subject
Mathematics, 11.06.2020 21:57 scholarlystudenttt28

Calculus: Fill in the blanks: If f and g are continuous functions with f(2) = 9 and limx→2[2f(x) + 3g(x)] = 6. Use the properties limits and
continuity to find g(2). Soln: Since we have an equation above,
working first on the left hand side: limx→2[2f(x) + 3g(x)] =
= (*)
Since f and g are both continuous and f(2) = 9. By definition,
limxβ†’2 f(x) = = and limxβ†’2 g(x) = (βˆ—βˆ—)
Now, continuing from line (βˆ—) above together with line (βˆ—βˆ—) , we have
β€”β€”β€”β€”β€”β€”β€”β€”β€”β€”β€”β€”β€”β€”β€”- = ————————————–= 6
β€”β€”β€”β€”β€”β€”β€” = 6
3g(2) = 6 βˆ’ =
g(2) =

ansver
Answers: 3

Another question on Mathematics

question
Mathematics, 21.06.2019 12:30
Idont get this question can someone me solve it? ** the distance light travels in one second (1 light second) is about 1.86 Γ—10^5 mi. saturn is about 475 light-seconds from the sun. about how many miles from the sun is saturn..my guess is 8.83* 10^7 you so much
Answers: 1
question
Mathematics, 21.06.2019 20:00
Frank owns a $141,000 home, for which he has a 30-year mortgage in the amount of $700 a month. once he has paid off mortgage, how much will he have paid in investment? a. $111,000 b. $109,000 c. $120,000 d. $141,000
Answers: 1
question
Mathematics, 22.06.2019 01:30
Drag the tiles to the boxes to form correct pairs. not all tiles will be used with reference to the figure, match the angles and arcs to their measures. *dpa 124 e0b 114Β° cob spot xoca 122Β° c e 2019 orentum arts reserved a 6: 52 pm 6/19/2019 40
Answers: 1
question
Mathematics, 22.06.2019 02:30
F(x) = 2x + 1? h(x) = x – h(x) = x + h(x) = x – 2 h(x) = x + 2
Answers: 2
You know the right answer?
Calculus: Fill in the blanks: If f and g are continuous functions with f(2) = 9 and limx→2[2f(x) + 3...
Questions
question
Mathematics, 27.07.2019 22:00