Step-by-step explanation:
Use the Maclaurin expansion:
f(x) = ∑ₙ₌₀°° f⁽ⁿ⁾(0) xⁿ / n!
For example, for f(x) = eˣ:
f(x) = ∑ₙ₌₀°° e⁰ xⁿ / n!
f(x) = ∑ₙ₌₀°° xⁿ / n!
You mean Y=x^2 + 4x + 4, this is quadratic function (convex parabola) which standard form is y=ax^2+bx+c
1. First we will find zero of the function, y=0 or as you like intersection
with x axis.
y=0 =>. x^2+4x+4=0 => this is the square of the binomial ( x + 2)^2 = 0
=> x + 2 = 0 => x= -2 In this case it's a touch point with x axis.
2. Intersection with y axis => If x=0 => y=4 (0, 4)
3. The coordinate of vertex are x= - b/2a = - 4/2 = -2 and y=(4ac-b^2)/4a
y= (4* 1*4 - 4^2)/ 4 = (16-16)/4= 0 Vmin ( -2, 0) this point is at same time zero of the function.
4. Domain:. Dx=R (field of real numbers)
5. Range: y belong to interval ( - infinite, 0) or R-
6. Function's sign y>0 => x belong to intervals (-infinite, -2) U ( -2, +infinite)
7. Function's growth or decline
for x belong interval ( -infinite, -2) => function decline
for x belong interval ( -2, +infinite) => function is growing
Thats all !!!!!!
Answer:
1. True
2. True
3. y = -1
4. False
Step-by-step explanation:
1 -------------------------
sin(-90) = -1
sin(270) = -1
True
2 --------------------------
y = cos(-90)
y = 0
True
3 -------------------------
y = tan(-45)
y = -1
-1
4 ---------------------------
tan(90) cannot be calculated
False
Answer:
Its factorisation method friend. May it helps u.
Answer:
Step-by-step explanation:
<u><em>The correct question is</em></u>
The diagonal of rectangle ABCD measures 2 inches in length.
What is the length of line segment AB?
The picture of the question in the attached figure
we know that
In the right triangle ABD
----> by CAH (adjacent side divided by the hypotenuse)
substitute the given values
Remember that
so