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An oil refinery is located on the north bank of a straight river that is 4...
The price of a certain commodity in dollars per unit at time t (measured in weeks)...
Marginal Cost A division of Ditton Industries manufactures a deluxe toaster oven. Management has determined that...
Solve the given LDE using the method of undetermined coefficients. y'''-y'=4e^-x+3e^2x; y(0)=0, y'(0)=-1, y''(0)=2
Consider the function f(x) = ln (x) when x>0 1) Find df (x) / dx and...
Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select...
Find the intervals where f(x) = 2x3 + 3x2 - 36x + 7 is increasing, decreasing,...
Use the given transformation to evaluate the integral. 10x2dA, R where R is the region bounded...
The automobile assembly plant you manage has a Cobb-Douglas production function given by P = 10x^0.3y^0.7...
Find the local maximum and minimum values and saddle point(s) of the function. If you have...
8)Determine the intervals on which the function f(x) = 4/x2-81 is continuous. 9)Find dy/dx for the...
Calculate the consumers' surplus at the indicated unit price p for the demand equation.(Round your answer...
Please Explain what L'Hopitals rule is how it is used
Why does the value of a converging nonincreasing alternating series lie between any two consecutive terms...
Find the equation of the line passing through the point (1,2,3) and perpendicular to the lines...
Consider the polar curve r =1 + 2 cos(theta). Find dy dx at theta = 3...
The demand for a particular commodity when sold at a price of p dollars is given...
QUESTION 2 Consider the differential equation: x2 y'' - 4 x y' + 6 y =...
(a) Find the maximum and minimum values of f(x) = 3x 3 − x on the...
Obtain the solution to the initial value problem kt + c(k)kx = 0, k(x,0) =(150 |x|...
Define g(x) = f(x) + tan-1 (2x) on [−1, √3/2 ]. Suppose that both f'' and...
Me and my friend are 30 ft apart. He begins to run in a line that...
The object starts moving along a straignt line from point A with velocity v(t)=(t-2), where time...
Please circle answers 1. A company that produces cell phones has a cost function of C(x)=3x^2−1500x+39900...
3. Given the function ?(?) = (x^3/3)-(3x^2/2)+2x: a. Find all critical numbers. b. Identify which, if...
Use the method of Lagrange multipliers to find the maximum and minimum values of F(x,y,z) =...
Let r(t) = < 2 + cost, sin t, t > a. Find the tangent line...
Let f be a function of two variables that has continuous partial derivatives and consider the...
The velocity function (in meters per second) is given for a particle moving along a line....
IV. Verbal problem The ACME co-company plans to market the Electro-XXX. The marketing department has developed...
A common solution to the wave equation is E(x,t) = A ei(kx+wt). On paper take the...
A trapezoidal plate, with 9m and 5m bases and 3m height, is submerged vertically in a...
URGENT Can someone answer these two questions within the next hour? Use Green’s Theorem to find...
Verify that the function in the following question is the solution of wave equation w=f(u), where...
Suppose a spring with a natural length of 2 m has spring constant 4 N/m. (a)...
Consider the vector field F = ( 2 x e y − 3 ) i +...
Let D={ (x,y) : x2+y2 ≤ 4x+5 and y≥ 0 } . Express the double integral...
Consider the surface S in R3 defined implicitly by x**2 y = 4ze**(x+y) − 35 ....
A tank is 6 m long, 4 m wide, 4 m high, and contains kerosene with...
1. What is the derivative of f(x) = cosx/sinx 2. What is the derivative of f(x)...
The total profit Upper P(x) (in thousands of dollars) from the sale of x hundred thousand...
Let F(x)=f(x3) and G(x)=(f(x))3 . You also know that a2=12,f(a)=3,f′(a)=8,f′(a3)=4. Find F'(a)= and G'(a)= . Let...
A rectangular recreational field needs to be built outside of a gymnasium. Three walls of fencing...
Consider the defnite integral 0to1 ∫ dx/x^p (1) Is this an improper integral for all values...
Use the divergence theorem to calculate the flux of the vector field F = (y +xz)...
The number of US identity fraud victims annually between 2003 and 2010 can be modelled by...
Compute the work done by the force F= <sin(x+y), xy, (x^2)z> in moving an object along the...
find the graph g(x) x^4+2x^3+1; (1)fint the intervals on which g(x) is increasing or decreasing (2)find...
Find the center of mass of a solid of constant density that is bounded by the...
For what values of c is there a straight line that intersects the curve y=x^4+cx^3+12x^2-2x+8 in...
Where are the local max/min for the function 7sin(7??) between ?=0 and ?=2/7 ?
The Pampered Pig, purveyors of premium pork products, estimate that the total cost of producing ?q...
approximate the value of ln(5.3) using fifth degree taylor polynomial of the function f(x) = ln(x+2)....
Find the absolute maximum value and the absolute minimum value of the function f ( x...
Find the Taylor series for the function f(x)=sin(pi(x)-pi/2) with center a=1
Problem 1. For the problems below determine the error in the solution at t=10 and t=20...
Consider F and C below. F(x, y) = (6 + 4xy2)i + 4x2yj, C is the...
Calculate dy dx . Simplify your answer. HINT [See Examples 1 and 2.] y = 3x...
Find the volume below the ellipsoid x 2 + y 2 + 1 4 z 2...
If $2000 is invested at 6% interest, find the value of the investment (in dollars) at...
Frank's automobile engine runs at 100°C. On a day when the outside temperature is 29°C, he...
A tank with a capacity of 1600 L is full of a mixture of water and...
The population P(t) of mosquito larvae growing in a tree hole increases according to the logistic...
Find the power series representation of 2x^3/(1+x)^2
Demonstrate that the curve r=2cos(θ) is a circle centered at (1,0) or radius 1. You will...
a fixed point of a function f is a number c in its domain such that...
Sketch the graph. Set up (DO Not Evaluate) an integral for the volume of the solid...
(Optimization) A cylinder measures 11.1cm tall and has a diameter of 7.5cm. Mathematically redesign the cylinder...
A company produces x widgets for a cost of C(x) dollars and sells them for 2280...
If y (x) is the particular solution obtained from y (x) = C1 cos (x) +...
Estimate the area under the graph of f(x)=1/(x+3) over the interval [−2,1] using ten approximating rectangles...
A cannonball is shot into the air from the top of a tower. Its height above...
Use the definition of the Laplace transform to solve the IVP: 4y''− 4y' + 5y =...
Draw a contour map for the surface f(x,y)=16-x^2-y^2 using the contour lines C= 0, 4,7 and...
Find the maximum and minimum values of f(x,y,z)=2x-2y-z on the closed and bounded set 4x^2+2y^2+z^2 ≤...
Solve differential equation: y'-5y-x2ex -xe5x=0
Use a coordinate change to find the area of the parallelogram bounded by the lines y...
(1 bookmark) Use the midpoint rule to estimate the area under graph of f(x) =5/x and...
Problem 43.) a.) Use Excel to graph the function f(x) = x3 -6x2 + 9x -6...
Problem 40.) A member of the finance staff at a major publisher determines that the cost...
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