For what value of the constant c is the function f continuous on (- o0, 0) where S (1)² – c if y< 2 f(y) c(y) +1 if y > 2

Q: Let f (*= {(8) +f(9) for real values of x and y. If f '(0) exist 2 2 and equals –1 and f(0) = 1,…

A: Introduction :

Q: Q(2) Let f be a differentiable function whose domain is the set of all real number, and satisfy all…

A: f'(6)=0 , f'(x)&lt;0 when x&lt;6 f'(x)&gt;0 when x&gt;6 f''(4)=0 , f''(8)=0 f''(x)&lt;0 when x&lt;4…

Q: Let f(x) = (x³ +2x+4)* ƒ'(x) = = ƒ'(1) =

A: The function is f(x)=(x3+2x+4)4the aim is to find the derivative then the derivative of the function…

Q: The graph of function f(x) = x³ 6x2 + 9x + 1 is concave upward on (-∞, 2) (-0, 0) (2, оо) о (-2, 2)

A: f is concave up when f''(x) is greater than 0

Q: Sketch a graph of a single continuous function with a y-intercept at ( 0 , 2 ) that has the…

A: Given, f(x) is a continuous function satisfying the following table.   -∞,-6 -6, 1 1, 3 3, ∞…

Q: 12. Let f be the function f(x)={ x² - 3bx+2; x2 For what value of b is f continuous at x = 2 ? (A) 0…

A: To find For what values of b is f is continuous at x=2.

Q: 2. A continuous function f is defined on the interval [-2, 2]. The values of f at some of the points…

A: As per our guide line if multiple questions are posted we are supposed to answer only the first one…

Q: f(x.y)= arccos( x² + y² - 3)+ In(x² +y° -3) Which of the following is the domain of function (0)…

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Q: 2n- X 2n 3. Let f(x)- x-x +... + xxx-ax+b. Which value for'the pair (a,b) will X guarantee that the…

A: At x=1 the graph of f(x) touches x axis. This means at x=1, f(x)=0Or, f(1)=0From it we get equation:…

Q: Q3\ a) Find the values of a and b to make the functions continuous at every x: ax + 2b 2) g(x) = }x²…

A: Given function is,  f(x)=-2        ;x≤-1ax-b   ;-1≤x≤13          ;x&gt;1

Q: Let f :[-2,6] R be the function given by * if - 2sx<0 if 0sx< 2 4 -x if 2 sxs6. f(x) = 2.x For each…

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Q: The graph of function f(x) = x – 9x² + 7x is concave upwards on (-0, c0) O (-∞, 3) O (3, 0) O None

A: Given function is  f(x)= x^3 - 9x^2 + 7x

Q: For what value of the constant cis the function f continuous on (-0∞,) f(x)= =/ x²+ 2x+6 X 7 if xs2…

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Q: The graph of function f(x) = x³ – 6x² + 9x + 1 is concave downward on O (-∞, 2) O (-∞, ∞) O (2, c0)…

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