Provide an appropriate response.Consider the curves corresponding to polar equations of the form 
where 
Explain how the graph changes as a changes. Identify any values of a for which the basic shape of the curve changes.
What will be an ideal response?
For 0 < a < 1, the curve is an oval. As a ? 1-, the oval develops a dimple. When 
the graph resembles a parabola with a dimple at the vertex. When 
the curve has two parts that resemble the branches of a hyperbola, although the left-hand "branch" has a loop and, as a increases, the right-hand "branch" develops a bulge.
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Graph the function f(x) over the given interval. Partition the interval into 4 subintervals of equal length. Then add to your sketch the rectangles associated with the Riemann sum 
, using the indicated point in the kth subinterval for ck.f(x) = x2 - 3, [0, 8], midpoint
A. 
B. 
C. 
D. 
Solve the problem.A force of magnitude 14 pounds pulling on a suitcase makes an angle of 60° with the ground. Express the force in terms of its i and j components.
A. 0.5000i + + 0.8660j B. 7.000i + 12.12 j C. -13.33i - 4.267j D. 12.12i + 7.000j
Solve. The polynomial 3x2 + 4x - 95 represents the area of a parallelogram. Factor the polynomial.
A. (3x - 19)(x - 5) B. (3x + 19)(x + 5) C. (3x + 19)(x - 5) D. (3x - 19)(x + 5)
Use the Quotient to a Power Rule to simplify. All variables are nonzero.
3
A. 
B. 
C. 
D. 