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r-ruslan [8.4K]
2 years ago
8

PLEASE HELP ANSWER ASAP!

Mathematics
1 answer:
miv72 [106K]2 years ago
5 0

Answer:

Step-by-step explanation:

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You are given g(x)=4x^2 + 2x and
Strike441 [17]

Answer:

324

Step-by-step explanation:

Given:

g(x)=4x^2+2x\\ \\f(x)=\int\limits^x_0 {g(t)} \, dt

Find:

f(6)

First, find f(x):

f(x)\\ \\=\int\limits^x_0 {g(t)} \, dt\\ \\=\int\limits^x_0 {(4t^2+2t)} \, dt\\ \\=\left(4\cdot \dfrac{t^3}{3}+2\cdot \dfrac{t^2}{2}\right)\big|\limits^x_0\\ \\=\left(\dfrac{4t^3}{3}+t^2\right)\big|\limits^x_0\\ \\= \left(\dfrac{4x^3}{3}+x^2\right)-\left(\dfrac{4\cdot 0^3}{3}+0^2\right)\\ \\=\dfrac{4x^3}{3}+x^2

Now,

f(6)\\ \\=\dfrac{4\cdot 6^3}{3}+6^2\\ \\=288+36\\ \\=324

4 0
3 years ago
Please Help ASAP!!
Brilliant_brown [7]

Answer:

The probably genotype of individual #4 if 'Aa' and individual #6 is 'aa'.

Step-by-step explanation:

In a non sex-linked, dominant trait where both parents carry and show the trait and produce children that both have and don't have the trait, they would each have a genotype of 'Aa' which would produce a likelihood of 75% of children that carry the dominant traint and 25% that don't.  Since the child of #1 and #2, #5, does not exhibit the trait, nor does the significant other (#6), then they both must have the 'aa' genotype.  However, since #4 displays the dominant trait received from the parents, it is more likely they would have the 'Aa' genotype as by the punnet square of 'Aa' x 'Aa', 50% of their children would have the 'Aa' phenotype.  

4 0
3 years ago
Please I need help of this one :)
Harlamova29_29 [7]

Answer:

128.605 m²

Step-by-step explanation:

Find the areas of the top triangle, and the bottom triangle and add them together.

The top triangle consists of 2 smaller triangles.  Look at the larger one, the height is 4.93 and the base is 17.  The area is...

A = (1/2)(17)(4.93)

   A = 41.905 m²

The bottom triangle consists of 2 smaller triangles.  Look at the larger one, the height is 10.2 and the base is 17.   The area is...

A = (1/2)(17)(10.2)

  A = 86.7 m²

The total area is 41.905 m² + 86.7 m² = 128.605 m²

5 0
2 years ago
Write the trigonometric expression in terms of sine and cosine, and then simplify.
katrin2010 [14]
Hello,

tan t /(sec t -cos t)= sin t/(cos t *(1/cos t -cos t))
=sin t/(cos t*(1-cos ²t)/cos t))
=sin t/sin² t=1/sin t [or=cosec t.]

3 0
3 years ago
What is x^2 equal to? (Please don't tell me it is a graph) Is it equal to -x, 2x, or something?
Lera25 [3.4K]
x^{2} is equal to 2x, since it is the derivative of x^{2}.
3 0
3 years ago
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