10. Find the value of Sizl=1062-ajadz for all values of|al # 10. Explain 21 11. Use...
5. (a) Find all complex z satisfying 24 + 16 = 0. (b) Find the inverse Laplace transform of F(s) = 116 using the inversion formula 8(e) = 221 /** *F(2)dz 2ni Jo-100 and the Cauchy residue theorem. Indicate for which values of o the above is valid. Describe clearly the contour you are using.
Let A e Cpxp,A e C, and let 11-11 a multiplicative norm on Cpxp. Use Theorem 7.27 of your lecture notes to show that if Al > ll All , then 1. XIp A is invertible and Ip Theorem 7.27. If Il is a sub-multiplicative norm on C, then pl 1. Moreover, i X E CPXP and |X|l < 1, then 1. Ip X is invertible. 2. (1,-X)-1-).X' ; i.e., the sum converges j-0 SI
Let A e Cpxp,A e...
11 3 -21 10. Use properties of determinants to find the value of the determinant 6 1 -5 18 2 3
Question Use cylindrical coordinates to set up the triple integral needed to find the volume of the solid bounded above by the xy-plane, below by the cone z = x2 + y2 , and on the sides by the cylinder x2 + y2 = 4. a) 06.* %* ["dz dr do b) $* * S*rde de do JO 0% ] raz dr do a) $** [Lºdz dr do 0906.*|*Lºrdz dr do 2 po dz dr do Jo J- O J-...
Please do 10 & 11
Use Intermediate Value Theorem lial p(x) = x4 +7x = 9 has two real root. 8. df Open with Google Docs Then use your calculator to find the ro 9 Let f(z)2with € [0, 00). Find a positive mumber e and two sequences {xn} and {yn} such that lim-(nn) = 0 but |f(xn)- f(Yn)| 2 e. Then conclude that f(x) = x2 is not uniformly continuous on [0, ao) [0, oo). Show that f is...
Find all the values of x* in the interval [ - 5,0] that satisfy the equation Sx)dx = f(x*)(-a) a in the Mean-Value Theorem for Integrals, if f(x) = x2 + x. Enter your answers, rounded to two decimal places, in increasing order. If there are less than two values, enter any values first and then enter NA in the remaining answer area(s). Show Work is REQUIRED for this question: Open Show Work
11) (10 points) Use the Pythagorean Theorem to find the length of the missing side of the right triangle. Then find the value of each of the six trigonometric functions of 0
This problem is concerned with evaluating some improper integrals. In particular you will use an improper integral over an interval of infinite length to evaluate an integral of a function not defined at one end point. This will involve a special function「which arises in many applications in the sciences. a. Evaluate Jo (log z) dr. b. Explain how you would evaluate Jr*(log x)7 dr, but do not actually compute it. Would your method work if the exponent'8, were replaced by...
Please show all your work, write equations clearly, plug in
values properly, and comment on all steps.
The one-way commuting times from home to work for all employees working at a large company have a mean of 37 minutes and a standard deviation of 8 minutes a. Using Chebyshev's theorem, find the minimum percentage of employees at this company who have one-way commuting times in the interval 17 to 57 minutes b. Using Chebyshev's theorem, find the interval that contains...
linear algebra
Chapter 2, Section 2.1, Question 16 Find all values of for which det(A) = 0, using the method of this section. A= -50 0 0 3 0 4 A-1 11 = 12 = 13 = Fill the upper blank with the greater value of if it exists. Fill the blank with the symbol "x" if there is no corresponding 1. Click if you would like to show Work for this question: Open Show Work