w many times between two points do we have an Instantaneous Rate Of change equalling Average ro

Q: A solid steel shaft at room temperature of 27°C is needed to be contracted so that it can be shrunk…

A: Given that, dθdt=-5.33×10-6(θ+33)-3.69×10-6θ4+2.33×10-5θ3+1.35×10-3θ2+5.42×10-2θ+5.588 θ=27°C when…

Q: A.) A perfectly spherical balloon is losing volume at a rate of 3 in3 per sec. How fast is the…

A: A perfectly spherical balloon is losing volume at a rate of 3 in3 per second. That is, dVdt=-3 Now…

Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 1 meter per day and…

A: Here in this question both the radius of circle as well as sides of square are changing with respect…

Q: Find the rate of change of 1/x with respect to x when x=2

A: f(x)=1xrate of change of 1/x with respect to x isdf(x)dxdf(x)dx=-1x2

Q: A new type of vehicle tires is released on the market with a rate of tire cracking: on average one…

A: Given information: Average number of cracks every 2000 km = 1  Average number of cracks every 500 km…

Q: Find the average rate of change on the given interval. Then find the instantaneous rate of change at…

A: Consider the provided equation, y=x+4x-1  from  x=2 to x=5 Find the average rate of change on the…

Q: if A sq units is an area of an isosceles right triangle for which each leg has a length of x units.…

A:

Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 3 meters per hour…

A:

Q: A circle is inside a square.The radius of the circle is decreasing at a rate of 4 meters per minute…

A:

Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 3 meters per minute…

A:

Q: 13. A plane flying horizontally at an altitude of 1 mi and a speed of 500 mi/h passes directly over…

A:

Q: 1. Related Rates: Find when x dt dr

A:

Q: A circle is inside a square.The radius of the circle is increasing at a rate of 5 meters per day and…

A: To find the rate of change of area enclosed between the circle and the square.

Q: 17. The base of a triangle is increasing at a rate of 2in/min. If the altitude is always twice the…

A:

Q: Determine the average rate of changes in the value of y in moving from x=-1 and x=2 f (x) = 5x3

A:

Q: A circle is inside a square. The radius of the circle is increasing at a rate of 1 meter per day and…

A:

Q: 2. A 16-foot ladder rests against a vertical wall. The bottom of the ladder begins sliding at a rate…

A:

Q: 3. The radius of a cylinder is increasing at a rate of 4cm/sec. The surface area remains constant at…

A: Given

Q: A container which has a shape of cone is full of sand. The container stands point down and has a…

A: Given: A cone with fixed top radius, r = 5 cm and height, h = 10 cm; dVdt=-10 m3/min, dhdth=8 cm=?

Q: 2. The radius and lateral area of a right circular cylinder change at the rates of 1 cm/s and -2…

A:

Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 4 meters per minute…

A:

Q: Water is discharged from an inverted cone-shaped tank with a height of 12 m and a radius of 6 m.…

A:

Q: A circle is inside a square. The radius of the circle is increasing at a rate of 3 meters per minute…

A: Let radius of circle be r, side of square be a, the required area be A.

Q: 1. Suppose that oil spills from a container and spreads in a circular pattern. If the radius of the…

A:

Q: The radius of a sphere is decreasing at a rate of 1 meter per hour. When the radius is 8 meters,…

A: Given : The radius of sphere is decreasing by 1 meter per hour. Or we can write the rate of change…

Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 3 meters per day…

A:

Q: How does one find where functions f and g have the same average rate of change when given a graph…

A: According to the given graph the function The function f is equation of straight line passing…

Q: The length of a rectangle is increasing at arate of 5 cm per second and its width is decreasing at a…

A:

Q: It is known that a bacterial culture increases at a rate that is proportional to its current amount.…

A: Given- Number of bacterial fibers after 1 hour=1000 Number of bacterial fibers after 4 hour=3000

Q: 1. Two airplanes left airports which are 960 km apart and flew towards each other. One plane flew 32…

A: This is a question of distance and velocity. Based on the general formula of distance and velocity…

Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 1 meter per day and…

A: Area of circle Ac = r2  Rate of change of radius is    And radius = 3 Area of square As = side² Rate…

Q: 5. Two parallel sides of a rectangle are being lengthened at the rate of 20 mm/sec, while the other…

A: Given that the lengths of the rectangle are begin increased at the rate of 20 mm /sec. The other two…

Q: 16. A plane flying horizontally at an altitude of 1 mi and a speed of 500 mi/h passes directly over…

A:

Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 5 meters per minute…

A:

Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 1 meter per minute…

A:

Q: A 10-foot ladder is standing vertically against the side of a building. To show you a related rates…

A:

Q: A circle is inside a square.The radius of the circle is increasing at a rate of 3 meters per minute…

A: First, find the area outside the circle but inside the squareLet ‘s’ be the side of the square and…

Q: The average rate of change of a function over an interval is the same as the instantaneous rate of…

A: Given that the average rate of change of  a function over an interval is the same as the…

Q: Water is poured into an inverted conical cistern of altitude 12 ft and radius of base 5 ft. If the…

A: Use the following formulae, to obtain the solution.  Volume of the Cone=13πr2h Where r and h is the…

Q: Compute the average rate of change of m(x)=x4  over the interval [a, a+x]. Simplify the expression…

A: Given:  m(x)=x4  To find average rate of change of the given function over the interval [a,a+x]

Q: 5. Give the average rate of change over the interval 0 <x< 5

A: Given that y=x+2x-2find the average rate of change over the interval 0≤x≤5

Q: 6 on the interval [-3,3]| Find the average rate of change of g(x) = 4x3 x2 Deavia

A: The average rate of change of a function g(x) in the interval (a, b) is given by the expression…

Q: The length of a rectangle is increasing at a rate of 5 cm per second and its width is decreasing at…

A: Given- dldt=5cm/sec, dwdt=-3cm/sec To find- The rate of changing of the area when the length and…

Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 3 meters per minute…

A:

Q: Limits allow us to move from the average rate of change over an interval to the (instantaneous) rate…

A:

Q: A circle is inside a square. The radius of the circle is increasing at a rate of 1 meter per minute…

A: For a increase in the rate , we will take the positive value and for the decrease in the rate, we…

Q: A circle is inside a square. The radius of the circle is increasing at a rate of 4 meters per day…

A:

Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 2 meters per hour…

A: We need to find rate of change of area.

Q: A right triangle with legs of lengths x and y has its area given by the following. If the rate of…

A: Area of a right triangle is given by A = 12xy Rate of change of x is 2 units per minute i.e., dxdt =…