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3 years ago

The. Approximate value of 200,000×200

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

6 0

Answer:it would be 40000

Step-by-step explanation:

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F⃗ (x,y)=−yi⃗ +xj⃗ f→(x,y)=−yi→+xj→ and cc is the line segment from point p=(5,0)p=(5,0) to q=(0,2)q=(0,2). (a) find a vector pa

DerKrebs [107]

a. Parameterize $C$ by

$\vec r(t)=(1-t)(5\,\vec\imath)+t(2\,\vec\jmath)=(5-5t)\,\vec\imath+2t\,\vec\jmath$

with $0\le t\le1$ .

b/c. The line integral of $\vec F(x,y)=-y\,\vec\imath+x\,\vec\jmath$ over $C$ is

$\displaystyle\int_C\vec F(x,y)\cdot\mathrm d\vec r=\int_0^1\vec F(x(t),y(t))\cdot\frac{\mathrm d\vec r(t)}{\mathrm dt}\,\mathrm dt$

$=\displaystyle\int_0^1(-2t\,\vec\imath+(5-5t)\,\vec\jmath)\cdot(-5\,\vec\imath+2\,\vec\jmath)\,\mathrm dt$

$=\displaystyle\int_0^1(10t+(10-10t))\,\mathrm dt$

$=\displaystyle10\int_0^1\mathrm dt=\boxed{10}$

d. Notice that we can write the line integral as

$\displaystyle\int_C\vecF\cdot\mathrm d\vec r=\int_C(-y\,\mathrm dx+x\,\mathrm dy)$

By Green's theorem, the line integral is equivalent to

$\displaystyle\iint_D\left(\frac{\partial x}{\partial x}-\frac{\partial(-y)}{\partial y}\right)\,\mathrm dx\,\mathrm dy=2\iint_D\mathrm dx\,\mathrm dy$

where $D$ is the triangle bounded by $C$ , and this integral is simply twice the area of $D$ . $D$ is a right triangle with legs 2 and 5, so its area is 5 and the integral's value is 10.

4 0

2 years ago

Christian wants to make an A in his class. There are 5 exams this year, and he has taken 4 of them. His grades were 84, 88, 95,

ioda

Answer:

last test grade=x x ≥ 79 so 79%

Step-by-step explanation:

(84/5)+(88/5)+(95/5)+(104/5)+(x/5) ≥ 90

Simplify: (371/5)+(x/5) ≥ 90

Subtract (371/5) from both sides

Then you have (x/5) ≥ (79/5)

Then multiply both sides by 5 and you have x ≥ 79

P.S. If it was helpful please consider giving me brainliest. =)

3 0

3 years ago

If f(x) = x2 – 25 and g(x) = x – 5, what is the domain of f/g(x)

olga2289 [7]

Domain of fg(x) is determined by the domain of g(x).g(x) has domain such that x is any real number.So domain fg(x) is x such that x is any real number.

6 0

3 years ago

Read 2 more answers

Mila Hawkins purchased a bookshelf for $210.00.

Alenkinab [10]

Answer:

$12.60

Step-by-step explanation:

6% of 210 is .06 x 210 which equals 12.60

6 0

2 years ago

Anyone know how to do trig? Given tan Ф = 4/5, find all other trig functions.

mars1129 [50]

9514 1404 393

Answer:

sin(Ф) = (4/41)√41; csc(Ф) = (√41)/4
cos(Ф) = (5/41)√41; sec(Ф) = (√41)/5
tan(Ф) = 4/5; cot(Ф) = 5/4

Step-by-step explanation:

The mnemonic SOH CAH TOA can help you with three of the functions. Then you need to remember the relations between those and the other three.

Tan = Opposite/Adjacent

tan(Ф) = 4/5

This suggests you can draw a triangle like the one attached that has adjacent side 5 and opposite side 4. Then hypotenuse can be found from the Pythagorean theorem:

AC² = AB² +BC² = 5² +4² = 41

AC = √41 . . . . . hypotenuse

Then the other trig functions are ...

Sin = Opposite/Hypotenuse

sin(Ф) = 4/√41 = (4/41)√41

Cos = Adjacent/Hypotenuse

cos(Ф) = 5/√41 = (5/41)√41

And the reciprocal functions are ...

csc(Ф) = 1/sin(Ф) = (√41)/4

sec(Ф) = 1/cos(Ф) = (√41)/5

cot(Ф) = 1/tan(Ф) = 5/4

7 0

3 years ago