| № |
Condition |
free/or 0.5$ |
| m53624 | Each integral represents the volume of a solid. Describe the solid.
(a)
(b) |
buy |
| m53625 | Each limit represents the derivative of some function f at some number a. State such an f and in each case. |
buy |
| m53628 | Each of the regions A, B, and C bounded by the graph of f and the x-axis has area 3. Find the value of |
buy |
| m53629 | Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square increasing when the area of the square is 16 cm2? |
buy |
| m53648 | Establish the following rules for working with differentials (where denotes a constant and u and v are functions of x).
(a) dc = 0
(b) d(cu) = c du
(c) d(u +v) = du + dv
(d) d((uv) u dv + v du
(e) d(u/v) = v du- u dv/v2
(f) d(xn) = nxn-1 dx |
buy |
| m53651 | Estimate
Correct to five decimal places. |
buy |
| m53652 | Estimate the area under the graph in the figure by using
(a) The Trapezoidal Rule,
(b) The Midpoint Rule, and
(c) Simpson s Rule, each with |
buy |
| m53653 | Estimate the errors involved in Exercise 63, parts (a) and (b). How large should be in each case to guarantee an error of less than 0.00001? |
buy |
| m53654 | Estimate the horizontal asymptote of the function
by graphing f for - 10 ≤ x ≤ 10. Then calculate the equation of the asymptote by evaluating the limit. How do you explain the discrepancy? |
buy |
| m53655 | Estimate the intervals of concavity to one decimal place by using a computer algebra system to compute and graph f".
F(x) = x4 + x3 + 1 / √x2 + x + 1 |
buy |
| m53656 | Estimate the value of the number c such that the area under the curve y = sinh cx between x = 0 and x = 1 is equal to 1. |
buy |
| m53657 | Estimate
Using
(a) The Trapezoidal Rule and
(b) The Midpoint Rule, each with n = 4. From a graph of the integrand, decide whether your answers are underestimates or overestimates. What can you conclude about the true value of the integral? |
buy |
| m53658 | Euler also found the sum of the p-series with p = 4:
Use Euler s result to find the sum of the series.
(a)
(b) |
buy |
| m53659 | Evaluate √1 + tan x - √1 + sin x/x3. |
buy |
| m53660 | Evaluate ∫∞ -1 (x4 / 1 + x6) 2 dx. |
buy |
| m53661 | Evaluate ∫10 (2 √ 1 - x2 - 7 √ 1 - x3) dx. |
buy |
| m53662 | Evaluate 3√x - 1 / √x - 1. |
buy |
| m53663 | Evaluate |
buy |
| m53664 | Evaluate |
buy |
| m53665 | Evaluate
by interpreting it in terms of areas. |
buy |