What is the rate of change of the area of a circle with respect to the radius when the radius is R 6?
What is the rate of change of the area of a circle with respect to the radius when the radius is R 6?
The rate of change of the area of a circle with respect to its radius r at r = 6 cm is. (A) 10π (B) 12π (C) 8π (D) 11π Hence, the required rate of change of the area of a circle is 12π cm2/s. The correct answer is B.
What is the rate of change of the radius?
The rate of change of the radius dr/dt = . 75 in/min because the radius is increasing with respect to time. hence, the volume is increasing at a rate of 75π cu in/min when the radius has a length of 5 inches.
What is an example of a rate of change?
Other examples of rates of change include: A population of rats increasing by 40 rats per week. A car traveling 68 miles per hour (distance traveled changes by 68 miles each hour as time passes) A car driving 27 miles per gallon (distance traveled changes by 27 miles for each gallon)
What is the rate of change of the area of a circle with respect to its radius R at R 6cm?
Hence, the required rate of change of the area of a circle is 12π cm2/s. The correct answer is B.
What is Rate in simple interest?
Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.
What is the formula of time in simple interest?
Notes: Base formula, written as I = Prt or I = P × r × t where rate r and time t should be in the same time units such as months or years. Time conversions that are based on day count of 365 days/year have 30.4167 days/month and 91.2501 days/quarter. 360 days/year have 30 days/month and 90 days/quarter.
What is the rule of 72 and how is it calculated?
The Rule of 72 is a simple way to determine how long an investment will take to double given a fixed annual rate of interest. By dividing 72 by the annual rate of return, investors obtain a rough estimate of how many years it will take for the initial investment to duplicate itself.
How is per annum interest calculated?
Calculating Per Annum Interest To calculate a monthly interest payment based on a per annum interest rate, multiply the principal basis for the loan by the annual interest rate. Divide the annual interest amount by 12 to calculate the amount of your per annum interest payment that is due each month.