WebAug 7, 2024 · The number of real roots of the equation e6x – e4x – 2e3x – 12e2x + ex + 1 = 0 is : (1) 2 (2) 4 (3) 6 (4) 1 jee jee main jee main 2024 Please log in or register to answer this question. 1 Answer +3 votes answered Aug 7, 2024 by KumarArun (14.8k points) Correct option (1) 2 e6x – e4x – 2e3x – 12e2x + ex + 1 = 0 ⇒ ⇒ No. of real roots = 2 Web1 Answer Sorted by: 3 Well, you haven't really made this as simple as possible. (Also, you've made an error, and your indices are not matching.) e x + 2 e − x = ∑ n = 0 ∞ 1 n! x n + 2 ∑ n = 0 ∞ 1 n! ( − x) n = ∑ n = 0 ∞ 1 n! x n + ∑ n = 0 ∞ 2 ( − 1) n n! x n = ∑ n = 0 ∞ 1 + 2 ( − 1) n n! x n = ∑ n = 0 ∞ a n x n, where
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Web100% (3 ratings) please feel …. View the full answer. Transcribed image text: Find the Maclaurin series for f (x), assuming that f (x) has a power series expansion. f (x) = cos (4x) WebJun 3, 2024 · Explanation: We know that eix = cosx + isinx (Euler) Similarly, e−ix = cos( − x) + isin( − x) But we know that cos( − x) = cosx and sin( −x) = −sinx. Then we have. eix = cosx + isinx. e−ix = cosx − isinx. Adding both identities. eix +e−ix = 2cosx and finally cosx = … convert oman driving license to uae
Solved Find the Taylor series centered at c = -1. f(x) = 6x - Chegg
Webtaylor series expansion of e^x. Natural Language; Math Input; Extended Keyboard Examples Upload Random. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, … WebExercises 3.2. Ex 3.2.1 Find the coefficient of x9 / 9! in the function of example 3.2.1. You may use Sage or a similar program. Ex 3.2.2 Find an exponential generating function for the number of permutations with repetition of length n of the set {a, b, c}, in which there are an odd number of a s, an even number of b s, and an even number of c s. WebDec 20, 2024 · 5.6: Integrals Involving Exponential and Logarithmic Functions. Exponential and logarithmic functions are used to model population growth, cell growth, and financial growth, as well as depreciation, radioactive decay, and resource consumption, to name only a few applications. In this section, we explore integration involving exponential … convert one bathroom into two