Use the procedure for solving variation problems to solve the exercise. yvanes jointly as a and...
33,39
y 2.192 when x = 2.4 and z = 2.25. 32. n is jointly proportional to r and the square root of b, and Solve each variation problem. 33. If y varies directly as x, and y = 9 when x = 2, what is y n =-18.954 when x =-1.35 and b = 15.21. when x =-3? 34. Ify is directly proportional to z, and y = 6 when z = V12, 47. The t same what is...
Solving Direct Variation Problems For the following exercises, use Kepler's Law, which states that the square of the time, T (measured in Earth years), required for a planet to orbit the Sun varies directly with the cube of the mean distance, a (measured in billions of kilometers), that the planet is from the Sun. a. Use Uranus's time of 84 and mean distance of 2.871 billion kilometers, find the equation relating T and a. (Enter an equation in terms of...
Solving Direct Variation Problems For the following exercises, use Kepler's Law, which states that the square of the time, T (measured in Earth years), required for a planet to orbit the Sun varies directly with the cube of the mean distance, a (measured in billions of miles), that the planet is from the Sun. a. Use Jupiter's time of 12 and mean distance of 0.484 billion miles, find the equation relating T and a. (Enter an equation in terms of...
7. Solve the quadratic inequalities: P(x)-x2 +3x+ 10:P(x) s 0 a. Find the constant variation and write the related variation equation: a. C varies directly with R and inversely with the squared of s. 8. C 21 when R-17 and s-1.5 J varies directly with P and inversely with square root of Q. J-19 when P-4 and Q-25 b. -THE END
Three points in a plane determine a unique triangle. Solve the triangle formed by the points A(-2,-5), B(1. - 1), and C(2. - 5). AB (Type an integer or a decimal. Round to the nearest tenth as needed) BC= (Type an integer or a decimal. Round to the nearest tenth as needed.) AC- (Type an integer or a decimal. Round to the nearest tenth as needed.) A- (Type your answer in degrees. Do not round until the final answer. Then...
Differential Equations
Assignment 15.
Variation of Parameters
Solve each of the following by variation of parameters
1-4 please
Assignment 15. Variation of Parameters Read 4.6, 6.4 You should be able to do the following problems: Exercise 4.6 Problems 1 18, Exercise 6.4 Probl1-6 Hand in the following problems: Solve each of the following by variation of parameters. y" +y - sin a cos r 2a 3 4. The Method of Variation of Parameters can be used to find the general...
Solving variation problem
5. Let a be directly proportional to m and n2, and inversely proportional to y3. If a9 when m 4,n-9, and y - 3, find a when m-6,n2, and y -5. 7. Current Flow In electric current flow, it is found that the resistance offered by a fixed length of wire of a given material varies inversely as the square of the diameter of the wire. If a wire 0.01 in. in diameter has a resistance of...
Solve the right triangle 300 4 B= ខន (Round to the nearest tenth as needed.) be (Round to the nearest tenth as needed) Solve the right triangle A- (Type an integer or a decimal.) a = (Type an integer or decimal rounded to the nearest tenth as needed c- Type an integer or decimal rounded to the nearest tenth as needed.)
104) Use Polya's manipulatives / drawing strategy with algebra tiles to demonstrate the procedure of solving the following problems visually as done in class. (a) Factorize P(x) = 8x2 - 2x - 15 (b) Also known as the father of algebra, Muhammad ibn Musa al-Khwarizmi (780-850 CE) is the first mathematician to write an algebra book. In his treatise “Al-Kitab almukhtasar fi hisab al-jabr wa’l-muqabala," al-Khwarizmi considers the following problem: What must be the square which, when increased by ten...
Solve the triangle B с 170 360 А b=19 B = 127 (Type an integer or a decimal. Do not round until the final answer. Then round to the nearest degree as needed.) a (Type an integer or a decimal. Do not round until the final answer. Then round to the nearest tenth as needed.)