Solve the problem.Use Newton's method to estimate the one real solution of   Start with  and then find x2.

What will be an ideal response?


f(x) = -3x3  - 2x - 1, f'(x) = -9(x2) - 2

 x= -0.5
xn + 1 = xn -  = 
therefore x2 = -0.4118

Mathematics

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Use the fundamental identities to simplify the expression.tan2? csc2?

A. sec2? B. sin ? C. cos3? D. tan2?

Mathematics

Find a formula for the nth term of the arithmetic sequence whose first term a and common difference d are given.a = , d = 

A. an = n - 
B. an = n + 
C. an = n + 
D. an = n + 

Mathematics

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.log3

A. log3(x - 6) - 5log3x B. log3(x - 6) -log3x C. 5log3x -log3(x - 6) D. log3(x - 6) + 5log3x

Mathematics

Write the equation that results in the desired transformation.The absolute value function, vertically stretched by a factor of 4.9 and reflected across the x-axis

A. y = -4.9
B. y = -
C. y = 4.9
D. y = 4.9

Mathematics