An airplane is flying in the direction 25° west of north at 800 km/h. Find the component form of the velocity of the air- plane, assuming that the positive x-axis represents due east and the positive y-axis represents due north.

Q: The tip of the minute hand of a clock is 6.8 in. from the center of the clock.  Find the linear…

A:

Q: lating linear velocity v and angular velocity w for a circle of radius r is

A:

Q: What is the angle between the curves y = x2 and y = x4 at their point of intersection?

A: We have find the angle between the curves y = x2 and y = x4 at their point of intersection we have,…

Q: If airplanes A and B are moving southwest with peed VA=550 mph, and northwest with speed VB= 459…

A: Given that the plane A and B are moving southwest and northwest with speed 550 mph and 549 mph…

Q: Sketch the curve by eliminating the parameter, and indicate the direction of increasing tat t-0. =…

A:

Q: If an object has a speed of r feet per second and travels adistance d (in feet) in time t (in…

A: an object has a speed of r feet per second and travels adistance d (in feet) in time t (in seconds)

Q: Use the previous exercise to write the equation of the circle ofradius 5 and center (3, 4) in the…

A: Standard form of a equation of a circle whose center is (h, k) and radius is r is, x-h2+y-k2=r2

Q: find the equation of the tangent plane of this surface

A: In this question, we check the surface is simple and then we find the equation of tangent plane at…

Q: The velocity of a particle moving in space is v(t) = i + tj + t²k, find the coordinates of the…

A:

Q: Make a sketch to illustrate the bearing starting from the origin in the center. N71°E -וייויק

A: The objective is to make a sketch illustrate the bearing starting from the origin in the centre.

Q: The shape of y = V that has been reflected across the origin. Preview

A: To find:

Q: Show that the curves r = a sin θ and r =  a cos θ intersectat right angles.

A:

Q: Find the velocity of Zoe relative to the surface of the water.

A: The velocity of Zoe Vz is 3 km/hr to west. Velocity of the current Vc is 15km/hr to north. So, the…

Q: Find the point (x, y) of x+14xy+ 49y = 100 that is closest to the origin and lies in the first…

A:

Q: Give an equation for the tangent plane to x2 + y + z? = 101 at the point (-2, 9, 4). = 0.

A:

Q: A plane flies at a speed of 380 mph on a bearing of S45°E. Relative to the ground, the plane's speed…

A:

Q: Find the point (x, y) of x² + 14xy+49y = 100 that is closest to the origin and lies in the first…

A: we draw a shortest straight line from origin to line, which will we perpendicular then we will find…

Q: A helicopter is to fly directly from a helipad at the origin in the directionof the point (1, 1, 1)…

A: Given that: A helicopter is to fly directly from a helipad at the origin in the direction of the…

Q: Two planes leave the Minneapolis-St. Paul International Airport at approximately the same time. One…

A:

Q: Find the distance between the lines: r = + t r; = + s

A: Given: r1→=1,1,0+t1,6,2 and r2→=1,5,-2+s2,15,6 where a1=1,1,0 , a2=1,5,-2,b1=1,6,2, and b2=2,15,6 To…

Q: The temperature at the point (x, y) on a metal plate is x² + y? " Find the direction of greatest…

A:

Q: Find a parametrization for the line through the point (a, b) having slope m.

A: Given that slope = m , this can be written as <1,m> vector. And point= (a,b)

Q: Determine if the AB is a tangent line or not. 8 cm 5 сm A 12 cm Yes or No Yes

A: The answer is given below:

Q: Sketch the following curves. 33. y = 2x + 3x2 + 1 %3D

A:

Q: An airplane is traveling in the direction 30° west of north at 700 km/hr. Find the component form of…

A:

Q: Find the slope of the parametric curve x = -2t3 + 1, y = 3t2, for - ∞ < t < ∞, at the point…

A:

Q: Find the equation of the tangent and normal to the parabola y=4ax at the point (at²,2at)

A:

Q: A particle travels along the parabola y = ax^2 + x + b. At what point do its abscissa and ordinate…

A: Given: y=ax2+x+b

Q: A coast artillery gun can fire at any angle of elevation between 0° and 90° in a fixed vertical…

A: A coast artillery gun can fire at any angle of elevation between 0° and 90.

Q: Find the distance from the origin to the point (x, y).

A: Distance between Ax1, y1 and Bx2, y2 is, AB=x2-x12+y2-y12

Q: The tip of the minute hand of a clock is 4.4 in. from the center of the clock.  Find the linear…

A: This question is related to speed and angular speed . We will solve it using given information.

Q: Find the equation of the tangent to the curv e y = 23 Az-12 at the point where a = 3. Answer:

A:

Q: An airplane is traveling at a speed of 130 km/hr with a bearing of 10° at a fixed altitude with…

A:

Q: Find the linear speed v for a point on the edge of a flywheel of radius 2 m, rotating 42 times per…

A:

Q: Pind Slope of the tangent line @ given pt to the ellipse 9xe + loy? =199 (2,3 313

A:

Q: Compute for the tangential velocity of a wheel rotating at a speed of 2000 rpm such that the radius…

A: Formula for tangential velocity Vt is: Vt=2πrt  here r is the radius of the wheel and t is the time…

Q: Find the tangent plane to the equation z - 3x? – – 108) 4y? + y at the point (5, 3, z =

A:

Q: Find the distance from the centre at which the velocity in S. H. M. will be half of the maximum.

A:

Q: Give the equation of the tangent plane to each of these surfaces at the point indicated.

A:

Q: A drive has a maximum speed of 12,000 revolutions per minute. If a disc has a diameter of 12 cm​,…

A: Given 5000 revolutions per minute

Q: Find a rectangular-coordinate equation for the curve by eliminating the parameter. x = et, y = e-t

A:

Q: DA particle moves along a line with velocity IG ? at tim 4++3

A: To find the distance travelled by the particle for the given time period.

Q: An airplane is flying in the direction 25° west of north at 800 km> h. Find the component form of…

A:

Q: Find the linear speed v for a point on the tread of a tire of radius 18 cm, rotating 35 times per…

A: r=18 cm and tire is rotating 35 times per min. Now, ω=θt=35·2π1     ∵1 rotation=2π=70π

Q: A jet is flying in a direction N 20degree E with a speed of 500 mi/h. Find the north and east…

A: A jet is flying in a direction N 20degree E with a speed of 500 mi/h. Find the north and east…

Q: Find a parametrization for the curve described below. the line segment with endpoints (- 2, - 5) and…

A:

Q: Find the length of the Conjugate axis if the length of the semi-transverse axis is 92 and the…

A:

Q: Find the linear velocity of a point rotating at 30 revolutions per second on a circle ofradius 6…

A: Given that , A point is rotating at 30 revolutions per second on a circle of radius 6 cm. To find…

Q: where c is a constant, then prove that the foot of perpendicular from the origin upon the straight…

A: