Please don't provide handwritten solution... Find the point on the sphere x² + (y + 2)² + (z + 9)² = 4 nearest toa. the xy-plane.b. the point (0, -6, -9).a. The point on the sphere nearest the xy-plane is (..[10.0.

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Answered: Find the point on the sphere x² + (y +…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The student chapter of Philippine Society of Mechanical Engineers is planning a 6-day trip to the National conference in North of Luzon. For transportation the group will rent a car from either the Motor Pool Corporation or a local car dealer. The Motor Pool charges Php 20.80 per km, has no daily fee, and the motor pool pays for the gas. The car dealer charges Php 1,500 per day and Php 11.2 per km, but the group must pay for the gas. The car's fuel rating is 40 km per gallon, and the price of the gas is estimated to be Php 96 per gallon. a. If the students anticipate driving 1,200 km total, from whom should they rent a car? b.At what point, in km, is the cost of both options equal? c. The car dealer has offered a special student discount and will give the students 50 free km per day, from whom should they rent a car. What is the new breakeven point?
The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 70 students, requires 5 chaperones, and costs $1,400 to rent. Each van can transport 10 students, requires 1 chaperone, and costs $90 to rent. Since there are 700 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 700 students. Since only 60 parents have volunteered to serve as chaperones, the officers must plan to use at most 60 chaperones. How many vehicles of each type should the officers rent in order to minimize the transportation costs? What are the minimal transportation costs? The officers should rent buses and vans to minimize the transportation costs.
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Two ecotaxis companies A and B handle different rates. Company A has a rate of $ 8.5, the cost of the flag is $ 4.6 the cost per kilometer traveled. Company B charges $ 6.75 for the flag and $ 5.2 for the cost of each kilometer traveled. Decide which two of the following statements are valid for this situation a) The cost of both companies coincides at 35/12 km b) The cost of the trip with company B is cheaper than company A regardless of the distance traveled c) With a cost of 30 pesos you can go further with company A
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Allen was involved in an auto accident in which he was at fault. His car sustained damages in the amount of $,327. The other vehicle had damages costing $1,309, in repairs. Allen was not injured, but the driver of the other car required medical treatment costing $22,619 and a passenger's injuries totaled $24,051. Addittional property damage amounted to $3,460. Allen's policy includes 50/100/50 liability, $250 deductible collision and full coverage comprehensive. Determine the amount of damages the insurance company is required to pay?
Solve the following word problems.

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Find the point on the sphere x² + (y + 2)² + (z+ 9)² = 4 nearest to a. the xy-plane. b. the point (0, -6, -9). a. The point on the sphere nearest the xy-plane is (..[ 10.0.