Question (1 point) Let P(t) be the performance level of someone learning a skill as a function of the training time t. The derivative dPdt represents the rate at which performance improves. If M is the maximum level of performance of which the learner is capable, then a model for learning is given by the differential equation dPdt=k(M−P(t)) where k is a positive

Set up the integral in polar coordinates to find the mass of the lamina bounded by the y-axis, y =x, and the circle x +(y-1) =1 in the first quadrant, where the density of the lamina is p(x, y)=xy kg/m. (Hint, the region is inside the circle and above the line y=x)

autosave#question49050485 -2 -1 1 Answer each of the following questions about Fx). You have one submission for each question (a) Does lim fx) exist? X3 Ores ONO (b) Is Fx) continuous at x = 3? Oyes ONO (C) is f(x) differentiable at x = 32 OYes ONO (d) Does lim fex) exist? Oves ONO (e) is f*) continuous at x = 12 Yes ONO () is fx) differentiable at x = 17 Answer each of the following questions about f(x). You have one submission for each question (a) Does lim F*) exist? x-1 Ores ONO (b) is Fx) continuous at x = 12 Ores ONO (C) IS F(x) differentiable at x = 12 OYes No (d) Does lim, x) exist? Yes ONO (e) is x) continuous at x = 27 The graph of y = f(x) is shown below. dep=27270333&tags-autosave question4905048_5 Answer each of the following questions about Rx). You have one submission for each question (a) Does lim Fix) exist? Yes No -0 (b) is x) continuous at x = 0? OYes No (c) Is f(x) differentiable at x = 07 OYes No 3 2 -2 -1 1 2 3 Answer each of the following questions about Fx). You have one submission for each question. (a) Does lim F(x) exist? Yes No (b) Does lim Fx) exist? x-1" Ores ONO (c) Does lim fx) exist? Ores ONO (d) Is x) continuous at x = 12 Yes No

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)