(approximation in differences for the derivative) it is possible to approximate the derivative of a function f (x) evaluated at a point xi with the form in differences backwards
(df /dx )*(xi) ≈ f (xi) - f (xi − 1)/( xi - xi − 1 )= ∆f /∆x
if f (x) = 25x3 - 6x2+ 7x - 88 y ∆x = xi - xi − 1 = 0.2 approximate the value of the derivative at xi = 2 and calculate the true error (et)made by the estimate.

Maria donates a fixed amount, a, to a charity each month. if she donates $300 in 12 months, what is the equation for a? a. a + 300 = 12 b. a × 300 = 12 c. a × 12 = 300 d. a + 12 = 300 e. a + 32 = 100

Juliana says that she can use the patterns of equivalent ratios in the multiplication table below to write an infinite number of ratios that are equivalent to 6: 10. which statement explains whether juliana is correct? she is correct because she can multiply 6 and 10 by any number to form an equivalent ratio. she is correct because 6: 10 can be written as 1: 2 and there are an infinite number of ratios for 1: 2. she is not correct because the multiplication table does not include multiples of 10. she is not correct because 6: 10 is equivalent to 3: 5 and there are only 9 ratios in the multiplication table that are equivalent to 3: 5.

Ateacher brought a pack of 17 batteries . each calculator uses 3 batteries . how many calculator can the teacher fill with batteries