If ln y = (ln x)2 + 2, then find dy / dx in terms of x and y.

Answers

Answer 1

Answer:

Answer: The required value of $(dy)/(dx)$ is $(y)/(1-y).$

Step-by-step explanation: We are given to find the value of $(dy)/(dx)$ from the following equation :

$\ln y=(\ln x)^2+2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Differentiating both sides of equation (i) with respect to x, we have

$(d)/(dx)\ln y=(d)/(dx)((\ln x)^2+2)\n\n\n\Rightarrow (1)/(y)(dy)/(dx)=(d)/(dx)(\ln x)^2+(d)/(dx)2\n\n\n\Rightarrow (1)/(y)(dy)/(dx)=2\ln x*(d)/(dx)\ln x+0\n\n\n\Rightarrow (1)/(y)(dy)/(dx)=2(\ln x)/(x)\n\n\n\Rightarrow (dy)/(dx)=(2y\ln x)/(x).$

Thus, the required value of $(dy)/(dx)$ in terms of x and y is $(2y\ln x)/(x).$ .

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(Giving brainliest!!)Terrance packs two boxes inside a crate. The total weight of the crate and two boxes is 98.45 pounds. One box weighs 32.8 pounds, and the other box weighs 39.34 pounds. How much does the crate weigh?

A) 72.14 pounds
B) 59.11 pounds
D) 26.31 pounds

Answers

If the total weight of the crate and two boxes is 98.45 pounds and one box weighs 32.8 pounds, and the other box weighs 39.34 pound, the weight of the crate is D) 26.31 pounds.

How the weight of the crate is determined:

The weight of the crate can be determined by addition and subtraction.

Addition and subtraction involves the two of the four basic mathematical operations, including division and multiplication.

The total weight of the crate and two boxes = 98.45 pounds

The weight of one box = 32.8 pounds

The weight of the second box = 39.34 pounds

The total weight of the boxes = 72.14 pounds (32.8 + 39.34)

The weight of the crate = 26.31 pounds (98.45 - 72.14)

Learn more about addition and subtraction at brainly.com/question/4721701.

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Answer:

the crate weighs 26.31

Step-by-step explanation:

add 32.8 and 39.34 together and then subtract 98.45 from the sum. ^^

Step-by-step explanation:

There are 250 students in the senior class at Stats High School. Some are involved in clubs and some have part-time jobs. 130 students have a part-time job (some of these students may be in a club). 110 students are involved in a club (some of these students may have a job). 100 students are NOT involved in a club and do NOT have a part-time job1. Draw a Venn diagram to illustrate the data.

Answers

Answer: ( i had a problem with this question too and i looked it up for a tutorial and i saw that some guy replied random things for points, so after i found the explanation, i came back here to give you a proper answer.)

Write 100 outside the circles to represent the students who do not have a job and are not in a club.

There are a total of 250 students, and 100 of them are not in the circles. So the remaining 150 must be included in the job and club circles.

The total number in the job subset is 130, and the total number in the club subset is 110. Together, this is 240 students, but there is only room for 150.

This means that 90 of the students are included in the intersection (both job and club).

The total number of students with jobs is 130, but 90 are already included in the intersection. Therefore, the difference of 40 students only have jobs.

The total number of students in a club is 110, but 90 have both jobs and attend a club. So the remaining 20 students must only attend a club.

Find the area of a triangle with sides a=5,b=8, and c=11 useing the herons formula

Answers

Answer:

18.330302...

Step-by-step explanation:

Answer: 18.330302

Step-by-step explanation:

i think?!

Write an equation in point-slope form for the line through the given point with the given slope.(8, –3); m = -1/4

Answers

Answer:

y+3 = -1/4(x-8)

Step-by-step explanation:

Point slope form is y-y1 = m(x-x1) where m is the slope and (x1-y1) is a point on the line

(y- -3) =-1/4(x-8)

y+3 = -1/4(x-8)

You are going to play mini golf. A ball machine that contains 23 green golf balls, 24 red golf balls, 18 blue golf balls, and 24 yellow golf balls, randomly gives you your ball. What is the probability that you end up with a red golf ball?