The time t in hours, employees are on the working on assembling widgets. The employee rate of change of productivity in units per hour is described by r(t) = 171 (t² + 6t) +³ + 3t + 27 lim r(t) = = t→7 ,0 ≤ t ≤ 8 units per hour If needed round to 4 decimal places

Q: Q2// A – If y = tan-1(-1), find the value of y without use Calculator. B- Find the Domain, Range and…

A: To find Value of y if y=tan-11And  to graph y=2cos(x-π3)

Q: Graph y = - x“ + 2x² – 10 function using x- and y-intercepts, critical points, points of inflection,…

A: Plot the graph for f(x).

Q: Find a cubic function y = ax³ + bx² + cx + d whose graph has horizontal tangents at the points (-2,…

A:

Q: 11. The line 8x - y - 8 = 0 is tangent to the graph of ƒ (x) = (x + k)(x² − 1) at the point (1, 0).…

A:

Q: #4. Determine the following attributes of f(x)= log,(3x+1)+2. a) `Find the x-intercept(s) of fx).…

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: Let P(t) = 100(1.025)' be the estimated population of wolves in a provincial park and S(t) = 200 +…

A:

Q: f(x)=x2+2x-1 g(x)= -500/x, x ≠0 k(x)= |x-2| For each function, do the following: Graph the…

A: a) fx=x2+2x+1 Now, f'x=2x+2 Graph is,

Q: find the first and second devivatives involwing differencay Producte and guatients x+ 3 yo () () 12…

A: The given functions are 1. y =x2+312xx4-1x32. y = secx

Q: We encounter the composition h(T) = L(A(T)) with L and A defined as: A, the amount of ice stored in…

A: a) As the temperature increases, i.e., dT is small but positive, we must have a lesser amount of ice…

Q: Pleased show step-by-step

A: The given function is

Q: For the function f(x)=1/4-x^2, find the horizontal and vertical asymptotes.

A:

Q: Determine several level curves of the graph f(x,y) = y/x making sure to indicate the height c of…

A: Find the attachment