Find the derivative of the function.

g (v) = sin v – 8v csc v


cos v – 8 csc v + 8v csc v cot v

Mathematics

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Solve.A vendor has learned that, by pricing caramel apples at $1.25, sales will reach 89 caramel apples per day. Raising the price to will cause the sales to fall to 49 caramel apples per day. Let y be the number of caramel apples the vendor sells at x dollars each. Write a linear equation that relates the number of caramel apples sold per day to the price x.

A. y = -40x - 139
B. y = - x + 
C. y = -40x + 139
D. y = 40x + 39

Mathematics

Write the imaginary number using i.-

A. -4
B. 4
C. 4i
D. -4i

Mathematics

Convert the equation to Cartesian coordinates.r = 5

A. x + y = 25 B. x + y = 5 C. x2 - y2 = 25 D. x2 + y2 = 25

Mathematics

Use the fundamental identities and appropriate algebraic operations to simplify the expression.  

A. sin2 x B. 1 C. cos2 x D. -1

Mathematics