7. 2r tan y dx + sec² y dy = 0

Q: 4. dr/dt = -2tr, r(0) = ro %3D

A:

Q: . Suppose you are writing an exam and you cannot remember whether the derivative of arcsin(x) 1 1…

A:

Q: Use the definition of continuity and the properties of limits to show that the function is…

A:

Q: For a fully discrete whole life insurance of b on (x), you are given: (i) 9+9= 0.02904 (ii) i=0.03…

A: Given::-

Q: Find an equation of the tangent line to the graph of f at the given point. y = x³ - 2x + 1, (2,5) y…

A: We will find the required equation of tangent .

Q: 2.4 (A) A product line has two models: X and Y. Model X consists of 4 components: a, b, c, and d.…

A: Given - A product line has two models: X and Y. Model X consists of 4 components: a, b, c, and d.…

Q: Directions: 1. Read and analyze each situation carefully. paper. I. Descriptive Statistics Income…

A: In the data, there are 4 variables provided-Income, Household size, Amount Charged, and Gender.  As…

Q: 3. y'cosh?x = sin² y, y(0) = 2 %3D

A: We will use the method of separation of variables and then integrate.

Q: 46. Run times One of the authors collected the times (in minutes) it took him to run 4 miles on…

A: The mode is somewhere near to 30 min

Q: upper bound, just write "none." а. (2,3) b. (2,3] С. О

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: The following table gives values of the differentiable function y = f(x). x012 3 45 6 7 89 10…

A: Substitute y=f'(x) and re-write the table as follows. x f'(x) 0 3 1 1 2 -2 3 -4 4 -3…

Q: 5. (x² + y²)dx – 2xy dy = 0 -

A:

Q: 6. 3(у + 1) dx %3D 2х dy

A:

Q: 11 Assuming A 3x4 and B 4x2: AxB is 3x4 4X3 3x2 2X3

A: Matrix multiplication is only valid if the number of columns of the first matrix are equal to the…

Q: Let a,b E R with a # 0, b # 0. Prove that (ab)¯1 = a°1b´1. %3D

A:

Q: Solve the following Problems: 1. 2xy dx + x2 dy = 0

A: We have to solve the given ode.

Q: point) For what value(s) of h is the linear system consistent?

A: If we multiply 1st equation with 4 and second with -6 then the both equation will be same so right…

Q: Prove that the inverse of any element in a group is unique

A:

Q: 2. x°dx + y°dy = 0

A: Variable separable form: Suppose we have differential equation then rewrite the differential…

Q: In problems 6-8, determine (with proof) the range of the given function.2.

A:

Q: In a certain city, the daily consumption of petroleum in thousand barrels of oil can be treated as a…

A: α=3, θ=4

Q: The average amount of money spent for lunch per person in the college cafeteria is $5.74 and the…

A: Let X: be the amount of money spent for lunch per person.n=45,μ=5.74,σ=2.52

Q: Case 2: w – c² = 0. Show that this is the critically damped case of Section 4.4. Compute the inverse…

A: Given: From 38 we have, Y(s) = y0s+v0+2cy0(s+c)2+(ω2-c2) and from 40 we have ω02-c2=0.

Q: Indicate the least upper bound of the following sets. If a set does not have a least upper bound,…

A:

Q: here are many correct answers. Use t as the parameter. Let 0 sts47.)

A:

Q: A 2 -1-X . Find #he valye efa when JA- 4

A: Given, A=1-x200-232-1-x2 and A=4…

Q: (c) Given that the subset L= {1,-1, i, -i} of complex numbers is a group under multiplication, find…

A: Given: L=1,-1,i,-i is a group under multiplication. To find: Identity  and inverse of each element…

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.