Find the value for k so that the function will be continuous at x = -3. f(x) = - 7x² - 70x - 147 10 x + 3 -9x² + 162x - 729 + k if x < -3 if x ≥ −3

Q: A lake near to Arctic is covered by a 4 meters thick sheet of ice during the cold winter months.…

A: Solution :-

Q: Solve the following equation to determine if f (x) is continuous given the function: f (x) = 6x+7…

A:

Q: Let f(x)= √x. Find g(x), the function that is f(x) shifted up 7 units and left 3 units.

A:

Q: Find where the function is increasing. 2 y = x² - 3lnx, (x > 0)

A:

Q: Find the values of c and d that make the function continuous. C = d= f(x) = 6x cx²+d 7x if x 2

A:

Q: Find the value of constant K that makes the function below continuous at x = 2. You MUST write your…

A: Given: fx=x2-2xx-2 , x&lt;2kx-3  ,x≥2

Q: g(x) = v2 – 3x %3D

A:

Q: 6 5 M į -эп -5г/2 -2п -3п/2 --π/2 0 -1 3 2 -2 -3- π/2 π 3π/2 2rt 5π/2 3r

A:

Q: Differentiate the following function. f(x) = |x+ x+ -le 6x d 5 X+ 6x dx

A:

Q: Find the function g(x) which is obtained by reflecting the graph of f(x) about y axis and moving 2…

A: solution

Q: Determine the intervals on which the function f(x)=e√x is convex upward and convex downward.

A: We find f"(x)

Q: Find the value of the constant (a, b, or c) that makes the function continuous.

A: For the function to be continuous at all point.f(x) must be continuous at x=5 and,x2-c =…

Q: 20. f(x) = x + sinx, 0≤x≤ 2π.

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Determine where the following function is continuous. х-5 M(x) = 4x2 - 9

A:

Q: What happens to the function f (x) = 1 + as x approaches to zero.

A: The definition of the function gx=x is given by, gx=x for x≥0=-x for x&lt;0 Thus, the left hand…