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Mathematics: CUET Mock Test - 10 - Question 1

What will be the average rate of change of the function [y = 16 – x^{2}] between x = 3 and x = 4?

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Mathematics: CUET Mock Test - 10 - Question 2

What will be the approximate change in the surface area of a cube of side xm caused by increasing the side by 2%.

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Mathematics: CUET Mock Test - 10 - Question 7

What will be the average rate of change of the function [y = 16 – x^{2}] at x = 4?

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Mathematics: CUET Mock Test - 10 - Question 8

Find the approximate value of f(4.04), where f(x)=7x^{3}+6x^{2}-4x+3.

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Mathematics: CUET Mock Test - 10 - Question 11

What will be the value of the co-ordinate whose position of a particle moving along the parabola y^{2} = 4x at which the rate at of increase of the abscissa is twice the rate of increase of the ordinate?

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Mathematics: CUET Mock Test - 10 - Question 16

The time rate of change of the radius of a sphere is 1/2π. When it’s radius is 5cm, what will be the rate of change of the surface of the sphere with time?

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Mathematics: CUET Mock Test - 10 - Question 17

Find the approximate change in the volume of cube of side xm caused by increasing the side by 6%.

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Mathematics: CUET Mock Test - 10 - Question 21

A solid cube changes its volume such that its shape remains unchanged. For such a cube of unit volume, what will be the value of rate of change of volume?

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Mathematics: CUET Mock Test - 10 - Question 26

A 5 ft long man walks away from the foot of a 12(½) ft high lamp post at the rate of 3 mph. What will be the rate at which the shadow increases?

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Mathematics: CUET Mock Test - 10 - Question 27

Find the approximate error in the volume of the sphere if the radius of the sphere is measured to be 6cm with an error of 0.07cm.

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Mathematics: CUET Mock Test - 10 - Question 30

For the given equation (x+2) (x+4) = x^{2} + 6x + 8, how many values of x satisfies this equation?

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