Business Calculus : Marginal Average Cost, Revenue Function, Continuity and Tangent Lines (10 Problems)
Please see the attached file for the fully formatted problems.
Please see the attached file for the fully formatted problems.
The velocity v of blood that flows in a blood vessel with radius R and length l at a distance r from the central axis is v(r)=(P/4(eta)l)(R^2-r^2) where P is the pressure difference between the ends of the vessel and (eta) is the viscosity of the blood. Find the average velocity (with respect to r) over the interval 0 ≤
#1 A tumor may be regarded as a population of multiplying cells. It is found empirically that the "Birth Rate" of the cells in the tumor decrease exponentially with time, so that B(t)=B0e^(-at)... find the limiting population of the tumor. (See attachment for full questions)
A) Suppose your company has an international operation. Last month, when the exchange rate between the US Dollar and the Japanese Yen was 130.00, your company contracted to purchase inventory from a Japanese company for Y13,000,000, payable in 30 days in Japanese currency. This month the exchange rate is onyl 125.00. Calculate,
A) Suppose your company has an international operation. Last month, when the exchange rate between the US Dollar and Japanese Yen was 130.00, your compnay contracted to purchase inventory from a Japanese company for Y 13,000,000 payable in 30 days in Japanese currency. This month the exchange rate is only 125.00. Calcualte, if a
Given f(x)=2x^2+3 and g(x)=3-x, find f(x) * g(x).
An aircraft is going from destination A to B on a bearing of North 111 degrees East is traveling at a speed of 430 miles per hour. The wind is blowing out of the north to south at a speed of 25 miles per hour. What is the ground speed in miles per hour and the planes true bearing?
Let z = x^2 + y^2, where x and y are increasing at the constant rates of 2 units per second and 3 units per second, respectively. What is the set of points for which the rate of change of z is zero?
Let f(x) = 5 + 6x + 12x^2 - 2x^3 - x^4 and let g(x) = f(x) for any real number x. At what value of x is g(x) increasing most rapidly?
Pls see attachment How to get the above? 1) since 2) 3) we know that So,
1. Consider the following table: X 0 1 2 3 4 5 Y 1.5 2.4 3.6 4.5 5.6 6.7 For each of the following intervals, find the average rate of change: (a) [0,1] (b) [0,3] (c) [2,5] (d) [0,5] 2. Consider the following table: X 1 2 3 4 5 6 Y 24 26 28 27 25 23 For each of the following intervals, find the average rat
Please give step by step detailed solutions and answers to all. Please oh please do not skip steps. I need to see all these problems done so I can understand them and the way to think of solving them. I cannot find a one on one tutor and since I am auditing this course just for knowledge the teacher does not want to waste the
Please give step by step detailed solutions and answers to all. Please oh please do not skip steps. I need to see all these problems done so I can understand them and the way to think of solving them. I cannot find a one on one tutor and since I am auditing this course just for knowledge the teacher does not want to waste the
Use the Mean Value Theorem to find c = _________________ the value, or values, of c for the following function, in the interval [- 1, 1], that satisfies the theorem. For x>=0, G(x) = 1 + x^2 For x < 0, G(x) = 1 - x^2
Use the mean value theorem to find c = _______ The value(s) of c for the following function, in the interval [1,e], that satisfies the theorem f(x) = ln(x)
I am looking for a software package that can solve simple random equations like f(x,y) as an "input" and plot the 3-D results as the "output" using x, y and jx. My object is to view both real and imaginary parts of the graph on one x, y and jx 3-D coordinate system while using y as the independent variable. Complex math softwa
To go from one city to another a plane must fly 1756 km at an angle of 71 degrees south of east. How far south and east is the second city from the first? A boat heads directly across the river with a velocity of 27 km/h. The current parallel with the bank is at 14 km/h. What are the resulting direction and velocity of the bo
Suppose f is analytic on the disk |z|<1 and that f(0)=0. Let g(z)=f(z)/z. Then g is analytic on the region 0<|z|<1. How can you define g(0) to make g an analytic function on all of |z|<1? Briefly explain why the choice makes g analytic at 0.
Q. Show directly that the function {see attachment}, is integrable on R = [0,1] x [0,1] and find {see attachment} (Hint: Partition R into {see attachment} squares and let N ... {see attachment})
A long rectangular sheet of metal strip is to be made into a rain gutter by turning up two sisdes at right angles to the remaining center strip. The rectangular cross-section of the gutter is to have an area of 18 in^2. Find the minimum possible width of the strip. Could you please show all work so I can better grasp the co
Classify all the isolated singularities of the following functions (classify as removable, pole of order m, or essential). Explain the reasoning for each classification. *See attachment for functions*
Find the exact value by using a sum or difference identity. Which is the correct answer? cos 20 cos 25 - sin 20 sin 25 (angles are in degrees) 1 -√2/2 √2/2 √3/2
Celsius and Fahrenheit temperatures, C and F, are related by a linear equation of the form C= m F + b, and its graph is a straight line in the (F,C), plane that passes through two known points (F,C) = (32,0) and (212,100) for the standard freezing and boiling points of water, respectively. Find the equation of the above line giv
A particle is moving along the curve y=sqrt x. As the particle passes through the point (4,2), its x-coordinate increases at a rate of 3 cm/s. How fast is the distance from the particle to the origin changing at this instant?
A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 24 ft/s. (a) At what rate is his distance from second base decreasing when he is halfway to first base? (b) At what rate is his distance from third base increasing at the same moment?
A man starts walking north at 4 ft/s from a point P. Five minutes later a woman starts walking south at 5 ft/s from a point 500 ft due east of P. At what rate are the people moving apart 15 min after the woman starts walking?
A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight toward the building at a speed of 1.6 m/s, how fast is the length of his shadow on the building decreasing when he is 4 m from the building?
(a) If A is the area of a circle with radius r and the circle expands as time passes, find dA/dt in terms of dr/dt. (b) Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spill increases at a constant rate of 1 m/s, how fast is the area of the spill increasing when the radius
If a ball is thrown into the air with a velocity of 40ft/s, its height in feet after "t" seconds is given by y = 40t-16t^2. a) Find the average velocity for the time period beginning when t=2 and lasting (i) 0.5 seconds (ii) 0.1 second (iii) 0.05 seconds (iv) 0.01 second b) Find the instantaneous velocity when t=2.
Solve the following equation ... (see attachment)