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What is the order of convergence of f(x) = cos(x) - x? can assume in [0,1]...
The function F(X)= 700e^0.03x represents the rate of flow of money in dollars per year. Assume...
Suppose that f(x,y) = y/(1+x) at which {(x,y)∣0≤x≤4,−x≤y≤√x}. D Then the double integral of f(x,y) over...
1. Suppose you’re given the following: a) the demand equation p for a product, which is...
A manufacturer’s marginal revenue is ? (?) = 20? 2 + 2.5? dollars per unit when...
(1 point) Math 216 Homework webHW9, Problem 9 Solve the initial value problem ?″+8?′+16?=?(?−3)−?(?−6),?(0)=2,x’(0)=2
Write the equations in cylindrical coordinates. (a) 7x2 − 3x + 7y2 + z2 = 1...
It costs a restaurant owner $4.80 per plate to produce the dinner special and fixed costs...
Let ?(?, ?) = 1/4 ln(2?^2 + 2?^2 + 2) + ? + ? be a...
Please show work 1. Find the first derivate a). y= In(2x+5/4x-8) b). y= xe^x+1 c). y=...
1. Suppose that you are standing on the ground, under the flight path of an airplane....
Find a Linearization L(x,y) of the function at each point. f(x,y)=x^2+y^2+1 a) (4,2) b) (3,2)
Bobby's Beach Ball company sells a certain style of beach ball for $6 each. They have...
Find the area of the indicated region. We suggest you graph the curves to check whether...
Determine intervals of increase and decrease and intervals of concave up and down for y =...
Use cylindrical coordinates. Evaluate x2 + y2 dV, E where E is the region that lies...
Find a function f(x) satisfying f ' '(x) = sqrt{x}, f ' (1)=0 and f(1)=0. You must...
approximate the area under the graph of f(x) and above the x-axis with rectangles, using the...
1) A man is in a boat 2 miles from the nearest point on the coast....
Find the radius and interval of convergence for the taylor series centered at x=0 for g(x)=x^2ln(1+x/3)....
Q1/ At what point on the curve x = 3t2 + 8, y = t3 −...
In an earlier week, an online music store sold 1000 albums at a price $10 per...
Find the length of the curve ?(?) = ? + ?^2 j + t^3 k in...
Find the general term for the Taylor series for xarctan(x/3)
1. Find the area between the curve f(x)=sin^3(x)cos^2(x) and y=0 from 0 ≤ x ≤ π...
Let S = {v1,v2,v3,v4,v5} where v1= (1,−1,2,4), v2 = (0,3,1,2), v3 = (3,0,7,14), v4 = (1,−1,2,0),...
Find the absolute maximum and absolute minimum values of f on the given interval. f(x)= ln(x^2+x+1),...
Acme finds that its monthly revenue, in dollars, from the sale of x carry-on suitcases is...
Find the general solution of y′′ − y′ − 2y = 10 cos x.
Given that: f(x) = { cos x , 0 < x < 2π (a) Sketch extended...
1)Find an equation of the tangent plane to the surface given by the equation xy +...
Find an equation of the tangent plane to the surface given by the equation xy +...
Your sister wants to construct a rectangular garden with three separate areas for the two of...
Find the derivative of the following: f(s)=cos(π/2(s))sin(π/2(s)) If f(q)=e−5qcos(2πq), then f′(q) is f(y)=cos(π/2*y2) e3x+7/x2-1 If f(q)=e-5qcos(2πq),...
Consider the region bounded by y = x2, y = 1, and the y-axis, for x...
1) Find the net change in f(x) on 0≤x≤3 where: f'(x)=(x^3)/√(36−x^2) Express your answer in exact...
Find the equation of the tangent line to y=8csc(x)-8cot(x) at x = 3pi/4. Let y =...
1) Write and answer a question that asks to find the derivative of an implicitly defined...
Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the...
Find the Maclaurin Series for 2xsin(3x)
The altitude (height) of a triangle is increasing at a rate of 1 cm/min while the...
Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by...
Find the point on the line 4x+2y−4=0 which is closest to the point (1,3).
Find the Div of the vector field: F = 3e-xsin(y*x)i + 3e-xcos (y2z)j + 3excos (y2z2)k...
Calculate the iterated integral. 16 1 4 x y + y x dy dx 1
The number N(t) of supermarkets throughout the country that are using a computerized checkout system is...
Use Laplace transforms to solve the initial value problem ?″+6?′+11?=5?−?,?(0)=0,?′(0)=4. x ″ + 6 x ′...
Determine whether the following series is absolutely convergent, conditionally convergent, or divergent. State the name of...
7. Sketch complete graphs of the following; indicate where the function is increasing/decreasing, has local extrema,...
2J of workare required to stretch a spring from 30-42cm. How much work to stretch it...
Find the exact length of the curve. y = ln(sec x), 0 ≤ x ≤ π/3
dy/dt=x , dx/dt=6x-8y, x=1 and y=-1 when t=0
Double integral of the function x^2+y^2 over the square with vertices (0,0), (-1,1), (1,1), (0,2) Using...
Consider the following series: lim n=1 to infinite 1 + 2n/ 3^n (a) Determine the value...
Let f(x) = 2/ x and a = 1. (a) Find the third order Taylor polynomial,...
The function ?f has continuous second derivatives, and a critical point at (-1, -10). Suppose ???(−1,−10)=−16,???(−1,−10)=−8,???(−1,−10)=−4fxx(−1,−10)=−16,fxy(−1,−10)=−8,fyy(−1,−10)=−4....
How many terms for the Maclaurin series f(x) = e^x at x = 1 needs to...
A company produces two types of solar panels per year: x thousand of type A and...
Identify all relative extreme values of f(x). f(x) = x4 − 18x2 + 9
A ball is dropped from a height of 0 feet each time it drops H feet...
Find the projection of u = −i + j + k onto v = 2i +...
Use Laplace Transform to solve the initial value problem x''+2x'+2x=e-t x(0)=x'(0)=0.
Given the alternating series: sigma(2 to infinity): (-1)^n / ln n Determine if the series converge...
A trough is filled with a liquid of density 885 kg/m3. The ends of the trough...
If y = -3 csc (3-7x^2), find dy/dx.
A sheet of paper 36 cm-by-54 cm is made into an open box (i.e. there's no...
suppose that a company needs 1,500,000 items during a year and that preparation for each production...
Determine the critical numbers? f(x) = x^3 + 5/2x^2 - 28x
Consider the function: f(x)=7x^5−ax^7 where a is a constant. Find the value of a such that...
Use polar coordinates to find the volume of the given solid. Under the paraboloid z =...
In exercises 7-12, given the list of roots and multiplicities of the characteristic equation, form a...
find the slope of the tangent line at (0,-1) y=x^2-1/x^2+1
Find the maximum and minimum values of f(x) = esin(x) on the interval [-π,π]. Please show...
I have 24,000 dollars to build a fence. 3 sides of the fence cost 100 dollars...
Find the area of the triangle with vertices (0,0,0),(−4,−5,−4),(0,0,0),(−4,−5,−4), and (−4,−7,−3). A= please show all the...
An open$top aquarium is have a rectangular base that is three times as long as it...
The cost function C and the price-demand function p are given. Assume that the value of...
A vertical dam has a semicircular gate as shown in the figure. The total depth d...
Find the local maximum and minimum values and saddle point(s) of the function f ( x...
Can someone think/explain a real life xample where you would need to compute an improper integral?
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