On the graph of f(x)=sinx and the interval [−2π,0), for what value of x does f(x)...

On the graph of f(x)=sinx and the interval [−2π,0), for what value of x does f(x) achieve a minimum?

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milcah answered 2 years ago

Consider the function on the interval (0, 2π). f(x) = sin(x) cos(x) + 2 (a) Find...

Consider the function on the interval (0, 2π). f(x) = sin(x) cos(x) + 2 (a) Find the open interval(s) on which the function is increasing or decreasing. (Enter your answers using interval notation.) increasing ( ) decreasing ( ) (b) Apply the First Derivative Test to identify all relative extrema. relative maxima (x, y) = (smaller x-value) (x, y) = ( ) (larger x-value) relative minima (x, y) = (smaller x-value) (x, y) = ...

Consider the function on the interval (0, 2π). f(x) = sin(x)/ 2 + (cos(x))^2 (a) Find...

Consider the function on the interval (0, 2π). f(x) = sin(x)/ 2 + (cos(x))^2 (a) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.) increasing decreasing (b) Apply the First Derivative Test to identify the relative extrema. relative maximum (x, y) = relative minimum (x, y) =

Let f be a differentiable function on the interval [0, 2π] with derivative f' . Show...

Let f be a differentiable function on the interval [0, 2π] with derivative f' . Show that there exists a point c ∈ (0, 2π) such that cos(c)f(c) + sin(c)f'(c) = 2 sin(c).

10. For what values of x in the interval [1, 4] does the graph of f(x)=−x^3+6x^2...

10. For what values of x in the interval [1, 4] does the graph of f(x)=−x^3+6x^2 −9x−1 satisfy Rolle’s Theorem? Include a sketch and a brief explanation of what’s going on in this problem. 11. Evaluate each limit. Provide a brief explanation of how you can apply the “top heavy, bottom heavy, it’s a tie” strategy. lim x→∞ 1 / (2x+sinx) 12) Draw a diagram and solve: What is the exact area of the biggest isosceles triangle you can inscribe ...

f(x)=0 if x≤0, f(x)=x^a if x>0 For what a is f continuous at x = 0...

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Expand in Fourier series: f(x) = x|x|, -L<x<L, L>0 f(x) = cosx(sinx)^2 , -pi<x<pi f(x) =...

Expand in Fourier series: f(x) = x|x|, -L<x<L, L>0 f(x) = cosx(sinx)^2 , -pi<x<pi f(x) = (sinx)^3, -pi<x<pi

Find the second-degree Taylor polynomial of f(x)=ln(1+sinx) centered at x=0.

Let f (t) = { 7 0 ≤ t ≤ 2π cos(5t) 2π < t ≤ ...

Let f (t) = { 7 0 ≤ t ≤ 2π cos(5t) 2π < t ≤ 4π e3(t−4π) t > 4π (a) f (t) can be written in the form g1(t) + g2(t)U(t − 2π) + g3(t)U(t − 4π) where U(t) is the Heaviside function. Enter the functions g1(t), g2(t), and g3(t), into the answer box below (in that order), separated with commas. (b) Compute the Laplace transform of f (t).

find the taylor polynomial T5 of f(x) = e^x sinx with the center c=0 hint: e^x...

find the taylor polynomial T5 of f(x) = e^x sinx with the center c=0 hint: e^x = 1 + x + x^2/2! + x^3/3! + ..., sinx=x - x^3/3! + x^5/5! -...

1. Find the average value of the function f(x)= 1/ (x^2-9) on the interval from 0...

1. Find the average value of the function f(x)= 1/ (x^2-9) on the interval from 0 ≤ x ≤ 1 2. Find the arc-length of the function f(x)= x^2 from 0 ≤ x ≤ 2

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