This evaluates as the following. '5 W = 176,400 (7х — х?) dx 15 = 176,400 = 176,400 The work W required to pump the water out of the spout is the following. W =

Q: Yis inversely proportional to the square root of x. If Y= 9 when x = 64, then what is Ywhen xis 2253

A: Y is inversely proportional to square root of x

Q: 9. 4 sec2 0 tan 0 d0 0,

A: The solution is given below

Q: Evaluate sin 3x dx . a. 0.11 b. 0.44 c. 0.22 d. 0.33

A:

Q: (3x² -8)dx= а. 3 b. 1 С. 9 d. 5

A:

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. cot? 2x csc* 2x dx

A:

Q: -2x +5 Evaluate 10-4x -2y dy dx 3x 25 3

A: The given integral is: ∫01∫3x-2x+5(10-4x-2y)dy dx

Q: 1 ,-2x dx

A:

Q: 1 1/2 = 7/12 C C =  ?

A: 112=712C On simplification, we get ⇒2+12=712C⇒32=712C

Q: | tan? x dx 2

A: Our Aim is to integrate ∫tan2 (x) dx-(i)

Q: 3 For the equation +7x²y = 0, y(0) = ², the value of y(1) is dx

A:

Q: Find y". y = 2 cot 6. 4 csc2 cot 4 csc2 81 cot 6. -4 csc

A:

Q: Find the values of a. sec-1(-3)        b. csc-1(1.7)                  c. cot-1 (-2)

A:

Q: dx 1+ 3/2 х

A: We need to integrate the given integral.

Q: 8. (2x° – 3x) dx

A:

Q: dx 4. 1- 2cosx

A: The integration of the 1/(1-2cosx).

Q: ·S. 144. dx x6 = x² -

A:

Q: cosh?x-sinh²x = 1 %3D

A:

Q: cos? Vx

A: Given,          ∫cos2xxdx

Q: 3 |(3 -x).

A: Integration of 3-x w. r. t to x for limit 0 to 3