11. (6x³y*)2 -2 13. c'd²²

Q: 7. (4 points) Evaluate the indefinite integral. 5x8 dx = 5x8 +C.

A: integration formula for this question ∫ xn dx = xn+1n+1+C ; n≠1

Q: 5. Show that dS = 0. lav

A: The objective is to show that, ∮∂VdS=0. Let V=cT where c is a constant vector. Now by divergence…

Q: Ofind dy fort-

A:

Q: | In(vE + 5)dt

A: Given: I=∫lnt+5dt  ……1

Q: 3. Integral xdx 10x -234

A: We will use substitute method to solve this integral.

Q: Evaluate the indefinite integral S(z -9-dz 를-9z + 듣 +C 4x4 중-9z + + C 222 - 9x + 7lnx³ + C - 7 9x -…

A: First we write each term using exponent

Q: dt 1). S V16-9t2

A:

Q: 12 Integrate: ,V4 - z² + dr

A: The given function is 4-x2+x7+24-x2 We have to integrate this function over the interval -2, 2

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

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

Q: evaulate the indefinite integral  4x^3+2x^2+6x-5/(x^4-x^3)

A: Firstly, We factorize the denominator

Q: 3 2 Evaluate the improper integral: dx Ji33x– 1

A:

Q: Compute integral-11  3x -√1-x^2  dx

A:

Q: Anti der ivent ive 2x %3D 37-4

A: Solution

Q: Inn NTT <os 2. n=1

A:

Q: A life insurance company has 1,500 policies averaging Rs. 2,000 on lives at the age 30. From the…

A: Probability that a person aged 30 survives upto 31 age is = 99000 / 100000 = 99/100 Probability that…

Q: Differentiate y = laz az-1 In r Option 2 None of these 2n In z Option 3 Option 1 2ln-1 In z

A:

Q: Еxercise 13 Determine how тany times 0 арpears in thе тultiplicatioп table for Z16-

A:

Q: 3/8 d. rategy. Show

A:

Q: 2. Two cars, one is going due East at the rate of 90km/hr and the other is going due South at the…

A: It is given that one is going to East at rate 90 km/hr and other to south at rate 60 km/hr. Use the…

Q: State Green’s Theorem

A:

Q: (5) Find the integrals: •ftan²(x) dx ● fsec²(x) dx • ftan³(x) dx ●

A:

Q: 9 In(z² – 1) dz

A: Given: ∫9lnx2-1dx

Q: Find dy of

A: Use the chain rule of differentiation and simplifie the result.

Q: Show that L₁J - dx x² + 2x + 2 = In(√5-2).

A:

Q: Find the integral. dx 3- 2х A 글메3-2x+C B -글 미 3-2지+ C c) 2 In 13 - 2x| +C D) - 2 In 13 - 2x| +C

A:

Q: A machine to manufacture fasteners has a setup cost of $1,200 and a unit cost of $0.004 for each…

A:

Q: Verify using Pathagoream Thereom EA 2xv x44 -radius

A:

Q: 16. Integral Ydy 6y2-1

A:

Q: Evaluate the indefinite integral. (7z + 7 71 + -dr Jz² +1

A: Given,          ∫7x+7x2+1dx

Q: Evaluate the indefinite integral. 4х — 2 - -dx (4x2 – 4x + 7)³ - + C

A:

Q: Evaluate the integral 7-2x dx /7+12x-4x²

A:

Q: integrate the fallowin 4 (usın'sx lx

A: Given: The trigonometric identity that can be used to simplify the above expression.

Q: 1. Express into parital fraction. Hence evaluate y2 -4 *2-4

A: according to our guidelines we can answer only three subparts, or question and rest can be…

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

A:

Q: he executives are interested le of 500 customers yielded nore than 5% of its current tuation.

A: Given data number of success , x= 40 sample size, n = 500 population proportion,p=…

Q: d Find dt 4x – 2 dx + 20 4t x2 2 – 16t 16t2 + 20 4t – 2 t2 + 20 2 – 4t t2 + 20 8 64t 16t2 + 20 64t –…

A:

Q: Estimate (8.06)-/³ using differentials. (8.06)2/3

A: The given expression is

Q: Evaluate the integral: 2x 53x dx +C 5 In 5 53x +C 3 ln 5 3 ln 5 53x +C 5 In 3

A:

Q: 4014H al

A:

Q: nly.

A: Given equation is :  -√3 sin(x) + cos(x)

Q: Integrate: dr z2 + 4z + 8

A: We will integrate the above expression.

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: o - 23 dy

A:

Q: Find the integral. [(3 - 7x° + 5) dx 7 OA. 9x° -**5 7x* +5x +C O B. °-** 7 + 5x +C OB. Oc. 9x°. -**…

A: According to the properties of integration we have: ∫[f(x)±g(x)] dx=∫f(x) dx ± ∫g(x) dx

Q: 10 9. Integrate 4+3cose de.

A: To evaluate the given integral.

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.…

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.