Assuming F(r) = f(g(x)) and G(r) = g(f(x)), use the table to compute the following quantities: %3D

Q: s rate of change of the function at the given x-value. f(x) = 3x2 + x − 3 at x = 1

A: Given: fx=3x2+x-3 To find rate of change of f(x) at x=1

Q: The graph of the concentration function c (t) is shown after injecting 7mg of tincture into a heart,…

A: The cardiac output is given as  F=A∫0Tc(t)dt here, Ais defined as the amount of dye which is known…

Q: Find the most general antiderivative for the function - 4V?. | Antiderivative = ?

A:

Q: f 4/9 of a 3rd-grade class are boys, what is the boy co girl ratio in this class?

A:

Q: A manufacture of compressed gasses is looking at new legislation that would require it to reduce the…

A:

Q: Find the average rate of change of g (x)=x-4x+1 from x 2 to x 6. Simplify your answer as much as…

A: Given data: The given function is g(x)=x2-4x+1. The lower limit of x is a=2. The upper limit of x is…

Q: 5. For y = -ln(x), find the value of x where the slope is a) x = − 6 b) -In(6) d) Does Not Exist

A:

Q: find the average rate of change from f(4) to f(10) in the function f(x)=x2+3

A: We have to find the average rate of change from f(4) to f(10) in the function f(x) = x2 + 3 We know…

Q: Let y be inversely proportional to x. If y=12 when x=3, find the constant of proportionality k.…

A: We have to find k

Q: Q3. (a) Mention the engineering application of interpolation and integration. (b) The

A: To Find the engineering applications of interpolation and integration

Q: Given the function f(x)=x2/3, which of the following is a valid formula for the instantaneous rate…

A:

Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

A:

Q: Find the average rate of change of g (x) = -x* +4x+2 from x = 3 to x = 7. Simplify your answer as…

A: See picture added

Q: Given the function f(x) = x² + 12x. (a) Find the average rate of change as x changes from 3 to 5.…

A:

Q: Differentiate. f(x) = - 2 e -X t'(x) = ]

A:

Q: Find the average rate of change of g (x)=-2x- 3x from x=-2 to x=3. Simplify your answer as much as…

A: The given function is gx=-2x2-3x and the given points are x=-2 and x=3. When the value of x=-2, the…

Q: Use the formula below to find the instantaneous rate of change of the function at the given x-value.…

A:

Q: Find the domain of the function. f(x) = √(ln x)

A: To find domain of the function fx=lnx. Solution: Domain is the input value for which a function is…

Q: If a person learns y items in æ hours, as given by y = 19V2?, find the rate of learning for a person…

A: We need to find the rate of learning.

Q: Given the function f(x) = x2 -3 , calculate the average rate of change of the function from x=1 to…

A:

Q: Given the function f(x) = x2/3, which of the following is a valid formula for the instantaneous rate…

A: fx=x23fx+h=x+h23At x=8f8+h=8+h23f8=823=23×23=4

Q: For function f(x) = 2" , state a) the average rate of change from x =1 to x=5 b) the instantaneous…

A:

Q: Given the function h(x) = x² – 8x+8, determine the average rate of change of the function over the…

A:

Q: The price, in dollars per unit, that consumers are willing to pay for a popular high-end digital…

A:

Q: Given the function h(x) = x² – 7x + 6, determine the average rate of change of the function over the…

A: The rate of change of a function is given by it's derivative.

Q: Find the average rate of change of g (x)=x´ + 2x+2 from x=2 to x=7. %3D Simplify your answer as much…

A: The given function,   g(x)=x2+2x+2 from x=2 to x=7

Q: If F = 0.85 and MSE = 86, what is MST equal to?

A: The total variation present in a set of observable quantities may, under certain circumstances, be…

Q: st rate. Consumers react to this rise ding today and spending tomorrow er, and he decides to…

A: The optimal choice for the Lili is shown below as,

Q: Given that h is inversely proportional to x and the fact that h = 15 when x = 21, determine the…

A: Given h is inversely proportional to x. So, h∝1x. i.e. h=k1x Where k is constant.

Q: Given the function h(x) = x2 + 10x + 21, determine the average rate of change of the function over…

A: The objective is to determine the average rate of change of the given function.

Q: 3 Differentiate y = 3t +²- cost+e' . t

A:

Q: Find the domain of the function: h(x) = ln x2

A: h(x)=ln x2

Q: For the following demand function, differentiate implicitly to find dp / dx.  xp^4=6

A:

Q: The height of an arch above the ground is given by the function y=10sinx, for 0 less than or equal…

A:

Q: Find E(X) and if students pay $500 per course plus a $100 per-semester registration  fee., What is…

A: Amount paid for course fee=$500 Amount paid for per-semester registration fee=$100 The objective is…

Q: If f(x,y) = 1 and 0≤x≤1 and 0≤y≤1, what is the value for E(XY)? (Round your answer to two decimal…

A: If ( X, Y ) is a bivariate random variable with joint pdf f(X, Y ), then the expectation of XY is…

Q: Given f(x) + 4x + 2, find the average rate of change on the interval [1, 3].

A:

Q: Give the procedure to fit the following exponential curves, (ii) y =abx.

A:

Q: Given f(x)=ln(5x), what is f'(x) when x=14.2?

A:

Q: Given the function f(x)=4^x-2 , explain and show how to find the average rate of change between x=2…

A:

Q: Estimate h' (3) using the table above.

A: first find slope between 2.9 and 3

Q: Estimate the percentage change in the following function if x decreases by 1%, y decreases by 2%,…

A: For a given function of one or more independent variables, when each function increases or…

Q: For the function given by g (x)= x² + 2x +1, find the average rate of change of function over the…

A: We will find the average rate of change of function as following.

Q: The annual amount that we spend to attend sporting events can be modeled by f(x)=1.09 + 1.1ln(x),…

A: The annual amount that we spend to attend sporting events can be modeled by f(x)=1.09+1.1lnx, where…

Q: Find  f' in terms of g' .

A:

Q: Find the values of x for which y is increasing most rapidly or decreasing most rapidly. 112 Let y =…

A:

Q: Given f(x)=x2+5x+3, find the average rate of change of f(x) from x=−2 to x=t. Give your answer in…

A:

Q: find the average rate of change of g(x)= -2x3 +5x2 from x=-1 to x=2 simplify your answer as much as…

A:

Q: what is the average rate of change of f(x)=log2(x) between 4 and 32. write the answer as a fraction

A: It is average rate of change.

Q: Given the function g(x)=x² −2x³ +1, a. Estimate the instantaneous rate of change at x = 1. b. Will…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.