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2 years ago

3. What is the solution to the system of equations?

Mathematics

1 answer:

olga55 [171]2 years ago

3 0

I think the answer is B but i could be wrong

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What is the derivative of the following function? f(x) = 4x^6/cos^5(x)

KIM [24]

Answer:

$f'(x) = \frac{24x^{5} \cos x + 20x^{6}\sin x}{\cos^{6}x }$

Step-by-step explanation:

We have to find the derivative of the following function:

$f(x) = \frac{4x^{6} }{\cos^{5} x }$

Now, differentiating both sides with respect to x we get,

$f'(x) = \frac{\cos^{5}x (24x^{5}) - 4x^{6}(5\cos^{4}x )(- \sin x)}{(\cos^{5}x )^{2}}$

⇒ $f'(x) = \frac{ 24x^{5} \cos x + 20 x^{6}\sin x}{\cos^{6}x }$ (Answer)

{Since, we know that, $\frac{d(mx^{n} )}{dx} = m \times n x^{(n - 1)}$ and $\frac{d(\cos^{n} x)}{dx} = n \cos^{(n - 1)} x(- \sin x)$ }

5 0

3 years ago

The recursive rule for a sequence is shown.an=an−1+9a1=21 what is the explicit rule for this sequence?

bixtya [17]

Answer:

Meaning of Explicit rule , is the general rule for a sequence.

The given sequence is defined as,

$a_{n}=a_{n-1}+9a_{1}-21$ ----(1)

Common Difference(d) of an airthmetic Sequence= N th term - (N-1) th term

$=a_{n}-a_{n-1}\\\\=a_{n-1}-a_{n-2}$

Equation 1 can be written as,

$a_{n}-a_{n-1}=9 a_{1}-21\\\\ d =9a_{1}-21$

General rule or explicit rule for this sequence is given as:

$a_{n}=a_{1} +(n-1)d\\\\a_{n}=a_{1}+(n-1)(9a_{1}-21)\\\\a_{n}=a_{1}+9na_{1}-21 n-9a_{1}+21\\\\a_{n}=-8a_{1}+21+n(9a_{1}-21)$

6 0

3 years ago

The area of a rectangle is 27ft^2, and the length of the rectangle is 3ft less than twice the width. find the dimensions of the

Elanso [62]

The answer is 4.5.

The formula for a rectangle is A = lw. Substitute the formula, so it'll be 27 = (2x - 3) * x. Evaluate the formula.

Hope this helps you! And rate me to see if I did it right. Thanks!

3 0

2 years ago

Write 0.76 as a fraction.

marshall27 [118]

Answer:

76/99

Step-by-step explanation:

76 ÷ 99 = 0.767676....

6 0

3 years ago

Read 2 more answers

Evaluate x+x-x for x=4

Dafna1 [17]

The answer is x=4 because 4+4 is 8 and 8 minus 4 is 4

3 0

2 years ago