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klemol [59]
3 years ago
6

Tan(43)-tan(13)/1+tan(43)tan(13)

Mathematics
2 answers:
ipn [44]3 years ago
8 0
The answer is 0.57735.....
kupik [55]3 years ago
5 0

Answer:

tan(13)-tan(2)

Step-by-step explanation:

= Monthsarry namin ng bebe ko

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Find the surface area of the part of the circular paraboloid z=x^2+y^2 that lies inside the cylinder X^2+y^2=1
hichkok12 [17]

Answer:

\mathbf{\dfrac{\pi}{6}[5 \sqrt{5}-1]}

Step-by-step explanation:

Given that:

The surface area (S.A) z = x^2 +y^2

Hence the S.A is of form z = f(x,y)

Then the S.A can be represented with the equation

A(S) = \iint _D \sqrt{1+ (\dfrac{\partial z}{\partial x})^2+ (\dfrac{\partial z}{\partial y})^2} \ dA

where :

D = cylinder x^2 +y^2 =1

In polar co-ordinates:

D = {(r, θ): 0≤ r ≤ 1, 0 ≤ θ ≤ 2π)

Similarly, \dfrac{\partial z}{\partial x} = 2x and \dfrac{\partial z}{\partial y} = 2y

Therefore;

S.A = \iint_D \sqrt{1+4x^2+4y^2} \ dA

= \iint_D \sqrt{1+4(x^2+y^2)} \ dA

= \int^{2 \pi}_{0} \int^{1}_{0}  \sqrt{1+4r^2} \ r \ dr \d \theta

= [\theta]^{2 \pi}_{0} \dfrac{1}{8}\times \dfrac{2}{3}\begin {bmatrix} (1+4r^2)^{\dfrac{3}{2}}\end {bmatrix}^1_0

= 2 \pi \times \dfrac{1}{12}[5^{\dfrac{3}{2}} - 1]

\mathbf{=\dfrac{\pi}{6}[5 \sqrt{5}-1]}

6 0
3 years ago
I need help on this logarithmic equation I need it solved step by step * It asks to solve it in terms of x. *
Rashid [163]

To solve the function in terms of x:

\log _{4^x}2^a=3

find the power of the subscripts of the log

\begin{gathered} \log _{4^x}2^a=3 \\ \log _{2^{2x}}2^a=3 \\ \frac{a}{2x}\log _22=3 \\ \text{where }\log _22=1 \\ \frac{a}{2x}=3 \end{gathered}

cross multiply the expression

\begin{gathered} \frac{a}{2x}=3 \\ a=3(2x) \\ a=6x \end{gathered}

Therefore the correct answer of a = 6x

3 0
1 year ago
Which sentence below best explains the process of upwelling
Andrews [41]

Answer:

Upwelling is a process in which deep, cold water rises toward the surface. ... Upwelling occurs in the open ocean and along coastlines. The reverse process, called “downwelling,” also occurs when wind causes surface water to build up along a coastline and the surface water eventually sinks toward the bottom

7 0
3 years ago
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Work out the mean for the data set below: 5, 3, 3, 6, 2, 5, 2, 4, 7 Give your answer as a fraction in its simplest form.
olga nikolaevna [1]

Answer:

4 1/9

Step-by-step explanation:

Add all of them together. you get 37. Then divide them by how many numbers. You get 4.111 repeating. I then just turned that into a fraction and got 4 1/9

3 0
3 years ago
Problem: -7(2)+y=60, so where do I start?
aev [14]
-7(2)+y=60
-14+y=60
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