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Ishana K

Numerade Educator

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Educator Statistics

Numerade tutor for 5 years
1140 Students Helped

Ishana's Quick Ask Videos

02:06
Calculus 3

If a function f is Riemann integrable on [a, b], then f is
continuous on [a, b]. Prove or disprove.
03:00
Calculus 3

Azim is saving to buy a new car. He invests RM 5,000 into an account that pays 3% interest per year and is compounded monthly. How much will he have after 5 years?
Zizan is planning to buy a car in three years. He invests RM 5,000 now and wants to have RM 6,000 to spend on the car when he buys it. What interest rate would he need if his investment is compounded monthly?
02:47
Calculus 1 / AB

Differential Calculus
1. The cost per hour of running a motor boat is proportional to
the cube of the speed. At what speed will the boat run against a
current of 8 km/hr in order to go a given distance most
economically?
2. Sand is fating off a conveyor onto a conical pile at the rate
of 15 cm^3/min. The base of the cone is approximately twice the
altitude. Find the height of the pile if the height of the pile is
changing at the rate 0.047746 cm/min.
3. The volume of the sphere is increasing at the rate of 6
cm^3/hr. At what rate is its surface area Increasing when the
radius is 50 cm (in cm^3/hr)
02:59
Calculus 1 / AB

A balloon leaving the ground 80 ft from an observer, rises
vertically at the rate of 10 ft/sec. How fast is the balloon
receding from the observer, after 6 sec?
01:49
Calculus 1 / AB

A block of unknown metal has the following dimensions: 1cm x 1cm x 3cm. The block's density is 8000 kg/m^3. What is the mass of the block?
04:00
Calculus 1 / AB

A rectangle with sides parallel to the coordinate axes is inscribed in the region bounded by the graphs of y = 36 - x^2 and y = 2x^2 - 9. What is the maximum possible area of such a rectangle?
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