The product of two positive numbers is 75. What is the smallest possible value of their...
5. Find the e-coordinate of the point on the curve : +3y3 = 3ay where the tangent is horizontal. Show your work in the PDF version of the test. 7. How many real roots does the equation ! 9x +c=0 have in the interval (-3,0? Hint: use the Mean Value Theorem (Rolle's Theorem). Show your work in the PDF version of the test. A. At most two real roots B. At least one real roots C. No real roots D....
What two nonnegative real numbers with a sum of 30 have the largest possible product? Let x be one of the numbers and let P be the product of the two numbers. Write the objective function in terms of x. P= (Type an expression.) The interval of interest of the objective function is (Simplify your answer. Type your answer in interval notation) The numbers that have a sum of 30 and have the largest possible product are (Use a comma...
Please answer the following two questions.
Find the smallest positive integer solution to the equation. Show all of your work. x = 4 mod 7 Find the smallest positive integer solution to the equation. Show all of your work. x5 = 11 mod 35
14. Find two positive real numbers with a maximum product whose sum is 110. Write one number in each blank. 15. Find two positive real numbers where the sum of the first number and twice the second is 36. Find the two numbers that maximize the product. Write one number in each blank. 16. A rectangular garden is planted right up next to the wall of a building, and it going to have edging on three sides. If 54 feet...
Question 7 Find two positive real numbers whose product is a maximum. The sum is 140. Set up two equations using s and 7 for the two real numbers. s + t = 140 and M = st Find the maximum value of M. O 10, 130 O O 100, 40 O 80,60 O 90,50 70, 70
(a) Find the critical numbers of the function f(x) = x(x - 1)? (smallest value) X= X (largest value) (b) What does the Second Derivative Test tell you about the behavior off at these critical numbers? At x = the function has --Select... (c) What does the First Derivative Test tell you? (Enter your answers from smallest to largest x value.) At x = the function has --Select- At x = the function has --Select- At x = the function...
(a) Find the critical numbers of the function f(x) = x6(x − 1)5. x = (smallest value) x = x = (largest value) (b) What does the Second Derivative Test tell you about the behavior of f at these critical numbers? At x = , the function has a local minimum (c) What does the First Derivative Test tell you that the Second Derivative test does not? (Enter your answers from smallest to largest x value.) At x = ,...
Question 4 What is the smallest possible value of this resistor? ohms.
What is the smallest positive integer that can be expressed as the sum of nine consecutive positive integers, the sum of ten consecutive positive integers, and the sum of eleven consecutive positive integers? Explain how you arrived at this number.
An electron is in the n = 3 state. What is the smallest possible value for the angle between the z component of the orbital angular momentum and the orbital angular momentum?