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- A company operates a fleet of delivery trucks. Study shows that gallons of fuel consumed per mile of driving, F(x), is related to the speed at which a truck is driven, x miles per hour, by the function: F(x) = k1/x +k2x; 10≤ x≤ 80, where k1 and k2 are parameters that vary somewhat from truck to truck. Now, Find and write the expression for the speed, x, that will lead o minimal fuel consumption per mile driving. What speed will provide minimal fuel consumption per mile of driving for a truck having k1 = 4.9, k2 = 0.004?If f(x) =2x then f(5) = ---------. Here f(5) = 10 is an abbreviation " if x= -------- in the function f, then y =-------. the ordered pair belongs to f.Find the point of inflection of the graph of the function f(x)=x^3-3x^2+21x-19 (x,y)=( ) Describe the concavity in interval notation
- solve for the inverse of the function not the function flipped but it in f-1x format, please X+3 ------ this is a division line thing 2Find the domain of the function. f(x) = 20x +3 x-7 (−∞, 7) ∪ (7, ∞) (−∞,3/20) ∪ (3/20, , ∞) (−∞, −7) ∪ (−7, ∞) (−∞, −3/20) ∪ (-3/20, , ∞)Study the continuity of the functions in the points mentioned
- To conduct an experiment, the room temperature in a lab needs to be as close as possible to -2 degrees Celsius. Any variation from this target temperature, whether warmer or cooler, is considered an error that could affect the experiment. Function v gives the absolute temperature error as a function of the room temperature in degrees Celsius, x. Select all statements that are true about the function and the situation.Determine where the function is concave upward and where it is concave downward. (Enter your answers using interval notation.) f(x) = 3x4 − 30x3 + x − 3 concave upward: ____________ concave downward: ____________find the inverse of the function. (Enter the domain using interval notation.) f(x)=4x-8 in square root +3 out of square root f^-1(x)= , on domain=
- With a function of x^4 - 50x^2 + 9, and increasing intervals at [-5, 0] and [5, infinity), and decreasing at (-infinity, -5] and [0, 5], what are the two inflection points?What are the discontinuity and zero of the function f(x) = x^2+8x+7/x+1 Discontinuity at (1, 8), zero at (7, 0) Discontinuity at (1, 8), zero at (−7, 0) Discontinuity at (−1, 6), zero at (7, 0) or Discontinuity at (−1, 6), zero at (−7, 0)Help Solve in Product Rule find f’(x) and f’(c) ; g(x)= x^2 - 4 / x + 3 , c=0