Chapter 1.5, Problem 101E

For each graph in Figure 16, determine whether f (1) is larger or smaller than the slope of the secant line between x = 1 and x = 1 + h for h > 0. Explain your reasoning

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.

New folder 10. Find the area enclosed by the loop of the curve (1- t², t-t³)

1. Graph and find the corresponding Cartesian equation for: t X== y = t +1 2 te(-∞, ∞) 42,369 I APR 27 F5 3 MacBook Air stv A Aa T 4 DII

Middle School GP... Echo home (1) Addition and su... Google Docs Netflix Netflix New folder 9. Find the area enclosed by x = sin²t, y = cost and the y-axis.

2. Graph and find the corresponding Cartesian equation for: (4 cos 0,9 sin 0) θ ε [0, 2π) 42,369 I APR 27 3 MacBook Air 2 tv A Aa

30 Page< 3. Find the equation of the tangent line for x = 1+12, y = 1-3 at t = 2 42,369 APR A 27 M . tv NA 1 TAGN 2 Aa 7 MacBook Air #8