15: the red tiles are triangle, blue tiles are pentagons
Answer:
(a)Therefore the value of x=
(b) Therefore the value of x 
Step-by-step explanation:
Horizontal tangent line: The first order derivative of a function gives the slope of the tangent of the function. The slope of horizontal line is zero.If the slope of tangent line is zero then the tangent line is called horizontal tangent line.
(a)
Given function is,

Differential with respect to x

For horizontal tangent line, f'(x)=0
3+ 3 cos x= 0
⇒3 cos x=-3
⇒cos x=-1
⇒x = 180° 
Therefore the value of x=
(b)
Given that, the slope is 3.
Then,f'(x)=3
3+ 3 cos x= 3
⇒3 cos x= 3-3
⇒cos x=0
⇒x = 90° 
Therefore the value of x 
Answer:
Part a)
Steve's expression is
For x=3, the expression is equal to 
Part b)
Jasmine's expression is

For x=2, the expression is equal to 
Step-by-step explanation:
Part a)
Let
n-----> the first term
The expression is


substitute
Steve's expression is

Evaluate for x=3

Part b)
Let
n-----> the first term
Jasmine's expression is

Evaluate for x=2
