Calculus Questions

##### 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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