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1. The price function for a product is p(t) = (60 - 3/t) and the demand function is x(t) = (1200 - 0.05t2). Find R'(t) when t=80
2. If f(x) = x(6 +e3x) find the value of f'( 1.5 ).
3. In order to boost sales, Quink Inc introduces a new line of Pink Quinks. The revenue equation is given by R(x) = 75 4. x2e-0.09x. What is the maximum revenue?
5. If f(x) = e3.0x / (1+ 3 x) find the value of f'( 0.3 ).
6. If f(x) = (1+e3.5x)(1-e2x) find the value of f'( 0.3 ).
7. If f(x) = x2( 14 -e1-2x) find the value of f'( 1.6 ).
8. Due to the phenomenal success of Zinc Pink Quinks, a website dedicated to them is set up. Management wishes to know is sales are related to how many times a day people click on the Zinc Pink Quink Link. It is found8 that demand is given by the equation x = - 102 log(t/19 ), where t is the number of clicks per day measured in thousands. If sales are 172 per day how many clicks can be expected per day?
A college cafe receives a profit of $1.25 for each cup of house tea that the sell, $1.40 for each cup of the premium brand, and $1.50 for each cup of their special blend that they sell.
Find the characteristic polynomial of matrix A. Show all details of your calculations. You want to complete this part by hand, but feel free to use technology to double-check your result
Given the following figure, where L1 and L2 are parallel, find the value of x and the measures of angle A and angle B. A = 2x + 62, B = 4x - 18
Show that any complex number z with |z| = 1, other than z = 1, can be expressed as with an appropriate choice of the real parameter t.
How many solution sets do systems of linear inequalities have? Must solutions to systems of linear inequalities satisfy both inequalities? In what case might they not? Provide an example and a reference.
Suppose you have two functions f and g and you use them to form a composite function. Under what conditions will they be the same? Include a numerical example in your answer.
Find the equation of the tangent line at the indicated point- f(x) = sin(x)sec(x) at x = π.
After this process completes ( 1 full minute passes) how many balls are left in the barrel?
Estimate the value of the property using a DCF model with a discount rate and what is the value of the property to the nearest whole dollar?
Describe the set of points whose distance from the y-axis equals the distance from the xz-plane. Find an equation for the set of points.
Find the general solution for system of equations with respect to the basic matrix B = (-a1 -a2 -a4), where -ai represents the ith, column of A.
Graph of a certain function is given. Using the information of transformation given in equation, determine the coordinate of a new point
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