Answer:
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given y = cos² (x² + x³) ....(i)
By using differentiation formulas
a)
b)
<u><em>Step(ii):-</em></u>
Differentiating equation (i) with respective to 'x'
<em>First apply formula </em><em></em>
<em>Now we will apply formula </em>
<em>Again apply formula </em><em></em>
we know that trigonometric formulas
Sin 2θ = 2 sinθ cosθ
<u><em>Final answer:-</em></u>
3.1 x 10 to the tenth power
The x-values that will make the output values of the floor and ceiling functions equal are;
Option A: -8
Option D: 0
The complete question is;
At which x-values are the output values of the floor function g(x) = ⌊x⌋ and the ceiling function h(x) = ⌈x⌉ equal? Check all that apply.
A) –8
B) –5.2
C) –1.7
D) 0
E) 2.4
When it comes to floor functions and ceiling functions, they are always equal to each other when the x value is an integer.
Now, looking at the giving options the only integers we have are -8 and 0.
Thus, the only values in the options that would make the output values of the floor function and ceiling function equal are -8 and 0.
Read more on floor function and ceiling function at; brainly.com/question/7321190
Answer:
-5m - 14
Step-by-step explanation: