Questions from General Calculus

Q: Find the horizontal and vertical asymptotes of each curve. If you

Find the horizontal and vertical asymptotes of each curve. If you have a graphing device, check your work by graphing the curve and estimating the asymptotes. y = 2x2 + 1/3x2 + 2x - 1

Q: a. By graphing the function f(x) = (

a. By graphing the function f(x) = (cos 2x - cos x)/x2 and zooming in toward the point where the graph crosses the y-axis, estimate the value of limx→0 f(x). b. Check your answer in part (a) by evalu...

Q: Find the horizontal and vertical asymptotes of each curve. If you

Find the horizontal and vertical asymptotes of each curve. If you have a graphing device, check your work by graphing the curve and estimating the asymptotes. y = 2x2 + x – 1/x2 + x - 2

Q: Find the horizontal and vertical asymptotes of each curve. If you

Find the horizontal and vertical asymptotes of each curve. If you have a graphing device, check your work by graphing the curve and estimating the asymptotes. y = 1 + x4/x2 - x4

Q: Find the horizontal and vertical asymptotes of each curve. If you

Find the horizontal and vertical asymptotes of each curve. If you have a graphing device, check your work by graphing the curve and estimating the asymptotes. y = x3 – x/x2 - 6x + 5

Q: Find the horizontal and vertical asymptotes of each curve. If you

Find the horizontal and vertical asymptotes of each curve. If you have a graphing device, check your work by graphing the curve and estimating the asymptotes. y = 2ex/ ex - 5

Q: Estimate the horizontal asymptote of the function f(x)

Estimate the horizontal asymptote of the function f(x) = 3x3 + 500x2/x3 + 500x2 + 100x + 2000 by graphing f for -10 ≤ x ≤ 10. Then calculate the equation of the asymptote by evaluating the limit. How...

Q: a. Graph the function f(x) = 2x2

a. Graph the function f(x) = 2x2 + 1 /3x - 5 How many horizontal and vertical asymptotes do you observe? Use the graph to estimate the values of the limits b. By calculating values of f(x), give...

Q: Let P and Q be polynomials. Find /

Let P and Q be polynomials. Find if the degree of P is (a) less than the degree of Q and (b) greater than the degree of Q.

Q: Make a rough sketch of the curve y = xn (n

Make a rough sketch of the curve y = xn (n an integer) for the following five cases: i. n = 0 ii. n > 0, n odd iii. n > 0, n even iv. n v. n Then use these sketches to find the following lim...