I have no idea what to do. Pls help me

Answers

Answer 1

Answer: for the first one all u do is 5 times 2 = 10 + 2 = 12. the denominator stays the same so 12/5. then you do the same thing to the other fraction. 3 times 1 = 3 + 2 = 5. the denominator stays the same so your fraction is 5/3. so the answer is 12/5 times 5/3.

hope this helps !

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Find the length of the curve. R(t) = 2 i + t2 j + t3 k, 0 ≤ t ≤ 1

Answers

Length of a curve is the length of its plot its curve. The length of the given curve for given range of t is: L = 1.44 units approx.

How to find the length of a curve?

If the curve has position vector p(x) for value of x ranging from x = a to x = b,

then, the curve's length is calculated as:

$L = \int_a^b ||p'(x)||dx\n$ units.

For the given case, we have:

Position vector = $R(t) = 2\hat i + t^2 \hat j + t^3 \hat k$

Its differentiation gives:

$R'(t) = 2t\hat j + 3t^2\hat k$

Its non negative magnitude is: ||R'(t)|| = $√((2t)^2 + (3t^2)^2) = t√(4+9t^2)$

Thus, as t ranges from a = 0 to b = 1, thus, length of the curve is:

$L = \int_0^1 (t√(4+9t^2))dt\n\n\text{Let v = 4+9}t^2, \text{then dv = 18tdt}\nand\nt=0\implies v = 4\nt=1 \implies v = 13\nThus,\nL = \int_4^(13)((√(v))/(18))dv = (1)/(18) [(2(v)^(3/2))/(3)]^(13)_4 \approx (38.87)/(27) \approx 1.44 \: \rm units$

Thus,

The length of the given curve for given range of t is: L = 1.44 units approx.

Learn more about length of the curve here:

brainly.com/question/4464059

curve equation is

$\n \vec{R}\left ( t \right ) = 2\hat{i}+t^(2)\hat{j} + t^(3)\hat{k}$ ,0≤ t≤ 1

now taking the differentiation

$\n{R}'t = 2t\hat{i} + 3t^(2)\hat{j}$

now taking the modulus

$\left \| {R}'(t) \right \|=$ $\sqrt{4t^(2) +9t^(4)}$

= $\sqrt{4 + 9 t^(2) } .t$

now taking the integration

length of the curve = $\n\int t\sqrt{4 + 9 t^(2)} dt\n$

now put the value v= 4 + 9t²

dv= 18 tdt

now put this value in the above equation

we get

length of the curve = $\n(1)/(18)\int √(v)dv\n$

now taking integation we get and put the value of the v

we get

= $(1)/(18)$ × $(2)/(3)$ × $(4 + 9t^(2) )^{(3)/(2) }$

= $(1)/(27) ( 4 + 9 t^(2) )^{(3)/(2) }$

now find out the length of the curve in the interval from 0 to 1.

length of the curve $= (1)/(27) (13^{(3)/(2)} -4^{(3)/(2)} )\n=(1)/(27) (13√(13) -8)$

Hence proved

Find the product of 3,356 and 7

Answers

Final answer:

The product of 3,356 and 7 is 23,492.

Explanation:

To find the product of 3,356 and 7, you can multiply the two numbers together. So, 3,356 multiplied by 7 equals 23,492.

Learn more about Multiplication here:

brainly.com/question/35502092

the letters for the words lake Okeechobee are placed in a jar. What is the probability a vowel is chosen

Answers

There are 6 vowels out of 10 letters in this word so
Prob( a vowel is chosen) = 6/10 or 3/5 answer

O A. (-2, 1)
O B. (-2,-1)
O c. (-1,-2)
O D. (1.-2)

Answers

Answer:

the answer is C -1-2 to the equation

Please Help! I'm lost, in a maze and I can't find my way out.

Answers

Show us the maze and we will help

If for sets A and B there exists a injective function but not bijective function from A to B then a) Cardinality of A is stricly greater than B b) Cardinality of B is strictly greater than A c) Cardinality of B is equal to A d) None of the mentioned

Answers

Ans. b) Cardinality of B is strictly greater than

What are sets?

In mathematics, a group or collection of certain items is referred to as a set.

Given, for sets A and B there exists an injective function but not a bijective function from A to B. If there is no bijective function from A to B, then B's cardinality is strictly bigger than A's since certain items in B have no preimage in A.

Therefore answer b) Cardinality of B is strictly greater than is correct

learn more about sets here:

brainly.com/question/18877138

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