Answer:
f'(x) = 5x^4 + 2x + 3x^2
Step-by-step explanation:
To find the derivative of this equation we can do two things.
One method is to use the product rule, which states that when f(x) consists of two functions multiplied to each other (meaning f(x) = g(x) * h(x)), the derivative is f'(x) = g'(x)*h(x) + g(x)*h'(x). In simple language, the derivative is found by finding the derivative of x² + 1 and multiplying it with the normal function of x³ + 1, after which you add the product of the nnormal function of x² + 1 and the derivative of x³ + 1.
it might be clearer when I show you:
If you are not familiar with this rule you can first write out the function and then use the basic rule:
If you need any further help please say so in the comments! I hope this helps! If the steps seem complicated, I suggest you could revise expanding brackets (the first step of the second method) and the basic rules of deriving, but feel free to reach out if you struggle afterwards still
Answer:
A) 3/4
Step-by-step explanation:
Given: Both circle A and circle B have a central angle measuring 50°.
The area of circle A's sector is 36π cm2.
The area of circle B's sector is 64π cm2.
We know, area of the circle= 
lets assume the radius of circle A be "
" and radius of circle B be "
"
As given, Area of circle A and B´s sector is 36π and 64π repectively.
Now, writing ratio of area of circle A and B, to find the ratio of radius.
⇒
Cancelling out the common factor
⇒ 
⇒ 
Taking square on both side.
Remember; √a²= a
⇒ 
⇒ 
⇒
Hence, ratio of the radius of circle A to the radius of circle B is 3:4 or 3/4.
Answer: D
Step-by-step explanation:
Sketch and label the sampling distribution for the sample proportion of games containing a big bang, according to the Central Limit Theorem, assuming that the grandfather's null hypothesis is true. Also check whether or not the conditions hold for the CLT to apply. Of the 95 games in our sample, 47 contained a big bang.
Label the number line, put a filled in circle on 2 and make it go left. Then put a clear circular on 2 and make it go right.
