Answer the following True or False. If f(x)dx 0 and f(x) is continuous, then a = b. O True O False

Q: Find numbers a and b so that f is continuous at every point.

A: Given,

Q: -f(x) = x² – 2x – 3, then on which of the following intervals is f increasing? If dx

A:

Q: x+5 4. f(x) = %3D x2-5x+4

A:

Q: The function f (x) = 3x² –4x-3 is continuous everywhere.

A: Given,             f(x)=3x2-4x-3

Q: Find the values of a and b that make f continuous everywhere. b = f(x): x-2 ax² - 6x + 3 4x -a + b…

A:

Q: 2² –4 if æ 3

A: The given function isf(x)=x2-4x-1if x<2ax2-bx+1if 2≤x<34x-a+bif x≥3

Q: Let f(x.y) = In ( x2 + y ). If f,(2,a)=f,(- 1, 2), what is the value of a? O a. 6 O b.3 O. 7 O d. 8…

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Q: . Determine if y is a function of x in x = y? + 5.

A: Given equation - x = y2+5Let's solve for y =- y2 = x-5y = x-5       ........(1)

Q: What values must a and b take for f to be continuous everywhere?

A: Given that the function fx=ax1+4x2 ,      x<0b    ,                     x=0tan-1xx ,…

Q: Find the values of c and d that make the function 6x if x 2 continuous. с — d =

A:

Q: 7+6z – zº x 4 тх + b,

A: Given that,    A function is continuous everywhere means the function is continuous at every point…