A student in a noon calculus class is watching two bugs near the center of a...

A student in a noon calculus class is watching two bugs near the center of a wall. One is an ant and the other is a beetle. At noon, the ant is 180 cm directly to the left of the beetle. The ant is crawling right at 30 cm/h and the beetle is crawling up at 45 cm/h. How fast is the distance between the bugs changing at 2:00 PM? Answer with an exact value. cm/h?

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milcah answered 2 years ago

Differential Calculus - [Related Rates] — At Noon, ship A is 200 km east of ship...

Differential Calculus - [Related Rates] — At Noon, ship A is 200 km east of ship B and ship A is sailing north at 30 km/h. ten mins later, ship B starts to sail south at 35 km/h. a) What is the distance between the two ships at 3pm? b) How fast (in km/h) are the ships moving apart at 3pm? — Source Material: Stewart, J. (2016). Single variable calculus: early transcendentals. [Chapter 3.9]

Twenty calculus students are comparing grades on their first two quizzes of the year. The class...

Twenty calculus students are comparing grades on their first two quizzes of the year. The class discovers that every pair of students received the same grade on at least one of the two quizzes. Prove that the entire class received the same grade on at least one of the two quizzes.

Near the equator, the Sun is approximately straight overhead at noon, and around 1000 W/m2 solar...

Near the equator, the Sun is approximately straight overhead at noon, and around 1000 W/m2 solar irradiance reaches Earth. Around this time of day, assuming ambient temperature of 40C, and a 10m x 10m x 2m-tall greenhouse with ¼”-thick glass walls that reflect away 20% of the incoming sunlight, and only thinking of conductive losses, estimate the maximum temperature reached in the interior of the greenhouse. Hint: when are losses and sources balanced? glass conductivity is 1.05 W/(m k)

A student desires to know if two-bedroom apartments for rent near the BRCC campus in Baton...

A student desires to know if two-bedroom apartments for rent near the BRCC campus in Baton Rouge are significantly different, on average, than one-bedroom apartments for rent near the BRCC campus in Baton Rouge. The student collects data for a random sample of ten (10) advertisements for each of one-bedroom and two-bedroom apartments for rent near the BRCC campus in Baton Rouge. The data below shows the advertised rents (in dollars per month) for the selected apartments. 1 Bedroom 550...

***Given a class called Student and a class called Course that contains an ArrayList of Student....

***Given a class called Student and a class called Course that contains an ArrayList of Student. Write a method called dropStudent() as described below. Refer to Student.java below to learn what methods are available.*** Course.java import java.util.*; import java.io.*; /****************************************************** * A list of students in a course *****************************************************/ public class Course{ /** collection of Students */ private ArrayList<Student> roster; /***************************************************** Constructor for objects of class Course *****************************************************/ public Course(){ roster = new ArrayList<Student>(); } /***************************************************** Remove student with the...

This quiz uses the three classes below. Watch out for bugs! public class Trapezoid { private...

This quiz uses the three classes below. Watch out for bugs! public class Trapezoid { private double height, width, base; public Trapezoid(double h, double w, double b) { setHeight(h); setWidth(w); setBase(b); } public double getHeight() { return height; } public double getWidth() { return width; } public double getBase() { return base; } public void setHeight(double h) { height = h; } public void setWidth(double w) { width = w; } public void setBase(double b) { base = b; }...

Write a poem related to Calculus 2 content that students cover in that class!

There are two routes to get from the student dorms to class - a long route,...

There are two routes to get from the student dorms to class - a long route, which is scenic, and a short route, which is not scenic. You want to study whether the route that the students choose to take is independent of the weather (in the context of the table, this will mean whether X and Y are independent), and you generate the accompanying table of probabilities. Rainy (Y=0) Sunny (Y =1) Total Long (X=0) 0.1 0.3 0.4 Short...

There are three ways a student can end up in Calculus II at Augusta University. They...

There are three ways a student can end up in Calculus II at Augusta University. They can either take Calculus I or place into the class via AP credit. Further, some students take Calculus I the semester immediately before Calculus II but some students wait one or more semesters between taking Calc I and Calc II. A professor has a Calculus II class with 21 students, and they look at students’ final grades and how they got into the class....

Let X be the exam grade of a student taking Calculus 1 with Professor Smith. The...

Let X be the exam grade of a student taking Calculus 1 with Professor Smith. The professor believes that X has a mean of 76 and a standard deviation of 12.5. Suppose there are 100 students in Professor Smith's class. Approximate the probability that X is between 73.8 and 77.8.

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