All categories

2 years ago

[SCREENSHOT INCLUDED] Which of the following is the best estimate of f '(2) based on this table of values?

Mathematics

1 answer:

mel-nik [20]2 years ago

6 0

Using derivatives, it is found that the best estimate of f '(2) based on this table of values is of 10.

The rate of change from x = 0 to x = 2 is given by:

$r_1 = \frac{2 - (-16)}{2 - 0} = \frac{18}{2} = 9$

From x = 2 to x = 4, it is given by:

$r_2 = \frac{24 - 2}{4 - 2} = \frac{22}{2} = 11$

The average of these rates is:

$A = \frac{r_1 + r_2}{2} = \frac{9 + 11}{2} = 10$

Hence, the best estimate of f '(2) based on this table of values is of 10.

To learn more about derivatives, brainly.com/question/18590720

You might be interested in

WHAT IS 11/6 simplified I CANT DO THIS MATH IT IS TOOOOO HARDDDDD JK IM JUST TO LAZY >:( thanks

erma4kov [3.2K]

Answer:

It can't be simplified.

6 0

3 years ago

Which shapes can be drawn with two opposite angles equal to 105°

sertanlavr [38]

Answer:

see the explanation

Step-by-step explanation:

we know that

A shape with two opposite angles equal to 105° could be a quadrilateral, a parallelogram, a rhombus or a trapezoid

Because

A quadrilateral: A quadrilateral is a four-sided polygon. The sum of the interior angles in any quadrilateral must be equal to 360 degrees

If the quadrilateral have two opposite angles equal to 105°, then the sum of the other two interior angles must be equal to

$360^o-2(105^o)=150^o$

A parallelogram: A Parallelogram is a flat shape with opposite sides parallel and equal in length. Opposite angles are congruent and consecutive angles are supplementary

If the parallelogram have two opposite angles equal to 105°, then the measure of each of the other two congruent interior angles must be equal to

$180^o-105^o=75^o$

A rhombus: A Rhombus is a flat shape with 4 equal straight sides. A rhombus looks like a diamond. All sides have equal length. Opposite sides are parallel. Opposite angles are congruent and consecutive angles are supplementary

If the Rhombus have two opposite angles equal to 105°, then the measure of each of the other two congruent interior angles must be equal to

$180^o-105^o=75^o$

A trapezoid: A trapezoid is a 4-sided flat shape with straight sides that has a pair of opposite sides parallel

If the trapezoid have two opposite angles equal to 105°, then the sum of the other two interior angles must be equal to

$360^o-2(105^o)=150^o$

4 0

3 years ago

Determine whether each of these functions is O(x^2 ).

otez555 [7]

Answer:

(a) no
(b) yes
(c) no
(d) no

Step-by-step explanation:

"Of the order x^2" means the dominant behavior matches that of x^2 as x gets large. For polynomial functions, the dominant behavior is that of the highest-degree term.

For other functions, the dominant behavior will typically be governed in some other way. Here, the rate of growth of the x·log(x) function is determined by log(x), which has decreasing slope as x increases.

Only answer selection B has a highest-degree term of x^2, so only that one exhibits O(x^2) behavior.

3 0

3 years ago

Read 2 more answers

What is the radius of a circle whose equation is x2 + (y – 8)2 = 25?

Dafna11 [192]

Use photo math :) and you will get your answer

8 0

3 years ago

Read 2 more answers

Find X Simplify answer type exact number or use radicals as needed

satela [25.4K]

On a right triangle, to find one missing side you can use this equation
a^2 + b^2 = c^2

a and b are the sides next to the right angle, and c is the hypotenuse (side not connected to right angle).

You first need to find the length of the dotted line before finding x. This is because to be able to use the above formula, you have to know the length of two out of three of the sides.

To solve the length of the dotted line, note that it also makes a triangle with the 5 unit line and the 5 √5 unit line. You can plug these numbers into the formula.
(5)^2+b^2=(5 √5)^2
25+b^2=125
b^2=100
b=10

Now that you know the length of the dotted line is 10 units, you can now solve for x

(20)^2+(10)^2=x^2
400+100=x^2
500=x^2
x= √500, which equals 22.361

5 0

3 years ago