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Pavlova-9 [17]
3 years ago
15

Calculus question, PLEASE HELP WITH THIS, due tonight!!

Mathematics
1 answer:
kotegsom [21]3 years ago
8 0

Answer:

(a) f(0) = 1

(b) f(3) = 5 (I'm not sure about this one, it's either this or undefined)

(c) f(-2) = 3

(d) \lim_{x\to -3^+} f(x)=1

(e) \lim_{x \to -2} f(x)=1

(f) \lim_{x \to 1^-} f(x)=2

(g) \lim_{x \to 1} f(x)= DNE, because the limit of x--> 1 from the left is 2, and the limit from the right is 1. Because they don't approach the same value from both sides, the limit doesn't exist.

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Two shops sell the same phone. In both shops it is £196. One shop increases the price by 17.5%. The other shop increases the pri
Diano4ka-milaya [45]

Step-by-step explanation:

the 1st shop=196-(17.5/100×196)

=196-34.3

=161.7+196

=357.7

the 2nd shop=196-(22.5/100×196)

=196-44.1

=151.9+196

=347.9

so the difference between two shop is

357.7-347.9=9.8

3 0
3 years ago
Water flows at a rate of 8000 cubic inches per minute into a cylindrical tank. The tank has a diameter of 128 inches and a heigh
beks73 [17]

Answer:

The height of the water = 6.2 in. to the nearest tenth

Step-by-step explanation:

∵ The rate of flows of water into the tank = 8000 in.³/min.

∴ The volume of the water in the tank after 10 min. = 8000 × 10 = 80000 in.³

∵ The water take the shape of the tank

∴ The height of the water = volume of water ÷ Area of the base of the tank

∵ The tank is cylinder with diameter 128 in. and height 72 in.

∴ The area of the base of the tank = π(128/2)²

∴ The height of the water = \frac{80000}{\pi(64)^{2}}=6.2169899

∴ The height of the water = 6.2 in. to the nearest tenth

 

5 0
3 years ago
What is the formula for a^3-b^3??
grandymaker [24]

Answer:

\boxed{\mathrm{view \ explanation}}

Step-by-step explanation:

The difference of two cubes formula is given as:

a^3-b^3 =(a-b)(a^2 +ab+b^2)

6 0
3 years ago
Read 2 more answers
What is a decimal that is equivalent to 5/10?<br> ? Enter the answer in the box.
sveta [45]

Answer:

0.5

Step-by-step explanation:

It is what it is

3 0
2 years ago
Write the equivalent fraction with a denominator of 100. <br> 9/10 = ?/100.
choli [55]

Answer:

90

Step-by-step explanation:

Find common denominators. Note that what you multiply to the denominator (bottom number of the fraction), you must also multiply to the numerator (top number of the fraction).

In this case, you are multiply 10 to both the numerator and denominator, as:

100/10 =10

Multiply 10 to the numerator:

? = 9 * 10

? = 90

90 is your answer.

~

5 0
3 years ago
Read 2 more answers
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