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Ben has a cellphone plan that provides 200 free minutes each month for a flat rate of $39. For any minutes over 200 Ben is charged $0.35 per minute. Create a piecewise function that accurately represents Ben's charges based on his cellphone plan.
Find all local maxima and minima and all saddle points of the function and find the volume of the solid in the first octant.
A building is 282 feet tall. For a class project, Kari is to make a scale model of the building to place in the front hall display case. The display case is 22 inches tall. Which scale will allow her to make the tallest model that will fit in the ..
In triangle ABC, angle C is a right angle. Find the measure of angle B if side b = 19 m and side c = 89 m. Round to the nearest degree.
The speed of a passenger train is 18 mph fasster than the speed of a freight train. The passenger train travels 280 miles in the same time it takes the freight train to travel 190 miles. Find the speed of each train.
assume that you have a credit card from the hypothetical big bank. pick an imaginary outstanding balance. then answer
A plane flying with a constant speed of 390 km/h passes over a ground radar station at an altitude of 2 km and climbs at an angle of 30 degrees. At what rate is the distance from the plane to the radar station increasing a minute later? (Round you..
a merchant has 5 pounds of mixed nuts that cost $30. he wants to add peanuts that cost $1.50 per pound and cashews that cost $4.50 per pound to obtain 50 pounds of a mixture that cost $2.90 per pound. How many pounds of peanuts are needed?
Please evaluate the following integral using the formula for integration by parts,
Math 104: Homework 8. Draw the sequence of functions f0(x), f1(x) and f2(x). Which of the functions are continuous at x = 0? Which of them are differentiable at x = 0
In the following case, state if the following set of vectors are linearly independent or linearly dependent. Justify your answer.
Identify the error made in the solved problem. Correctly solve/simplify the problem showing all the steps. Be sure to include any formulas or properties that support the correctly solved problem. Write a few sentences explaining how to avoid making..
Newton's Law of Cooling states that the rate of change of the temperature of an object is proportional to the difference between the temperature of the object and the temperature of the environment.
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