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>
<h2>
Answer:</h2>
The number of possible arrangements is : 120
<h2>
Step-by-step explanation:</h2>
We know that in order to find the different arrangements which are possible we need to use the method of permutation.
The arrangement of a given word is calculated as the ratio of the factorial of number of letters to the product of factorial of numbers the number of times each letter is repeating.
The word is given to be:
ALASKA
There are a total of 6 letters in the given word
Out of which a letter "A" is repeating 3 times.
Hence, the number of arrangements possible are:
Y = x - 6
x = -4
plug in the second equation in to the first
y = -4 - 6
y = -1(4 + 6)
y = -1(10)
y = -10
The solution to the system is not listed in the options. The correct solution is (-4, -10).
Answer:
3 4/5
Step-by-step explanation:
divide 19 by 5 which gets you that as a decimal
Answer:
? = 3×8/12 = 24/12 = 2
Step-by-step explanation:
Here it is, it is correct.
