S(1) = 5x + 3 What is the rate of change as x goes from I = 2 to r = 3?

Q: The height of a rectangle is increasing at a rate of 11 cm/hr and the width of the rectangle is…

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Q: Estimate the instantaneous rate of change at x= 1 for Ax) = /x + 1. a) -2 b) -0.5 c) 0.5 d) 2

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Q: Given the rate of change of a quantity Q and its initial value Q(0), explain how to find the value…

A: Given: the rate of change of a quantity Q and its initial value Q(0), To find: the value of Q at a…

Q: In the equation, x2+y2=45, what is the value of the rate of change in y with respect to the time t…

A: Given : x2 + y2 = 45dxdt = -2x = 3

Q: Two people start moving from the same point. One heads east, at 24 km/h, the other south at 18 km/h.…

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Q: Suppose x and y are functions of third variable t. In the equation x2+y2=45, what are the values of…

A: In the question it is given that x and y are the function of the variable t in the equation…

Q: The rate at which bacteria multiply is proportional to the instantanous N numbers present. If the…

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Q: 5. Find the instantaneous rate of change of 1 g(x) = 2x – 32x° + 17x² – 9x + 4 at x = 2

A: Given equation is, gx=2x4-32x3+17x2-9x+4

Q: What is the rate of change for h(x) = 8x - 9 on the interval [1, 4]?

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Q: We are given f(x) = 9x2 and f '(x) = 18x. Find the instantaneous rate of change of f(x) at x = 2.

A: Given function is

Q: You have a large metal box filled with honey, where the width is 14 cm, the length is half its size,…

A: For the metal box, it is given that width is b=14 cm, Length is half of width, l=7 cm,  Volume is…

Q: 4x+2 find average rate of change from x=-1 t x=1

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Q: If ,f(x) = 19x2 − x3, what is the rate of change of f '(x) at (2, 68)?

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Q: In the equation, x2 +y² = 45, what is the value of the rate of change in y with respect to time t…

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Q: find the rate of change. The reciprocal 1/x with respect to x when x = 1, 2, 3

A: The rate of change of a function is the value of the derivative of the function; thus, let the…

Q: Find the instantaneous rate of change of 7. y = (x + 1)*(x – 3) at a = 1.

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Q: How would i calculate the instantaneous rate of change given at the given point (3,10.1)?

A: Let's find.

Q: The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of…

A: Given: The length of a rectangle is increasing at a rate of  9cm/s and its width is increasing at a…

Q: 4) Determine the instantaneous rate of change at x = 2 for f(x) = 2x2 + 4x

A: We have to find instantaneous rate of change

Q: What is the rate of change of y with respect to x for this function?

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Q: The area of the expanding rectangle is increasing at the rate of 48 square centimeters per second.…

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Q: Suppose y varies at a constant rate of change of 4 with respect to x (so that Δy=4⋅Δx ), and when…

A: topic - linear equation in two variables

Q: 14. Find the rate of change of y= (2x' +6x +4) at x =-1.

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Q: A square with side x, is changing with time where x(t) =3t + 1. What is the formula for the rate of…

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Q: The population of bacteria in a culture grows at a rate proportional to the number of bacteria…

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Q: Suppose the constant rate of change y with respect to x is -2.5 and we know that y=-6.75 when x=1.5…

A: Given,The constant rate of change of y with respect to x = -2.5.We know that,Slope = rate of change…

Q: If f(x) = 12x2 - x3, what is the rate of change of f'(x) at (-1, 13)?

A: We know that, the rate of change of f(x)  is (d/dx) {f(x) }.

Q: Find x0 given that the rate of change of y =2x2+x-1 with respect to x at x=x0 is 4

A: giveny =2x2+x-1 rate of change=4rate of change=dydxdydx=4x+1

Q: If the total revenue function for a blender is R(x) = 28x – 0.01x² where x is the number of units…

A: To find The average rate of change of revenue R(x) as x increases from 10 to 20 units.

Q: Find the rate of change of x with respect to p. 500 – X 0 < x < 500 8x

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Q: The length of a rectangle is decreasing at the rate of 5 cm/s and its width is increasing at the…

A: Area of a rectangle = length× width Rate of change with respect to time is D/Dt

Q: What is the rate of change of y with respect to x for 9x-11y+2=0

A: Given that 9x-11y+2=0 We need to find the rate of change of y with respect to x that is dy/dx.

Q: A certain radioactive substance has a half-life of 38 hours. The rate of change in the decay is…

A: Solved below

Q: Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had…

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Q: What is the instantaneous rate of change of y=y=−2x^2+2x at x=0 ?

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Q: Suppose x and y are functions of third variable t. In the equation +y=45, what are the values of the…

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Q: Suppose a and y are related by a constant rate of change Ay and = 2, and y 4 when x = 3. Ax

A: Suppose x and y are related to the constant rate of change and ∆y∆x=2and y = 4 when x= 3

Q: Suppose yy varies at a constant rate of change of -0.6 with respect to xx (so that…

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Q: If f(x) = 5x2 − x3, what is the rate of change of f '(x) at (2, 12)?

A: To calculate the rate at which the given function changes at the given point

Q: A point moves along the curve y of 2 units per second. At what rate is x changing when = = 2x2 1 in…

A: According to the question, we have to find the rate of the x when x=-32, if the rate of change of y…

Q: What is the instantaneous rate of change at x = 2 of the function f given by 2x f(x) O O 4 -2 H N -…

A: What is instantaneous rate of change at x=2 of the function f given by   f(x)= 2x/x-1

Q: What is the instantaneous rate of change of A with respect to s when s is 4.00?

A: Given a square of area A in2 and length of the side s in To find the instantaneous rate of change of…

Q: The value of y varies at a constant rate of change of 1.7 with respect to x. If x varies from x=3 to…

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Q: An apple pie with an initial temperature of 170 -C is removed from the oven and left to cool in a…

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Q: If f(x) = 12x2 − x3, what is the rate of change of f '(x) at  (−1, 13)?

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Q: If the rate of change of y with respect to x is equals to 2-y and y=8 and x=0. Find y when x=ln(2).

A: Given: The rate of change of y with respect to x  is equal to 2-y. That is, dydx=2-y

Q: Find the average rate of change of from y = x³ - 2x + 3 from 0 to x = 3. -

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Exponential Growth Model

The relation that represents an exponential function is: