If a=i and b find the angle between b)and(a

If the vectors i xj -2k and xi 3j -4k are mutually perpendicular, then find

By using Simpson's 1/3rd Rule, evaluate Integral x^4)dx limits 0 to 2 dividing in 4 equal sub-intervals.

The chances of Z becoming managers of a certain company are 4 2 3. The probabilities that bonus scheme will be introduced, if Z become managers are 0.3, 0·5 and 0·8 respectively. If the bonus scheme is introduced, what is the probability that X is appointed as the manager?

The following table gives age of the cars of a certain make and annual maintenance costs. Obtain Regression equation for costs related to age:
Age of cars (in years) 2 4 6 8
Maintenance cost (in Rs) 10 20 25 30

If x a cos^3 e and y=a sin^3 find dy/dx at n/3

If y log (log then show that:

xd^2y/dx^2 dy/dx 0


Evaluate. integral

Using Integration, find the area of region bounded by the curve xy x-axis and the lines x =4.

In a spherical triangle PQR, P 30·5', Q and R 11'. Calculate the side p.

In spherical triangle NBC, N 40° n 36° and C 90°. Find the sides c and angle B.

Find the equation of ellipse, if x-axis and y-axis are its axes and whose foci are (± and eccentricity is 1/sqrt(3)

Find the equation of circle with centre and which cuts off an intercept of 6 units on the line 2x -5y 18 0.