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aleksklad [387]
3 years ago
15

Which of the following can be the parent function of the graph? Select two of the following that apply.

Mathematics
1 answer:
maks197457 [2]3 years ago
3 0

Answer:

Options c and d

Step-by-step explanation:

Given is a graph with period pi.

ii) The graph is discontinuous

iii) x intercepts are say (a) units to the right of y axis and repeats for every interval of pi.

Fix the function

a) y = sinx cannot be this graph because sinx is a continuous graph

b) y =cosx cannot be this graph because cosx is a continuous graph

e) y = sec x is undefined for the range (-1,1) since the given graph is defined in this interval, secx is not answer.

f)y = csc x is undefined for the range (-1,1) since the given graph is defined in this interval, cscx is not answer.

c) y=tanx is a discontinuous graph at x = odd multiples of pi/2

Hence the given graph can be of the form y =- tan (2x+a) which shows reflection over y axis,

d) y = cotx can also be this graph with adjustments for period and horizontal shift.

So answers are c and d

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What is the fourth term in the binomial expansion (a+b)^6)
Dafna11 [192]

Answer:

20a^3b^3

Step-by-step explanation:

<u>Binomial Series</u>

(a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n

<u>Factorial</u> is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

Example:  4! = 4 × 3 × 2 × 1

Therefore, the fourth term in the binomial expansion (a + b)⁶ is:

\implies \dfrac{n!}{3!(n-3)!}a^{n-3}b^3

\implies \dfrac{6!}{3!(6-3)!}a^{6-3}b^3

\implies \dfrac{6!}{3!3!}a^{3}b^3

\implies \left(\dfrac{6 \times 5 \times 4 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}{3 \times 2 \times 1 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}\right)a^{3}b^3

\implies \left(\dfrac{120}{6}\right)a^{3}b^3

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7 0
2 years ago
(1) the diameter is 20 inches whats the radius? And whats the circumference?
Alecsey [184]

(1) the diameter is 20 inches whats the radius? And whats the circumference?

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Circumference is pi times the radius, Answer: 10π inches

I won't bother with the approximation, though this one is easy, 31.4159 inches.  I'll leave the rest of the calculator work to you if necessary.

(2) the diameter 11 inches whats the radius? And whats the circumference?

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(3) the diameter 3.5 inches whats the radius? And whats the circumference?

Radius, 1.75 inches.  Circ: 1.75π inches

8 0
3 years ago
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adell [148]

Answer:

D.) Every cloud has a silver lining!

Step-by-step explanation:

Hope this helps!

5 0
3 years ago
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