2dx 1. Decide whether you can find the integral } using the formulas and Vx2+4 techniques you have studied so far. Explain your reasoning.

Q: use trig substitution to evaluate the integral of "sqrt(16-x^2)"

A: Given problem:- use trigonometry substitution to evaluate the integral of "sqrt(16-x^2)"

Q: (x^(2)-6x)y^(2)=36-9y^(2)h etry about the x-axis and symm

A: The equation is as follows:(x^2 - 6x)y^2 = 36 - 9y^2

Q: Calculate A100 where A = 3 2 -2 -1 0 0 1 1

A: Given that,       A=3-10200-211    Let λ be the eigenvalue of A .Then det(A-λI)=0…

Q: What is the integral of csc^3xcot^3x?

A:

Q: Solve using integration by parts 3t^3/(6-t^2)

A: First of all, we can rewrite the given integrand by performing division as shown below:

Q: Define diffeomorphish between two manifolds and Completly explain why any linear map fiM_N. between…

A:

Q: Integrate using the integration by substitution method. (7x6)/(x7-6)

A: Apply u-substitution method to evaluate the integral. Use the formula ∫1xdx=lnx+C.

Q: Find the dimensions of a rectangle wothj area 100mc^2 whose perimeter is as small as possible. * I…

A: We need to find dimension of rectangle.

Q: Calclate the integral and show work. ∫ (9)/(2x^3 + 5x^2 + 3x) dx

A:

Q: Find the quadratic equation given two roots using x^2 - (r + s)x + (r ⋅ s) = 0 1. 4 and 5 2. 6 and…

A: topic - quadratic equations

Q: - 2 Ex 52

A:

Q: 2.x + 1 dx x² + 8x + 25

A:

Q: Solve using the method of undetermined coefficients: y" + 3y" – 10y' = 2 + xe* %3D

A: Given: y''' + 3y'' - 10y' = 2 + xex

Q: 3x* + 12x3 + 6 1. x5 + 5x* + 10x + 12 dx

A:

Q: Evaluatef (cot2x + 2tan²x - 5) dx a. cotx + 2tanx + 4x + C b. -tanx-2cotx - 4x + C c. -cotx 2tanx -…

A: I have stated the used formulas in the solution

Q: Solve the initial value problem below using the method of Laplace transforms. y" - 4y' - 12y = 0,…

A: Given equation is: y"-4y'-12y=0 ,y(0)=1,y'(0)=38 We have to find the value of y(x)

Q: integrate (2x+1)/(x^3-x^2+x) with respect to x the same expression written differently for clarity:…

A:

Q: you want to paint a framed picture. The frame you make will be 2 inches wide on the top and bottom,…

A:

Q: Integrate sqrt (16+x^2) from 0 to 4

A:

Q: 100 ds (12s +.02s²)

A: Use substitution method

Q: Integrate: dz V2x + 3

A: We have to find

Q: Solve using 1. (D² - 5D + 6)y = x²e* + 2x undetermined coefficients. Use A, B, C and etc. for…

A:

Q: ОЗх^2+2

A: x3-0.03x2+2.4×10-6=0

Q: Use the IVT to prove thatx^2+ lnx =1/2 has a solution.

A: Use the IVT to prove thatx^2+ lnx =1/2 has a solution.

Q: intergral (2x-1) / (4 square root x^2-x+2 ) dx

A: Topic- Integration

Q: Find the integral of -7x^2+1 / (x^2-2)^5

A:

Q: Find the Area if x = 5. (Substitute the value and simplify & show your work!) Зх - 5

A: To find the area when x=5.

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.