Provide an appropriate response.Does the graph of f(x) =   have a vertical tangent at the point (0, 5)? Give reasons for your answer.

What will be an ideal response?


The function is not differentiable at x = 0 because it is discontinuous at x = 0. The graph does not have a vertical tangent at (0, 5) since f remains bounded as x approaches zero from either side.

Mathematics

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Complete.8 yd =  in.

A. 2
B. 96
C. 24
D. 288

Mathematics

A small country consists of four states (State 1, State 2, State 3, and State 4). The total population of the country is 200,000. The standard quotas are q1 = 64.8, q2 = 89.9, q3 = 39.6, and q4 = 5.7 respectively.Which of the following numbers can be used as a modified divisor under Jefferson's method?

A. 1004 B. 990 C. 1001 D. 1000 E. none of these

Mathematics

Find all specified roots.Sixth roots of i.

A. cis , cis , cis , cis , cis 
B. cis , cis , cis , cis , cis , 1
C. cis , cis , cis , cis , i
D. cis , cis , cis , cis 

Mathematics

Translate the phrase into a mathematical expression and then evaluate it.One hundred minus six times seven

A. 100 - 6 ? 7; 658 B. 100 ? 6 - 7; 593 C. 100 + 6 ? 7; 43 D. 100 - 6 ? 7; 58

Mathematics