Questions from General Calculus

Q: Express the given quantity as a single logarithm. 1/

Express the given quantity as a single logarithm. 1/3 ln(x + 2)3 + ½[ ln x – ln (x2 +3x + 2)2]

Q: Use Formula 10 to evaluate each logarithm correct to six decimal places

Use Formula 10 to evaluate each logarithm correct to six decimal places. a. log510 b. log357

Q: Use Formula 10 to graph the given functions on a common screen

Use Formula 10 to graph the given functions on a common screen. How are these graphs related? y = log1.5x, y = ln x, y = log10x, y = log50x

Q: Use Formula 10 to graph the given functions on a common screen

Use Formula 10 to graph the given functions on a common screen. How are these graphs related? y = ln x, y = log10x, y = ex, y = 10x

Q: Suppose that the graph of y = log2x is drawn on a

Suppose that the graph of y = log2x is drawn on a coordinate grid where the unit of measurement is an inch. How many miles to the right of the origin do we have to move before the height of the curve...

Q: Compare the functions f(x) = x0.1 and

Compare the functions f(x) = x0.1 and g(x) = ln x by graphing both f and g in several viewing rectangles. When does the graph off finally surpass the graph of g?

Q: Make a rough sketch of the graph of each function. Do

Make a rough sketch of the graph of each function. Do not use a calculator. Just use the graphs given in Figures 12 and 13 and, if necessary, the transformations of Section 1.3. a. y = log10(x + 5)...

Q: A spherical balloon with radius r inches has volume V(r

A spherical balloon with radius r inches has volume V(r) = 4/3πr3. Find a function that represents the amount of air required to inflate the balloon from a radius of r inches to a radius of r + 1 inc...

Q: Make a rough sketch of the graph of each function. Do

Make a rough sketch of the graph of each function. Do not use a calculator. Just use the graphs given in Figures 12 and 13 and, if necessary, the transformations of Section 1.3. a. y = ln (-x) b. y...

Q: a. What are the domain and range off? b

a. What are the domain and range off? b. What is the x-intercept of the graph off? c. Sketch the graph off. f(x) = ln x + 2