All categories

2 years ago

Consider the sequence.

Mathematics

1 answer:

kirza4 [7]2 years ago

5 0

I wish I can’t help but lol k bye

You might be interested in

The curves r1(t) = 2t, t2, t4 and r2(t) = sin t, sin 5t, 2t intersect at the origin. Find their angle of intersection, θ, correc

masya89 [10]

Answer:

Therefore the angle of intersection is $\theta =79.48^\circ$

Step-by-step explanation:

Angle at the intersection point of two carve is the angle of the tangents at that point.

Given,

$r_1(t)=(2t,t^2,t^4)$

and $r_2(t)=(sin t , sin5t, 2t)$

To find the tangent of a carve , we have to differentiate the carve.

$r'_1(t)=(2,2t,4t^3)$

The tangent at (0,0,0) is [ since the intersection point is (0,0,0)]

$r'_1(0)=(2,0,0)$ [ putting t= 0]

$|r'_1(0)|=\sqrt{2^2+0^2+0^2} =2$

Again,

$r'_2(t)=(cos t ,5 cos5t, 2)$

The tangent at (0,0,0) is

$r'_2(0)=(1 ,5, 2)$ [ putting t= 0]

$|r'_1(0)|=\sqrt{1^2+5^2+2^2} =\sqrt{30}$

If θ is angle between tangent, then

$cos \theta =\frac{r'_1(0).r'_2(0)}{|r'_1(0)|.|r'_2(0)|}$

$\Rightarrow cos \theta =\frac{(2,0,0).(1,5,2)}{2.\sqrt{30} }$

$\Rightarrow cos \theta =\frac{2}{2\sqrt{30} }$

$\Rightarrow cos \theta =\frac{1}{\sqrt{30} }$

$\Rightarrow \theta =cos^{-1}\frac{1}{\sqrt{30} }$

$\Rightarrow \theta =79.48^\circ$

Therefore the angle of intersection is $\theta =79.48^\circ$ .

8 0

2 years ago

A cylindrical jar has a diameter of 9 in. and a height of 12 in. The water surface is 2.5 in. from the top. About how much water

Snowcat [4.5K]

It he correct answer is a

7 0

2 years ago

Height of a parallelogram is half it's base.if it's area is 200 sq cm.find it's height and base.

Scilla [17]

Answer:

Step-by-step explanation:

4 0

3 years ago

A box of cashews peanuts and almonds contains 270 nuts. for every 5 cashews there are 6 peanuts and 7 almonds. How many more are

yKpoI14uk [10]

For every 5 cashews, there are 6 peanuts and 7 almonds.

Means: Cashews:Peanuts:Almonds = 5:6:7

Sum of ratio = 5 + 6 +7 = 18

Cashews = (5/18) * 270 = 75

Peanuts = (6/18) * 270 = 90

Almonds = (7/18) * 270 = 105

So how many more what are there than peanuts?

The number of that nuts Minus the number of peanuts.

= Number of that nuts - 90

5 0

2 years ago

Please help me solve this problem

sergiy2304 [10]

Answer:

-2/3x+6

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers