14 Let /= 8, x4 dx. Select all that apply x3 - 512

Q: Find the line of best fit for x: 2 2 68 10 y: 01233 O ŷ= 0.344x+0.125 %3D O ŷ = 1.29x - 3.14 %3D Oŷ…

A: The regression is a linear relationship between one dependent variable and one or more independent…

Q: Evaluate the double integral 1+3"

A: We will reverse the order of integral. Currently it's dydx. Let's make it dxdy. In that case we need…

Q: (22-4) (교3-4z)3 dz

A:

Q: Let Un−1(x) be defined for n ≥ 1and define U−1(x) = 0. Show that Tn(x) = Un(x) − xUn−1(x), for n ≥ 0

A:

Q: Show that, cosh-1 x = In (x + /x² – 1)|

A:

Q: (- 0,a) is measurable.

A: Note that, every interval is measurable.

Q: -25 Evaluate the integral: dax x²Vx2 +25

A:

Q: Compute 3 In(x² + 1)dx=

A:

Q: 12x? Evaluate the integral: 16 – x² -

A:

Q: In(x) -dr

A:

Q: Find the length of the graph of f(x) = cosh(x) for 0<x< In(12).

A:

Q: 1. Show that cosh 4x = 8cosh“x - 8cosh? x + 1 .

A: Given problem:- Show that cosh(4x) = 8cosh4x - 8cosh2x + 1

Q: Consider the following Lp: Max Z =5.4 x, +6x2 Such that 4x, + 3 x, < 20, 000 (Hours available)…

A: The given LP problem is                      Max Z=5.4 x1+6x2subject to            4x1+3x2…

Q: Find dy ax 9=бл+бай

A: Given :y=x+1+xformula : ddxx=12x

Q: Inn NTT <os 2. n=1

A:

Q: If Зх — 2,х <3 -{ - h(x) х4 — 74, х 2 3 Is h(x) continuous at (x=3)? 1 Add file

A:

Q: Evaluate the definite integral. '1 3 + 7t³j+ Vik) dt /-1

A: Consider the given definite integral

Q: Evaluate the integral. 24. '8 -2/3 dx

A:

Q: Evaluate the definite integral. S x3Vx² + 4dx

A: A definite integral is an integral  with upper and lower limits. It is restricted to lie on the real…

Q: Evaluate the integral∫ (4 /√(4 - x2)dx.

A: Let, I=∫44-x2dx Substitute x=2sint  gives dx=2cost dt…

Q: Evaluate the indefinite integral. 7 dt 7 (t + 4)"

A: Given,            ∫7t+47dt

Q: 57. Use the substitution u = x/3 to prove dx 1942=tan 1+0 www C 9+x² 3 3

A:

Q: Evaluate the integral. S* con5 8x dx n/2 O-2 15 15

A: Given:∫-π2π2cos58x dxLet f(x)=cos58x f(-x)=cos5(-8x)=cos58x =f(x)f(-x)=f(x)hence, it is an even…

Q: 9 In(z² – 1) dz

A: Given: ∫9lnx2-1dx

Q: Find a point c satisfying the conclusion of the MVT for the function У(х) 3D 16/х on the interval…

A:

Q: evaluate using the appropriate method or combination of methods.

A: We will need by parts method with

Q: Prove that, cosh-'x = In |x + vx² – 1 for x 2 1 -기/

A: This question is based on Cosine hyperbola.

Q: 1dx. x In x

A: Explanation: Given that, ∫1xlnxdx Suppose  u=lnxdu=1xdxdx=xdu now ∫1xlnxdx=∫xduxu…

Q: Evaluate the integral. 8. (x³ - 6x) dx -8

A:

Q: 25 -x2 -dx, if we let u=/25 – x? , then udu =- xdx. In A) True B) False

A:

Q: dx 9х2 — 12х — 5 9x2

A:

Q: it is unbaised estimated of a Then Show That ta is baised estimated of 02. Theorem:- if

A:

Q: Proved that cosh fas/ (cashZ+L)

A: To prove :  cosh2z2 = 12cosh (z) + 1

Q: Suppose G, (x) and G2(x) are both antiderivatives of a function g(x). Using complete 3. sentences,…

A:

Q: Show that dx = x² – 8x In (7 + 4/3). -

A:

Q: Evaluate the integral. dx 9 2 4 16x- 81

A: This question can be solved by the concept of special integrals.

Q: (- 0 ,a) is measurable .

A: Given a statement

Q: Find an expression of for y = 2*ev*, Hint: (a*) = a* . (x) · In a

A: We can find the derivative as below

Q: Evaluate the improper intergal 1 -00 dx using the residue (x² + 16)3 theorem. 00 2

A:

Q: 38 Show that x² V2x – 3 dx - 35

A: use the formula below to evaluate the given integral.

Q: Evaluate the integral. 5) 5.7x 5 dx 9 - 4 A) -- In|9 - 7x |+ C B) -5 In|-9 + 7x | + c 5 C) In|-9 +…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Show that cothx x+1 In X-1,

A: Solution

Q: Evaluate the integral. 3. [(ax-2-4) dx 2.

A: The given integral,        ∫234x-2-4dx

Q: Use symmetry to evaluate the following integral  (x^3+2x^7)/(x^6+4)  [-3,3

A:

Q: 3-Expand In [x? sin³ x /vx2 +1]

A:

Q: Prove that: 3-4x² dx 4VIn3

A: The given integral is I=∫0∞3-4x2dx. The idea is to evaluate the above integral using gamma function.…

Q: Evaluate 1-(In x) x In x -dx

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.