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(Click on the graph for a larger version.) If the areas A, B and C are all defined to be the area...
Below is the graph of of an unknown function g(x). The aim of this question is to use the graph to describe features of the integral of g(x) between -1 and x, that is, the area enclosed by the graph between -1 and any given value of x 3 2 g(x) 1.5 1.5 05 -1 This area is defined by the function h(x)=/g(t)dt for-1-xs1.5 Make a neat hand-drawn sketch of h(x) over the interval-1-x 1 .5 . a. b. Clearly...
Below is the graph of of an unknown function g(x). The aim of this question is to use the graph to describe features of the integral of g(x) between -1 and x, that is, the area enclosed by the graph between -1 and any given value of x 3 2 g(x) 1.5 1.5 05 -1 This area is defined by the function h(x)=/g(t)dt for-1-xs1.5 Make a neat hand-drawn sketch of h(x) over the interval-1-x 1 .5 . a. b. Clearly...
please solve b and c
3. Use the following steps to sketch the graph of each of the following functions. Step 1: Find the domain. Step 2: Find the y-intercept and all x-intercepts. Step 3: Decide if the function has any symmetry: odd, even, periodic. Step 4: Find any horizontal or vertical asymptotes. Justify using limits. Step 5: Find the critical numbers and determine intervals of increase/decrease. Step 6: Identify all local extrema. State as ordered pairs. Step 7: Determine...
(1 point) Below is the graph of the derivative f'(x) of a function defined on the Interval (0,8). You can click on the graph to see a larger version in a separate window. n (A) For what values of x in (0,8) is f(x) increasing? Answer: Note: use interval notation to report your answer. Click on the link for details, but you can enter a single interval, a union of intervals, and if the function is never increasing, you can...
solve the following
3. Since g(x)-mx+b In(Cx)), we suspect that f(x)c)Ca. We can rewritefx) C2/ for constants C,k. Then gx) In))-x + In(c). In(2) a. Write out the algebra that brings us frome to C2** (Hint: This only relies or properties of exponents and the fact that ein 2 = 2. So, look at the algebra cheat sheet) b. By comparing the two expresSons for g(x), find k and C. Round to the first decimal place. (Note: ax + b...
1. Let A= {0,1}2 U... U{0,1}5 and let < be the order on A defined by (s, t) E< if and only if s is a prefix of t. (We consider a word to be a prefix of itself.) (a) Find all minimal elements in A. (Recall that an element x is minimal if there does not exist y E A with y < x.) (b) Are 010 and 01101 comparable? 2. Give an example of a total order on...
Peer Leading Exercise 7 Spring 2019: Area Under the Given a function (x), the area under the curve is the area of the region bordered by the x -sxis and the graph of y(x). Area under the curve is somehow related to anti-derivatives. We wish to Example: Let f(x) -10-2x. Find the area under the curve between x 0 and x graph to help you visualize what is going on. Do you recognize the shape? 5. We include a 2...
3. Consider the following piecewise function (a) Draw an accurate graph of f(). (b) As always, f(x), has an infinite number of antiderivatives. Consider an antiderivative F(r). Let us assume that F(r) is continuous (we don't usually have to specify this, but you will see in the bonus part of the question why we do in this case). Let us further assume that F(2) 1. Sketch an accurate graph of F(r). MATH 1203 Assignment #7-Integration Methods Due: Thurs., Apr. 4...
The graph of f is shown to the right. The function F(x) is
defined by
for .
a) Find F(0) and F(3).
b) Find F'(1).
c) For what value of x does F(x) have its maximum value? What is
this maximum value?
d) Sketch a possible graph of F. Do not attempt to find a
formula for F. (You could, but it is more work than necessary.)
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(1 point) The figure below gives the behavior of the derivative of g(x) on -2 < x < 2. Graph of g'(x) (not g(x)) (Click on the graph to get a larger version.) Sketch a graph of g(x) and use your sketch to answer the following questions. A. Where does the graph of g(x) have inflection points? x= 1 Enter your answer as a comma-separated list of values, or enter none if...