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9a.An artillery shell is fired with an initial velocity of 300 m/s at 62.5° above the horizontal. To clear an avalanche, it explodes on a mountainside 34.5 s after firing. What are the x- and y-coordinates of the shell where it explodes, relative to its firing point?


8b.A projectile is launched with an initial speed of 59.0 m/s at an angle of 35.0° above the horizontal. The projectile lands on a hillside 3.55 s later. Neglect air friction. (Assume that the +x-axis is to the right and the +y-axis is up along the page.)

(a) What is the projectile's velocity at the highest point of its trajectory?


(b) What is the straight-line distance from where the projectile was launched to where it hits its target?

 


Suppose a firm faces the production function Q=4L+12L^2-2L^3



find the maximum points of AP and MP curves

What pressure will be exerted by 25 g of CO2 at a temperature of 25 degrees celsius and a volume of 500 ml


8a.A house is advertised as having 1900 square feet under roof. What is the area of this house in square meters?


12a.A right triangle has a hypotenuse of length 2.00 m, and one of its angles is 35.0°. What are the lengths of the following sides?

(a) the side opposite the 35.0° angle

 


(b) the side adjacent to the 35.0° angle

 


14a. A vector A has components Ax = −2.00 m and Ay = 2.50 m.

 Find the magnitude (in m) and the direction (in degrees counterclockwise from the +x-axis) of the vector.


What numerical value of the gas content, R, is used to solve this problem. Explain your answer.


15a.The magnitude of vector A is 29.5 units and points in the direction 330° counterclockwise from the positive x-axis. Calculate the x- and y-components of this vector.


Explain why the structure of phospholipids are ideal for the structure and function of the cell membrane.

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