mldelacruz

 Let  . Determine the derivative  at the point  .

Find the derivative at the point  for the function . 

 Let  . Determine the derivative  at the point  .

Find  by implicit differentiation when :

A object is initially moving along a straight line with a velocity of 300 metres

per second and accelerates at 10 metres per second squared for 90 seconds. Calculate

(a) the final velocity 

(b) the total distance the object travels. 

A block of wood of mass 14 kilograms is travelling at 12 metres per second on a horizontal surface. It slows down to 8 metres per second over a distance of 50 metres. Determine

(a) the magnitude of the frictional force acting on the block. 

(b) the coefficient of kinetic friction between the block and the surface.

(g=10m/s^2) 

An object of mass 5 kilograms is placed on a plane inclined at 36 degrees to the

horizontal. The object is moving down the plane with a velocity of 2 metres per second. The coefficient of kinetic friction between the box and the plank is 0.3.

Determine

(a) the frictional force. 

(b) acceleration of the box down the plane. 

(c) the distance the object travels down the plane in 8 seconds.

(g=10m/s^2)

An object of mass 5 kilograms is placed on a plane inclined at 36 degrees to the

horizontal. The object is moving down the plane with a velocity of 2 metres per second. The coefficient of kinetic friction between the box and the plank is 0.3.

Determine

(a) the frictional force. [3]

(b) acceleration of the box down the plane. [4]

(c) the distance the object travels down the plane in 8 seconds.

(g=10m/s^2)

A block of wood of mass 14 kilograms is travelling at 12 metres per second on

a horizontal surface. It slows down to 8 metres per second over a distance of 50 metres. Determine

(a) the magnitude of the frictional force acting on the block. 

(b) the coefficient of kinetic friction between the block and the surface.

(g=10m/s^2)

A object is initially moving along a straight line with a velocity of 300 metres

per second and accelerates at 10 metres per second squared for 90 seconds. Calculate

(a) the final velocity 

(b) the total distance the object travels.

what is the domain of f(x)=sin (x)?