1. let s(x) = 1.1 Find the average rate of change of s(x) with respect to x as x changes from x%3%3글tox%3D0. 1.2 Find the instantaneous rate of change of s(x) at x =- and compare with the average rate of change in 1.1.

Q: 1. Find the rate of y with respect to x at the point (1, 7) if 7y – ry = 4. dy da

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Q: 1) Assume that a tumour at a rate of G(1) = 13 mg/day at time t grows %3! days. What is the total…

A: integration

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A: Given the function is fx=-3x+log2xgx=2x

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A: Solve for c

Q: for S(x)=200((2x+1)/(3x+4))^0.5 Find the rate at which the S changes with respect to x

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Q: 4.62. Evaluate the derivative of the Gamma function and see dT'(x) r'(x) = dx ' (In t)e"'dt

A: To differentiate the gamma function:         Γ(x) = ∫0∞tx-1e-tdt Integral definition of gamma…

Q: 4.) The cost in pesos of producing x units of a certain commodity is C(x) = 0.05x? + 10x + 5000.…

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Q: 1 1. Given that y =- a. Find the average rate of change of y with respect to x over the interval…

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Q: Write expressions for the average rate of change of y with respect to x between a and x and for the…

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Q: If (X1. (x1)) and (x2, f(x2)) are distinct points on the graph of a function f, the average rate of…

A:

Q: 2. Find the average rate of change of g (x) = -2x-2x from x= 1 to x=4. Simplify your answer as much…

A: Given, gx = -2x2-2x  We have to find the average rate of change of function from x = 1  to  x = 4 .…

Q: Suppose an object moves along the y axis so that its location is y = f(x) = x² +x at time x (y is in…

A: The position of the object at time x is y=f(x)=x2+x (A) The average velocity for x changing from 5…

Q: a new substance C is to be formed by removing two units from each of two substances whose initial…

A: 1st we will formed a differential equation for amount of C and then solve it to get actual amount of…

Q: FInd the average rate of change of the given function on the interval (1,7). G(x)=4x^2+4x

A: Given function ,f(x) = 4x2+4xwe have to find average rate of change of the function on the interval…

Q: 14. Consider y = 4x + 5. Determine the average rate of change of y with respect to x between x = 1…

A: Definition used-              The average rate of change =f(x2)-f(x1)x2-x1

Q: 2 Consider the impact function of a certain drug, I = 0.25D/100 – D, with I a percentage and D in…

A: We will find out the required value.

Q: 1- Find the average rate of change for y = xo = 1 X, = 2

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Q: Consider and solve the initial value problem of a new form of life discovered on a distant planet.…

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Q: 1- Find the average rate of change for y == Xo = 1 X, = 2

A: The detailed solution is as follows below:

Q: 2. What is the average rate of change between x = 2 and x = 3 for the function g(x) = 4(x + 1)² -5…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 5. Calculate the average rate of change for the function ft) = 2x'+5 over the interva -1 < x < 2.

A: We have to find average rate of change

Q: suppose that g(s)=s^2+3s+4 . find a value c in the interval [0,2] such that g'(c) equals the average…

A:

Q: 2.2 Consider the impact function of a certain drug, I = 0.25D/100 – D, with I a percentage and D in…

A: Use average rate formula

Q: Suppose g(s) = s2 + 4s +1. Find a value c in the interval [1, 11] such that g'(c) equals the average…

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Q: t=a,t=ath

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Q: 1. Determine the value of so that the average rate of change of the function h(x) = x + 3x+2 on the…

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Q: You are a process control engineer in a water purification plant. In a certain subprocess, water…

A: Mathematical methods used to solve equations or evaluate integrals or solve differential equations…

Q: a. Calculate the average value of the function g(x) = 2-3cos () for 0<x< 6. 4 Leave your answers in…

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Q: If h (x) = x³ + 4æ² – 12x + 7 on the interval [-2, 4]: For what value(s) of C does h' (c) equal the…

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Q: Suppose that D = √x² + y² is the length of the diagonal of a rectangle whose sides have lengths x…

A: To find the formula for the rate of change of D with respect to x, differentiate D=x2+y2, using the…

Q: Consider and solve the initial value problem of a new form of life discovered on a distant planet.…

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Q: What is the average rate of change of y = cos(2x) on the interval 0,? a. = b. -1 с. О d. 4 e.

A:

Q: Consider a function y = 1 / x a) Find the rate of instantaneous change of y with respect to x at x…

A: a) y = 1 / x dy / dx = - 1 / x2

Q: 19. Suppose the rate of change of production of a regular worker at a factory is given by dp…

A: Given problem:- Suppose the rate of change of production of a regular worker at a factory is given…

Q: Find the average rate of change of y with respect to x if x changes from 3 to 5 in the function y =…

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Q: Let y = x2 + 7. (a) Find the average rate of change of y with respect to x over the following…

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Q: 2 Refer to the graph above and without making any computa- tions find: The average rate of change…

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Q: Find the rate of change of x with respect to p. p =  9 0.000004x2 + 0.05x + 8,    x ≥ 0

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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: You are a process control engineer in a water purification plant. In a certain subprocess, water…

A: Given that the flow is maintained such that qi-q0&gt;0 and their difference is the product of the…

Q: Let g(x) = 6x + 7 and h(x) = x² + 8. What is the average rate of change of g on the interva 2 < x <…

A:

Q: 9. Suppose an object is moving along a path described by; f(t) = t - 6t, where f (t) is measured in…

A: The objects velocity at t is equal to 4 will be the objects instantaneous rate of change at that…

Q: Consider the function y=x/x-1  , where the unit for x is hours and the unit for y is km. a)…

A: Use formula to calculate

Q: 1. Find the average rate of change in y with respect to x over the interval [1, 7]. 2. Use the…

A: Given that: The function is f(x) = 4x -3 .

Q: -4 to x = 1 Find the average rate of change of g(x) = 3x° - 1 from z =

A: Average is (g(1) -g(-4)) /5

Q: Suppose an object moves along the y axis so that its location is y=​f(x)=x2+x at time x​ (y is in​…

A:

Q: E The average rate of change of the function h(t) cost over the given interval is

A: Let us function f(x) on interval [a,b] is, the average rate of change of function  given as avg…

Q: If f(x) = 5x -3 , compute the instontoneus rate of change of Sx) at x-2. OA -3/49 O8.7/41 oc-7/41…

A:

Q: 4. Suppose that the population of a certain collection of rare Brazilian ants is given by P(t) = (t…

A: Recall: Rate of change of P(t) is dP(t)dt. d(tn)dt=n.tn-1 d(u.v)dt=u.dvdt+dudt.v

Q: Consider the function E(x)=x2+6x-5. Compute the average rate of change of E(x) over the interval [a,…

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