Find the equation for the plane tangent to the parametrized surface S at the point P.S is the cone r(r, ?) = r cos ?i + r sin ?j + 2rk; P = 
.
What will be an ideal response?
Answers will vary. One possibility is 2
x - 2
y + 2z = 0
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If 
, use the calculator to get the value of 
at
src="https://sciemce.com/media/3/ppg__cognero__Section_6.3_Estimating_Rates_of_Change__media__9a16b0a1-f04a-4c3e-ae3b-4090e91dbd3c.PNG" style="vertical-align: middle;" />. Suggestion: Make a graph of f using a horizontal span of 0 to 5. Round your answer to two decimal places. What will be an ideal response?
Identify the type of curve that each equation represents by evaluating B2 - 4AC. x2 - 4xy + 4y2 - 7y = 0
A. Ellipse B. Parabola C. Hyperbola
Find the area of the shaded region.
A. 
B. 
C. 
D. 
Factor completely, or state that the polynomial is prime.12x2y2 - 588y2
A. prime B. 12y2(x + 7)(x - 7) C. y2(x + 7)(12x - 84) D. 12y2(x + 7)(x2 - 7x)