A triangle has a base that is increasing at a rate of 2 cm/sec and a height that is decreasing at a rate of 3 cm/sec. Find the rate of change of the area of the triangle when the height is 6 cm and the area is 24 cm². Write your answer as a decimal rounded to two decimal places. cm²/s

Q: The radius of a circle is increasing at a rate of 4 centimeters per minute. Find the rate of change…

A: Area of circle having radius r is given by:     A=πr2Given rate of change of radius=drdt=4cm/minRate…

Q: 16 21.8. So" 4z dz

A:

Q: Find the indicated z-score shown in the graph to the right.

A: From the given plot, The area is P(Z<z)=0.3745.

Q: 5000 1000 = 1.96

A: We have given that,  Margin of error (M.E) = 1000 Critical value (Zc) = 1.96 And population standard…

Q: A dog is running away from a 15-ft. high streetlamp at a rate of 9 ft/sec. The dog’s head is 2 ft…

A: Given

Q: A trough is 10 feet long and 2 feet across the top. It's sides are isosceles triangles with…

A: Given that length of trough  l = 10 feet width at top of trough(base of triangle)  b = 2 feet height…

Q: The radius r of a circle is increasing at a rate of 5 inches per minute. Find the rate of change of…

A: Solution

Q: The dosage D of a drug that a physician prescribes Varies directly as the patient’s mass M and…

A:

Q: the area of a circle is decreasing at a rate of 3 meters-squared per second. find the rate of change…

A: Area of circle is πr^2. Differentiate area with respect to time and evaluate rate of change of…

Q: The length of a rectangle is increasing at a rate of 8 in./s, while its width is decreasing at 3…

A:

Q: Give your answer accurate to 3 decimal places. The area of an equilateral triangle is decreasing at…

A:

Q: turtle moves at a rate of 3/4 m an hour. The turtle is 8 1/2 meters from the beach. How long until…

A: