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

Q: 4) Define f: N→R as follows: f(1) = 3, f(2) = 3 and for n > 3 f(n) = f(n- 1) + f(n- 2) %3D %3D 2'…

A: (4) Given data are                                 f:N→Rf(1)=3, f(2)=32 and for…

Q: (8) Let X-b(n,p), with E(X) = 6 and var (X) = 4.2, then P(X ≤ 6) = 0.608.

A:

Q: (a) Suppose X U (0,n), where n is a positive integer X-[X] U (0, 1). (b) Use the result of (a) to…

A: De Moivre's theorem gives an axiom for computing the powers of complex numbers. We first gain some…

Q: The number N of bacteria in a refrigerated food is given by N(T)=20T^2-80T +500, 2<T<14 where T is…

A: Given A) The given functions are NT=20T2-80T+500, 2&lt;T&lt;14Tt=4t+2, 0&lt;t&lt;3 B) The given…

Q: Show that f(r) = O(|x – xo|*) and g(x) = o(]x – roP) imply f. g(x) = o(|x – xo]k+i). - -

A:

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: 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: & 28 root f x+ px'+ q* + rz0 One 3. equals the roob . Prove that px + 9x + r=0 * the ts other sm 3 +…

A: Given that, One root of polynomial x3+px2+qx+r=0 equals the sum of the two other roots. We need to…

Q: Consider the function f(x) = (x - 3)-2. %3D a) Show that there is no value c in the interval (0,5)…

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Q: solution

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Q: Find the length of the graph of f(x) = In(4 sec(x)) for 0 < x <. %3D a) O1/4 In(3) b) 03/4 In(3) c)…

A:

Q: 6x² + 5x + 16 dx x3 + 3x2 + 2x + 6 5 Injx + 3| + in (x² + 2) – vZ tan () +C 5 In|x + 3| + in (x² +…

A: ∫6x2+5x+16x3+3x2+2x+6dx=∫6x2+5x+16x2(x+3)+2(x+3)dx…

Q: Let α = 2 + √2 and β = 2 −√2. Then n ∈ N implies (a) α^n + β^n ∈N and α^n + β^n = [α^n] + 1, (b)…

A: Given:                    α=2+2 and β=2-2 To prove: ∀ n∈ℕ αn+βn∈ℕ and αn+βn=αn+1 limn→∞αn+αn=1

Q: 0 (x² - 1) dx b) using the Simpson Rule with n = 6. Show all work!

A:

Q: 2х + 3, х 1 21 B 19 C 28 D) 16 A.

A: We find out the value of given integral. Follow 2nd step.

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

A: Continuity

Q: show that phi(x)=x^2 is an explicit solution to x*dy/dx=2y on the interval (-inf,inf)

A: .To Show: is an explicit solution of .

Q: Let f(x)=30-2x-x³, then the number of positive integral values of x which satisfy f(f(f(x))>…

A: Solve the given problem

Q: • To find sn, we raise $₁ to the power Sn ||*)/2-1/ 1/n 2-1/2) 2(n+1)/2 |sn|1/n Sn = 1/2 n

A: The given step is

Q: n-1 Show that : [(n) = Ln dx ,n > 0 %3D 1 Show that if n> 0, m =,(n – 2) , then : 2m + 2 3* r (n +3)…

A:

Q: actuaZ D X=Ytmacking weigh Şk.(i-cx-3)³), ifɔ 147 f(x)= 0, otherwise (4) k=? SFxsdx=1) →1=…

A: Given, the PMF, fx=k1-x-32, 2≤x≤40, otherwise

Q: Find u(x, t) for the string of length L = 1 and c² = 16 when the initial velocity is zero and the…

A: In this question, we solve the wave equation…

Q: Q7/ * find f`(2/3), where f(x) =x tan-'(x/2) T/3+v3/4 O H/3+v3/4 O T/3+v(3/4)

A:

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: All extrema of the function f (x)=x* – 2x³ – 9x² +1 _for -2<x54

A: Given that, fx=x4-2x3-9x2+1 and -2≤x≤4 Since, f-2=-24-2-23-9-22+1=16+16-36+1=-3 And…

Q: x' +6x, |2x-4 , x<a Find all values of a such that the function, g(x)=- is continuous xz a…

A: The objective of the question is evaluate the value for which given function is continuous…

Q: i) XEIR, {>0, ln² | ( X-E₁ X + {)) : = {y>0] X= { E X estreng manation 05 -६ X le.e E e tye e².é, é…

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Q: 1 + x² · dx + x3 1 + x? dx (1 + x)³ 121. 122. [Vi+v 123. / Vr. Vi + Vx dx 124. /V1 + Vī + x dx + V1…

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Q: Use Integration by parts to solve x" (In x)" dx en-1 m a) n-1 n x" (In x)m-1dx en+1 b) n+1 m x" (In…

A: Use the integration by parts, we have to solve ∫1exmlnxmdx.

Q: Q2 Let f(x) = 2x3 – 0.0064x² – 1.5x + Ia (a) Indicate that f(x) = 0 has a root in the interval [-3,…

A: let fx=2x3-0.0064x2-1.5x+Id where Id=0.55 (a) indicate that fx=0 has a root in the interval -3,0…