Consider the function f(x) that is described by the statment: “ the function decreases to the point (-3, -2) and then increases to the point (2,4) and then decreases again". [A: 4] A. Sketch f(x) roughly. B. Determine the interval where the first derivative is positive or negative. C. Determine the sign (+/ -) of the value of f" (-3) and f" (2)

Q: The value, V, of a computer can be modeled by the function V (t) = 1, 300(.61)', where t is the…

A: Given Function of V : V(t) = 1300 (0.61)t

Q: Find the equation of the line that is perpendicular to (1/5)y + 5 x = 6 at the point (1,5). Express…

A:

Q: Determine which of the following equations defines y as a function of x. (a) x-y = 16 (b) x-2y = 8

A: x-y2=16 On simplification, we get ⇒y2=x-16⇒y=±x-16 Clearly for each value of x, there are two values…

Q: If possible, represent y as a differentiable function of x.                                    a. x2…

A:

Q: Let P = (x,y) be a point on the graph of y = x- 12. %3! Express the distance, d, from P to the…

A: The given problem is to find the distance function in terms of x where distance between origin and…

Q: Determine whether the equation defines y as a function of x. y = 1/x

A: Given y=1x

Q: The graph of a function f is given. Use the graph to find the value f1 (3). Q 6-

A: For inverse function value of x and y get interchanged   Given f-1(x)=f-1(3) x = 3 , y = ? as  value…

Q: Determine whether the equation x = y2 defines y as a function of x.

A: Consider the following equation: x=y2 For x>0 there are two values of y. Substitute x=4 in the…

Q: f(z) = +4.52- 12-3 a) Find the first and second derivatives. f'(z) D f"(z) = b) Identify the graph…

A:

Q: Use the first derivative test and the second derivative test to determine where each function is…

A:

Q: An F-curve has df = (12, 7). What is the number of degrees of freedom for the a. numerator? b.…

A: The degrees of freedom for the F-statistic is, df=(k−1, n−k). The F-distribution has two numbers of…

Q: Determine whether the equation or table defines y as a function of x y + 1/y = x + 1/x

A:

Q: Consider the function Y = (X*Z)0.5. At what point is the intersection of the line Z = - 1.4X + 30…

A: The graph of the function Y = (X*Z)0.5, the line Z = - 1.4X + 30 and contour line (in fact it is the…