Answer:
The value of h'(7) = 44 .
Step-by-step explanation:
Given:
f'(7)=9 and g(7)= 5
We have to find : h'(7)
Also,
⇔ 
...equation (i)
Plugging the value of 'x' = 7 in equation (i) the equation can be re-framed as:
⇔ 
⇔
Now plugging the value of f'=(7)=9 and g(7)=5 in the above equation:
⇔ 
⇔ 
⇔ 
So the value of h=(7) = 44 .
De Moivre's theorem uses this general formula z = r(cos α + i<span> sin α) that is where we can have the form a + bi. If the given is raised to a certain number, then the r is raised to the same number while the angles are being multiplied by that number.
For 1) </span>[3cos(27))+isin(27)]^5 we first apply the concept I mentioned above where it becomes
[3^5cos(27*5))+isin(27*5)] and then after simplifying we get, [243 (cos (135) + isin (135))]
it is then further simplified to 243 (-1/ √2) + 243i (1/√2) = -243/√2 + 243/<span>√2 i
and that is the answer.
For 2) </span>[2(cos(40))+isin(40)]^6, we apply the same steps in 1)
[2^6(cos(40*6))+isin(40*6)],
[64(cos(240))+isin(240)] = 64 (-1/2) + 64i (-√3 /2)
And the answer is -32 -32 √3 i
Summary:
1) -243/√2 + 243/√2 i
2)-32 -32 √3 i
Answer:
It is not a factor of x-5.Substitute 5 in the palce of x.Since the value is not equal to x,it is not a factor of x-5.
Step-by-step explanation:
3x + 4y > 12 <span>will have a shaded area below the boundary line</span>
