The 5th term of an arithmetic sequence is 8, and the first term is -8. Find the common difference.

Fill in the blank(s) with the appropriate word(s).


Answer: 4

Mathematics

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Compute r''(t).r(t) = (cos 5t)i + (3 sin t)j

A. r''(t) = (-25 cos 5t)i + (-3 sin t)j B. r''(t) = (-25 cos 5t)i + (-9 sin t)j C. r''(t) = (-5 cos 5t)i + (3 sin t)j D. r''(t) = (25 cos 5t)i + (-3 sin t)j

Mathematics

Find the domain and range and describe the level curves for the function f(x,y).f(x, y) = 10x + 4y

A. Domain: all points in the xy-plane; range: real numbers z ? 0 ; level curves: lines  c ? 0
B. Domain: all points in the xy-plane; range: all real numbers; level curves: lines 
C. Domain: all points in the xy-plane; range: all real numbers; level curves: lines  c > 0
D. Domain: all points in the xy-plane; range: real numbers z ? 0; level curves: lines  c ? 0

Mathematics

Divide and/or multiply as indicated. Simplify and leave the numerator and denominator in your answer in factored form. ÷ 

A.
B. (x - 8)(x + 2)
C.
D.  

Mathematics

Give the equation of the vertical asymptote(s) of the rational function.F(x) = 

A. x = 3, x = -3 B. x = 9 C. None D. x = -9

Mathematics