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1 year ago

Write the expression as the sine, cosine, or tangent of an angle.

Mathematics

1 answer:

Naily [24]1 year ago

4 0

Step-by-step explanation:

the formula is :

tan (a+b) =

(tan (a) + tan (b)) / ( 1 - tan (a) . tan (b))

therefore

tan (π/5) + tan (π/2)) / (1-tan (π/5) tan (π/2))

= tan (π/5 + π/2)

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Evaluate the surface integral. s x ds, s is the part of the plane 18x + 9y + z = 18 that lies in the first octant.

IceJOKER [234]

In the first octant, the given plane forms a triangle with vertices corresponding to the plane's intercepts along each axis.

$(x,0,0)\implies 18x+9\cdot0+0=18\implies x=1$
$(0,y,0)\implies 18\cdot0+9y+0=18\implies y=2$
$(0,0,z)\implies 18\cdot0+9\cdot0+z=18\implies z=18$

Now that we know the vertices of the surface $\mathcal S$ , we can parameterize it by

$\mathbf s(u,v)=\langle(1-u)(1-v),2u(1-v),18v\rangle$

where $0\le u\le1$ and $0\le v\le1$ . The surface element is

$\mathrm dS=\|\mathbf s_u\times\mathbf s_v\|\,\mathrm du\,\mathrm dv=2\sqrt{406}(1-v)\,\mathrm du\,\mathrm dv$

With respect to our parameterization, we have $x(u,v)=(1-u)(1-v)$ , so the surface integral is

$\displaystyle\iint_{\mathcal S}x\,\mathrm dS=2\sqrt{406}\int_{u=0}^{u=1}\int_{v=0}^{v=1}(1-u)(1-v)^2\,\mathrm dv\,\mathrm du=\frac{\sqrt{406}}3$

5 0

2 years ago

If A=N , B=W then A-B is : * { } N W None

german

I’m going with none because it would just be N-W= blank. Is the blank n or w. I mean it could be one of those but I don’t think you know enough about the question for it to be N or W. So I would say none. Sorry if I’m wrong.

8 0

2 years ago

How would you factor 12b^4+3b^2

Alex777 [14]

Answer:

3b²(4b²+1)

Step-by-step explanation:

You can factor out a 3b²

3b²(4b²+1)

7 0

1 year ago

Read 2 more answers

Match the expression with its name. 7x4 – 5x + 4

Anettt [7]

Answer:

algebraic expression

28-20=8

4 0

2 years ago

The parent function f(x) = log4x has been transformed by reflecting it over the x-axis, stretching it vertically by a factor of

Snezhnost [94]

The reflection over the x-axis is given by the transformation:
f₁(x) = - f(x)
Therefore, the first step is:
f₁(x) = - log(4x)

Stretching by a factor n along the y-axis is given by the transformation:
f₂(x) = n · f₁(x)
Therefore we get:
f₂(x) = -3 · log(4x)

Shifting a function down of a quantity n is given by:
f₃(x) = f₂(x) - n
Therefore:
f₃(x) = -3·log(4x) - 2

Hence, the correct answer is C) g(x) = -3·log(4x) - 2

6 0

2 years ago