1. Consider the periodic function f(x) that is defined over the interval (-x, 1) as f(-n < x < x) = (x + 2n), where f(x) repeats over the following intervals: ., (-37, –r), (–T, T), (T, 37), ... . (a) Sketch or do a computer plot of the function over the interval (-37, 3T). (b) Why does the Fourier series exist even though the function diverges at x = 0? (c) To what value does the Fourier series converge at x = tn, ±37, ...?

Q: is The range of the function f(x)%= 3cos(x)+5 Select one: O a. [-3,5] O b.[-1,1] C. d.

A: The range of the function is the set of all values that f(x) takes.

Q: Let f be a function defined on [15, 23]. Suppose for every x ≤ (15, 23) d da If f(16) = 44, find the…

A: We  know By definition of derivative  in interval a,b⇒f'x=limx→afx-fax-a

Q: Consider the function f(x) given by the equation. f(x) = 2023 + 2022 + 2023 2021 + 2022 2021 2020 +…

A: We have to find the equation of the line tangent to the graph of f(x) at the point with x-coordinate…

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A:

Q: Locate the position of any stationary points of the function f(z,y)-+zy+20y++102² (In your answer,…

A:

Q: Determine where the function f(x) = O A. (-∞, ∞) 1-00 O B. O C. O D. 3 3 3 (-∞0,²21) U ( 212,00) N/W…

A: we have to find out the values of x where function is continuous.

Q: | Find the minimum point for the function f(x) =1 + 12x – 4x (2,-7) (0, 1) Oa.9) (1, 9) O (-1, -7)

A:

Q: Let f(¹) = √2 +2. Since f(x) is differentiable on [-2, 7], by the Mean Value Theorem, we know there…

A: Mean value theorem (MVT) If  f(x) is a real valued function in the interval [a,b] which satisfies…

Q: Some mass of material is released at the point z = 0. At t> 0 the material density evolves according…

A:

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.