Step 1: evaluate f(x+h) and f(x)
We have


And, of course,

Step 2: evaluate f(x+h)-f(x)

Step 3: evaluate (f(x+h)-f(x))/h

Step 4: evaluate the limit of step 3 as h->0

So, we have

H and a
because you combine like terms for the first and then fill in for the second
Answer:
See below.
Step-by-step explanation:
5y - 2y + 4 = 10
5y - 2y = 6
3y = 6
y = 2
Check:
5y - 2y + 4 = 10
5(2) - 2(2) + 4 = 10
10 - 4 + 4 = 10
6 + 4 = 10
10 = 10
The value of y = 2
Let us take a random triangle we call
for a better understanding of the solution provided here.
A diagram of the
is attached here.
The rule to be applied here is the relationship between the side lengths of a triangle and the angles opposite those sides. This relationship states that:
In a triangle, the shortest side is always opposite the smallest interior angle
and the longest side is always opposite the largest interior angle.
Let us verify this using the diagram attached.
As per the diagram, the smallest interior angle is
and the side opposite to it,
has the smallest side just as the relationship had suggested.
Likewise, the largest interior angle is
and the side opposite to it, LM=45.7 is the longest side just as the relationship had suggested.
This rule/relationship can be applied to any triangle in question.
Answer:
x = 90°
Step-by-step explanation:
Using the identity
cos²x = 1 - sin²x
Given
cos²x - sin x + 1 = 0
1 - sin²x - sin x + 1 = 0
- sin²x - sin x + 2 = 0 ← quadratic equation in sin x ( multiply through by - 1 )
sin²x + sin x - 2 = 0 ← in standard form
(sinx + 2)(sinx - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
sinx + 2 = 0 ⇒ sinx = - 2 ← has no solution as - 1 ≤ x ≤ 1
sinx - 1 = 0 ⇒ sinx = 1 ⇒ x = 90°
solution is x = 90°