Thread: Urgent - Calculus

1) A searchlight is kept focus on an aircraft that flies directly above the light at a constant altitude of 2 kilometers and speed of 0.2 kilometer per second. Two seconds after the plane is directly over the light, how fast (in rad/s) is the light rotating?


2)Use a linear approximation (or differentials) to estimate



3)A curve passes through the point (0,4) and has the property that the slope of the curve at every point P is three times the y- coordinate of P. What is the equation of the curve?

Originally Posted by treetheta

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3)A curve passes through the point (0,4) and has the property that the slope of the curve at every point P is three times the y- coordinate of P. What is the equation of the curve?

1. You know:

Integrate wrt x:



Solve for y:



The graph of this function passes through P(0, 4):



Thus:

Omg, thank you so much,

can someone help me with the remaining questions