1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vesnalui [34]
3 years ago
8

36 and 38Steps and explaination please

Mathematics
1 answer:
elena55 [62]3 years ago
8 0

Answer:

36.   Limit = 2/3.

Step-by-step explanation:

36.

(∛ x- 1)  / (√x - 1)

Rationalise the expression:-

Multiply top and bottom by (√x + 1):-

(∛x - 1)(√x + 1) /  (√x - 1)(√x + 1)

=  x^5/6  + ∛x - √x - 1 /  (x - 1)

Applying L'hopital's rule ( differentiating top and bottom of the fraction) we have:

Limit as x ----> 1 of  [5/6 x^-1/6 + 1/3 x^(-2/3)  - 1/2x^-1/2] / 1

= 5/6(1) + 1/3(1) - 1/2(1)  =  2/3  (answer).



You might be interested in
What is the answer to <br> 8(x-3)+7=2x(4-17)
nadezda [96]

Answer:

x=1/2

Step-by-step explanation:

First you distribute the 8 over the (x-3) giving you 8x-24. Do the same for 2x and (4-17). That should give you 8x-34x.

Your equation should look like : 8x-24+7=8x-34x

Next try to balance out your equation. You want your x's all by themselves in order to solve.

The 8x's cancel eachother out so you have -24+7= -34x.

Add the like terms of -24 and 7 to get -17.

Equation: -17= -34x

Divide both sides by -34 to get x by itself.

-17/-34 = x

Reduce by dividing the numerator and denominator by 17 to get -1/-2

Since they are both negative the fraction turns positive.

So the answer should be x=1/2

5 0
3 years ago
A box has dimensions of 19in long, 20.4 inches wide, and 6ins high. What is the volume of the box?
sukhopar [10]

To find the volume, multiply length, width, and height together

19 x 20.4 x 6 = 2325.6

2325.6 in³ is your answer

hope this helps

5 0
3 years ago
What is the value of the discriminant for the quadratic equation 2x2− x + 8 = 0?
Alja [10]
2x² <span>- x + 8 = 0
D</span>iscriminant = b² - 4ac
a=2,  b=-1,  c=8

D =  (-1)² - 4 * 2 * 8 = 1 - 64 = -63
7 0
3 years ago
In a florist shop, the ratio of roses to tulips is 5 : 3. The shop has 72 tulips on Friday morning. If the florist uses up half
11Alexandr11 [23.1K]

Answer:

it would stay the same

Step-by-step explanation:

3 0
3 years ago
A piece of stained glass in the shape of a right triangle has sides measuring 8 centimeters, 15 centimeters, and 17 centimeters.
Mashcka [7]

Answer:

60cm^2

Step-by-step explanation:

1. turn triangle into rectangle measuring 15x8

2. find area of rectangle (area = base*height): 8*15 = 120

3. Find area of triangle (divide rectangle area by 2): 120/2 = 60cm^2

3 0
3 years ago
Other questions:
  • A single die is rolled. Find the probability of rolling and odd number or a number less than 4
    10·1 answer
  • My final balance after 48 months was $896.00. if i bring back originally put$800.00 into the bank, what was the interest rate?
    11·1 answer
  • 88 out of 132 in fraction form
    5·2 answers
  • Find the length and width<br> A= 20 cm2<br> P= 18cm
    8·1 answer
  • Which best describes the scatter plot.
    9·1 answer
  • (2 marks) Q12 A sandwich shop owner makes 1 sandwich with brown bread for every 4 sandwiches he makes with white bread. Today he
    5·1 answer
  • <img src="https://tex.z-dn.net/?f=%5Csqrt%7B2%7D%20%5Cfrac%7B7%7D%7B8%7D" id="TexFormula1" title="\sqrt{2} \frac{7}{8}" alt="\sq
    15·1 answer
  • What is 80%of 1,60<br>will mark brainliest​
    8·1 answer
  • 100 POINTS
    7·1 answer
  • Who was Karl Pearson?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!