Suppose the elevation z above a point (x, y) in a horizontal xy- plane at sea level is z = 5cos (0.01(x? + y²)) meters. The positive x-axis points east, and the positive y-axis point north. A climber is at the point (6, 8, 2.70). If the climber uses a compass reading to walk southwest, will he ascend or descend? At what rate? Give your answer rounded to the nearest hundredth, and explain what the units are.

Q: Find the radius r of the circle which has center (5,0) and is tangent to the line y = 2x. Or=5…

A: Given :Center 5, 0Tangent to line y=2x

Q: gment JK and segment HK are tangents to rcle G. J

A: Given that:

Q: Find the points on the curve as results of the intersection of x² + y? + z? – 2z = 0, y+ z = 1, -…

A:

Q: Q For the Point P(3,120) (a) Live ano ther expression for the point in case (b) convert Hhis point…

A: Given: The polar coordinate P(3,120)

Q: Find the distance from the point (4, 9) to the line y = 2x.

A:

Q: You are in a room 30 feet long with a heater at one end. In the morning the room is 65°F. You turn…

A: Given Information:In a room of feet long with a heater at one end.In the morning, the room is…

Q: Find the angle at which the circles x2 +y2 +x+y=0 and x2 +y2 +x-y=0 intersect.

A: The angle of intersection of the two circles is given by cosθ=r12+r22-C1C22r1r2where r1 and r2 are…

Q: Solve for the missing information (Lines that appear to be tangent are tangent.) AC = 20 cm, AE = 37…

A: To find- Solve for the missing information (Lines that appear to be tangent are tangent.) AC = 20…

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.