Trying to find derivative of y = x^(lnx), show step-by-step solution

Answers

Answer 1

Answer: $y=x^(ln(x))\n ln(y)=\ln{x^(ln(x))}\n ln(y)=ln(x)ln(x)\n (1)/(y) dy= ((1)/(x) ln(x)+ (1)/(x) ln(x))dx\n\n(1)/(y) y'= (2)/(x) ln(x)\n\ny'=y(2)/(x) ln(x)\n\ny'=x^(ln(x))(2)/(x) ln(x)\n\ny'= (x^(ln(x))2ln(x))/(x) \n\ny'=2x^(ln(x)-1)ln(x)$

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Is 10/24 equal to 8/20

Answers

Answer:

No, 10/24 is not equal to 8/20

Step-by-step explanation:

10/24=5/12 when simplified

8/20=2/5 when simplified

Therefore, 10/24 is not equal to 8/20. I hope this helps, and mark me brainliest, please!

Thank you have a wonderful Sunday!

Use the unit circle to find the value of cot (–270°). Question 3 options: cot (–270°) = 1 cot (–270°) = –1 cot (–270°) = 0 undefinedQuestion 3 options:

cot (–270°) = 1

cot (–270°) = –1

cot (–270°) = 0

undefined

Answers

Answer:

cot(-270) = 0

Step-by-step explanation:

given cot ( -270)

In trigonometry function we will use cot ( -x) = -cotx

so cot (-270) = - cot270

trigonometry table

II quadrant I quadrant ( All positive)

sin θ 90+θ 90 -θ

cosec θ 180-θ 360+θ

third quadrant fourth quadrant

tan θ 180+θ cos θ 270+θ

cot θ 270 - θ sec θ 360-θ

Given

cot (-270) = -cot ( 270)

= - cot ( 180 + 90) (third quadrant above table)

= -cot 90 =0 ( cot θ positive in third quadrant

Final answer:-

cot(-270) =0

Final answer:

The value of cot(−270°) is undefined because it involves a division by zero, as its calculation is based on the cosine and sine values at −270° on the unit circle, which are 0 and 1, respectively.

Explanation:

To find the value of cot (−270°), we need to understand where −270° places us on the unit circle. A full circle is 360°, so starting at the positive x-axis and moving clockwise (since the angle is negative), we move 270° to end up at the positive y-axis. The cotangent function is the ratio of the adjacent side to the opposite side in a right triangle, or the cosine divided by the sine.

At −270° (or 270° in the positive, counter-clockwise direction), the coordinate on the unit circle is (0, 1). The sine of −270° is the y-coordinate (which is 1), and the cosine of −270° is the x-coordinate (which is 0). Therefore, cot (−270°) = cos (−270°) / sin (−270°) = 0/1. Since division by zero is undefined, cot (−270°) is undefined.

Learn more about Cotangent Function here:

brainly.com/question/12635340

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Which recursive formula can be used to generate the sequence shown, where f(1) = 5 and n > 1?5,–1, –7, –13, –19, ...

Answers

the sequence of numbers decrease by 6 each time, so we can write:
f(1) = 5
f(2) = -1
f(3) = -7
f(1) - f(2) = 6
or:
f(2) = f(1) - 6
which means:
f(n + 1) = f(n) - 6

Answer:

Step-by-step explanation:

the sequence of numbers decrease by 6 each time, so we can write:

f(1) = 5

f(2) = -1

f(3) = -7

f(1) - f(2) = 6

or:

f(2) = f(1) - 6

which means:

f(n + 1) = f(n) - 6

What is the probability of rolling an odd number on a fair 6-sided number cube?

Answers

$\Omega=\{1;\ 2;\ 3;\ 4;\ 5;\ 6\}-all\ results\n|\Omega|=6\n\nA=\{1;\ 3;\ 5\}-odd\ numbers\n|A|=3\n\nP(A)=(|A|)/(|\Omega|)\to P(A)=(3)/(6)=(1)/(2)=0.5$

Answer: 0.5

Francisco’s game involves 3 green, 2 yellow, 4 red, and 3 black marbles.If he randomly draws three marbles from the bag, without replacement, what is the probability that he will draw yellow, and then red, and the black? HELP

Answers

Answer is b

Step-by-step explanation:

I already did it

An equation in the system is y = x + 1. What is the other equation in the system if the solution is only at (0, 1)?x − y = 1

2x + 2y = 4

x + y = 1

x + 2y = 2

Answers

Answer:

The correct options are 3 and 4.

Step-by-step explanation:

An equation in the system is

$y=x+1$

The only one solution of the system of equation is (0,1). It means the equation must be satisfied by the point (0,1) and the equation is not equivalent to the given equation.

Two equations $a_1x+b_1y+c_1=0$ and $a_2x+b_2y+c_2=0$ are equivalent if

$(a_1)/(a_2)=(b_1)/(b_2)=(c_1)/(c_2)$

All the given equations are not equivalent equations because for all equation s

$(a_1)/(a_2)\neq (b_1)/(b_2)\neq (c_1)/(c_2)$

Check each equation by (0,1).

For equation 1,

$x-y=1$

$0-1=1$

$-1=1$

This statement is false, therefore the option 1 is incorrect.

For equation 2,

$2x+2y=4$

$2(0)+2(1)=4$

$2=4$

This statement is false, therefore the option 2 is incorrect.

For equation 3,

$x+y=1$

$0+1=1$

$1=1$

This statement is true, therefore the option 3 is correct.

For equation 4,

$x+2y=2$

$0+2(1)=2$

$2=2$

This statement is true, therefore the option 4 is correct.

A)
x − y = 1
0 - 1 = 1
-1 = 1

Not true.

B)
2x + 2y = 4
2(0) + 2(1) = 4
0 + 2 = 4
2 = 4
Not true

C)
x + y = 1
0 + 1 = 1
1 = 1
True

D)
x + 2y = 2
0 + 2(1) = 2
2 = 2
True

The answer is C and D.

Other Questions

△ABC is mapped to △A′B′C′ using the rule (x, y)→(−x, −y) followed by (x, y)→(x, −y) .Which statement correctly describes the relationship between △ABC and △A′B′C′ ? A. △ABC is congruent to △A′B′C′ because the rules represent a reflection followed by a rotation, which is a sequence of rigid motions. B. △ABC is congruent to △A′B′C′ because the rules represent a rotation followed by a reflection, which is a sequence of rigid motions. C. △ABC is not congruent to △A′B′C′ because the rules do not represent a sequence of rigid motions. D. △ABC is congruent to △A′B′C′ because the rules represent a reflection followed by a reflection, which is a sequence of rigid motions.

5x-8 (4x-7)=2 solve for x

1. Divide. Assume the denominator does not equal zero.(12x^2y-6xy+4x^2)/(2xy)

A perfect score on a quiz is 100. Mrs. Frisoil gives students 1 point for putting their name on the paper. If there are only 9 questions on the quiz, how much is each question worth? Explain how you found your answer