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Applications of Derivatives Test - 46
Result
Applications of Derivatives Test - 46

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  • Question 1/10
    4 / -1
    If the rate of increase of area of a circle is not constant but the rate of increase of perimeter is constant, then the rate of increase of area varies
    Solutions

  • Question 2/10
    4 / -1
    A stone thrown vertically upwards rises ‘s’ metre in t seconds, where s = 80t – 16t2, then the velocity after 2 second is
    Solutions

  • Question 3/10
    4 / -1

    Solutions

  • Question 4/10
    4 / -1
    The speed v of a particle moving along a straight line is given by a + bv2 = x2 (where x is its distance from the origin). The acceleration of the particle is
    Solutions

  • Question 5/10
    4 / -1
    A particle is moving along the curve x = at2 + bt + c. If ac = b2, then the particle would be moving with uniform
    Solutions

  • Question 6/10
    4 / -1
    The sides of an equilateral triangle are increasing at the rate of 2 cm/sec. The rate at which the area increases, when the side is 10 cm is
    Solutions

  • Question 7/10
    4 / -1
    The rate of the change of the surface area of a sphere of radius r when the radius is increasing at the rate of 2cm/sec is proportional to
    Solutions

  • Question 8/10
    4 / -1
    Moving along the x - axis are two points with x = 10 + 6t; x = 3 + t2. The speed with which they are reaching from each other at the time of encounter is (x is in cm and it is in seconds)
    Solutions

  • Question 9/10
    4 / -1
    The position of a point in time ‘t’ is given by x = a + bt – ct2, y = at + bt2. Its acceleration at time ‘t’ is
    Solutions

  • Question 10/10
    4 / -1
    Gas is being pumped into a spherical balloon at the rate of 30 ft3/min. Then the rate at which the radius increases when it reaches the value 15 ft. is
    Solutions

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