Provide an appropriate response.What is the sum of three consecutive integers in terms of the middle number x? What would the sum be in terms of the middle number for five and seven consecutive integers? What can you generalize about the sum of n consecutive integers where n is odd?
Fill in the blank(s) with the appropriate word(s).
3x, 5x, 7x, nx
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Sketch the graph of a continuous function f on the given domain that satisfies all conditions.f has domain [-4, 4]; f(-4) = 0; f(4) = 4;f'(x) < 0 on (-2, 2); f'(x) > 0 on (-4, -2) ? (2, 4)f''(x) < 0 on (-4, 0); f''(x) > 0 on (0, 4)
A.
B.
C.
D.
Find the flux of the vector field F across the surface S in the indicated direction.F(x, y, z) = xzi + yzj + k , S is the cap cut from the sphere x2 + y2 + z2 = 16 by the plane direction away from the origin
A. ?
B. ?
C. - ?
D. 255?
Answer the question on the order of rational numbers.Order the rational numbers in increasing order;,
,
A. ,
,
B. ,
,
C. ,
,
Write the ratio in simplest form.A molecule of ethanol is composed of two atoms of carbon, six atoms of hydrogen, and one atom of oxygen. Write the ratio of oxygen atoms to total atoms in a molecule of ethanol.
A.
B. 9
C. 1
D.