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Solving a differential equation with trigonometric functions
How could I approach
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What is the volume of this cone?Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
A function f is define f(x)=-x^2+x+2
(a) express f in standard form
(b) sketch the graph of f
(c) find the maximum value of f
Let A and B represent two linear inequalities: A : a 1 x 1 + . . . + a n x n ≥ k 1 B : b 1 x 1 + . . . + b n x n ≥ k 2 If A and B is unsatisfiable (does not have solution), does the following hold in general (the conjunction of two inequalities implies the summation of them )? If so, I am looking for a formal proof? A ∧ B ⟹ A + B 𝑎 1 𝑥 1 + . . . + 𝑎 n 𝑥 n ≥ 𝑘 1 ∧ 𝑏 1 𝑥 1 + . . . 𝑏 n 𝑥 n ≥ 𝑘 2 ⟹ 𝑎 1 𝑥 1 + . . . + 𝑎 n 𝑥 n + 𝑏 1 𝑥 1 + . . . 𝑏 n 𝑥 n ≥ 𝑘 1 + 𝑘 2 and then I would like to generalize the above theorem to summation of several inequalities.
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Determine which of the following must change when a sound gets louder. a. amplitude b. frequency c. wavelength d. intensity e. speed of the sound waves
Discrete Math: Induction and RecurrenceShow that the terms of the sequence that satisfy a n = 3 a n − 1 − 2 and a 1 = 4 are given by the formula a n = 3 n + 1 for all n ≥ 1.I know this problem has to do with induction. In this case I think n = n + 1 so I would have 3 n + 1 but i'm not sure what to do with the rest of the problem. Can someone help please?
The first term in a certain geometric sequence is x and the fourth term in the sequence is 27x, where x is a nonzero number. Which of the following represents the tenth term?
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