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6. Then number of infected individuals in a population can be modeled with the following function:...
Revenue for the numbers of units X is given by R=36X^2-0.05X^3 Find the number of units...
Find all of the critical numbers for the function f(x) = 8 + 4x^3 − x^4...
Find the absolute maximum value of the function f(x,y)=x2-4xy+y3+4y on the triangular region with vertices (-1,-1),...
Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty...
Since the creation of a social program, the percent of persons 65 years and over with...
The function ?(?) = (sin ?)3 is a composition of two basic functions. Identify the outer...
Brain weight B as a function of body weight W in fish has been modeled by...
A swimming pool is 20 ft wide, 40 ft long, 3 ft deep at the shallow...
A construction worker pulls a five-meter plank up the side of a building under construction by...
An unknown radioactive element decays into non-radioactive substances. In 860 days the radioactivity of a sample...
Show that the curve y = 3x^3 + 8x − 2 has no tangent line with...
the average ticket price for a concert at the opera house was $50. the average in...
Consider the surfaces x^2 + y^2 + z^2 = 1 and (z +√2)^2 = x^2 +...
Change from rectangular to spherical coordinates. (Let ρ ≥ 0, 0 ≤ θ ≤ 2π, and...
Solve the initial value problem y'(x) = 10e2xy(x) with y(0) = 4e5
A 1000-liter (L) tank contains 500L of water with a salt concentration of 10g/L. Water with...
Suppose that two boats leave a dock at different times. One heads due north, the other...
Hello, I posted this question last but I COULDN'T READ the person's writing. I couldn't tell...
Using judicious guessing, solve the following differential equation: y''+3y=x2-1
Differentiate the following functions. Is it a product or quotient of functions or composition of functions?...
Kelly is flying a kite and the kite is 100 ft above the ground (vertically). Kelly...
Find the length of the curve 1) x=2sin t+2t, y=2cos t, 0≤t≤pi 2) x=6 cos t,...
find g'(x) g(x)= integral (-3/4 + t + cos(Pi/4 (t^2) + t))) 0<x<3
Use logarithmic differentiation to find the derivative of the function. y = (x5 + 2)2(x3 +...
verify that the function satisfies the three hypotheses of rolles theorum on the goven interval f(x)=...
Find the absolute maximum and minimum values of f on the set D. f(x, y) =...
Find the absolute maximum and minimum values of f on the set D. f(x, y) =...
Marginal Cost The total weekly cost (in dollars) incurred by Lincoln Records in pressing x compact...
find the distance from (3,4,9) to each of the following a) the xy-plane b) the yz-...
f(x)=2x^3−15x^2−36x+8 on the interval [−5,7]. Find the average or mean slope of the function on this...
Let f(x)=4+12x−x^3. Find (a) the intervals on which ff is increasing, (b) the intervals on which...
Suppose an airline policy states that all baggage must be box-shaped with a sum of length,...
Minimizing Average Cost The total monthly cost (in dollars) incurred by a certain guitar manufacturer in...
Each unit of a product can be made on either machine A or machine B. The...
Stevenson Distribution has found that they can sell 2400 of a certain air filter for $36....
Simpson’s Shoes expects to sell 315 pairs of a certain running shoe in a year. There...
Aforce of 10 lbs is required to hold a spring stretches 4 inches beyond its natural...
1. Graph the curve given in parametric form by x = e t sin(t) and y...
Find the point on the plane 2x+3y+8z-11=0 closest to the point (-4,4,1)
Find all relative extrema and classify each as a maximum or minimum. Use the second-derivative test...
Let I=∫π/30tan6(x)sec(x)dx.I=∫0π/3tan6(x)sec(x)dx. Express the value of ∫π/30tan8(x)sec(x)dx in terms of I.
A spring with a spring constant k of 100 pounds per foot is loaded with 1-pound...
f(x,y)= (3x^2)+(4y^3)-24xy+29 does this have a local max or min or both? does it have a...
Problem 1. (1 point) Find the critical point of the function f(x,y)=−(6x+y2+ln(|x+y|))f(x,y)=−(6x+y2+ln(|x+y|)). c=? Use the Second...
1. Sketch the polar function r = (θ − π/4)(θ − 3π/4) on the interval 0...
JUST NEED PART G PLEASE. THANK YOU. Consider the vector a= <5,3>. Find another vector b...
A rope attached to a boat is being pulled in at a rate of 11 fps....
Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x^4− 50x^2...
Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x^7ln(x) (a)...
A tank in the shape of an inverted right circular cone has height 7 meters and...
(2 pts) A population of bacteria doubles every 8 hours. We start with 250 cells. How...
Find the local maximum and minimum values and saddle point(s) of the function. If you have...
f(x, y, z) = xe4yz, P(1, 0, 3), u = <2/3, -1/3, 2/3> (a) Find the...
Find the local maximum and minimum values and saddle point(s) of the function. If you have...
Rewrite the following integral using the indicated order of integration and then evaluate the resulting integral....
Let f be the function defined by f(x)=cx−5x^2/2x^2+ax+b, where a, b, and c are constants. The...
Gandalf the Grey started in the Forest of Mirkwood at the point (-1, 1) and arrived...
1. Find the absolute maximum value and the absolute minimum value,if any, of each function. (a)...
A rectangular bulk fruit storage container with an open top is to have a volume of...
When production is 4300, marginal revenue is 3.5 dollars per unit and marginal cost is 3.25...
) A baseball team plays in a stadium that holds 58000 spectators. With the ticket price...
total revenue and total cost functions for the production and sale of xTV's are given as...
Use Lagrange multipliers to find the maximum and minimum values of f(x,y)=6x+y on the ellipse x2+16y2=1
Find the absolute maximum and minimum values of the following function over the indicated interval, and...
Find equations of the following. 2(x − 8)2 + (y − 9)2 + (z − 1)2...
The altitude of a triangle is increasing at a rate of 2.5 cm/min while the...
A Norman window is constructed by adjoining a semicircle to the top of a rectangular window...
For what values of a and b is the following equation true? lim x→0 (sin(2x)/x^3 +...
The graph of f(x)=2x^3+12x^2−72x+8 has two horizontal tangents. One occurs at a negative value of x...
Assume that the demand function for tuna in a small coastal town is given by p...
The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced...
at what point does the normal line through (1,2,1)
A box with an open top is to be constructed from a square piece of cardboard,...
Find the point on the line 3x+7y+1=0 which is closest to the point (−4,4)
2. (a) Find the point on the cardioid r = 2(1 + sin θ) that is...
f(x)=8x^3-18x^2-24x+8 Find the critical numbers List any intervals on the function in which it is increasing....
C = -0.1733(x)2+ 424.81(x)+ 119,384 R= – 0.4375(x)2 +937.5(x) P= –0.2642(x)2+ 512.69(x) – 119,384 1. Calculate how...
Solve the initial value problems in Exercises 11–20 for r as a vector function of t....
1) Use triple integration to find the volume of a sphere with radius 5 in cylindrical,...
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