Use Descartes' Rule of Signs to determine the possible number of positive real zeros and the possible number of negative real zeros for the function.P(x) = -4x4 + 2x3 - 2x2 + 8x - 2

A. 0 or 2 positive; 0 negative
B. 0, 2, or 4 positive; 0, 2, or 4 negative
C. 0, 2, or 4 positive; 0 negative
D. 0 or 2 positive; 0, 2, or 4 negative


Answer: C

Mathematics

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Use Euler's method to approximate the solution. Also find the exact solution. Round your answers to four decimal places.Use Euler's method with ?x = 0.2 to approximate y(1) given that  and y(0) = 7. Also find the exact value of y(1) given that  

A. y(1) ? 9.4883; the exact solution is y(1) = 9.7183 B. y(1) ? 8.9136; the exact solution is y(1) = 8.7183 C. y(1) ? 8.8736; the exact solution is y(1) = 9.7183 D. y(1) ? 8.2659; the exact solution is y(1) = 8.7183

Mathematics

Write the first four terms of the binomial expansion.(m + 3n)13

A. m13 + 39m12n + 234m11n2 + 858m10n3 B. m13 + 39m12n + 702m11n2 + 7722m10n3 C. m13 + 3m12n + 9m11n2 + 27m10n3 D. m13 + 13m12n + 78m11n2 + 286m10n3

Mathematics

Find the period.y = 3 cos(3?x + 4)

A.
B.
C. 3?
D.

Mathematics

Provide an appropriate response.If A and B are independent events, how many of the following statements must be true?(i) A' and B are independent.(ii) A and B' are independent.(iii) A' and B' are independent.

A. None B. All C. Two D. One

Mathematics