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Suppose that f(x) = (2x)/((4-2x)^3) Find an equation for the tangent line to the graph of...
let v be the volume of the solid obtained by rotating the region between the graphs...
1. the integral of 0 to 1 of (x) / (2x+1)^3 dx 2. the integral of...
The given curve is rotated about the y-axis. Find the area of the resulting surface. y...
A) Find the general solution of the de (d2 / d x2 ) y(x) + (4)...
A cooling tower for a nuclear reactor is to be constructed in the shape of a...
An arrow is propelled upward at 98 m/sec2 , (height in meters after t seconds is...
Given ∫2−2∫4−y2√0−52x2+yy2dxdy a) Rewrite the integral in polar coordinates b) Evaluate the integral obtained in part...
Determine if the series converges or diverges. Justify your answer by stating the test used and...
An open top box is to be made by cutting small congruent squares from each corner...
Given: y = x4 , y = 0, x = 1 Find volume if it is...
Find an equation of the plane. The plane that passes through the point (−1, 1, 3)...
The displacement (in centimeters) of a particle moving back and forth along a straight line is...
find the sum of the following series:[(-1)^n pi^2n+1]/4(16)^n (2n+1)
find the linerization of f(x,y)=x^3y^4 at (2,1). What does L(x,y) represent?
Find equation of tangent line to the curve 2(x^2 +y^2)^2 = 25(x^2 - y^2 )^2 at...
Rectangular box is made from a piece of cardboard that is 24 inches long and 9...
R is the region bounded by ? = √? − 1, ? = 2, and the...
Find the local maximum and minimum values and saddle point(s) of the function. if you have...
Find the slope of the secant lines over the specified intervals for the functions f(x)= -1/2x^2+2x...
Bacteria X has a relative growth rate of 240 % (under ideal conditions). Some bacteria X...
Find the absolute minimum and maximum values of the function f(?, ?) = 3?^2 + ?^2...
Find a general solution for the differential equation ? (4) + 8? ′′ − 9? =...
A circular swimming pool has a diameter of 18 m, the sides are 3 m high,...
Find a general solution using the method of variation of parameters ? ′′ − 4? ′...
Use Newton's method with the specified initial approximation x1 to find x3, the third approximation to...
Find the first three non-zero terms in Taylor expansion of the following function about the point...
y^'''-2^''+10y^'=3xe^x Solve by using Undetermined Coefficient method
Let f(x) = 1/x and g(x) = 1/x+1 . Evaluate f(g(x)) and g(f(x)). Then: A) Sketch...
Let O (0,0,0) be the origin and A(a+1,b,c) where a,b and c are the last three...
F(x, y, z) = sin y i + (x.cos y + cos z) j – y.sinz...
Find dy/dx by implicit differentiation. tan−1(3x2y) = x + 4xy2
Find the curve length of one complete cycle of r = 2(1+ cos(x)). Draw.
1. Determine whether the lines are parallel, perpendicular or neither. (x-1)/2 = (y+2)/5 = (z-3)/4 and...
A brine of solution of salt enters at a constant rate of 4 L/min into a...
solve the following for the domain of the functions in interval notation. Show all work a)...
This Lagrange multiplier technique works because of two facts for any f(x, y) and constraint function...
Compute the surface integral of f(x,y,z)=x^2 over z=sqrt(x^2+y^2), 0<=z<=1. Write answer as simply as possible. Note...
You are taking a road trip in a car without A/C. The temperture in the car...
The polar curve r = 5sin3θ where 0 ≤ θ ≤ π. Find the area of...
Solve the ODE: ?′′+4?=?(?)−sin(?−?/2)?(?−?/2);?(0)=0,?′(0)=0
Demand for your tie-dyed T-shirts is given by the formula q = 520 − 100p0.5 where...
Find the general solution of the given differential equation. Give the largest interval over which the...
Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x4 −...
Find two power series solutions about x = 0 , listing at least the first three...
1. Linear Equation Applied to Supply and Demand Find the point of intercept of following demand...
In 2011 a country's federal receipts (money taken in) totaled $2.072.07 trillion. In 2013, total federal...
Show that the equation − x^3 + e^ − x = − 4 has exactly one...
Show that f(x) = x sin(x) has critical point on (0,pi) by using mean value theorem.
(a)(3p) Discuss the continuity of the following functions: (i)(1.5p) f(x)= (cosx if x<0, 2 if x=0,...
Looking at Calculus maximum and minimun. What is an example of a critical point that is...
An object falls from rest. Its position at time t is given by s(t) = 1/2...
Hi! I am asking this again because the first answer I got were all wrong. Sorry!...
Find the marginal cost for the cost function c(x)=(3x-2)^4. Find C'(5). explain the value. please show...
A, Differentiate. y = x3 5 − x2 y' = B, Differentiate. y = x +...
For the function w=f(x,y) , x=g(u,v) , and y=h(u,v). Use the Chain Rule to Find...
Speedometer readings for a vehicle (in motion) at 12-second intervals are given in the table. t...
use Laplace transformations to solve initial value problem x''+4x=cos(t), x(0)=0, x'(0)=0 set up the appropriate form...
What mathematical ideas are you curious to know more about as a result of studying the...
Find the total value of the given income stream over the interval 0 ≤ t ≤10...
Integrate these (1) Integral 1/[(ax)2- b2]3/2 dx (2) Integral (x2 - 2x - 1) / (x...
A 17000 cubic foot room initially has a radon level of 880 picocuries per cubic foot....
1)| The region bounded by f(x)=−1x^2+5x+14 x=0, and y=0 is rotated about the y-axis. Find the...
Find the dimnesions of the box with the volume 5832cm^3 that has minimal surface area
5. Determine whether the following statements are TRUE or FALSE. If the statement is TRUE, then...
A car is traveling at the rate of 95 ft/sec when the brakes are applied. The...
Considering the differential equation dx/dt = y − x^2 , dy/dt = y − x What...
The cumulative number of bank failures since 2005 during the "great recession of 2008" was F(x)...
Anyone can give example of trigonometric function with graph and tangent line equation?
A tank originally contains 120 liters of water with 5 grams of salt in solution. Beginning...
Determine an equation of the line tangent to the curve at the given point. 6x2 +...
For a company that produces and sells x number of chairs per month, the profit function...
Let w = xy + yz + zx and x = rcosθ, y = rsinθ, z...
Find an equation of the tangent plane to the graph xyz2 = 1 at the point...
Use the shell method to find the volume of the solid generated by revolving the regions...
Given ? ′′(?) = 4 + 6? + 24? 2 , ?(0) = 3, ?(1) =...
3) A large department store is prepared to buy 3300 of your neon-colored shower curtains per...
Compute the line integral with respect to arc length of the function f(x, y, z) =...
Find the unit tangent vector T(t) and the curvature κ(t) for the curve r(t) = <6t^3...
Suppose a train is moving along a straight railway and the distance s (in meters) traveled...
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