Find the curvature of the space curve.r(t) = 
(1 + t)3/2i +
(1 - t)3/2j + 
tk
A. ? = 
B. ? = 
C. ? = 
D. ? = 
Answer: B
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Provide an appropriate response.The inequality 1- 
< 
< 1 holds when x is measured in radians and 
< 1.Find
if it exists.
A. does not exist B. 0 C. 0.0007 D. 1
One root of the equation is given. Find the remaining roots of the equation using synthetic division.x3 - 2x2 - 11x + 52 = 0; -4
A. 3 + 2j, 3 - 2j
B. 3 + 4j, 3 - 4j
C. 1 + 2j, 1 - 2j
D. 1 + 2
j, 1 - 2
j
Find an equation for the ellipse described.Center at (0, 0); focus at (-4, 0); vertex at (5, 0)
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Sketch the graph of the function. Indicate where it is increasing and where it is decreasing. Indicate where any relative extrema occur, where asymptotes occur, where the graph is concave up and where is it concave down, where any points of inflection occur, and where any intercepts occur. f(x) = 
What will be an ideal response?