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2 years ago

Select the correct answer.

Mathematics

2 answers:

Sholpan [36]2 years ago

8 0

Answer:

a and b maybe

Step-by-step explanation:

kobusy [5.1K]2 years ago

7 0

I would say B٫ if its wrong then try A.

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Math question #1 please show steps

-Dominant- [34]

Answer:

Step-by-step explanation:

An approximation of an integral is given by:

$\displaystyle \int_a^bf(x)\, dx\approx \sum_{k=1}^nf(x_k)\Delta x\text{ where } \Delta x=\frac{b-a}{n}$

First, find Δx. Our a = 2 and b = 8:

$\displaystyle \Delta x=\frac{8-2}{n}=\frac{6}{n}$

The left endpoint is modeled with:

$x_k=a+\Delta x(k-1)$

And the right endpoint is modeled with:

$x_k=a+\Delta xk$

Since we are using a Left Riemann Sum, we will use the first equation.

Our function is:

$f(x)=\cos(x^2)$

Therefore:

$f(x_k)=\cos((a+\Delta x(k-1))^2)$

By substitution:

$\displaystyle f(x_k)=\cos((2+\frac{6}{n}(k-1))^2)$

Putting it all together:

$\displaystyle \int_2^8\cos(x^2)\, dx\approx \sum_{k=1}^{n}\Big(\cos((2+\frac{6}{n}(k-1))^2)\Big)\frac{6}{n}$

Thus, our answer is C.

*Note: Not sure why they placed the exponent outside the cosine. Perhaps it was a typo. But C will most likely be the correct answer regardless.

5 0

3 years ago

The admission fee at a county fair is $2 for children and $4 dollars for adults. Suppose that on the last day, 1600 people enter

makvit [3.9K]

2 cause ik I’m right

7 0

2 years ago

Can somebody solve this please

blondinia [14]

What’s the question?

4 0

2 years ago

If £2000 is placed into a bank account that pays 3% compound interest per year,

klemol [59]

Answer:

£2,121.80

Step-by-step explanation:

To solve this problem, we can use the compound interest formula:

$A=P(1+\frac{r}{n} )^{nt}$

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, change 3% into a decimal:

3% -> $\frac{3}{100}$ -> 0.03

Now, plug in the values:

$A=2,000(1+\frac{0.03}{1})^{1(2)}$

$A=2,121.80$

Your answer is £2,121.80

6 0

3 years ago

Simplify: 20(1/5x - 3/4)+9x

Goryan [66]

Simplified answer is: 13x - 15

7 0

3 years ago

Read 2 more answers