Show that the autoregressive process, AR (3) given by x₁ = x₁-₁ + 2(x₁-2 −X₁-3)+z,, where 12 ( )*…

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Q: Find f'(x) if f(x) 9x (8x+2) 4 2√9x²-6 18x+48 5 (8x+2) 4 -9x² +16x+10 5 4(92²-6) 2 (8x+2) 4 6…

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Q: let k >= 2 show that n= 5^k-1 satisfies the equation 4σ(n) = 5n-1

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Q: Use this function to show that 1+(1/3^2)+(1/5^2)+...=pi^2/8   f(x)=.5-(Summation from

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Q: N(t) = −0.8t^2 + 4t + 11; 0 ≤ t ≤ 6 Find the smallest value of N(t) over the interval 0 ≤ t ≤ 6

A: Given,

Q: Let X ~ N(12, 5). Find the value of x0 such that (a) P(X > x0) = 0.05 (b) P(X x0) = 0.90.

A:

Q: Given the graph of f'(x) below, where is fx) increasing? 6 4 4 6 a) Of(x) is increasing on the…

A: According to first derivative test, if f'(x)&gt;0, then f is increasing and if f'(x)&lt;0, then f is…

Q: f(x) = e^-1/x^2 show that there is no positive number M such that each natural no n, |f^n(x)|&lt;…

A: We need to prove that there is no positive number M such that each natural number n,

Q: 1 Given f(x) (x + 1)(1+2x)x3 Find f'(x). 1 "f(x)= -f(x) x +1 3 2 + - а. X + 1 1+2x O b. gi(x) = -…

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Q: Which of the following statements are true if and only if the sequence of real numbers {n} is a…

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Q: Find the length of the graph of f(x) = ² - In(x) for 1 < x < 10. 99 1 a) 4 -In(10) 99 + In(10) b) 4…

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Q: 1. Let f(z) = (z+1) (7-3z++2)z and I = P.V. Aiirear . dx. (x²+1)*(x²-3x+2)x If p Res f(z)|z=-i»r =…

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Q: *=3 is continuous on: x> 3 R-(0,3} R- {2,3} R- {3} R = (-00, 00)

A: Continuity

Q: if ニ if 1-X fCx +2) = f(x) Hx f on [-3,3] and we Suppose draw the funch'on

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Q: C.I f fX X-X (X-X)² f(X-X)² X2 fX2 d' fd' (d')? f(d')? 54 - 56 51 - 53 305.375625 305.375625 | 3025…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Show that there is a real number t such that (e^−t) − (t^3) = 207/(t^4) + 1.

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Q: Approximately how many multiplications are needed to evaluate p(x) = a,x" + a,1 Xn-1 + ... + a,x +…

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Q: If you are asked to find L4 for f(x) = edz) + In(x) on the interval [2,10], what would the value of…

A: From the given problem:   fx=e3x2+lnxa,b⇒2,10   As we know that the expression for the step size is:…

Q: If f'(x) 7 O f(3) < 6 Of(3) < 2

A: