Question
Asked Oct 7, 2019
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I
A
D
F
к
X
V
B
ALT
Problem 5
Find the values of a and b for which f(x) is continuous at x 7
if x<7
if x= 7
if x >7
ax2 cos(Tx)
f (x) =
1
4 tan (TI/4) - b
2
Co
+200
49 94200
49-20
V
E
-7
U
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I A D F к X V B ALT Problem 5 Find the values of a and b for which f(x) is continuous at x 7 if x<7 if x= 7 if x >7 ax2 cos(Tx) f (x) = 1 4 tan (TI/4) - b 2 Co +200 49 94200 49-20 V E -7 U

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Expert Answer

Step 1

Consider the given function

ax2 2 cos (
if x<7
if x 7
f(x)={x+8
X
Ωχ
ifx >7
4tan
-b
4
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ax2 2 cos ( if x<7 if x 7 f(x)={x+8 X Ωχ ifx >7 4tan -b 4

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Step 2

Now when x=7 then

f(x)=x+8
= 78
= 15
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f(x)=x+8 = 78 = 15

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Step 3

Then  

For the function f(x) to be continuous must be 15...

S(T)=15
a(7)+2 cos (72) 15
49a+2(15
77
49a 17
17
а -
49
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S(T)=15 a(7)+2 cos (72) 15 49a+2(15 77 49a 17 17 а - 49

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Tagged in

Math

Calculus

Continuity