Home
Class 12
MATHS
Let x be the length of one of the equal ...

Let `x` be the length of one of the equal sides of an isosceles triangle, and let `theta` be the angle between them. If `x` is increasing at the rate (1/12) m/h, and `theta` is increasing at the rate of `pi/(180)` radius/h, then find the rate in `m^3` / `h` at which the area of the triangle is increasing when `x=12ma n dtheta=pi//4.`

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

The length x of a rectangle is decreasing at the rate of 5 cm/sec and the breadth y is increasing at the rate of 4 cm/sec. When x=8 cm and y=6 cm, find the rate of change of area of the rectangle.

The length of a rectangle is decreasing at the rate of 2 cm/sec and the width is increasing at the rate of 2 cm/sec. When x=10 cm and y=6 cm , find the rate of change of (i) the perimeter (ii) the area of the rectangle.

The length x of a rectangle is decreasing at the rate of 5cm/s and the width y is increasing at the rate of 4cm/s When x=8cm and y=6cm , find the rate of change of (a) the perimeter and (b) the area of the rectangle.

The length x of a rectangle is decreasing at the rate of 5 cm/minute and the width y is increasing at the rate of 4 cm/minute. When x=8c m and y=6cm, find the rates of change of (i) the perimeter (ii) the area of the rectangle.

The length x of a rectangle is decreasing at the rate of 5 cm/minute and the width y is increasing at the rate of 4 cm/minute. When x=8 cm and y=6 cm , find the rate of change of (a) the perimeter, (b) the area of the rectangle.

The sides of an equilateral triangle are increasing at the rate of 2 cm/s. Find the rate at which the area increases, when the side is 10 cm .

The sides of an equilateral triangle are increasing at the rate of 2 cm/sec. Find the rate at which the area increases, when the side is 10 cm.

The length x of a rectangle is decreasing at the rate of 5 cm/minute and the width y is increasing at the rate of 4 cm/minute. When x = 8cm and y = 6cm, find the rates of change of (a) the perimeter, and (b) the area of the rectangle

The length x of a rectangle is decreasing at the rate of 3 cm/minute and the width y is increasing at the rate of 2cm/minute. When x =10 cm and y = 6 cm, find the rates of change of (a) the perimeter and (b) the area of the rectangle.

The two equal sides of an isosceles triangle with fixed base b are decreasing at the rate of 3c m//sdot How fast is the area decreasing when the two equal sides are equal to the base?