Question Consider the function F(s)=s+8s3−3s2+3s−1F(s)=s+8s3−3s2+3s−1. Find the partial fraction decomposition of F(s)F(s): s+8s3−3s2+3s−1=s+8s3−3s2+3s−1= + Find the inverse Laplace transform of F(s)F(s). f(t)=L−1{F(s)}=f(t)=L−1{F(s)}= s+8 83 3s² + 3s - 1 a. Find the partial fraction decomposition of F(s): s+8 83 3s² + 3s-1 b. Find the inverse Laplace transform of F(s). f(t) = L¹ {F(s)} = (1 point) Consider the function F(s) = - help (formulas)

What is the greatest number of positive consecutive numbers that sum to 400? My approach: We have terms from : $(x-n)..... x.....(x+n)$ This would mean the sum of these terms is $(2n+1) * 2x * 1/2 = x(2n+1) = 400$ $2n+1$ MUST be an odd number, so $x$ is even $400 = 20^2 = 2^4 * 5^2$ The odd multiple is either $5$ , with $x$ being 80, or we have $25*16$ &25*16& would have more terms. Since x is 16, we know we have the range (x-12) = 4 to (x+12) = 28 Therefore, we have 25 terms as the maximum. The correct answer is 27, and I don't know how to get that. I considered the possibility of an even amount of terms , but 27 isn't even so that wouldn't matter. Where did I go wrong / Is the real answer wrong? PROOF THIS IS NOT AN ONGOING TEST: I have the real answer. 19 integers 27 integers

Use a triple integral to find the volume of the tetrahedron T bounded by the planes x + 2y + z = 2, x = 2y, x = 0 and z = 0.

Problem 1: Logistic Regression Basics - Odds and Ends a) What is the equivalent odds for the probability 0.25? b) You are testing a new drug and have gathered binary data on whether the drug performed its desired effects. From the control trial, 102 people saw improvement with a placebo and 241 did not. With the drug, 67 people saw improvement and 82 did not. What is the odds ratio of these results? c) You've decided to determine the probability of a picture containing an animal on social media. On 6 different days, you look at 10 random pictures and record the number of pictures that contain at least one animal, and get the values {6,10,7,9,5,9}. Given these results, what is the MLE for the probability of a picture containing an animal?

630t + 1 The sales of a math performance enhancing drug are given by S(t) = where t is in years and S(t) is in millions of dollars. What is the rate of change of sales in millions of dollars per year when t = 0? t2 + 9 S'(0) = x millions of dollars per year.

Find a vector a with representation given bythe directed line segment AB. DrawAB and the equivalent representationstarting at the origin.a) A(-2,-2), B(5,3)b) A(4,0,-2), B(4,2,1)

14.1 Match the terms in the left column with their definitions from the right column: 1. Bill of materials a. A factor that causes costs to change 2. Operations list b. A measure of the number of good units produced in a period of time c. A list of the raw materials used to create a finished product 3. Master production schedule 4. Lean manufacturing d. A document used to authorize removal of raw materials from inventory 5. Production order e. A cost accounting method that assigns costs to products based on specific processes performed 6. Materials requisition f. A cost accounting method that assigns costs to specific batches or production runs and is used when the product or service consists of uniquely identifiable items 7. Move ticket g. A cost accounting method that assigns costs to each step or work center and then calculates the average cost for all products that passed through that step or work center 8. Job-time ticket h. A document that records labor costs associated with manufacturing a product 9. Job-order costing i. A document that tracks transfer of inventory from one work center to another 10. Cost driver j. A document that authorizes manufacture of a finished good 11. Throughput k. A document that lists the steps required to manufacture a finished good 1. A document that specifies how much of a finished good is to be produced during a specific time period 12. Computer-integrated manufacturing m. A production planning technique that is an extension of the just-in-time inventory control method n. A production planning technique that is an extension of the materials requirement planning inventory control method o. A term used to refer to the use of robots and other IT techniques as part of the production process