Assuming that the equations define x and y implicitly as differentiable functions   find the slope of the curve   at the given value of t.2x + 4x3/2 = t3 + t, y(t + 1) - 4t = 25, t = 0

A. 10
B. -10
C. - 
D. -5


Answer: B

Mathematics

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A.  
B.
C.  
D.  

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Solve the differential equation.D2y - 5 Dy = 0

A. y = c1e-5x + c2 B. y = c1e-5x + c2ex  C. y = c1e5x + c2ex  D. y = c1e5x + c2

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Simplify the expression. Assume all variables represent positive real numbers.10 - 4x

A. 6x
B. 10 - 4x
C. 14
D. 6x

Mathematics

A police cruiser hunting for a suspect pulls over and stops at a point a = 10 ft from a straight wall. The flasher on top of the cruiser revolves at a constant rate of 75°/second, and the light beam casts a spot of light as it strikes the wall. How fast is the spot of light moving along the wall at a point 50 ft from the point on the wall closest to the cruiser? ? Round the answer to the nearest tenth, if necessary. ? ? __________ ft/sec

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

Mathematics