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3 years ago

What is the number 56, 893, 000 in word form

Mathematics

1 answer:

Finger [1]3 years ago

7 0

Fifty six million eight hundred ninety three thousand

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Someone help me with this

dlinn [17]

Answer:

x=58

Step-by-step explanation:

I think it's helps you

6 0

3 years ago

Use the Fundamental Theorem for Line Integrals to find Z C y cos(xy)dx + (x cos(xy) − zeyz)dy − yeyzdz, where C is the curve giv

Harrizon [31]

Answer:

The Line integral is π/2.

Step-by-step explanation:

We have to find a funtion f such that its gradient is (ycos(xy), x(cos(xy)-ze^(yz), -ye^(yz)). In other words:

$f_x = ycos(xy)$

$f_y = xcos(xy) - ze^{yz}$

$f_z = -ye^{yz}$

we can find the value of f using integration over each separate, variable. For example, if we integrate ycos(x,y) over the x variable (assuming y and z as constants), we should obtain any function like f plus a function h(y,z). We will use the substitution method. We call u(x) = xy. The derivate of u (in respect to x) is y, hence

$\int{ycos(xy)} \, dx = \int cos(u) \, du = sen(u) + C = sen(xy) + C(y,z)$

(Remember that c is treated like a constant just for the x-variable).

This means that f(x,y,z) = sen(x,y)+C(y,z). The derivate of f respect to the y-variable is xcos(xy) + d/dy (C(y,z)) = xcos(x,y) - ye^{yz}. Then, the derivate of C respect to y is -ze^{yz}. To obtain C, we can integrate that expression over the y-variable using again the substitution method, this time calling u(y) = yz, and du = zdy.

$\int {-ye^{yz}} \, dy = \int {-e^{u} \, dy} = -e^u +K = -e^{yz} + K(z)$

Where, again, the constant of integration depends on Z.

As a result,

$f(x,y,z) = cos(xy) - e^{yz} + K(z)$

if we derivate f over z, we obtain

$f_z(x,y,z) = -ye^{yz} + d/dz K(z)$

That should be equal to -ye^(yz), hence the derivate of K(z) is 0 and, as a consecuence, K can be any constant. We can take K = 0. We obtain, therefore, that f(x,y,z) = cos(xy) - e^(yz)

The endpoints of the curve are r(0) = (0,0,1) and r(1) = (1,π/2,0). FOr the Fundamental Theorem for Line integrals, the integral of the gradient of f over C is f(c(1)) - f(c(0)) = f((0,0,1)) - f((1,π/2,0)) = (cos(0)-0e^(0))-(cos(π/2)-π/2e⁰) = 0-(-π/2) = π/2.

3 0

3 years ago

The top of a ladder rests at a height of 15 feet against the side of a house. If the base of the ladder is 6 feet from the house

Ksju [112]

90
15 x 6 = 90
You need to multiply

6 0

3 years ago

Read 2 more answers

Simplify 3^4*x*(3/x^2)^-2

astraxan [27]

I think the answer is x^4

6 0