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What two angles of elevation will enable a projectile to reach a target 14 km downrange on the same level as the gun if the projectiles initial speed is 397 m/sec?
In polar coordinates, write equations for the line x=1 and the circle of radius 2 centered at the origin. Write an integral in polar coordinates representing the area of the region to the right of x=1 and inside the circle
Find the gradient of f at the point (2, 4, 4). Find the rate of change of the function f at the point (2, 4, 4) in the direction u = 5/√50, -3/√50, 4/√50, 4/√50.
when interest is compounded continuously the balance in an account after t years is given bya pertwhere p is the
What is the radius and center of the circle r = -8sinθ? Convert rcosθ = 4 to rectangular coordinates. Convert 2xy = x2 + y2 to polar coordinates
Find the velocity of the rock after one second.
A motorboat can maintain a constant speed of 43 miles per hour relatuve to the water. The boat makes a trip upstream to a certain point in 52 minures; the return trip takes 34 minutes. What is the speed of the current?
The most general form of a fourth-order isotropic tensor can be expressed by adijdkl þ bdikdjl þ gdildjk where a, b, and g are arbitrary constants. Verify that this form remains the same under the general transformation given by (1.5.1)5.
List all points (x, y) at which the trajectory has a horizontal tangent line. List all points separated by commas. List all points (x, y) at which the trajectory has a vertical tangent line. List all points separated by commas.
a ladder 14 feet long makes an angle of 59 degrees with the ground as it leans against a building. how far up teh building does the ladder reach?
given that a position vector of the points abc are 6i2j6k 2i3jk and14i16k respectively .find vector ab and ac and
consider the following age data which is the result of selecting a random sample of 20 united airlines
From the top of a 230 ft lighthouse, the angle of depression to a ship in the ocean is 23°. How far is the ship from the base of the lighthouse? Round your answer to the nearest foot.
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