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- Question 14 : A company selling widgets has found that the number of items sold, x, depends upon the price, p at which they're sold, according the equation x=70000/(0.5p+1)2x=70000(0.5p+1)2Due to inflation and increasing health benefit costs, the company has been increasing the price by $0.03 per month. Find the rate at which revenue is changing when the company is selling widgets at $8 each.Revenue is decreasing by __________ dollars per monthHint: Give your answer as a positive value.Please help me with this homework question: Strontium-90 is a radioactive material that decays according to the function........In Problem, find the function that is finally graphed after each of the following transformations is applied to the graph of y= √x in the order stated. (1) Reflect about the x-axis (2) Shift up 2 units (3) Shift left 3 units
- Question 4 Consider the function f(X) = 10x3 + 6x2 + 7x +20. For what value(s) of x: 4. Identify the points of inflexion of the function 5. Identify the largest and smallest value of the function in the interval -8≤ x ≤ 6 6. Classify the turning points of this functionIn Problem, find the function that is finally graphed after each of the following transformations is applied to the graph of y= √x in the order stated. (1) Reflect about the x-axis (2) Shift right 3 units (3) Shift down 2 unitsGiven a function of the form y = a[k(x – d)]n + c, where a > 0, the transformation that occurs by changing the value of a is Question 18 options: a) a vertical translation b) a reflection in the x-axis c) a horizontal stretch or compression d) a vertical stretch or compression
- A function f is given, and the indicated transformations are applied to its graph (in the given order). Write an equation for the final transformed garph. f(x) = √x; shift 2 units to the leftQuestion 1A small publishing company is planning to publish a new book. Let C be the total cost of publishing the book (in dollars). Let N be the numberof copies of the book produced. For the first printing, the company can produce up to 300 copies of the book. Suppose that C=25/V + 500 givesC as a function of N during the first printing.Identify the correct description of the values in both the domain and range of the function. Then, for each, choose the most appropriate set ofvalues.3.4(1) Uses the fundamental principles to obtain the function derived from the function ( shown in the picture ). Make sure to show your work/calculations step by steps.
- The function A(t) gives the balance in a savings account after t years with interest compounded continuously. The graphs of A(t) and A′(t) are shown to the right.Question 8 The following is a piece wise function for the electricity costs in Gretel's city of residence. What would Gretel's electric bill if she used 500 kWh in a month? Round the answer to the nearest penny if necessary. Only input the number. Do not input the unit. For example: 25.37 C(k)={$7.56+$0.0685×k,$34.96+$0.0962×(k−400),0≤k≤400400<k C(500)=$ [bill]Question 4 Consider the function f(X) = 10x3 + 6x2 + 7x +20. For what value(s) of x: Find the turning points of the function Find the interval over which the function is strictly monotonic increasing. find the interval over which the function is convex