A triangle has a base that is increasing at a rate of 18 mm per minute with the height being held constant. WWhat is the rate of change of the area of the triangle if the height is 7 mm? (Do not include the units in your answer.) Provide your answer below:

Q: The flow rate is cfs, which is approximately % of the flow rate of the river. (Round to the nearest…

A: 1 day = 24 hrs = 24* 60 minutes = 24*60*60 seconds=86400 seconds 7.5 gallons = 1 cubic feet So 9…

Q: Given the area of a circle A=πr^2, find the rate of change of diameter d if dA/dt=3cm/min and the…

A: To find: The rate of change of the diameter d. Given: The rate of change of area is dAdt=3…

Q: The base radius, r, of a cylinder is decreasing at a rate of 0,2cm/s while its height, h, is…

A:

Q: A car is traveling at 50 mi/h when the brakes are fully applied, producing a constant deceleration…

A: Given that the initial velocity of the car is 50 mi/h and the deceleration is 40 ft/s2. The…

Q: O. At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and…

A:

Q: A cylindrical box has a fixed height of 12 inches. Find the rate of change of volume with respect to…

A:

Q: At a temperature of 20°C, the volume V (in liters) of 1.33 g of o, is related to its pressure p (in…

A: NOTE: Refresh your page if you can't see any equations. . on the interval [8,11], the average rate…

Q: Sketch the situation If necessary and use related rates to solve. Kvita A 14 ft ladder is leaning…

A:

Q: An engineering student is experimenting on a cylindrical can with a fixed rate of 8 inches. Find the…

A: Please check step 2 for the solution.!

Q: A Conical Cup is 4cm across and 6cm deel. Water leaks cut of the bottom of the cup cit a rate of…

A: Consider the given information. The diameter of the cup is 4 cm. r=d2=42=2 cm The height is 6 cm.…

Q: (b) Use the given formulas for the volume and area (displayed above the diagram) to rewrite the…

A:

Q: If the rate of change of the side length of an equilateral triangle is 2br / sec, what is the rate…

A: Please rate and feel free to ask any query about any part of the question.  I have used applications…

Q: The radius, r, of a circle is decreasing at a rate of 4 cm/sec. Find the rate of change of the area,…

A:

Q: The radius of a circle is increasing at a rate of 2 ft/min. At what rate is its area changing when…

A:

Q: The lengths of the edges of a cube are increasing at a rate of 9 ft/min. At what rate is the surface…

A: Total surface area of cube S = 6x2 Where x is length of the side of cube. we have given x = 19 ft.…

Q: The length of a rectangle is increasing at a rate of 12 in./s, while its width is decreasing at 2…

A:

Q: Given a cylinder surmounted on both ends by a hemisphere, find the rate of change of its volume with…

A: Given:     Cylinder is surmounted by hemisphere at both ends.And height of cylinder is 5 meter.

Q: 31. The rate of change of the circumference of a circle when its radius increases at 1 cm/min is Зп…

A: The solution is given in the next step.

Q: If the radius of a circle increases at the rate of 0.01 inch/sec, find the rate of change of the…

A: We have to find the rate of change of area when the radius is 3 inches and when the radius increases…

Q: Sand is being dropped at the rate of 5 n3/min onto a conical pile. If the height of the pile is…

A:

Q: The edge of a square is increasing at the rate of 3 cm / sec. At what rate is the area of the square…

A: Here is the question of application of derivatives So here let's assume that, Side of square = x…

Q: The radius of a sphere decreases at the rate of 4 m/s. when the radius is 10m, then the rate of…

A: We will find the rate of change in surface area as following .

Q: find the rate of change of the circumference of a circle when the area is increasing at the rate of…

A:

Q: The area A of a circle is increasing at a constant rate of 2cm's-. If the area of the circle is…

A:

Q: the radius r, of a circle is decreasing at a rate of 2cm per minute. Find the rate of change of  the…

A: givenradius (r)=5 cmdrdt=2 cm/minwe knoww circumference of the circle (C)=2πrdiffrentiatedCdt=2πdrdt

Q: A cylindrical box has a fixed height of 12 inches. Find the rate of change of volume with respect to…

A:

Q: A light is hung 15 ft above a straight horizontal path. If a man 2 ft tall is walking away from the…

A: Calculation of rate by which shadows lengthening.

Q: A rope is attached to a boat at water level, and a personon a dock is pulling the rope at the rate…

A: Let's find speed of boat.

Q: A baseball diamond is a square with sides of length 90 ft. A batter hits the ball and runs toward…

A:

Q: 10. A rectangular trough is 10 ?? long and 3 ?? wide. Find how fast the surface rises, if the water…

A:

Q: An inverted cone is partially filled with water, as shown below. The radius of the inverted cone is…

A: Volume of a cone is V=1/3 πr2 h We have given radius 16 mm and height 18 mm. Express radius in terms…

Q: A factory produces bicycles at a rate of 100+0.3t^2−0.5t bicycles per week (t in weeks). How many…

A: A factory produces bicycles at a rate of

Q: A square with side x cm, is changing with time where x(t) = 4t – 2. What is the rate of change of…

A: Given: A square with side x. changing with time is given as, xt=4t-2. The objective is to find the…

Q: The radius of a circle is increasing at a rate of 5 ft/min. At what rate is its area changing when…

A: We can find the rate of change of area as below.

Q: The radius of a sphere decreases at the rate of 5 m/s. when the radius is 6m, then the rate of…

A: First I have written about rate of decrease in radius and then written the formula of Surface Area…

Q: The volume V = 3 "Tr° of a spherical balloon changes with the radius. 3 a. At what rate (in°/in)…

A: We know that the volume of the sphere  is V=43πr3 To find the rate of change in volume with respect…

Q: Uzun kenarı, kenar uzunlu uzunluğu 2 b nedir? 28 - O A) 8 O B) 4 C) 6

A:

Q: The volume of a cube is decreasing at a rate of 120 mm³ /s. What is the rate of change of the cube's…

A: Use  formula of volume and surface area of cube and then differentiate

Q: For many species of fish, the allometric relationship between the weight W and the length L is…

A: Here the given that, the allometric relationship between the weight W and the length L is…

Q: The volume V=r° of a spherical balloon changes with the radius. a. At what rate (ft°/ft) does the…

A: Consider the given equation: V=43πr3 Where V is the volume and r is the radius. Differentiating the…

Q: (d) Let A(w) be as described in part (e). Find the rate of change of A wih respect tow when w6.

A:

Q: The volume V = Tr of a spherical balloon changes with the radius. a. At what rate (in/in) does the…

A: Given: V=43πr3

Q: The sides of a cube increase at a rate of R cm/s. When the sides have a length of 2 cm, the rate of…

A:

Q: The top of a ladder slides down a vertical wall at a rate of 0.15 m/s . At the moment when the…

A: Solution is in step 2 Option A is correct answer.

Q: . A trough has ends shaped like isosceles triangles, with width 3 m and height 4 m, and the trough…

A: Given that a though has ends shaped like isosceles triangle with width 3 m and height 4m and trough…

Q: The volume of a cube is decreasing at a rate of 420 mm³ /s. What is the rate of change of the cube's…

A:

Q: The length of a rectangle is increasing at a rate of 9 in./s, while its width is decreasing at 2…

A:

Q: The radius of a circle is increasing at a rate of 3 ft/min. At what rate is its area changing when…

A:

Q: The radius of a sphere is decreasing at a rate of 2 centimeters per second. At the instant when the…

A: Write the equation of the surface area of sphere solve it as per given in step 2