2. Find the derivative of f (x) = 5x + 9 at x = 2.
A) 9
B) 5
C) 0
D) 10<span><span>
</span><span>f (x) = 5x + 9
</span><span>The first thing we should do in this case is to derive the function.
</span><span>We have then:
</span><span>f '(x) = 5
</span><span>We now evaluate the function for the value of x = 2.
</span><span>We have then:
</span><span> f '(2) = 5
</span><span>Answer:
</span><span> the derivative of f (x) = 5x + 9 at x = 2 is:
</span><span>B) 5
</span><span>3. Find the derivative of f (x) = 8 divided by x at x = -1.
</span><span>4
</span><span>0
</span><span>8
</span><span> -8
</span><span>f (x) = 8 / x
</span><span>The first thing we should do in this case is to derive the function.
</span><span>We have then:
</span><span>f '(x) = ((0 * x) - (1 * 8)) / (x ^ 2)
</span><span> Rewriting we have:
</span><span> f '(x) = -8 / (x ^ 2)
</span><span>We now evaluate the function for the value of x = -1.
</span><span> We have then:
</span><span>f '(- 1) = -8 / ((- 1) ^ 2)
</span><span>f '(- 1) = -8
</span><span>Answer:
</span><span>The derivative of f (x) = 8 divided by x at x = -1 is:
</span><span>-8
</span><span> 4. Find the derivative of f (x) = negative 11 divided by x at x = 9.
</span><span> A) 11 divided by 9
</span><span>B) 81 divided by 11
</span><span>C) 9 divided by 11
</span><span> D) 11 divided by 81
</span><span> f (x) = -11 / x
</span><span>The first thing we should do in this case is to derive the function.
</span><span> We have then:
</span><span>f '(x) = ((0 * x) - (1 * (- 11))) / (x ^ 2)
</span><span>Rewriting we have:
</span><span> f '(x) = 11 / (x ^ 2)
</span><span>We now evaluate the function for the value of x = 9.
</span><span>We have then:
</span><span> f '(9) = 11 / ((9) ^ 2)
</span><span> f '(9) = 11/81
</span><span>Answer:
</span><span>the derivative of f (x) = negative 11 divided by x at x = 9 is:
</span><span>D) 11 divided by 81
</span><span>5. The position of an object at time is given by s (t) = 3 - 4t. </span><span>Find the instantaneous velocity at t = 8 by finding the derivative.
</span><span>s (t) = 3 - 4t
</span><span>For this case, the first thing we must do is derive the given expression.
</span><span>We have then:
</span><span>s' (t) = - 4
</span><span>We evaluate now for t = 8
</span><span> s' (8) = - 4
</span><span>Answer:
</span><span> the instantaneous velocity at t = 8 by finding the derivative is:
</span><span>s' (8) = - 4</span></span>
Answer: 0.0385
Step-by-step explanation:
Given : Mean :
Variance :
Standard deviation :
Sample size :
To find the probability that the sample mean would differ from the true mean by greater than 42 dollars i.e. less than 24,745 dollars and more than 24,829 dollars.
The formula for z-score :-
For x = 24,745 dollars
For x = 24,829 dollars
The P-value=
Hence, the required probability = 0.0385
So out of 100 questioned 71 said Dallas Cowboys , that means 71% did , now we have to work out 71% of 1200 which is 852
I think the answer is 330.75. Explanation: 42/8= 5.25 and you must do to one side you must do to the other. So 63/5.25= 330.75.