4.

Q: Find the transform of the function:g (t) = t3/2

A: The objective is to find Laplace Transformation of the function gt=t32  

Q: solution?

A:

Q: dy The order of the differential dy +7. + sin x = is 12 dx? dx O 2 O 1 7 O not defined

A: We Know Order of a differential equation is the order of the highest derivative (also known as diffe...

Q: If f is analytic and has a pole at z = a, then f(z)| → 0 as z → a in any manner.

A:

Q: Two fair six-sided dice are rolled. What is the probability that the sum of the two dice is less tha...

A: Probability

Q: Q.2// Solve the following pair of simultaneous differential equations Using Laplace Transform: dy dt...

A: By Laplace Transformation we know that, 1. ℒ(sinat) =a2s2+a2 2. ℒ(eat) =1s-a

Q: Find the general solution to the Differential equation px (x – 2) – p (2y – 2xy – x + 2)+ y² + y = 0...

A: First for the quadratic equation solve for p:  p=2y-2xy-x+2±2y-2xy-x+22-4·xx-2·y2+y2xx-2  =2y-2xy-x+...

Q: Find the solution for the damped motion. my'' + cy' + ky = 0 with m = 10, k = 90, y(0) = 0.16, y'(0)...

A:

Q: (D^2-1)y=5sinx

A: The given differential equation is D2-1y=5 sinx The solution cam be given by  yx=C.F. +P.I. Where C....

Q: m and n are relatively prime if and only if am+bn=1 for some integers a and b.

A: It is given that :am+bn=1--(1) for a,b,m,n ∈ Z Now, if  k divides both m and n, then there exist p a...

Q: x2 +3 (i) e* = 1+x+ 2! 3! 4! +. 5! (1) x3 (ii) sin x = x – 3! x7 + 7! 5! (2)

A:

Q: The diffakential equotion af Sc sinx after eleminating of the ar bitrary constant eis

A: The order of the differential equation is equal to the number of arbitrary constants. the given equa...

Q: Evaluate the following Cantor functions: (a). ^ (9/13) (b). (0.93)

A: Given: (a)^(9/13) (b)^(0.93) The objective is to evaluate the cantor functions

Q: Given the equations, solve by Gauss elimination and substitute results into the original equations t...

A: Write in the matrix form  82-210241222x1x2x3=-246 operate R1→18R1 114-1410241222x1x2x3=-1446 operate...

Q: Find for the following function: dx 1- y = sin-1 V2x + 3

A: See the attachment

Q: I would appreciate the help. Thanks in advance

A:

Q: Findequation of the tane which- intersectsthe line (x--6+uty=-7+34,2=-1) at x =2 farallel to the Jin...

A:

Q: 1. Solve by Gauss elimination 3x-y+z=-2 X+5y+2z=6 2x+3y+z=0

A:

Q: The population of the United States has grown at different rates over ten-year increments as shown b...

A: According to the given information, Maximum supportable population of US = 600 million  

Q: Test the set of matrices for linear independence in M,3. If it is linearly dependent, express one of...

A: The matrices are linearly independent if a=b=c=0 in the equation  a110-1+b1-110+c1043=0000  where a,...

Q: Please solve very soon completely

A:

Q: Prove: If a is a positive even integer and b is an odd integer, then (a,b)=(a/2, b).

A: Let d be gcd of a and b. Now, b is odd so d cannot be even or is odd.  Now, since d is odd and divid...

Q: Ut=a?Uxx , 00 U(0,t)=0, U(1,t)+aU(1,t)=1 , U(x,0)=sin(pi x)

A:

Q: A membranc of uniform density area is stracthed on a Circular frame of radius A to uniform stress ac...

A:

Q: You have 4 pennies (l¢ each) and blindly grab three coins at random. What is the probability that th...

A: We need to select three coins at random from a given set of  4 pennies and 3 nickels.  Also, 1 penny...

Q: True or False? 1) Polynomial fitting has only one form: y(x) = ax+b 2) KNN counts the closest K+1 po...

A: We will answer the first three questions as per our guideline. Please resubmit the other questions s...

Q: The maximum value of the function f (x, y) = x2 + 2y2 - x in the region x2 + y2 < 1 %3D

A: Answer 

Q: ähäi 25 Q4) Let vector A = 2i+3j, vector B = 2i-2j, and vector C = (-A) - (2B). (a) Write vector C i...

A: Writing vector C in component form. C=-A-2B    =-2i+3j-22i-2j    =-2i-3j-4i+4j    =-6i+j

Q: 1- Find z such that |z| = v2 and Arg z = 4 4 in a + ib form. cos0+i sine 2- Express sin 0+icos 0. 3-...

A:

Q: For the function y=4 sin (4x+Tt/2) +2 find a ,b & c a e

A: To find value of a, b, c we need to draw the  graph of function then measure the value. Note that th...

Q: Let f(x,y)=x°-4y where 0<x <1 and 0sysl. Find the minimam of value of f(x,y).

A: Answer 

Q: Please I need this Answer at half time Quickly. Please

A: our objective is to show which options are true in the above questions.

Q: 3. Lapluce of lunction fct)_is givan by -Fes)-S Pct) d. 6-F4) - C) et dt C. -00 SA

A:

Q: You are in charge of purchases at the student-run used-book supply program at your college, and you ...

A: Here, the required term is profit which is to be maximized. Let, x1 denotes the number of calculus t...

Q: Question 4 Use the Gauss-Jordan elimination method to solve the following system of linear equations...

A:

Q: Question (1): Find the equation of the straight line passing through the intersection of the lines x...

A: Given: equation of lines are: x - 2y = 1 and x - 3y = 2  These are intersecting.   To find: the equa...

Q: Agriculture   Your small farm encompasses 130 acres, and you are planning to grow tomatoes, lettuce,...

A: Total acres of farm = 130 Fertilizer cost for tomato = $5 per acre Fertilizer cost for lettuce = $4 ...

Q: The displacement of a structure is defined by the following equation for a damped oscillation: y=9e ...

A: Given the displacement is y=9e-0.7tcos4t. We have to find the time at y=3.5 when t1=1, t2=0.2. We ha...

Q: o find d(tancsexx) dx O find ( 3 ton) X-1 2/3 O frnd dy if y = csc*J5x da ® find y if y= cot (- COSX...

A: See the attachment

Q: Show that (In x)² dx = e – 2 Find ſ dx x2+ 5x+6 4х Find f dx (x2 – 4)(x-3)

A: Given that  The following integrals 

Q: For the function below ... the range ?is (x + 2)³ y = (x² – 4)

A: Given function is                                                             y=(x+2)3x2-4    

Q: A certain amount of money is devided among three boys. The first boy receives 1/3 of the money and t...

A: Let the total money be x The first boy receives 13rd money  second boy receives 25th money  therefor...

Q: Q3\Prove that if (G,*) be a finite group of prime order then (G,*) is an abelian group.

A:

Q: Let fey-f3* メ>ト O let Let fox--3X X>2 2X Is lim f exist 4-Xx Is limfe exist X-0-

A:

Q: 4 (x +y +x)dx+ xydy = 0

A:

Q: Calculate the rate of markup on selling price if the cost of the product is RO 78 and the markup is ...

A: b) 15.38%

Q: Prove that the quotient ring is a finite field.

A:

Q: Solve the following system of simultaneous equation by Cramer's Rule.

A: Given that 2x-3y=4 -x+4y-z=11 6x-5y+2z=-3

Q: Suppose you want to climb up a path that ends 200 ft above your current location and is 400 ft horiz...

A:                                         Let AB be the distance which you want to climb i.e AB=200 ft...

Q: the value of the digit 4 in 2.4×10^-3 is how many times the value of the digit 4 in 4.1×10^2

A: Given that the value of the digit 4 in 2.4×10-3 The objective is to find the value of digit 4 in 4.1...

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.