Evaluating a Function In Exercises 9-20, evaluate the function at the given values of the independent variables. Simplify the results. f ( x , y ) = 2 x − y + 3 (a) f ( 0 , 2 ) (b) f ( − 1 , 0 ) (c) f ( 5 , 30 ) (d) f ( 3 , y ) (e) f ( x , 4 ) (f) f ( 5 , t )
Evaluating a Function In Exercises 9-20, evaluate the function at the given values of the independent variables. Simplify the results. f ( x , y ) = 2 x − y + 3 (a) f ( 0 , 2 ) (b) f ( − 1 , 0 ) (c) f ( 5 , 30 ) (d) f ( 3 , y ) (e) f ( x , 4 ) (f) f ( 5 , t )
Solution Summary: The author explains how to determine the function at a given value of independent variables.
Points z1 and z2 are shown on the graph.z1 is at (4 real,6 imaginary), z2 is at (-5 real, 2 imaginary)Part A: Identify the points in standard form and find the distance between them.Part B: Give the complex conjugate of z2 and explain how to find it geometrically.Part C: Find z2 − z1 geometrically and explain your steps.
A polar curve is represented by the equation r1 = 7 + 4cos θ.Part A: What type of limaçon is this curve? Justify your answer using the constants in the equation.Part B: Is the curve symmetrical to the polar axis or the line θ = pi/2 Justify your answer algebraically.Part C: What are the two main differences between the graphs of r1 = 7 + 4cos θ and r2 = 4 + 4cos θ?
A curve, described by x2 + y2 + 8x = 0, has a point A at (−4, 4) on the curve.Part A: What are the polar coordinates of A? Give an exact answer.Part B: What is the polar form of the equation? What type of polar curve is this?Part C: What is the directed distance when Ø = 5pi/6 Give an exact answer.
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