For question 4 the answer is yes and for question 5 the answer is false
Answer:
Since the value of f(0) is negative and the value of f(1) is positive, then there is at least one value of x between 0 and 1 for which f(x) =0.
Step-by-step explanation:
The equation f(x) given is:

For x = 0. the value of the expression is:

For x = 1, the value of the expression is:

Since the value of f(0) is negative and the value of f(1) is positive, then there is at least one value of x between 0 and 1 for which f(x) =0.
In other words, there is at least one solution for the equation between x=0 and x=1.
Answer:
$9.68
Step-by-step explanation:
64.54 * 0.15 = 9.68
<span>f(x+5/4) means that f(x) is translated 5/4 units left.
f(x-5/4) means that f(x) is translated 5/4 units right.
f(x)-5/4 means that f(x) is translated 5/4 units down.
f(x)+5/4 means that f(x) is translated 5/4 units up.
f(x*5/4) means that f(x) is compressed by a factor of 5/4.
f(x/5/4) means that f(x) is stretched by a factor of 5/4.</span>
If

is conservative, then there is a scalar function

such that

Setting the first components equal to one another, we can integrate both sides to find

Differentiating both sides with respect to

gives



so that

By the fundamental theorem of calculus, we have that