a4sdoubtsengine

10.Let A = {1, 2, 3, 4}, B = {1, 5, 9, 11, 15, 16} and f = {(1, 5), (2, 9), (3, 1), (4, 5), (2, 11)}

5.Find General Solution (ex + e-x) dy – (ex – e-x) dx = 0

4.Integrate x/(x-1)(x-2)(x-3)

3. log x

9. Mother, father and son line up at random for a family picture

If x = acosϴ and y = bsinϴ then the value of (b2 x2 + a2 y2) will be:a.x2 + y2 b. a2b2c. a2 +

9.Integrals ∫_0^2▒〖x√(2-x)〗 dx

10.Integrate Sin4x

4.sec (tan (√x))

12.The number of arbitrary constants in the particular solution of a differential equation of thir

9. An electronic assembly consists of two subsystems, say, A and B. from previous testing procedures

12.Find Particular Solution x(x2 – 1) dy/dx = 1; y = 0 when x = 2

3.If a unit vector a ⃗ makes angles π/3 with i ̂,π/4 with j ̂ and acute angle θ with k ̂, then find

9.Integrals The value of integral ∫_(1/3)^1▒〖(x-x^3 )^(1/3)/x^4 dx〗 is

7. An insurance company insured 2000 scooter drivers, 4000 car drivers and 6000

1.Integrate x sin x

6.Find General Solution dy/dx = (1 + x2) (1 + y2)

4. In answering a question on a multiple choice test, a student either known the answer or

4.Suppose that 90% of people are right – handed. What is the probability that at most 6 of

4.Integrals ∫_0^(π/2)▒(〖sin〗^5 x dx)/(〖sin〗^5 x + 〖cos〗^5 x)

11. y = cos^(-1)⁡(〖1-x〗^2/〖1+x〗^2 ),0x1

1. If a line makes angles 900, 1350, 450 with the x, y and z – axes respectively, find its

1. x = 2at2, y = at4

12. Find the shortest distance between the lines r ⃗=(i ̂+2j ̂+k ̂ )+λ(i ̂-j ̂+k ̂ ) and r ⃗=2