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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?
The Cartesian coordinates of a point are given. (a) (5 3 , 5)(i) Find polar coordinates (r,...
Set up iterated integrals for both orders of integration. Then evaluate the double integral using the...
Approximate the arc length of the curve over the interval using Simpson’s Rule, with N=8 y=4e^(-x^2),[0,2]
Plutonium-238 is a radioactive isotope of plutonium that was often used as the power supply in...
Determine the critical numbers, if any, of the function f on the interval [ 1 ,...
Find f(x). 1. f''(x) = (1/3) x^3 −3x^2 + 6x 2. f''(x) = −1 + 6x−12x^2,...
On problems 3 and 4, it must be clear which derivative you are working with, which...
Use linear approximation to estimate the following quantity. Choose a value of a to produce a...
Solve the following differential equation by variation of parameters. Fully evaluate all integrals. y′′+9y=sec(3x). a. Find...
Let y1 and y2 be two solutions of the equation y'' + a(t)y' + b(t)y =...
Suppose that f is a twice differentiable function and that its second partial derivatives are continuous....
2. Find the area of the region that lies inside the curve r=3 sinθ and outside...
Determine the intervals on which the function is concave up or concave down. Find the inflection...
What two nonnegative real numbers with a sum of 36 have the largest possible product? Let...
Use Gauss-Jordan elimination to solve the following systems of linear equations, or state that there are...
An object moves at a velocity given by f′(x)=−4x+20 meters per second. What is the total...
Use the definition of Taylor series to find the Taylor series (centered at c) for the...
Purchasing Power The year-end inflation rates in the U.S. economy in 2009-2012 were 2.7%, 1.5%, 3.0%...
5) a: Letd=2i−4j+k. Write⃗a=3i+2j−6kasthesumoftwovectors⃗v,w⃗,where⃗visperpendicular ⃗⃗ to d and w⃗ is parallel to d. b: Find the...
Compute the complex Fourier series of the function f(x)= 0 if − π < x <...
Hello, Find the first three nonzero terms of the Maclaurin Series for each function and the...
Effect of Luxury Tax on Consumption Government economists of a developing country determined that the purchase...
2. Given ⃗v = 〈3,4〉 and w⃗ = 〈−3,−5〉 find (a) comp⃗vw⃗ (b) proj⃗vw⃗ (c) The...
Find f. f ''(θ) = sin(θ) + cos(θ), f(0) = 5, f '(0) = 4
A car heading east crosses an intersection at 18 m/s and spots a truck 60 m...
Use Green’s theorem to evaluate the integral: ∫(-x^2y)dx +(xy^2)dy where C is the boundary of the...
a.) Find the following limit. lim x→−∞ x^3 - sqrt(4x^6-3x)/7x^3+x b.) Sketch the graph of a...
(3) (a) Why does it not make sense to find the Taylor series of f(x) =...
Use a change of variables to evaluate Z Z R (y − x) dA, where R...
Use the Intermediate Value Theorem to show that the function has at least one zero in...
An enclosed box is needed. If the total volume required is 100 ft^3 , and the...
2. A storage shed is to be built in the shape of a box with a...
Find the area of the surface. The portion of the sphere x2 + y2 + z2...
How to find an example eq. of a plane that contains the x axis but does...
This question has several parts that must be completed sequentially. If you skip a part of...
From a 50cm by 50cm sheet of aluminum, square corners are cut out so that the...
Find two non-negative numbers whose sum is 48 and whose product is a minimum. (If an...
D(x) is the price, in dollars per unit, that consumers are willing to pay for x...
D(x) is the price, in dollars per unit, that consumers are willing to pay for x...
Suppose you deposit $7000 at 8% interest compounded continously. Find the average value of your account...
evaluate the integrals 1. (x+1)/(x^2+1)(x+3) dx 2. sinxe^x dx
Consider the differential equation y' = y2 − 9 . Let f(x, y) = y2 −...
A cylindrical can, open at the top, is to hold 830 cm3 of liquid. Find the...
y = 9x – 35 is tangent to the curve f(x) = 2x2 – 3x at...
The population of a region is growing exponentially. There were 35 million people in 1980 (when...
Sketch the curve y = x^2 + 5 , and the point (0,-6) on the same...
This question has several parts that must be completed sequentially. If you skip a part of...
Find the volume of the solid using a triple integral. The solid enclosed between the surfaces...
Use spherical coordinates. Evaluate (6 − x^2 − y^2) dV, where H is the solid hemisphere...
Use Euler's method to approximate y(0.7), where y(x) is the solution of the initial-value problem y''...
Given the alternating series: n=2∞(-1)^n/ln(n) (7 pts) Determine if the series converge absolutely. (Use the fact...
3. Consider the system of linear equations 3x1 + x2 + 4x3 − x4 = 7...
find the fourth degree Taylor polynomail, T4(x), for f(x)=sqr.root(9+x) centered at the point x=0
Let C be the path of a moving particle with position vector 〈 t a n...
evaluate the integral ∫(x+2)/(x²+4) dx
Find f by solving the initial-value problem. (a.) f '(x) = 9x2 + 2x − 7;...
The Bad Petroleum company's oil rig in the middle of the Paradise Nature Bay is leaking...
Find the volume of the solid bounded by the cylinder x^2+y^2=9 and the planes z=-10 and...
let R be the region bounded by the curves x = y^2 and x=2y-y^2. sketch the...
Find the payment that should be used for the annuity due whose future value is given....
The cost, in dollars, of producing x yards of a certain fabric is C(x) = 1500...
The nicotine level in the blood rises as a person smokes, and tapers off when the...
Find the volume of the solid by subtracting two volumes, the solid enclosed by the parabolic...
Consider the function f(x) = (8x^3-4x)^3 (a) Find the derivative (b) Find critical numbers of f....
Kiran was looking to purchase a new dishwasher for her kitchen, and wondered if there was...
Determine the area outside the black graph given by r(θ)=1+4cos(θ) and inside the red graph given...
Find fxx, fxy, fyy when f(x, y) = xe^(x^2−xy+y^2)
A mountain are described with the following function f(x,y) = 3 – 3x2 + 3y2 -...
Find two positive numbers satisfying the given requirements. The product is 27 and the sum of...
Find the volume of the of the solid described as follows: The base of the solid...
Using definite integrals, find the area of the triangle formed by the given (x, y) coordinates....
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