show works please Q2 10 Points The rate, r, at which people get sick during an...
Question 3 The rate R at which people get sick during a pandemic can be approximated by R = k(t) = 100te-0.652 where Ris measured in thousand people per month and t is time measured in months since the start of the pandemic with + € (0,10). Given that 100te-0.657 dt 1000e -0,6512 + C and (100te-0.651) = -0.657 (100 - 13012) 13 3.1 How many people get sick during the first three months?
show works please Q1 Improper Integrals 10 Points Evaluate the following integrals and determine if they converge. If they converge, find the value of the integral. Show all of your work. Q1.1 5 Points et L dx 2 + ex Upload your file showing your work. Please select file(s) Select file(s) Q1.2 5 Points 28 da 3/(x – 8)2 Upload your file showing your work.
show works please Q71 5 Points A population is modeled by dP Р = 9P1 dt 2500 (a) For what values of P is the population increasing? (b) For what values of P is the population decreasing? (c) What are the equilibrium solutions? Upload your file showing your work. Please select file(s) Select file(s) Q7.2 5 Points Solve the differential equation and show your work. dz + 7e2z+t = 0 dt
Help me solve this. Q2 UPLOAD QUESTION 2 Points A circular region has a density of S(r) = = 1+r3 cm, where r is the distance from the center of the circle. If the radius of the entire circle is 20 centimeters, determine the mass of the shape. Show all work in evaluating your integral. Please select file(s) Select file(s)
show works please Q6 10 Points The region R is bounded by y = x3, x = 3 and y = -8. Find the area of the region R. Show all of your work and include a sketch of the region.
show works please Q9 10 Points Let R be the region bounded by the curve y = x2 + 1 and the lines x = 0, x = 1, and y = 1. (a) Set up, but do not evaluate, the volume of the solid obtained by rotating R about the x-axis. Show your work. (b) Set up, but do not evaluate, the volume of the solid obtained by rotating R about the line 2 1. Show your work. =
Q2 15 Points Let A € Mnxn(R). Define trace(A) = {1-1 Qiji (i. e. the sum of the diagonal entries) and tr : Mnxn(R) +R, A H trace(A). Q2.1 2 Points Show that U = {A € Mnxn(R): trace(A) = 0} is a subspace of Mnxn (R). Please select file(s) Select file(s) Q2.2 4 Points Compute dim(im(tr)) Enter your answer here and dim(ker(tt) Enter your answer here each (1pt) Justify your answer. (2pt) Enter your answer here Q2.3 5 Points...
Q2 (Show your work!) 16 Points Determine whether each of the given series is absolutely convergent, conditionally convergent or divergent. Q2.1 8 Points I am, where an = (+3)x=1 n=1 Please select file(s) Select file(s) Save Answer Q2.2 8 Points Q 3n2 - n +1 5n5 +n + 2 n=1 Please select file(s) Select file(s) Save Answer
Q2 15 Points Let n E N and A € Mnxn(R). Define trace(A) = 21=1 Qişi (i. e. the sum of the diagonal entries) and tr : Mnxn(R) +R, A H trace(A). Q2.3 5 Points Find a basis for ker(tr) and verify that it is in fact a basis. Please select file(s) Select file(s) Save Answer Q2.4 3 Points Show that for any A € Mnxn(R) there is B e ker(tr) and a € R such that A = B+a....
show works please Q4 10 Points In a Set up, but do NOT solve, the integral that will give the exact length of the curve x2 y from x = 1 to x = 2. Show all 2 4 your work.