- 1 3 x': 5 - 3 *** 1 1 - 2t 5 The particular solution is x, (t) = and x2(t) = .

Q: Let X x b(n,-) and E(3x) = E(3-5.x) find n.

A: Given X ~ B(n, 12) P(X=x)=Cxn px (1-p)n-x; x=0,1,....n…

Q: x+4 Find | dx (x-2)(x+5)(2x-1)

A: Here we use partial fraction to solve the integration.

Q: 2 x = (y-1)² x = 3 y 1 X = 2√y 2 x

A: Step 1:Step 2: Step 3: Step 4: thanks

Q: If f(x) 52-8 ²-8 f (4x) + 1 = for x + √8, what is ƒ (4x) + 1?

A:

Q: Let X b(n,-) and E(x) = E(2– 6x) find n.

A:

Q: If f(1) = 4 and f(n) = f(n – 1) + 3 then find the value of f (4).

A: Given f(1)=4, f(n)=f(n-1)+3

Q: 3 • xy²-2y = x ²cos4x (x-2) • FY+ 2(x-2) ³

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one.…

Q: For which k is the residual term when q (x) = x17 -kx15 + (k-2)x10 + 2x + k2-2 is divided by x-1…

A:

Q: Find f(g(2)). i# ƒ(x) = 1 6 x+1 and g(x) = (x + 3)² O 27 o 47/3 o 3/13 O 50

A: Given: ⇒f(x)=6x+1 ⇒g(x)=(x+3)2

Q: The expression r = = 20/7 x5y y³ 4/7 = yt where: and t = ||

A:

Q: V5 – 1 Given x = find x4 + x3 +2x – 1. 2.

A: Given, x= (√5 -1)/2 = (2.236067977-1)/2 x= 0.618033988

Q: Q4 Integrate the following: (a) 4ln|x³| + C x3 dx (b)+C 4 (c)++C (d)+C

A:

Q: x(0) = -2 () 30 If y(0) I and y(1)-2, what is x(0)?

A: Let

Q: x+2 Determine the (x,y) location of the hole for f(x)=- x² - 4

A: Holes occur when a duplicate factor is cancelled in the numerator/denominator of f(x).

Q: (z)6 x) = x2 – 3x - 4, g (x) = 2x² + 5x + 2 and h (x) = 2x2 – 5x – 3.

A:

Q: determine g(x) 5 G(s) = S² (5+1) 2

A:

Q: show me the steps determine blue and all information is here

A: To prove the following 1) un-vn=-1nu0-v0Jn+1-u-1-v-1Jn+2+bu-2-v-2Jn----2.68 is a solution of the…

Q: Iron Sports have been tracking the sales of boxing bags for a number of weeks. Due to problems with…

A: Given information: Amount of money earn by company in first week = $1500.

Q: 3. Given f(x) = x² +6* + Solve for (2) f(3) (b) f(x +3) Is f(x+3) the same as f(x)+f(3)?

A: The given function is f(x)=x2+6x+9

Q: 1 2 1 | | (x² + y»2 + z²)dzdydx lo Jo

A: To evaluate the given triple integral: ∫-10∫02∫01(x2+y2+z2) dz dy dx=∫-10∫02∫01(x2+y2+z2) dz dy…

Q: Resolve yDx-2(x + y)Dy = 0 O x² + 2y = cy² ○ x + 2 = cy² O x + 2y = cy² Ox+2y=c

A:

Q: ax+26 g(x) = X²+3G-b O<x< 2, X+4 x)2 is continous at every x.

A:

Q: If If h (z) = (x+ 4) – 6, find h(-5) h(-5)=

A: The polynomial is given by h(x) = x+42 - 6 To evaluate : h(-5) = ?

Q: h(x)= 3x+5 j(x)=-2, I-3 What is h(x)/j(x)? What is the domain?

A:

Q: 2 Let s(x) = x ² − 8x + 4 and t(x) = - 2x - 4. Part A: Find s(x) + t(x). Part B: Find s(x) - t(x).

A:

Q: 5z2+2z+1 dz Rzl<2_ (z-i)³ 1z|<2

A:

Q: (3) A production manager determines that t months after production on a new product begins, the…

A: Given: N(t)=17t2+13t2t+12

Q: - 1/5 Find (4) (n) for the function t(n)=5n 7/5 + 6n .

A:

Q: Perform convolution of h(t) and x(t) = (r(t) +r(-t)){u(t + 2) - ust - 2)1 %3D

A: Graph of x(t) is:

Q: Find x (t) 5 (2)^- 2 Z ニ (Z – 2)²

A: Function: In mathematics, a function is a relation between two sets that relates each element of the…

Q: 2x²y" − xy' + (x - 5)y = 0

A:

Q: if f = {(1, −3)} 1) find h(x)=f(−2x−3)+4 2) if k = {(3,5)}, find a and b for which k(x) = af(bx)

A: Given: f={(1,-3)}.   k={(3,5)}

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.