Calculus 1
The lengths of the sides of an equilateral triangle are increasing at a rate of 2m/s. Find the rate at which the area of the triangle is changing when the sides have a length of 4 m.
Homework Answers
Two sides of a triangle are 8 m and 9 m in length and the angle...
Two sides of a triangle are 8 m and 9 m in length and the angle between them is increasing at a rate of 0.05 rad/s. Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed length is 7/3. Show your work in the PDF version of the test.
Two sides of a triangle are 8 m and 9 m in length and the angle...
Two sides of a triangle are 8 m and 9 m in length and the angle between them is increasing at a rate of 0.05 rad/s. Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed length is 7/3. Show your work in the PDF version of the test.
Problem a (PA4a.java) Write a program to evaluate the area of a triangle given the lengths...
Problem a (PA4a.java) Write a program to evaluate the area of a triangle given the lengths of its sides using Heron's Formula. Here is an outline: Get the three side lengths from the user (which might have decimal values): a, b, c. Check to ensure that the sides are valid for a triangle. Importantly, the sum of the lengths of any two sides must be larger than the length of the third side (you must check all three sides this...
3.11.13-Setup & Solve The legs of an isosceles right triangle increase in length at a rate...
3.11.13-Setup & Solve The legs of an isosceles right triangle increase in length at a rate of 6 m/s. a. At what rate is the area of the triangle changing when the legs are 5 m long? b. At what rate is the area of the triangle changing when the hypotenuse is 6 m long? c. At what rate is the length of the hypotenuse changing? a. Write an equation relating the area of an isosceles right triangle, A, and...
***IN PYTHON: Scalene triangle: All sides have different lengths Isosceles triangle: Two sides have the same...
***IN PYTHON: Scalene triangle: All sides have different lengths Isosceles triangle: Two sides have the same length Equilateral triangle: All sides are equal Write a program to ask for the length of 3 sides a, b and c. Ask for three sides at a time Determine the type of triangle given three sides Handle all kinds of errors - 1. not integers, int() conversion fails 2. not enough args, 3. too many arguments HINT: use the len() function to check...
Very Simple Change of Rates Problem?!?! Please Help!!?
The included angle of the two sides of constant equal length s of an isosceles triangle is θ.A=(1/2)*(s^2)*sinθIf θ is increasing at the rate of (1/8) radian per minute, find the rate of change of the area when θ = pi/3.Thank you, your help is really appreciated! :)
Using python 3.x to solve this problem. Equilateral Triangle Class EqTri Write a class that has...
Using python 3.x to solve this problem.
Equilateral Triangle Class EqTri Write a class that has several functions related to an Equilateral length : float Triangle. The constructor shouldgetArea): float accept a one parameter for the +getPerimeter): float length (which is the same for all 3+float-0 : float sides in an equilateral triangle) + _str) string -str--() method should return a string such as "Rectangle (Area:50)" float) method should return the area (Same functionality as getArea) Math (area- length?, perim/circum...
(1 point) Let @ (in radians) be an acute angle in a right triangle and let...
(1 point) Let @ (in radians) be an acute angle in a right triangle and let x and y, respectively, be the lengths of the sides adjacent to and opposite e. Suppose also that x and y vary with time. At a certain instant x = 8 units and is increasing at 4 unit/s, while y = 5 and is decreasing at į units/s. How fast is a changing at that instant? Answer:
(JAVA) Implement a Triangle class. Any triangle can be represented by its THREE sides. Therefore,...
(JAVA) Implement a Triangle class. Any triangle can be represented by its THREE sides. Therefore, your class will have THREE private member variables → side1, side2 and side3. Use the double data type to represent the triangle sides. In addition, please provide public methods that perform the following FIVE tasks: ▪ An input method that obtains the appropriate values for the three sides from the user. While entering the values of the three sides, please remember the triangle property that...
Assume that the user enters the lengths: a, b, of three sides of a triangle. Prepare...
Assume that the user enters the lengths: a, b, of three sides of a triangle. Prepare an algorithm and a flowchart to find if the triangle is isosceles, equilateral, or scalene.
Two sides of a triangle are 8 m and 9 m in length and the angle between them is increasing at a rate of 0.05 rad/s. Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed length is 7/3. Show your work in the PDF version of the test.
Two sides of a triangle are 8 m and 9 m in length and the angle between them is increasing at a rate of 0.05 rad/s. Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed length is 7/3. Show your work in the PDF version of the test.
Problem a (PA4a.java) Write a program to evaluate the area of a triangle given the lengths of its sides using Heron's Formula. Here is an outline: Get the three side lengths from the user (which might have decimal values): a, b, c. Check to ensure that the sides are valid for a triangle. Importantly, the sum of the lengths of any two sides must be larger than the length of the third side (you must check all three sides this...
3.11.13-Setup & Solve The legs of an isosceles right triangle increase in length at a rate of 6 m/s. a. At what rate is the area of the triangle changing when the legs are 5 m long? b. At what rate is the area of the triangle changing when the hypotenuse is 6 m long? c. At what rate is the length of the hypotenuse changing? a. Write an equation relating the area of an isosceles right triangle, A, and...
Using python 3.x to solve this problem.
Equilateral Triangle Class EqTri Write a class that has several functions related to an Equilateral length : float Triangle. The constructor shouldgetArea): float accept a one parameter for the +getPerimeter): float length (which is the same for all 3+float-0 : float sides in an equilateral triangle) + _str) string -str--() method should return a string such as "Rectangle (Area:50)" float) method should return the area (Same functionality as getArea) Math (area- length?, perim/circum...
(1 point) Let @ (in radians) be an acute angle in a right triangle and let x and y, respectively, be the lengths of the sides adjacent to and opposite e. Suppose also that x and y vary with time. At a certain instant x = 8 units and is increasing at 4 unit/s, while y = 5 and is decreasing at į units/s. How fast is a changing at that instant? Answer:
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