4. Choose an initial value that is less than zero. What happens to the value of

1 answer:

6 0

If a function is divergent, its value will start to increase or decrease towards infinity or negative infinity respectively. If the function is convergent, its value starts to converge to a single one as iterations increase.

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if f is a differentiable function and f(0)=-1 and f(4)-3 then which of the following must be true there exists a c in [0,4] wher

iragen [17]

Answer:

True, see proof below.

Step-by-step explanation:

Remember two theorems about continuity:

If f is differentiable at the point p, then f is continuous at p. This also applies to intervals instead of points.
(Bolzano) If f is continuous in an interval [a,b] and there exists x,y∈[a,b] such that f(x)<0<f(y), then there exists some c∈[a,b] such that f(c)=0.

If f is differentiable in [0,4], then f is continuous in [0,4] (by 1). Now, f(0)=-1<0 and f(4)=3>0. Thus, we have the inequality f(0)<0<f(4). By Bolzano's theorem, there exists some c∈[0,4] such that f(c)=0.

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3 years ago

Solve for x or find x

Vanyuwa [196]

Answer:

x = 7

Step-by-step explanation:

Assuming the quadrilateral is a parallelogram, then the diagonals bisect each other.

7x - 8 = 41

7x = 49

x = 7

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