Differential Calculus

• y = -x + 2

• y = -x - 2

• y = x + 2

• y = -x + 1

A statue 3 m high is standing on a base of 4 m high. If an observer’s eye is 1.5 m above the ground, how far should he stand from the base in order that the angle subtended by the

statue is a maximum.

• 3.41 m

• 3.51 m

• 3.71 m

• 3.61 m

What is the derivative with respect to x of (x + 1)³ – x³?

• 3x + 6

• 3x - 3

• 6x - 3

• 6x + 3

Find y’ if y = arcsin cos x

• -1

• -2

• 1

• 2

An open rectangular box with square base is to be made from 48 sq. m of material. What is the largest possible volume of the box in cubic meters?

• 28

• 30

• 32

• 34

The volume of a cylindrical tin can with a top and a bottom is to be 16pi cubic inches. If a minimum amount of tin is to be used to construct the can, what must be the height, in inches, of the can?

• 4

• 5

• 6

• 7

An open rectangular box with square base is to be made from 48 sq. m of material. What is the largest possible volume of the box in cubic meters?

• 28

• 30

• 32

• 34

• 1

• -2

• -1

• 2

Tags

CCSS.HSF-IF.C.8B

The depth of water in a cylindrical tank 4 m in diameter is increasing at the rate of 0.7/min. Find the rate at which the water flowing into the tank.

• 7.3291 cu. m/min

• 8.8302 cu. m/min

• 8.3201 cu. m/min

• 8.7964 cu. m/min

When the area in square units of an expanding circle is increasing twice as fast as its radius in linear unit, the radius is

• pi

• 1/pi

• 2pi

• 1/2pi