Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.

Use the information given in Figure 1 to find x, h, s, and r if y=3. (Note: s is the distance from A to D. and y is the distance from D to B .)

Find the distance between P and Q. P(3,7);Q(6,3)

To complete the original question asked... how would the check for both x-coordinate and y-coordinate look like?

Caitlyn skis along a circular ski trail with a radius 1.4 km long. Caitlyn starts at the 3-o'clock position of the trail (the East-side) and travels in the CCW direction. Which of the following expressions represents Caitlyn's distance to the right of the center of the ski trail in km, h, in terms of the number of km that Caitlyn has traveled since she started skiing, d? Oh = 1.4 cos(d) Oh = 1.4 cos Oh = COS (14) Oh = 1.4 cos (1.4 · d) Oh = 1.4 cos(d + 1.4) 1.4

6. Find d for the equation ry? – x²y= 2

answer in image

The Blue Angels, the Navy's elite flying squadron, have performed for more than 427 million fans since their inception in 1946.†   Suppose the two Blue Angel jets at points P and A in the diagram have elevations of 1570 feet and 1000 feet, respectively. Both are flying east toward the viewing crowd at T. From T, the measure of the angle of elevation of jet P is 5°, and the measure of the angle of elevation of jet A is 2.2°. (Round your answers to two decimal places.)   (a) How far from the crowd is each of the jets? Plane P      ft Plane A      ft (b) Find the distance d between the nose tip of jet A and the nose tip of jet P.d =  ft(c) What is the ground distance from the nose tip of each jet from the crowd? Plane P       Plane A

Eratosthenes noticed that the shadow’s length was 1/8 the pole’s height. Suppose thepole’s height was ℎ = 2  and the shadow’s length was , = 0.25 . Calculate the anglebetween the Sun’s ray and the pole’s axis in degrees: - = XXXXXXXXXX . Expressthe same angle in radians: - = XXXXXXXXXX .1.7. Recall the beam of light travelling down the well in Syene. Extend that beam to thecenter of Earth. Also extend the pole’s axis to the center of Earth. These two extensionsare represented by dashed lines in Figure 1. The intersection of these two lines formsan angle . at the Earth’s center. Use basic geometry to find the relation between angles. and -. Calculate the angle . in radians: . = XXXXXXXXXX .

The line, L, makes an angle of 30° with the positive direction of the x-axis. k Find the equation of the line perpendicular to L, passing through (0, -4).