2 years ago

One half of a number is eight

Mathematics

1 answer:

sergey [27]2 years ago

8 0

Answer:

Step-by-step explanation:

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Help me pleaseeeeeeeee

madam [21]

Answer:

-2

Step-by-step explanation:

35 / (-7) * (-2) = 10

-5 + (-15) + 3 * 5 = -5

10 / (-5) = -2

5 0

3 years ago

Openstudt what are the coordinates of the turning point for the function f(x) = (x − 2)3 + 1? (−2, −1) (−2, 1) (2, −1) (2, 1)

Dominik [7]

f(x) = (x - 2)^3 + 1

Find the derivative:-

f'(x) = 3(x -2)^2 This = 0 at the turning points:-

so 3(x - 2)^2 =

giving x = 2 . When x = 2 f(x) = 3(2-2)^3 + 1 = 1

Answer is (2, 1)

3 0

2 years ago

Using 4 equal-width intervals, show that the trapezoidal rule is the average of the upper and lower sum estimates for the integr

prisoha [69]

Split up the interval [0, 2] into 4 subintervals, so that

$[0,2]=\left[0,\dfrac12\right]\cup\left[\dfrac12,1\right]\cup\left[1,\dfrac32\right]\cup\left[\dfrac32,2\right]$

Each subinterval has width $\dfrac{2-0}4=\dfrac12$ . The area of the trapezoid constructed on each subinterval is $\dfrac{f(x_i)+f(x_{i+1})}4$ , i.e. the average of the values of $x^2$ at both endpoints of the subinterval times 1/2 over each subinterval $[x_i,x_{i+1}]$ .

So,

$\displaystyle\int_0^2x^2\,\mathrm dx\approx\dfrac{0^2+\left(\frac12\right)^2}4+\dfrac{\left(\frac12\right)^2+1^2}4+\dfrac{1^2+\left(\frac32\right)^2}4+\dfrac{\left(\frac32\right)^2+2^2}4$