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Find the area between ? = 1 + sin? ??? ? = 3sin?. r=1+sin? inside, r=3sin?...
If C(x) = 14000 + 600x − 0.6x2 + 0.004x3 is the cost function and p(x)...
Give some examples of when you would use the technique of Approximating Integration? Also, give an...
Find the extreme values of f(x,y,z)=x2yz+1 on the intersection of the plane z=6 with the sphere...
please don't do this unless you can do all parts, circle answer and show work please...
Consider the equation below. f(x) = 2x3 + 3x2 − 72x (a) Find the interval on...
The altitude h (in m) of a jet as a function of the horizontal distance x...
Find the maximum value of the function f(x,y) = 2x - 5(y^2) subject to the constraint...
1.)Find T5(x), the degree 5 Taylor polynomial of the function f(x)=cos(x) at a=0. T5(x)= Find all...
2. a) Given f(x)=x^2-2x, Draw the graph of the function and find an approximation for the...
A surveyor stand 27 feet from the base of a building, measure the angle of elevation...
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...
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