Sketch the functions shown below for the intervals indicated. Make sure values for maximums and minimums...
Finding Absolute Maximums and Absolute Minimums. We are guided here by two theorems about extreme values of functions Theorem 1: Iff(x) is continuous on a closed interval [a, b], then f(x) has both an absolute minimum value, m, and an absolute maximum value, M. This means there are some numbers c and d with m = f(c) and M = f(d) and m s f(x) s M for each x in [a, b]. The theorem does not tell us where...
need help with these.please.
I-8 Let f(2) Find the open intervals on which fis increasing (decreasing). Then determine the x-coordinates of +8 all relative maxima (minima). 1. f is increasing on the intervals 2. fis decreasing on the intervals 3. The relative maxima of f occur at - 4. The relative minima off occur at 2 - Notes: In the first two your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such...
3. Find the indicated derivatives of the following functions without inte- grating. Make sure to fully justify your work! () ) (a) Let c E R da cos dt er+1 d tan(t) df (b) dr arctan(r) rt (c) H(r) 1+2+ dt; H"()
3. Find the indicated derivatives of the following functions without inte- grating. Make sure to fully justify your work! () ) (a) Let c E R da cos dt er+1 d tan(t) df (b) dr arctan(r) rt (c)...
1) Sketch the graph of each of the following exponential functions. Make sure you label at least three points on the graph or include a t-chart with the coordinates. a. S(x)=3 b. y=213 c. g(x)= (3) 3 d. y e. f(x) = "+1
1. Evaluate and sketch the convolution integral (the output y(t)) for a system with input x(t) and impulse response h(t), where x(t) = u(1-2) and h(t)= "u(t) u(t) is the unit step function. Please show clearly all the necessary steps of convolution. Determine the values of the output y(t) at 1 = 0,1 = 3,1 = 00. (3 pts)
Show the steps and find the solution clearly. Please identify
the correct answers make it in the box
A system consists of three systems as follows: System (1) has an impulse response of e~3'u(t); System (2) has a step response of te^u(t); System (3) has an output of 2te-2tu(t) to an input of 8(t) Find the output of the overall system xo (t) when the system has an input of Xi(t) = e-tu(t) h2(t) hi(t) ro h3(t)
Calculate the Y values corresponding to the X values given below. Find the critical values for X for the given polynomial by finding the X values among those given where the first derivative, dv/dx- 0 and/orn X values where the second derivative, d-y/dx2-0. Be sure to find the sign (+ or-) of dv/dx and of d'y/dx2 at all X values. Using the first and second derivative tests with the information you have calculated, determine which X value(s) represent maximums (MAX),...
Refer to functions s and t. Find the indicated function and write the domain in interval notation. x-3 x-1 x2 - 9 Part: 0/2 Part 1 of 2
Calculate the Y values corresponding to the X values given below. Find the critical values for X for the given polynomial by finding the X values among those given where the first derivative, dv/dx- 0 and/orn X values where the second derivative, d-y/dx2-0. Be sure to find the sign (+ or-) of dv/dx and of d'y/dx2 at all X values. Using the first and second derivative tests with the information you have calculated, determine which X value(s) represent maximums (MAX),...
1. In each of the following piece-wise functions: (i) Sketch the graph of the given function, (ii) Express f(t) in terms of the unit step function uc(t) = u(t -c) where 0 u(t) = t<0 t> 0 and (iii) find the Laplace transform of f(t). (a) $(t) = { 2=(1-2), 0<t<2 t> 2 (b) f(t) = t, 2, 7-t, 0, 0<t <2 2 <t<5 5<t<7 t> 7