3y(x² – 1)dx + (x³ + 8y – 3x)dy = 0; when x O and y = 1.

Q: he Fourier series representation, FS(t), of a periodic function of period 4 s given by nnt FS(t)=…

A: A Fourier series and its coefficients are given. To find the coefficients for n=1,2,3.

Q: The table below shows the average weekly wages (in dollars) for state government employees and…

A: The data shows the average weekly wages for state government employees and federal government…

Q: 1. Two gears of radii 2.5 cm and 4.8 cm are adjusted so that the smaller gear drives 0O arger one,…

A:

Q: b) 27 81.2 cm 38.4 cm

A:

Q: ) (4,0) ) (이14) ) (4,시) S. x* dy - 2y dx whare L is 2° J. circle arc x+y% =1, x >O X 70

A:

Q: Solve for the requested quantity. If x 5 and y 8, then sin A A. %3D

A: use trigonometric ratio for finding the value of sinA.

Q: You are interested in finding a 90% confidence interval for the average commute that non-…

A: The data shows the number of commute miles for 15 randomly selected non-residential college…

Q: Use the Maximum Principle to solve the following dynamic optimization problem 2 (1+ *¢ – u?), X+1 =…

A: We are given a dynamic optimization problem and we have to solve for the optimal solution using…

Q: Solve for xx: 4x=23

A: use the basic operation of multiplication.

Q: Differentiate implicitly to find dy/dx. sec(xy) + tan(xy) + 7 = 16 dy dx || X

A:

Q: P2 Consider the two power series (3x)2n+1 f(x) = x + Σ (2n + 1)! n=0 (x + 1)" g(x) = 3n ln(n) n=2…

A: We will show that f(x) satisfies the given equation (y=f(x))

Q: Solve the following equations algebraically. Then, check your work. (a) 5x = 45 (b) x = 10 (c) x =…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: Solve for “B” 5:a:13 = b:7:3

A: The detailed solution is as follows below:

Q: What does it mean that matrix A is orthonormal? What does it mean that matrix A is positive…

A: There are different types of matrices. Matrices have different types of properties and based on…

Q: The number of initial public offerings of stock issued in a 10-year period and the total proceeds of…

A: The 95% prediction interval for the proceeds when the number of issues is 659 is obtained below as…

Q: A common design requirement is that an environment must fit the range of people who fall between the…

A: Formula : Z =(X - μ)/σ

Q: a b [2] ... c d 4 3 25 - [ 10 11 20 29

A: We multiply the given matrices using matrix multiplication to obtain linear equations in a and b and…

Q: Problem 3 Solve the following equations algebraically. Check if your solution is correct using…

A: Given: (a). y+5=22 (b).e-2=3 (c).b-3.4=0.68

Q: ²² .... 5. If each company makes 225 tubes of their lip color this month, what amount of profit can…

A:

Q: Below is a table showing the weights of packages arriving at a post office during a day. Weight (kg)…

A:

Q: Find dy/dx for the following functions:- (1) xlny – ylnx = 1 (2) y = tan-[cosh(2x – 3)] (3) y = (sin…

A:

Q: for the last seven years. Construct and interpret a 99% prediction interval for the amount of crude…

A: xy582393085707912156459648546210058516910197505810101504210097

Q: Find f'(x)and f"(x) of f(x) = 11x3

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.