All categories

3 years ago

Given the following vector fields and oriented curves C, evaluate integral F * T ds

Mathematics

1 answer:

My name is Ann [436]3 years ago

5 0

Answer:

F = <-y, x> on the semicircle r(t) = <4 cos t, 4 sin t>, for 0<nb

You might be interested in

Given:

oksian1 [2.3K]

Answer:

9 units

Step-by-step explanation:

By the midsegment theorem,

$AB=\dfrac{KN+LM}{2}$

Since the ratio $LM:KN=1:5,$ then $LM=x,\ KN=5x$ and

$18=\dfrac{x+5x}{2}\\ \\18=\dfrac{6x}{2}\\ \\18=3x\\ \\x=6\\ \\LM=6\ units\\ \\KN=30\ units$

Draw two heights LE and MF. Quadrilateral ELMF is a rectangle, then EF = LM = 6 units.

Trapezoid KLMN is isosceles trapezoid (KL = MN), then KE = FN and

$KE=FN=\dfrac{KN-EF}{2}=\dfrac{30-6}{2}=12\ units$

Consider right triangle KLE. By the Pythagorean theorem,

$KL^2=LE^2+KE^2\\ \\15^2=LE^2+12^2\\ \\LE^2=15^2-12^2\\ \\LE^2=225-144=81\\ \\LE=9\ units$

3 0

3 years ago

Find the compound interest on 30,000 for 2years at 7 percent per annum

hjlf

Answer:

34347

Step-by-step explanation:

Use the formula s=p(1+r/k)^kt

p=30000

r=7% (interest)

k=1 (because of per annum)

t= 2 (years)

Hence: 30000(1+0.07/1)^1(2) = 34347

7 0

2 years ago

how do i get the answer and what is the answer? im looking for a right answer not just someone who types in the mayo mayo

ankoles [38]

Answer:

x = 51°

Step-by-step explanation:

The straight line segment has a total angle of 180°. Therefore, to find the angle inside the triangle that is next to 94°, subtract 94 from 180:

180° - 94° = 86°

That angle is almost a right angle but not quite. Now, to find x, add up the two angles inside the triangle and subtract it from 180°:

43° + 86° = 129°

180° - 129° = 51°

5 0

3 years ago

Use De Moivre’s Theorem to compute the following: <img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%288cos%284%20%5Cpi%20%2F5%

Kipish [7]

Hello here is a solution :

6 0

3 years ago

Which polynomial is prime?

faust18 [17]

X2+16 is the prime <span>polynomial.
x2+16 is the only </span><span>polynomial that couldn't be factored out anymore

x2-36 --> (x-6)(x+6)
x2-7x+12 --> (x-3)(x-4)
x2-x-20 --> (x+5)(x-4)</span>

5 0

3 years ago

Read 2 more answers