Convert to vertex form:-
f(x) = 4(x^2 + 2x) + 7
= 4[(x + 1)^2 - 1] + 7
= 4(x + 1)^2 + 3
The axis will be the vertical line x = -1
This equation is separable, but doesn't have an elementary antiderivative. However, we can use the fundamental theorem of calculus to find a solution in terms of an integral:
If an equation has an answer such as 1=1 or y=y the equation has infinite answers
Answer:
y= -3x+1
Step-by-step explanation:
Let's start with the y-intercept (initial value). The y-intercept is where the line intersects the y-axis, so the x value should be 0. Here, the y-intercept is (0,1).
The slope is equivalent to the rise over run. We rise three and go to the left 1 which gives us a slope of negative 3 since we went to the left instead of the right.
Equation for a line:
y=mx+b where m is the slope and b is the y-intercept.
We plug in the slope and y-intercept in and get...
y= -3x+1
Answer:
we have to find the quotient and the remainder when (x³ + 5x + 3x² + 5x³ + 3) is divided by (x² + 4x + 2) ♥9 dividend = x² + 4x + 2 using Euclid division lemma, x² + 4x + 2) x² + 5x³ + 3x² + 5x + 3(x³ - 4x² + 19x - 65 x² + 4x² + 2x³ - 4x² + 3x² + 3x² - 4x*-16x³8x² 19x³ + 11x² + 5x 19x³ +76x² + 38x -65x²-33x + 3 -65x²-260x - 130 +227x + 133 Therefore the quotient is x² - 4x + 19x - 65 and remainder is 227x + 133