Which of these is not true? the slope of a secant represents the average rate of change. the slope of a secant represents the instantaneous rate of change. the slope of a tangent represents the instantaneous rate of change. the slope of a tangent that is parallel to the x-axis will be zero.

Q: The function y = f(x) is graphed below. What is the average rate of change of the function f(x) on…

A: Average rate of change of f(x) on 3 ≤x ≤4 is f(4)-f(3)4-3

Q: When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.03 cm/ min.…

A:

Q: What is the set of points for which the rate of change of z is

A: Given equation - z = x2+y2           ............(1)dtRate at which x is increasing = dxdt = 2…

Q: a snowball melts in such a way that the rate of change in its volume is proportional to its surface…

A: Please see the below pictures for detailed solution.

Q: The function y = f(x) is graphed below. What is the average rate of change of the function f (x) on…

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Q: The area of a square with side s is A(s) s°. What is the rate of change of the area of a square with…

A:

Q: Choose whether the following statement is true or false. The approximation of an instantaneous rate…

A: The given statement is:  The approximation of an instantaneous rate of change can be obtained by…

Q: The area of a square with side s is A(s) s². What is the = rate of change of the area of a square…

A:

Q: (a) Find the instantaneous rate of change of pressure with respect to temperature if the temperature…

A: Question is solved.

Q: 1. Find the rate of change of the area of a circle with respect to its radius when the radius is 3…

A: Given that radius of circle r=3. The objective is to find the rate of change of the area of a circle…

Q: Based of the graph, estimate the average rate of change from x=1 to x=4

A: Find the values of y at x=3 and x=1 which will be the values of f(3) and f(1) and then find the…

Q: A triangle base is increasing at a rate of 4 cm/s and its height is decreasing at a rate of 1 cm/s…

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Q: How do you solve?

A: Given, Side of square= x x(t)= 3t+1 Therefore, Area= (3t+1)*(3t+1) A(t)= 9t²+6t+1

Q: Yes or No. If No, give a reason.

A: Part (a) - Given intervals = a, bPoints of secant line are a, f(a) and b, f(b)Slope of the secant…

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

A: the given function is: y=-2x3-3x2+8 the given interval is [-2,6] we have to find the average rate of…

Q: The accompanying figure shows the graph of the pressure p in atmospheres (atm) versus the volume V…

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Q: One airplane is approaching an airport from the north at 128 km/hr. A second airplane approaches…

A: Let x be the distance of south bound plane and y be the distance of west bound plane from airport at…

Q: Based on the graph above, estimate to one decimal place the average rate of change from z= 1 to

A: mark the points as shown in the following figure

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: e. An airplane flying on a straight flight path will be exactly above a radar tracking station,…

A: Given: Perpendicular distance between station and plane is 5,000 km.   To find rate of distance of…

Q: The radius of a spherical balloon is decreasing at a rate of in/sec. Which of the following is the…

A:

Q: The radius r of a right circular cylinder with a fixed height of 48 inches is increasing. Find the…

A: Given that , h=48 inch r1=3 feet , r2=5 feet find average rate of change in volume.

Q: Find the rate of change of y with respect to x when x=3000 and y=100

A: Given data:   The given expression of the function is 180x0.75y0.25=230,734. The given value of…

Q: The surface area of a cube with sides of length x is given by S = 6x2. Find the rate of change of…

A: Given: The surface area of the cube : S=6x2 To find : Rate of change of surface area with respect to…

Q: consider the equation f(x) =5x2 find the average rate of change between x=3 and x=3+x

A: Given: the equation f(x) =5x2 and find the average rate of change between x =3 and x =3+ x

Q: The volume of a cube with sides of lengths is given by=s. Find the rate of change of volume with…

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Q: hamster wheel has a point on the wheel with height modelled by the equation, where h is in cm and t…

A: In this question, the concept of the average rate of change is applied. The average rate of change…

Q: The slope of the secant line to f between points a and b is the same thing as the average rate of…

A: Slope of secant line is not equal to the average rate of change. Because, average  rate of change is…

Q: given the function defined in the table find the average rate of change in simplest form of the…

A: Use formula of avg rate of change

Q: regardless of which two points on a line you find the average rate of change of, the slope is always…

A: Average rate of change of slope of a line is always 0.

Q: One ship is approaching a port from the east, traveling west (to the left) at 15 miles per hour,…

A: Let x be the distance between pole and the one ship and y be the distance between the pole and the…

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: As per guideline we have to solve one question Please repost other question again

Q: What is the instantaneous rate of change of the secant function at ? O 2√3 02 0²/0 113 O 03/13 28

A: Solution

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

A:

Q: Use Definition 1 or 2 to find the instantaneous rate of change of the function at the given value.…

A: The instantaneous rate of the function N(x)=1x, x=8

Q: The area of a square with sides of length s is given by A = s2 . Find the rate of change of the area…

A: The area of a square with sides of length s is given by , A=s2. To find the rate of change of area…

Q: Find the rate of change of x with respect to p. 900 – x p = 0 < x< 900 бх

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Q: The radius of semicircle is increasing at the rate of 0.8 cm/s, calculate the rate of change in the…

A:

Q: If f is the (constant) focal length of a convex lens and an object is placed at a distance p from…

A: Given,1f=1p+1qwhere f is focal lenrth and an object is placed at a distance p from the lens and its…

Q: When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.05 cm /…

A: Area =πr² Find dA/dt when r=56 cm

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: A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.2 cm/min.…

A: Given          drdt=-0.2 cm/min            r=12 cm.

Q: A jet is approaching a radar station with a speed of 1,256 mph and a stable altitude of 9504ft. When…

A:

Q: The radius of a sphere decreases at the rate of 5 m/s. when the radius is 10m, then the rate of…

A:

Q: The area of a circle is decreasing at a rate of 5 cm2/s. Find the rate of change of the circle’s…

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Q: Speed is the rate of change of velocity over time. True False

A: The given statement is, "Speed is rate of change of velocity over time"

Q: A heated circular plate has a radius of 24 in. What is the rate of change of the plate's radius if…

A: To find the rate of change of plate's radius

Q: The average rate of change of the height of water in a vase with respect to the volume of water in…

A: The given statement is, "The average rate of change of the height of water in a vase with respect to…

Q: The area of a square with side s is A(s) = s². What is the rate of change of the area of a square…

A: We are given :  The Area of a square with  side s is A(s) =s2

Q: A pendulum of length 10 cm has swung so is radian measure of the angle formed by the pendulum and a…

A: Follow the procedure given below.