-24= 6/7x<br> Solve for x

xz_007 [3.2K]

The answer is 1.4 x 10^3 Or 1400
Rewrite the equation as
(2x7) x (10^6 x 10^4) then calculate from there to get your answer

4 0

2 years ago

Find dy/dx by implicit differentiation.

kow [346]

dy/dx by implicit differentiation is cos(πx)/sin(πy)

<h3>How to find dy/dx by implicit differentiation?</h3>

Since we have the equation

(sin(πx) + cos(πy)⁸ = 17, to find dy/dx, we differentiate implicitly.

So, [(sin(πx) + cos(πy)⁸ = 17]

d[(sin(πx) + cos(πy)⁸]/dx = d17/dx

d[(sin(πx) + cos(πy)⁸]/dx = 0

Let sin(πx) + cos(πy) = u

So, du⁸/dx = 0

du⁸/du × du/dx = 0

Since,

du⁸/du = 8u⁷ and

du/dx = d[sin(πx) + cos(πy)]/dx

= dsin(πx)/dx + dcos(πy)/dx

= dsin(πx)/dx + (dcos(πy)/dy × dy/dx)

= πcos(πx) - πsin(πy) × dy/dx

So, du⁸/dx = 0

du⁸/du × du/dx = 0

8u⁷ × [ πcos(πx) - πsin(πy) × dy/dx] = 0

8[(sin(πx) + cos(πy)]⁷ × (πcos(πx) - πsin(πy) × dy/dx) = 0

Since 8[(sin(πx) + cos(πy)]⁷ ≠ 0

(πcos(πx) - πsin(πy) × dy/dx) = 0

πcos(πx) = πsin(πy) × dy/dx

dy/dx = πcos(πx)/πsin(πy)

dy/dx = cos(πx)/sin(πy)

So, dy/dx by implicit differentiation is cos(πx)/sin(πy)

Learn more about implicit differentiation here:

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6 0

1 year ago

On Monday, Chris and Rachel went to the gym. Chris plans to return every second day. Rachel plans to return every fourth day. If

Elena-2011 [213]

The answer is c! Friday

7 0

1 year ago

General term for -13, -11, -9, -7

timurjin [86]

The general term for the arithmetic sequence; -13, -11, -9, -7 is Tn = -15 - 2n.

<h3>Arithmetic progression</h3>

-13, -11, -9, -7

First term, a = -13
Second term = -11

Common difference, d = Second term - first term

= -11 - (-13)

= -11 + 13

= 2

Therefore,

Tn = a + (n - 1)d

Where,

n = number of terms

Tn = a + (n - 1)d

= -13 + (n - 1)2

= -13 - 2n - 2

Tn = -15 - 2n

So therefore, the general term for the arithmetic sequence; -13, -11, -9, -7 is Tn = -15 - 2n.

Learn more about arithmetic progression:

brainly.com/question/6561461

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5 0

2 years ago

Which of the following is a polynomial?

Makovka662 [10]

Answer:

D

Step-by-step explanation:

Terms are separated by addition and subtraction symbols.

Polynomials consist of terms that are constant and/or variable. The variable terms must have 0 or positive exponents. Polynomials will not consist of division of variable expressions.

Examples of polynomials:

$5$

$5x$

$6-x$

$24x^9-x$

Examples of non-polynomials:

$\sqrt{x}$

$\frac{x+2}{x-4}$

In general a polynomial when written in standard form should be comparable to:

$a_nx^n+a_{n-1}x^{n-1}+\cdots a_3x^3+a_2x^2+a_1x+a_0$

where the $a$ 's could be zero and all the exponents,n, are positive or 0.

D is comparable since all of these are 0 except $x_4$ which is 1 and $x_0$ which is -2.

Also the other choices have either division by variable expressions and/or negative exponents on variables.

5 0

3 years ago

-24= 6/7x Solve for x