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3 years ago

Problem 4

Mathematics

2 answers:

Andreyy893 years ago

4 0

Answer:

A) 480

B)24in

Step-by-step explanation:

Hope it helps. I

liq [111]3 years ago

3 0

Step-by-step explanation:

21343tyhy5jy5

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How much interest is earned on a pricipal of $267 invested at an interest rate of %6 for six years?

Marianna [84]

The correct answer is, 16.02.

5 0

3 years ago

SOLUTION We observe that f '(x) = -1 / (1 + x2) and find the required series by integrating the power series for -1 / (1 + x2).

Ann [662]

Answer:

Required series is:

$\int{\frac{-1}{1+x^{2}} \, dx =-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....$

Step-by-step explanation:

Given that

$f'(x) = -\frac{1}{1 + x^{2}}$ ---(1)

We know that:

$\frac{d}{dx}(tan^{-1}x)=\frac{1}{1+x^{2}}$ ---(2)

Comparing (1) and (2)

$f'(x)=-(tan^{-1}x)$ ---- (3)

Using power series expansion for $tan^{-1}x$

$f'(x)=-tan^{-1}x=-\int {\frac{1}{1+x^{2}} \, dx$

$= -\int{ \sum\limits^{ \infty}_{n=0} (-1)^{n}x^{2n}} \, dx$

$= -\sum{ \int\limits^{ \infty}_{n=0} (-1)^{n}x^{2n}} \, dx$

$=-[c+\sum\limits^{ \infty}_{n=0} (-1)^{n}\frac{x^{2n+1}}{2n+1}]$

$=C+\sum\limits^{ \infty}_{n=0} (-1)^{n+1}\frac{x^{2n+1}}{2n+1}$

$=C-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....$

$tan^{-1}(0)=0 \implies C=0$

Hence,

$\int{\frac{-1}{1+x^{2}} \, dx =-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....$

7 0

4 years ago

Need answer this urgent and fast

Karo-lina-s [1.5K]

Answer:

Step-by-step explanation:

Hey There!

so this is a parallelogram so opposite angles are congruent

So basically what i am saying is that angle P is congruent to angle R

So we need to solve for x

We know that angle P and angle Q are supplements meaning that they will add up to 180

so we setup the equation

$180=3x+5+8x-12\\$

step 1 combine like terms

$3x+8x=11x\\5-12=-7$

now we have

180=11x-7

step 2 add 7 to each side

180+7=187

-7+7 cancels out

now we have

187=11x

step 2 divide each side by 11

187/11=17

x=17

now we plug in 17 to (3x+5) to get the value of angle R

17x3=51

51+5=56

therefore m∠R = 56

5 0

3 years ago

Trina and Seth walk 3 miles south and 5 miles east to get from their canoe to their tent. If a walkway existed between the canoe

anygoal [31]

Answer:

6 miles

Step-by-step explanation:

The formula to find the hypotenuse of a right triangle is as follows,

$\sqrt{a^{2} } +b^{2}$

The line is supposed to be longer on the rooting but it won't go any longer so we just have to make do.

Anyways, a is 1 side length and b is the other. Doesn't matter which one you make b or a.

Now you just plug in and solve

$\sqrt{9} +25$ (that's after you square it)

add them

$\sqrt{34}$

simplify

5.83095189485

you can just stop at the hundredths place

5.83

You can estimate that it's about 6

and 6 is your answer

6 0

3 years ago

there are 18 male students and 13 female students in form 1 orchid. each male student pays RM 8 for each sports shirt and each f

pychu [463]

Step-by-step explanation:

18×RM 8= RM 144

13× RM 11=RM 143

RM 144+143= RM 287

are u Malaysian too? coz I'm one hehe

8 0

3 years ago

Read 2 more answers