Evaluate each expression using the graphs of y=f(x) and y=g(…
Evaluate each expression using the graphs of y=f(x) and y=g(x) shown below. Use integer numbers. Type ‘undefined’ if needed. (a) f(3) + g(3) = [Q18a] (b) $f(5) – g(5)= [Q18b] (c) f(0) g(0) = [Q18c] (d) f(-3) / g(5) = [Q18d] (e) g(5) / f(-3) = [Q18e] (f) Domain of f(x). Use the interval notation. [Q18f]. (g) Range of f(x). Use the interval notation. [Q18g] (h) Domain of g(x). Use the interval notation. [Q18h]. (i) Range of g(x). Use the interval notation. [Q18i] (j) g(f(-3)) = [Q18j] (k)
Read DetailsRefer to the graph of the function below, answer the followi…
Refer to the graph of the function below, answer the following questions. If the graph has no x- or y-intercepts, type None. (a) Determine the domain: [Q15a](b) Determine the range: [Q15b](c) Vertical asymptote(s), if any: [Q15c](d) Find -intercept(s), use the point notation: [Q15d] (e) Find -intercept, use the point notation: [Q15e] Round to the nearest tenth.(f) Horizontal asymptote, if any: [Q15f](g) Determine the behavior of near the vertical asymptotes:As
Read DetailsNatural Products (Canvas Q12, Handwritten Pages Q12ab) Backg…
Natural Products (Canvas Q12, Handwritten Pages Q12ab) Background: Alkaloids are a type of compound produced by many organisms (known as a natural product). Many of these compounds are biologically active: some alkaloids can be used as stimulants, while others are highly toxic to living organisms. Question: While studying a newly discovered plant, a biochemist has managed to isolate a new alkaloid that shows promise as an antiviral drug. To characterize this new compound, the biologist wants to determine the molecular formula of this substance. Elemental analysis indicates that this compound contains only carbon (59.2%), hydrogen (6.2%), and nitrogen (34.5%). An accurate molar mass could not be measured, but the compound is estimated to have a molar mass close to 150 g/mol. What is the empirical formula of this compound? [emp] What is the molecular formula of this compound? [molec] (Enter your formula with C and H first, followed by the other elements in alphabetical order. The blanks will not allow you to enter subscripts; type them in as normal numbers. For example, water would be entered as just “H2O”. You should still be using proper subscripts on your work, though!) (Additional 10 points) On your Handwritten Pages, show all of your work for finding the empirical formula ( Q12a ) and the molecular formula ( Q12b ). Box your final answers.
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