### Finding cylindrical coordinates

(See attached file for full problem description) --- Given a point P with spherical coordinates (4, pi/6, pi/4). Find the xyz coordinates and cylindrical coordinates for P. ---

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(See attached file for full problem description) --- Given a point P with spherical coordinates (4, pi/6, pi/4). Find the xyz coordinates and cylindrical coordinates for P. ---

I would like for you to complete an optimization project. Examples include: the optimum number of hours to study for an exam, the best time to leave for work to avoid traffic, the optimum speed to drive a dirt bike up a hill to achieve the longest jump. I would like you to follow "The Process of Problem Solving" found below

Please see attached. 1. A factory working at 83% of capacity produces 231 widgets per day. How many widgets would it produce if it worked at full capacity? 2. Solve for X: x - 2.4 = 1.5 .3 3. Simplify: (Recall: x-3 = 1/x3) 91/2 a2/3 b-1/5 b4/5 4. PROTRAC, Inc. produces two line

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An aircraft is going from destination A to B on a bearing of North 111 degrees East is traveling at a speed of 430 miles per hour. The wind is blowing out of the north to south at a speed of 25 miles per hour. What is the ground speed in miles per hour and the planes true bearing?

1. Consider the following table: X 0 1 2 3 4 5 Y 1.5 2.4 3.6 4.5 5.6 6.7 For each of the following intervals, find the average rate of change: (a) [0,1] (b) [0,3] (c) [2,5] (d) [0,5] 2. Consider the following table: X 1 2 3 4 5 6 Y 24 26 28 27 25 23 For each of the following intervals, find the average rat

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A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight toward the building at a speed of 1.6 m/s, how fast is the length of his shadow on the building decreasing when he is 4 m from the building?

In the summer of 1999, construction will begin on a 3000 ft. tunnel that will pass under the Mississippi River, connecting the cities of East St. Louis, Illinois and St. Louis, Missouri. A Missouri-based company has been contracted to begin excavating the tunnel from the Missouri side, while an Illinois-based company will begin

ASW Publishing Inc., a small publisher of textbooks, must make a decision regarding which books to publish next year. The books under consideration are listed in the following table, along with the projected three year sales expected from each book: Book Subject Type of Book Projected Sales (1000's) Business Calculus Ne

A mothball loses mass by evaporation at a rate proportional to its instantaneous surface area. If half the mass is lost in 100 days, how long will it be before the radius has decreased to one-half its initial value? How long before the mothball disappears completely?

30) If f(x) = ln(sin(x^2)), then f''(x)=? Explain. 31) The college is making parking lot, rectangular and enclose 6000 sq meters. A fence will surround the lot and on parallel to one of the sides will divide the lot into two sections. What are the dimensions in meters of the rectangle lot using the least amount of fen

Please see the attached file for the fully formatted problems. MAX FLOW A company is constructing guttering to carry water. The cross section of the guttering is below: Each side is the same length and the angle between each side and the hosizontal are equal. That is, the cross section is symmetrical about the vertical

What is calculus and how does it work? Are there different types of calculus and how do they differ?

Please see the attached file for the fully formatted problems. 1. Use an iterated integral to find the area of a region... 2. Evaluate the double integral... 3. Use double integral to find the volume of a solid... 4. Verify moments of inertia... 5. Limit of double integral... 6. Surface area... 7. Triple integral...

Please see the attached file for the fully formatted problems. Problems involve: parametric equation of line segment, volume of a parallelipiped, sketching a plane gven the equation, finding rectangular equations, center and radius of a sphere using the equation of a sphere, force vector problems.

Given the polynomial obtain the roots of it.

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A waffle cone has a height of 6in with a radius at the top being 1 inch. A spherical scoop of ice cream is placed on top of the cone and melts into the cone. At a particular instant of time, the radius of the ice cream is 3/2 inch and is decreasing by 1/100 in/min. At this same time, the height of the melted ice cream in the