Question

IF A=x+5 and b=2x show that ab = 2xx+10x

Answer 1

Answer:

Here, value of f(x) is changing at 2 and 4.

So, f(x) to be continuous,

f(2−)=f(2+)

⇒22+2a+b=3(2)+2

⇒4+2a+b=8

⇒2a+b=4→(1)

Also, f(x) to be continuous,

f(4−)=f(4+)

⇒3(4)+2=2a(4)+5b

⇒14=8a+5b

⇒8a+5b=14→(2)

Multiplying (1) with 4 and then subtracting (1) from (2),

8a+4b−8a−5b=16−14

⇒b=−2

Putting b=−2 in (1),

2a−2=4⇒a=3

So, for a=3 and b=−2, f(x) will be continuous.

Step-by-step explanation:

Answer 2

Answer:

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Step-by-step explanation:

A×b=(x+5)×2x

Ab=2x²+10x. (2xx=2x²)

Hence proved