Provide an appropriate response.If f(x) = 2x3 - 5x + 5, show that there is at least one value of c for which f(x) equals 
What will be an ideal response?
Notice that f(0) = 5 and f(1) = 2. As f is continuous on [0,1], the Intermediate Value Theorem implies that there is a number c such that 
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Solve the problem.Find the tangent line(s) at the pole for the curve 
A. ? = 0 (y = 0), ? = 
[y = (tan
)x], ? = 
[y = (tan
)x]
B. ? = 
[y = (tan
)x], ? = 
(x = 0), ? = 
[y = (tan
)x]
C. ? = 0 (y = 0), ? = 
[y = (tan 
)x], ? = 
[y = (tan 
)x], ? = 
[y = (tan 
)x], ? = 
[y = (tan 
)x]
D. ? = 
[y = (tan 
)x], ? = 
[y = (tan 
)x], ? = 
(x = 0), ? = 
[y = (tan 
)x], ? = 
[y = (tan 
)x]
Rewrite the trigonometric expression as an algebraic expression involving the variable u. Assume that 
and that the value of the "inner" inverse trigonometric expression represents an angle ? such that 
cos (cot-1 u)
A. 
B. 
C. 
D. 
The (r + 1)st term of the expression (a + b)n, 0 ? r ? n, is given by 
an - rbr. Find the specified term.The 9th term of (x - 2y)10.
A. 11,520x2y8 B. -5760x8y2 C. 11,520x8y2 D. -5760x2y9
Give the domain and range of the relation.
A. domain: (-?, ?); range: [2, ?) B. domain: [2, ?); range: (-?, ?) C. domain: (2, ?); range: (6, ?) D. domain: (-?, ?); range: (-?, ?)