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1. let f(x) = x^2-2x+2 on the interval [-1, 2]. Sketch a graph of this function along with the rectangles that would be used to approximate the area under the curve using a right sum with n = 6. Be accurate and make your graph large.
a) Calculate the approximation in #1 stepwise, use appropriate notation.
b) Approximate the area under the graph of f(x) = x^2 - 2x + 2 on the interval [-1, 2]. Using a right sum with n = 24. show all the relevant steps depending upon your approach as above.
c) Do the approximation in (a) and (b) overestimate or underestimate the true area? Explain without finding the actual area.
2. Find the exact area under the graph of f(x) = x^2 - 2x + 2 on the interval [-1 , 2] using limits with a right sum. Correct notation is crucial.
3. Find the area under the graph of f(x) = x^2 - 2x + 2 on the interval [-1 , 2] using a definite integral. Show all required work.
Please give step by step instructions and name each step like triangular form, augmented matrix etc so I know when and what to do and can understand it. We are not using calculator so the steps need to be shown to the solution.
Suppose further that every $100 billion spent on defense increased taxpayer satisfaction by 5% while every $100 billion spent on other services increased satisfaction by 3%.
Simplify the equations.
The length of a rectangular swimming pool is 2x - 1 meters, and the width is x + 2 meters. Write a polynomial A(x) that represents the area. Find A(5).
Let G be a group and let a,b be two elements of G. The conjugate of b by a is, by definition, the element . The centralizer of a, denoted by s the set of all elements g in G such that ga=ag.
Find the equation of the resulting function
show that C=H for every subgroup H such that XC=H. Thus is the smallest subgroup of G that contains X, and is called the subgroup generated by X.
The current I in ampers, flowing through a particular ac curcuit at time t seconds is I = 120sin (70πt -π/6). What is the period of the current?
Which of the following functions are linear transformations and Find the standard matrix representing each given linear transformation
Graphs translations
Calculate s(k) for each natural number k from 1 through 15.
A rational number is a number that can be expressed as the ratio of two integers p and q such that q ≠ 0.
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