7. How does the average rate of change for a square root function behave, for intervals of fixed lengths over the domain, as the endpoints of the intervals increase? Explain.

Q: 1. Determine the average rate of change of f(x) = 4x - 2x +1 on the interval [-1, 3]. Show your…

A: As we know that the expression for the average rate of change of a function over an interval a,b:…

Q: he number q of roller blades a firm is willing to sell per week at a price of $p is given by q =60…

A: In the given question, concept of derivative is applied. Derivative The derivative expresses the…

Q: A simple curve that often makes a good model for the variable costs of a company, as a function of…

A: Given : a curve that makes a good model for the variable costs of the company and has the form -…

Q: ¹) If a rock is thrown upward on the planet Mars with a velocity of 10m/s, its height in meters…

A: Note: Hi! Thank you for the question, as per the honor code, we are allowed to answer three…

Q: When a certain drug is taken orally, the amount (in milligrams) of the drug in the bloodstream after…

A:

Q: The average forward speed for neotropical butterflies can be modeled by the function, V(m)= 4.2 √m…

A: We have to find average forward speed of a butterfly with a body mass of 0.4gram

Q: hourly demand given for chocolate chip cookies is q= 8e^-0.1p cookies for charging p dollars per…

A: Given that hourly demand given for chocolate chip cookies is q=8e-0.1p

Q: xsin (x) lim→ o 3

A:

Q: The graph of a function is given. y 3 1 Determine the net change between the indicated points on the…

A: Given,

Q: estimate the instantaneous rate of change at the point indicated

A: To find the instantaneous rate of change we will find y'(x) We use the power rule

Q: Consider the function f (x) = -x² + 10. Find the average rate of change in the interval -5 <x < -1.

A:

Q: The graph of a function is given. y (a) Determine the net change between the indicated points on the…

A: graph of the function is given, we have to find net change and average rate of change

Q: 28) (a) Is the graph pictured below a function?_ 8(66) 4 1. 0 -1- -2- -3- 0 Why or why not. (b) What…

A:

Q: If a brick is dropped from a height of 27 ft., it’s position after t seconds is given by the…

A: Given function for the position after t seconds is, st=-16t2+27 Height from which it is dropped is…

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.