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Yuki888 [10]
3 years ago
12

True or False: If lim x → a f(x) does not exist, then f is undefined at the point x = a.

Mathematics
1 answer:
kkurt [141]3 years ago
8 0

Answer:

this is absolutely false.

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Peter works at a bookstore. He packed 3 identical paperbacks and 2 identical textbooks in a box. The total mass of the books was
Alexus [3.1K]

If we let p and t be the masses of the paper and textbook, respectively, the equations that would best represent the given in this item are:

     (1)       20p + 9t = 44.4

     (2)       (20 + 5)p + (9 + 1)t = 51

The values of p and t from the equation are 0.6 and 3.6, respectively. Thus, each paperback weighs 0.6 pounds and each textbook weighs 3.6 pounds.

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2 years ago
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Evaluate the definite integral. <br> 1 x4(1 + 2x5)5 dx.
Nata [24]

Answer:

Step-by-step explanation:

Given the definite integral \int\limits {\dfrac{x^4}{(1-2x^5)^5} } \, dx, we to evaluate it. Using integration by substitution method.

Let u = 1-2x⁵ ...1

du/dx = -10x⁴

dx = du/-10x⁴.... 2

Substitute equation 1 and 2 into the integral function and evaluate the resulting integral as shown;

= \int\limits {\dfrac{x^4}{u^5} } \, \dfrac{du}{-10x^4}

= \dfrac{-1}{10} \int\limits {\dfrac{du}{u^5} }  \\\\= \dfrac{-1}{10} \int\limits {{u^{-5}du }  \\= \dfrac{-1}{10} [{\frac{u^{-5+1}}{-5+1}]  \\\\= \dfrac{-1}{10} ({\frac{u^{-4}}{-4})\\\\

= \dfrac{u^{-4}}{40} \\\\\\= \dfrac{1}{40u^4} +C

substitute u = 1-2x⁵ into the result

= \dfrac{1}{40(1-2x^5)^4} +C

Hence\int\limits {\dfrac{x^4}{(1-2x^5)^5} } \, dx = \dfrac{1}{40(1-2x^5)^4} +C

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3 years ago
Indirect Proof help! WILL MEDAL
Charra [1.4K]
The area of the rectangle:
A = Length x Width = JK x KL = 36 cm²
If JK ≥ 4 cm, we have to prove that KL ≤ 9 cm.
Answer:
Assume that a. KL > 9 cm.
Then the area of rectangle JKLM is greater than b. 36 cm²,
which contradicts the given information that c. side is at least 4 cm long.
So the assumption must be false. Therefore, d. KL ≤ 9 cm.
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3 years ago
swewtypie baking cimpany had 91 eggs then employees used 17 eggs ti make cookie how many eggs are left​
VashaNatasha [74]

Answer:

74 eggs are left

Step-by-step explanation:

91-17=74

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3 years ago
"You figure you can ride Ghost Wind, then get on. Just bring him back to the stable when you're finished so I can rub him down."
AlekseyPX

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character vs nature.

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