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Optimization problem: You need to fence in a rectangular area for a garden outside of your...
The base of a 28 foot ladder moves away from a vertical wall at a constant...
Find an equation of the tangent plane to the given surface at the specified point. z...
Find the area ? under the graph of the function ?(?)=13−? from 1 to 9. (Give...
C(0) = 1000 and C'(x) = 400e^(-0.1q) + 8. Then C(x) is A. -4000e^(-0.1q) + 8q...
A car is travelling on a straight highway where the speed limit is 110 km/h. You...
Calculate ZZ D f(x, y) dA as an iterated integral, where f(x, y) = −4x 2y...
Find the equation of the function y= a/(1+be^(-kt)) with a y-intercept of 1/11, inflection point at...
Calculate double integral D f(x, y) dA as an iterated integral, where f(x, y) = −4x...
the velocity (in feet/second) of a projectile t seconds after it is launched from a height...
find the vertices,foci and asymptotes of the hyperbola and sketch its graph y^2/25-x^2/9=1 show all work...
Calculate the total area of the region described. Do not count area beneath the x-axis as...
Find the area of the region that lies inside the first curve and outside the second...
Suppose you are hiking on a terrain modeled by z = xy + y^(3) − x^(2)...
squares with sides of length x are cut out of each corner of a square piece...
Stereo Inc. sells a stereo system for $200 down and monthly payments of $60 for the...
find: lim x-e ((1-lnx)/((x-e)lnx)) by interpreting this limit as an appropriate derivative
1. Find the derivative of each function. Please I just need the first-two steps not the...
Find an equation of the tangent line to the graph at the given point. 3(x2 +...
Find the radius of convergence, R, of the series. ∞ n = 1 (x + 6)n...
A car traveling at 45 miles per hour is brought to a stop, at constant deceleration,...
f(x)=1/2x ln x^4, (-1,0) a) find an equation of the tangent line to the graph of...
Anticipating further expansion of the production line, the company wants to find the dimension of the...
Answer the following questions about the function whose derivative is given below. a. What are the...
The company is expanding its production line to make metal cans out of different materials. These...
Evaluate the following. f(x, y) = x + y S: r(u, v) = 5 cos(u) i...
The Amount of an Endowment Mel Thompson wishes to establish a fund to provide a university...
Find a power series representation for the derivative of x/(1+x^2). State its radius of convergence as...
A cargo container in the shape of a rectangular box must have a volume of 480...
One card is drawn from a deck of 20 cards numbered 1 through 20. Find the...
Find dz/dy implicitly. ln(xy2) + zy4 + z3y2x3 + z5x-3 + z2y = 0
Find the area inside r = 2sin(3θ) and outside r = 1
write the polynomial equation f(x) in factored form with leading coefficient -2, and zeros -1(double root),...
Use the definite integral to find the area between the x-axis and f(x) over the indicated...
Find the values of x, y and z that correspond to the critical point of the...
D(x) is the price, in dollars per unit, that consumers are willing to pay for x...
A hotel has 260 units. All rooms are occupied when the hotel charges $80 per day...
Graph the following polar curve. Find and label the angle of all horizontal and vertical tangents,...
A box with a square base and open top must have a volume of 296352 cm3....
Indicate whether the following statements are true or false and justify the answer. (I) If f...
53) Consider the function f(x) whose second derivative is f''(x)=7x+5sin(x). If f(0)=2 and f'(0)=4, what is...
Find the Maclaurin series of and the radius of convergence for the function fx=ln(1+x)
Find the angle between a diagonal of a cube and one of its edges. (Round your...
Given f(x)= x3 - 6x2-15x+30 Determine f ’(x) Define “critical point” of a function. Then determine...
A spotlight on the ground shines on a wall 12 m away. If a man 2...
Two cars start moving from the same point. One travels south at 56 mi/h and the...
If a ball is thrown upward with a velocity of 64 ft/sec, then its height after...
Find the equation of the tangent line and the line perpendicular to the curve y4= 4x4+6xy...
The illumination of an object by a light source is directly proportional to the strength of...
Solve the given nonhomogeneous O.D.E by variation of parameters or undetermined coefficient. y"+y=cosx+secx
Use a Taylor series to solve y't-6y=9, y0=2
1. You are performing 5 independent Bernoulli trials with p = 0.3 and q = 0.7....
Find the average value of the function f(rhoρ, variant phiϕ, thetaθ)equals=rhoρ over the solid ball rhoρ...
The height of a triangle is decreasing at a rate of 1 cm/min while its area...
Find the absolute maximum and absolute minimum values, if any, of the function. (If an answer...
Problem 1: Find a non-zero function f so that f'(x) = 3f(x). The exponential function f(x)...
Create an Optimization problem where the purpose is to minimize the cost of something. Please also...
The consumer demand curve for Professor Stefan Schwarzenegger's dumbbells is given by q = (110 −...
1. Find the area of the parallelogram that has the given vectors as adjacent sides. Use...
Use cylindrical coordinates to find the volume of the solid bounded by the graphs of z ...
a trough 9 m long, 2 m wide, 1m deep. vertical crosssection of the parallele to...
find a point of the graph of the function f(x) = e^2x such that the tangent...
1. A 600-room hotel in Las Vegas is filled to capacity every night at a price...
Use a doubleintegral to find the volume of the tetrahedron with vertices (0,0,0), (2,0,0), (0,4,0), (0,0,12) Make...
Two functions, u(x,y) and v(x,y), are said to verify the Cauchy-Riemann differentiation equations if they satisfy...
46) A ball is shot from the ground straight up into the air with initial velocity of...
The position (in meters) of an object moving in a straight line s(t)=√ 3t+1 −2t^2+1 where...
Calculate where f′(x) = 0 if f(x) = (2x2 + 4)2(−x2 + 4)4.
Find the equation for the line through the point (2,0,2), parallel to the plane x+y+z=10 and...
Find the intervals where the function f (x) = ln(x) + 3x2 − x is concave...
Find the absolute maximum and minimum of f(x,y)=5x+5y with the domain x^2+y^2 less than or equal...
The demand for a certain product is p = 0.1x2 - 0.4x + 65, where...
find the intervals where y is increasing and decreasing as well as the location of the...
Determine whether the given vectors are orthogonal, parallel, or neither. a = -i + 3j +...
In spherical coordinates, find the volume of the region bounded by the sphere x^2 + y^2...
A uniform magnetic field ?B has constant strength ?b teslas in the ?z-direction [i.e., ?=〈0,0,?〉B=〈0,0,b〉 ]...
Find a fundamental set of solutions of x^2 y"-2 x y' + (x^2 +2) y = 0...
Inventory Control and Planning The demand for motorcycle tires imported by Dixie Import-Export is 47,000/year and...
Inventory Control and Planning McDuff Preserves expects to bottle and sell 1,800,000 32-oz jars of jam...
45) A fence 6 feet tall runs parallel to a tall building at a distance of...
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