Consider the function: f(x) = 5x* – 2x³ + 3 Show that there is a value a e [0,2] such that f (a) = 15.

Q: A study found that a person's status In S(x, y) 3x1/3,1/2, where x is income (in thousands of…

A:

Q: Evaluate the composite function given that f(x) = 3x +5 and h(x) = Vx+3. (fo h)(6) (fo h)(6) =…

A:

Q: What is the parent function of y = −(x+2)(x − 8)? c. y=x³ d. y=x² 4 a. y = x 2 b. y=x² O A O B O C O…

A: To find the parent function of the function y=-2/3(x+2)(x-8)

Q: Let g (t) 4t3. Find g (1)

A: Given, gt=4t3

Q: 8 Use definition L{f(t)} = - S% e- 0 -st f(t) dt to find L{3t}

A: From definition of Laplace integral  for function ,, Here

Q: Investigators at a traffic accident used the function  d(v) = 0.04v2 + 0.8v,  where v is the…

A: Given the function: dv=0.04v2+0.8v where v is the velocity of car in mph and d(v) is the stopping…

Q: f(t) dt, where fis the function whose graph is shown. Jo Let g(x)=

A:

Q: Consider the two functions given below: 1 f(x) = /x- 8, g(x) = x-8 Identify the domain of g o f (x)

A: The functions are given by fx = x-8, gx = 1x-8 To evaluate: The domain of g∘fx

Q: Let f(x) = cxk be a power function such that f(3) is 30 times the size of f(1). What is the power k?…

A:

Q: Refer to the function below and evaluate it where f (7). /(t) = -3 (-3 ( +-1))' + -1

A:

Q: Find the function of the form f (x) = C a whose graph is given below where A is the point (-2, 25/3)…

A: The given curve is  f(x) =y= C ax Given point A( - 2, 25/3) and (0, 1/3) through which curve passes