Chapter 2.4, Problem 2ES

eliminate the parameter to find the cartesian equation of the curve and sketch the graph. On the graph show the direction it takes and the initial and terminal point. Please draw by hand and show how you got to each step

The diagram below models the layout at a carnival where G, R, P, C, B, and E are various locations on the grounds. GRPC is a parallelogram.   Part A: Identify a pair of similar triangles. Part B: Explain how you know the triangles from Part A are similar. Part C: Find the distance from B to E and from P to E. Show your work.

eliminate the parameter to find the cartesian equation of the curve and sketch the graph. On the graph show the direction it takes and the initial and terminal point. Please draw by hand and show how you got to each step

Q2*) Consider the extremisation of the integral I[y] = √²² F(x,y,y', y") dx x1 when y and y' are prescribed only at x = x1. Derive the so-called 'natural boundary conditions' that must be satisfied at x = x2. Taking a specific example: The functional I [y] is defined by I[y] = √² ((y″)² + y) dx with y(0) = 0 and y'(0) = 0. Write down the fourth-order Euler-Lagrange equation for this problem, stating the four boundary conditions. Find the general solution of the Euler-Lagrange equation, and then impose the boundary conditions to find the extremal.

The basketball team at Bakersfield High School recorded their wins and losses of the season. The table given shows the data collected, in which the relationship between wins and losses is sorted by number of points scored.   ≥ 100 points < 100 points Total Win 48   90 Loss 6     Total     100 Does the data give evidence of an association between scoring at least 100 points during the game and the basketball team winning?    There is a weak, negative association. There is a weak, positive association. There is a strong, positive association. There is a strong, negative association.

Crumbs Cookies was interested in seeing if there was an association between cookie flavor and whether or not there was frosting. Given are the results of the last week's orders.   Frosting No Frosting Total Sugar Cookie 50     Red Velvet   66 136 Chocolate Chip   58   Total 220   400 Which category has the greatest joint frequency?    Chocolate chip cookies with frosting  Sugar cookies with no frosting  Chocolate chip cookies  Cookies with frosting

Graphically, explain the various forms of linear functions

The table given shows the length, in feet, of dolphins at an aquarium. 7 15 10 18 18 15 9 22 Are there any outliers in the data?    There is an outlier at 22 feet. There is an outlier at 7 feet. There are outliers at 7 and 22 feet. There are no outliers.

Name: Mussels & bem A section of a river currently has a population of 20 zebra mussels. The population of zebra mussels increases 60 % each month. What will be the population of zebra mussels after 2 years? 9 10 # of months # of mussels 1 2 3 4 5 6 7 8 o Graph your data. Remember to title your graph. What scale should be used on the y-axis? What scale should be used on the x-axis? Exponential Growth Equation y = a(1+r)*