Answer:
4
Step-by-step explanation:
h(7)= 7²-1= 49-1= 48
f(h(7))= 48/3 -12
= 16-12
= 4
Answer:
298565
Step-by-step explanation:
Given problem,
1415 × 211
∵ Direct multiplication is quite tough so we can split the number into smaller one for making the multiplication easier,
= (1400 + 15) × (210 + 1)
By using distributive property,
= 1400 × (210 + 1) + 15(210 + 1)
Again by distributive property,
= 1400 × 210 + 1400 + 15 × 210 + 15
Simplifying,
= 294000 + 1400 + 3150 + 15
= 298565
Hence, 1415 × 211 = 298565
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 