у" + Зу' + 2у %3D sen e* 15.

Q: Given the vector field E = 4zy² cos 2xa, +2zy sin 2xay + y² sin 2xa₂ for the region [x], [y], and…

A: The general form of a vector-valued function in three dimensions is given by F=F1ax+F2ay+F3az, where…

Q: Determine what is asked based on the given data below. Percentile= 10th Percentile= 2.5th…

A: 1) Sample size n=20 The degrees of freedom are, df=n-1=20-1=19 Significance level α=0.10   tα,…

Q: (D²+4)x=sin²2y|

A:

Q: Q4: Solve the following wave partial differential equation of the vibration of string for y(x,t).

A:

Q: . The sides of a cube are found to be 6 feet in length with a possible error of no more than 1.5…

A:

Q: Identify the confidence interval estimate and compute its width based on the given data below. 1.…

A: Note: Hey there! Thank you for the question. As you have posted multiple independent questions, we…

Q: Linear/differencial

A: a) to show that the eigenvalues of the matrix have the required properties

Q: y" - y = coshx 10.

A:

Q: Consider the differential equation y'(t) = -t/y, y(3) = 4 Use one step of the midpoint method to…

A: For a differential equation of the form: y'=f(x, y), the midpoint method uses the following formulas…

Q: Therefore, confidence interval is from 25.69 to 30.31 with a width of 4.62. LET'S TRY THIS Identify…

A: Note: Since you have posted multiple independent questions in the same request, we will solve the…

Q: Linearization approximation

A: Here, we consider the function f(x)=x^(1/3). We take x=8.5 and a=8 as, we know the cube root of 8,…

Q: y" +y = sec²x

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: 15. y" + 3y' + 2y = sen e*

A:

Q: Find an cqu of fangat plane the to the gapu xー4y+ プい16

A: Let f(x, y, z) = x2 - 4y2 + z2 - 16 . Let (a, b, c) be a point lies on the given surface.  That is…

Q: 2. (D² + 2D + 1)y= 1 (ex-1)² ANSWER: y = e(C₁+C₂x-In/1-e *1)

A:

Q: Solve the D.E. 1. (D²+1)y= 12 cos² (x). Solve using 2-ways.

A: Given D.E.           D2+1y=12cos2x     ……………………………(1) Here, fx=12cos2x

Q: x" + 2x' + 8x = 2e-2t - e-t,x(0) = 1, x'(0) = 0

A: Given differential equation is x''+2x'+8x=2e−2t−e−t and x0=1,x'0=0. We have to find the solution of…

Q: Assume that T is linear transformation. Find the matrix of T. a) T : R² → R² first rotates points…

A: Since the posted question has multiple questions but according to guidelines, we will solve the…

Q: y" – 4y' + 3y = et 1+ ex

A:

Q: 8. use the method variation o f parameters to find the general SOlution ot y"+ y =secX

A: G ji

Q: B. lim (tan x)* 1-0+

A: Given:  Let y=limx→0+ tan xx2 To Find: To evaluate the given limit.

Q: Identify the number of samples needed in each problem. 1. 1. d3 115 Cl= 98.5% O= 1800 n=? 2. 2. d3…

A:

Q: In a random sample of size n = 600 people in a city it is found that 340 of them like to watch TV…

A: Given,n=600x=340p^=xnp^=340600=0.5671-p^=1-0.567=0.433α=1-0.90=0.1α2=0.05Z0.05=1.645   (from…

Q: parate sheet of paper 1. The school head observes an increase of internet expenditures of learners…

A: As per our policy we can solve only 1 question per post. Kindly repost for remaining questions. 1)…

Q: 2. (3D — 1)y = 6e³x

A:

Q: Identify the number of samples needed in each problem. 1. Given: d= 12 Cl= 93% O= 55 n=?

A: Note: Hey there! Thank you for the question. As you have posted multiple independent questions, we…

Q: e3x (D³ – 3D² + 2D)y 1+ex

A: The given question can be solved as shown in step2.

Q: Separation of Variable Method Obtain the general solution

A: To find: The general solution of the equation. Given: The differential equation is dr=bcos…

Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.