Rewrite this formula as an infinite series using 15) Rewrite f(x) = in the form x2...
Rewrite ½in(x) + In(x2 + 2x + 1) – 2In(x + 1) as a single logarithm in simplest form. Express all factors as exponents
Find the Maclaurin series for f(x) = -3cos(2x). Show your work using the formula for finding a Macluarin series. Write out at least 4 non-zero terms of the series.
Find the partial sums for each infinite series below: Infinite sometric Series 12 4 8 +1 +2 +4 + 8 + ... 16 s A series that approaches a certain sum is called a CONVERGENT SERIES A series that does not have a certain sum is called a DIVERGENT SERIES. then the series is then the series is nvergent Series Formula To find the sum of a convergent infinite geometric series, use the formula: Determine if the series is converent...
Using the Maclaurin series for f(x) = sin x, derive the Maclaurin series for g(x) = x sin 2x 1. Hint: It is not necessary to do any differentiation to do this problem. Using the Maclaurin series for f(x) = sin x, derive the Maclaurin series for g(x) = x sin 2x 1. Hint: It is not necessary to do any differentiation to do this problem.
1. Find f(x) f(x) = 27 {rewrite first-leave answer as a radical) 3 +1 2. Find f'() 2. Find f'(x) f(x) = x {rewrite first; 3. Find f(x) f(x) = 21n(1+3x2) + 3e(4433) 4. Find f'(x) for f(x) = x2\n(x3+1) {Note: uses product rule f'g+g'f} dir dx 2x+1 f'g-g'ſ 5. Find {Note: uses quotient rule }
a) Rewrite the expression in log form. 10* = 15 b) Rewrite in exponential form. In x = 8 I
Find a recurrence formula and the indicial equation for an infinite series solution around x = 0 for the differential equation 8x2y" + 10xy' + (x - 1)y = 0.
4. Express the quadratic form f(x. x3, xz) = x2 – 2x, x2 + 5x/X3 – x2 + 3x2x3 +3x3? In the form of xTAx. a) A is an upper triangular matrix. b) A is a symmetric matrix.
1 1. Find the exact sum of the following infinite series as indicated below: -1 1 1 1 1 + n(-4) 2(16) 3(64) 4(256) a. Let f(x) = 2n=1 (-1) x". I n a b. Find the power series for the derivative f'(x), and observe that it is a geometric series. Find its first term and common ratio. c. Use the formula 1-r to find an algebraic expression for f'(x). d. Integrate to find an algebraic expression for f(x). Make...
2x Find a power series for the function f(x) and its interval of convergence. - 3.x2 5x – 2