Use the product rule to differentiate the first function:
which means
Now use quotient rule for the second one.
so you have
-2 (x+1)= -8x+1
-2x-2= -8x+1
+2x. +2x
-2= -6x+1
-1. -1
-3= -6x
÷-6
x=.5
X=0.5
Answer:
see explanation
Step-by-step explanation:
Given
2x² + x - 1 = 2 ( subtract 2 from both sides )
2x² + x - 3 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 3 = - 6 and sum = + 1
The factors are - 2 and + 3
Use these factors to split the x- term
2x² - 2x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )
2x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(2x + 3) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = -
Answer is in the file below
tinyurl.com/wpazsebu
Part A:
Given that t<span>he
height of a batted ball is modeled by the function
,
where x is the horizontal distance in feet from the point of impact with
the bat, and h is the height of the ball in feet.
At maximum height,
Thus, the maximum height occurs when x = 61 feet and the maximum height is given by
Therefore, the maximum height is 40.21 feet.
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