For the following exercises, find the most suitable system of coordinates to describe the solids.
418. San Francisco is located at
Want to see the full answer?
Check out a sample textbook solutionChapter 2 Solutions
Calculus Volume 3
Additional Math Textbook Solutions
Mathematics for Elementary Teachers with Activities (5th Edition)
Calculus Volume 2
Finite Mathematics & Its Applications (12th Edition)
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)
- A pipeline is to be fitted under a road within the perimeter of the theme park and can be represented on 3D Cartesian axes as below, with the x-axis pointing East, the y-axis North, and the z-axis vertical. The pipeline is to consist of a straight section AB directly under the road, and another straight section BC connected to the first. All lengths are in metres. Refer to the attached image and provide the following: 1- Calculate the distance AB The section BC is to be drilled in the direction of the vector 3i+4j+k 2-Find the angle between the sections AB and BC. The section of pipe reaches ground level at the point (a,b,0). 3-Write down a vector equation of the line BC. Hence find a and b.arrow_forwardA plane travels N30°W at 450 mph and encounters a wind blowing due west at 30 mph. Express the velocity of the plane vp relative to the air in terms of i and j. Express the velocity of the wind vw in terms of i and j. Express the true velocity of the plane vT in terms of i and j and find the true speed of the plane.arrow_forwardYou and a friend live 4 miles apart. You hear a clap of thunder from lightning 16 seconds before your friend hears it. Where did the lightning occur? (Assume sound travels at 1100 feet per second. Impose a coordinate system with units in feet. Assume the transverse axis is horizontal and the center, halfway between you and your friend, is the origin.)arrow_forward
- Determine the area of the rectangle below if: Sec A = - 5/3 Try using the Cartesian plane/grid.arrow_forwardA plane heads north at a speed of 300 mph. The wind is blowing N 30°E at a speed of 20mph. Find the velocity of the plane, the wind, and the true velocity of the plane expressed in component form<a,b>. Find the true speed of the plane.arrow_forwarda clock has a dial face of 12 inches in radius. the minute hand is 9 inches while the hour hand is 6 inches. the plane of rotation of the hour hand is 3 inches about the plane of rotation of the minute hand. find the distance between the tips of the minute hand and hour hand at 5:40 amarrow_forward
- Provide the equation of a sphere of radius 5, centered at the origin, in: 1. rectangular coordinates 2. cylindrical coordinates 3. spherical coordinatesarrow_forward1. Consider the points in R³ given by P (-2,1,0), Q (1,-1,2), and R(-1,1,0). Find the following:arrow_forwardDOT AND CROSS PRODUCT ARE A MUST to determine whether the chosen point lies within or outside the box. a = 5 b = 2 Illustrate the coordinates of each corner of the box, and specify whether the point P is in front or behind each face of the box.arrow_forward
- Find the angle θ between the vectors v = 5i + 2j and w = -3i + j. Round to the nearest tenth of a degree.arrow_forwardA child enters a carousel that takes one minute to revolve once around. The child enters at the point (0,1), that is, on the due north position. Assume the carousel revolves counterclockwise. What are the coordinates of the child after 15 seconds? Enter the exact answer as a point, (a, b).arrow_forwardA child enters a carousel that takes one minute to revolve once around. The child enters at the point (0,1), that is, on the due north position. Assume the carousel revolves counterclockwise. What are the coordinates of the child after 15 seconds? Enter the exact answer as a point, (a,b).arrow_forward
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,