What is the problem of this solving?!
what is the problem of this solving?! - 1

Answers

Answer 1
Answer:      This question can be solved primarily by L'Hospital Rule and the Product Rule.

y= \lim_(x \to 0)  (x^2cos(x)-sin^2(x))/(x^4)
 
     I) Product Rule and L'Hospital Rule:

y= \lim_(x \to 0) ([2xcos(x)-x^2sin(x)]-2sin(x)cos(x))/(4x^3)
 
     II) Product Rule and L'Hospital Rule:

y= \lim_(x \to 0) ([-2xsin(x)+2cos(x)]-[2xsin(x)+x^2cos(x)]-[2cos^2(x)-2sin^2(x)])/(12x^2) \n y= \lim_(x \to 0) (2cos(x)-4xsin(x)-x^2cos(x)-2cos^2(x)+2sin^2(x))/(12x^2)
 
     III) Product Rule and L'Hospital Rule:

]y= \alpha + \beta \n \n \alpha =\lim_(x \to 0) (-2sin(x)-[4sin(x)+4xcos(x)]-[2xcos(x)-x^2sin(x)])/(24x) \n \beta = \lim_(x \to 0) (4sin(x)cos(x)+4sin(x)cos(x))/(24x) \n  \n y = \lim_(x \to 0) (-6sin(x)-4xcos(x)-2xcos(x)+x^2sin(x)+8sin(x)cos(x))/(24x)
 
     IV) Product Rule and L'Hospital Rule:

y = \phi + \varphi \n  \n \phi = \lim_(x \to 0)  (-6cos(x)-[-4xsin(x)+4cos(x)]-[2cos(x)-2xsin(x)])/(24x)  \n \varphi = \lim_(x \to 0)  ([2xsin(x)+x^2cos(x)]+[8cos^2(x)-8sin(x)])/(24x)
 
     V) Using the Definition of Limit:

y= (-6*1-4*1-2*1+8*1^2)/(24)  \n y= (-4)/(24)  \n \boxed {y= (-1)/(6) }

Related Questions

For an angle theta with the point (-5, -12) on its terminating side, what is the value of cosine? A. -5 B. -12 C. -5/13 D. -12/13
3/7 reduce to the lowest form
Carol flips a coin, rolls a standard number cube, and randomly chooses a shape from the list below. Find the probability that the coin will show tails, the cube will show a multiple of 2, and a circle will be chosen. (the shapes are a - circle, triangle, square, and parallelogram)
0.88 as a fraction in simplest form
Quadratic graph find a and b

Ummmmmmmmm Store B
Store C
Store D

Answers

Jamal can buy from stores B, C, and D

To find out the total price from each store, you must multiply each price per pound by 3.25.

3.10 × 3.25 = 10.075       Wrong

3.02 × 3.25 = 9.815        Right

2.97 × 3.25 = 9.6525     Right

3.07 × 3.25 = 9.9775      Right

3.09 × 3.25 = 10.0425    Wrong

Answer: B, C, and D

Three of four numbers have a sum of 22. If the average of the four numbers is 8, what is the fourth number?

Answers

a+b+c=22\n \n (a+b+c+x)/(4)=8\n \n a+b+c+x=32\n \n 22+x=32\n \n \boxed{x=10}

Answer:

10

Step-by-step explanation:

Let's call the four numbers x1, x2, x3, and x4. Their average is (x1 + x2 + x3 + x4)/4 = 8, so x1 + x2 + x3 + x4 = 4 × 8 = 32. And we know that three of the numbers have a sum of 22, so x1 + x2 + x3 = 22.

Subtracting this last equation from the first equation, we have:

\sf:\implies{x4 = 32 - (x1 + x2 + x3) = }

\sf:\implies{32 - 22 = 10}

So the fourth number is 10.

Ples help meeeeeeeee

Answers

Answer:

6610

Step-by-step explanation:

Move the decimal 2 spots to the right and add 2 zeros more behind the 528.8

so its becomes 8 divide what that number is

Answer:

See attached image for calculations.

Step-by-step explanation:

To make the calculation easier, we multiply both dividend and divisor by 100 to work with whole numbers, thus

528.8/0.08 = 52880 / 8

See attached image for details.

What is base 1 of a trapezoid in which A=(48x+68) in^2, height =8, and base 2 = (9x + 12)

Answers

A=(1/2)(b1+b2)h = 

=(48x+68)in² = (1/2)( b1+(9x+12))8 


the answer is = b1= 3x+5

i hope that helped =D

HELP! What does BM equal? WILL GIVE BRAINLIEST!

Answers

Answer:

6

Step-by-step explanation:

BM=1/3 BQ=1/3*18=6

Lena is making two dishes for an event. Each batch of her mac-n-cheese recipe calls for 6 ounces of cheese and 2 tablespoons of basil. For every two pizzas, she needs 16 ounces of cheese and 5 tablespoons of basil. Part A) Lena buys a 32-oz package of cheese. Does she have enough cheese to make 2 batches of man-n-cheese and 3 pizzas?

Answers

no she needs four more ounces of cheese to make 2 batches of mac n cheese and 3 pizzas

Final answer:

To make 2 batches of mac-n-cheese and 3 pizzas, Lena needs a total of 60 ounces of cheese. If she only buys a 32-ounce package of cheese, she does not have enough.

Explanation:

To determine if Lena has enough cheese to make 2 batches of mac-n-cheese and 3 pizzas, we need to calculate the total amount of cheese needed for each dish. Each batch of mac-n-cheese requires 6 ounces of cheese, so 2 batches would require 2 x 6 = 12 ounces of cheese. Each pizza requires 16 ounces of cheese, so 3 pizzas would require 3 x 16 = 48 ounces of cheese. Therefore, the total amount of cheese needed is 12 + 48 = 60 ounces.

If Lena buys a 32-ounce package of cheese, she does not have enough cheese to make both the mac-n-cheese and the pizzas. The 32-ounce package is smaller than the total amount of cheese needed, which is 60 ounces. Therefore, Lena would need to buymore cheese.

Learn more about cheese quantity here:

brainly.com/question/34146334

#SPJ11