m/2 130 Find m/5

Q: 2)S 1xtil dx (5)

A:

Q: 8. S 2+e x dx e-x

A: Use integration rules

Q: |3 Sm2万x d x'ln tz de

A:

Q: Solve for x accurate to three decimal places.

A:

Q: 1 dx. 3 Evaluate x(lnx 8.

A:

Q: 3y+125 dy (e+5)² Зу

A: we need to evaluate the given indefinite integration

Q: S. 1/6 dx V1 – 9x2

A:

Q: 2. Sキ 1 dx 5+x2

A:

Q: 1. S 2x-6 すdx (x-7)5

A: Solution:

Q: S ((V80 – x2 ) – (0.3cos (1.2r + 1.3) + 5) d -(0.3cos(1.2x + 1.3) + 5) )dx

A:

Q: 5.S dx 2 x+5

A:

Q: 1. S- VE dx 6 Vĩ

A: Indefinite Integration

Q: 11)/ tấn (5x° – 4) dx 125x*sec (5x° – 4)-

A: Since, You have posted multiple questions. As per guidelines, we will solve only first question. If…

Q: 7. A car can accelerate at 4 m./sec.?. How long will it take to reach 90 km./h. from rest ? (ans.:…

A: Givem acceleration 4 m/sec ^2 Initial velocity 0 Find the time

Q: 1. A 10 ft ladder is leaning a gainst a wall. If the top of the ladder slides down the wall at a…

A:

Q: 6. S t √1+2t dt

A: The given integral,    ∫t1+2t4dt

Q: 10.S 2 x3 x+1 dx

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 6 7. S 36+x² dx

A:

Q: 2. S 2vx(x2 – 1) dx

A:

Q: 6 S(3csc°C+) - &e*)dt

A: Given integration is : ∫3 cosec2t-8et dt To find the value of integration

Q: e4z+1 dx e2r – 1 17.

A:

Q: 2 S (a+ dx x - х — а

A:

Q: 4. S ( 12 x³ + 15 x - 20 ) dx

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: f(t)=ln(ln(6t))+ln(ln2) f′(t)=

A:

Q: The number of hits on a certain website (in thousands) is approximated by f(x) = 70 e 0.1769x where…

A: The number of hits on a certain website is f(x)=70 e0.1769 x, where x=0 corresponds to 2000.

Q: evaluate the integral.

A:

Q: S(2x3 + x)V2x² + 1 dx

A:

Q: 14) S(3x + 2)v5 – x dx

A:

Q: 4 S. x* - 6 dx = 14

A: Let, I=∫x4−6x14dx ⇒I=∫1x7x4−6dx ⇒I=∫x2x71−6x4dx ⇒I=∫1x51−6x4dx

Q: dx S x(1+(lnx))²) 2.

A: This question is related to indefinite integration, we will solve it using given information.

Q: 6. g(s) %3Dr-고 +1 in

A: The objective is to match the tailor polynomial approximation of the function with its graph.

Q: ха-1 dx 1+x4 (2) 8.

A: The given integral is: ∫0∞xa-11+x4dx

Q: Car X is travelling west at 20 kph and Car Y is travelling south at 30 kph. Both are headed for a…

A:

Q: Two cars are moving towards an intersection. One car is 180 meters north of the intersection and…

A:

Q: 3) S e2x cosh(x) dx

A:

Q: dx 1. S √3x²–2x+1 2 2. √₁² √√x² - 4x + 8

A:

Q: b. Find S 5x*(x5 – 1)dx using a suitable substitution.

A:

Q: Sand is leaking from a bag in such a way that after t seconds, there are S(t) = 50 (1 − t 2 15 ) 3…

A: Put t=0 for amount of sand originally than take derivative at t=1 to get rate of leaking of sand.

Q: 6. S (2x+3) dx (x2+3x-6)9

A:

Q: 6) x*dx_ .2 S2x-x

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: 10 dx. (-1)(x²+9)

A: We have to find integral.

Q: 10 ii) J1 x(10+lnx)3 dx

A:

Q: ' 7 cosh (x) dx = 1

A: We have to evaluate the integral ∫197coshxxdx

Q: 5 S Ix² x- 6|dx -5

A: The given integral,            ∫-55x2-x-6dx

Q: Q3: Show that S(Inx)" dx = xlnx n S(Inx)"-1 dx. Using this solve S(lnx)® dx ? -

A: problem:∫lnn(x)dxintegrate by parts: ∫fg'=fg-∫f'gf=lnn(x), g'=1f'=nlnxn-1x, g=x=x(lnx)n-∫n(lnx)n-1dx…

Q: 4. Water leaks out of a tank at the rate of yt+1 gallons per minute, for 0 <t<120 minutes. At time t…

A: Given: The rate of water leaking is t+1 gallons per minute for 0≤t≤20 minutes, and amount of water…

Q: Sand is leaking from a bag in such a way that after t seconds, there are S(t) = 50 (1 – 1.How much…

A: (1) We have S(t)=501-t215. The initial amount of sand in the bag is S(0). Which is…

Q: 5 |V25 – x² dx Compute the value of

A: Given: I=∫0525-x2dx we know that ∫a2-x2dx=x2a2-x2+a22sin-1xa+c                                  ...1

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.