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Let R be the region colored in black in the figure below. The two curves bounding...
Find the mass and center of mass of the lamina that occupies the region D and...
when is the particke described s(t)=t3- 6t2+ 9t moving backwards. and also when is the particle...
A manufacturing company sells high-quality wireless headphones through a chain of specialty shops.The demand equation for...
Suppose that f(x,y) = x2−xy+y2−3x+3y with −3≤x,y≤3 1. The critical point of f(x,y) is at (a,b)....
Use Newton's method to approximate the root of the equation to four decimal places. Start with...
Suppose that one factory inputs its goods from two different plants, A and B, with different...
Show that the matrix is not diagonalizable. 3 −4 3 0 3 3 0 0 4...
1. f(x)= x3/x2-4 f(x) has one local maximum and one local minimum occuring at x values...
Consider the following demand and supply functions. D(x)=204−0.9x,S(x)=0.8x+178.5,0≤x≤90 Step 1 of 3: Find the equilibrium point....
Suppose that the vector field F(x,y,z) has potential function f(x,y,z) = y2+ 3xz and C is...
Find the area of the region between the curves ? = ? 2 + 5? +...
If two resistors with resistances R1 and R2 are connected in parallel, as in the figure...
A microwaveable cup-of-soup package needs to be constructed in the shape of a cylinder to hold...
An alien creature lives forever. It is born as a youngling and after 1 month matures...
An institute finds that the average student taking Elementary Shorthand will progress at a rate given...
(Please answer all 3 questions and explain how you get the answer. thank you.) Q1. A...
A rectangular box is to have a square base and a volume of 20 ft3. If...
Suppose a population P(t) satisfies dP/dt = 0.8P − 0.001P2 P(0) = 50 where t is measured...
A rectangular storage container with an open top is to have a volume of 28 cubic...
Find the maximum and minimum values of the function f(x, y, z) = x^2 + y^2...
A telephone line hangs between two poles 14 m apart in the shape of the catenary...
Consider the function F(x,y) = e^(((-x^2)/2)-((y^2)/2)) and the point P(-3,3). a. Find the unit vectors that...
Find the absolute maximum and absolute minimum values of f on the given interval. f(x) =...
Hi, On my math homework it asks this: Is it possible for a series to be...
3. A new company has asked you to design a new box for their product. You...
Use Euler’s method to numerically solve the differential equation dx/dt=0.3x−10 for 0≤t≤3 given that x=40 when...
Find (f −1)'(a). f(x) = 4x3 + 3x2 + 7x + 7, a = 7
1). Find the derivative of the function. y= 3ln(x+6)/2-6x 2). Find the derivative. y= e^x^5 ln...
Consider the region bounded by ? = 4? , ? = 1 and x-axis. Set up...
Find the maximum and minimum x-locations of f where f′(x) = (x − 2)x^2(x + 1)
A university is trying to determine what price to charge for tickets to football games. At...
Four people can paint a fence in 3 hours. How long would it take six people...
2. Consider the following function. f(x) = x2 + 9 if x ≤ 1 5x2 −...
Find two vectors v1 and v2 whose sum is 〈1,3〉, where v1 is parallel to 〈1,2〉...
Find the volume common to two spheres, each with radius r, if the center of one...
A farmer estimates that if he digs his potato crop now he will have 120 bushels...
Paramount Electronics has an annual profit given by P = −100,000 + 5,000q − 0.25q2 dollars,...
Find the absolute maximum and absolute minimum of the function f(x) = x 3 − 6x...
Find the exact location of all the relative and absolute extrema of the function. HINT [See...
find ALL absolute maximum and absolute minimum values for the function f(x)= 2sinx + 2cosx over...
A 6.50-ft-tall man walks at 8.00 ft/s toward a street light that is 14.0 ft above...
#1: Consider the following. g(x) = 9x2 − 8; h(x) = 1.1x Find the derivative of...
Question 1 With: ?(?) = ?3 + 4 ?2 What is the domain of ?? Find...
(1 point) Find the degree 3 Taylor polynomial T3(x) of function f(x)=(7x+67)^(5/4) at a=2 T3(x)=?
Suppose g(x) = x2 -3x. On the interval [0,4], use calculus to identify x-coordinate of each...
f(x)= x^4-2x^2-3. Using the first derivative test, find: a. All critical Numbers b. Intervals on which...
The temperature at a point (x, y, z) is given by T(x, y, z) = 100e^(−x^2...
Find the volume V of the solid obtained by rotating the region bounded by the given...
in general, how do we know that the binormal vector, B, is orthogonal to both T...
A particle is moving with the given data. Find the position of the particle. a(t) =...
Find two positive numbers satisfying the given requirements. The product is 232 and the sum is...
what is the largest volume that a cone inscribed in a sphere of radius 9 cm...
Let f(x) = 3x^5/5 −2x^4+1 Find the following -Interval of increasing -Interval of decreasing -Local maximum(s)...
Use the Chain Rule to evaluate the partial derivative ∂f∂u and ∂f∂u at (u, v)=(−1, −1),...
Find the point on the line 4x+2y−4=0 which is closest to the point (1,3).
A stone is dropped from the top of 1600-foot high cliff so that its initial velocity...
Find the domain and range of fx,y=y-x21-x2
Q5 The coroner arrives at the scene of the murder at 2 A.M. She takes the...
Suppose $5000 is invested at an annual interest rate of 4.15% if compounded continuously. a) Compute...
Estimate using the trapezoid rule and Simpson’s rule for ∫ ? ? 2 ?? 2 0...
3. Consider the following two lines: x = c + t, y = 1 + t,...
Utilize Newton's Method to estimate the root of 2.2x5 - 4.4x3 + 1.3x2 - 0.9x -...
Use the Midpoint Rule with n = 4 to approximate the integral from 1 to 3...
Polar Functions Algebraically test symmetries and include table of (r, theta) for theta = 0, pi/6,...
for the surface f(x/y/z)=x3+3x2y2+y3+4xy-z2=0 find any vector that is normal to the surface at the point...
limit to infinity: (n!)/(n^n) using squeeze theorem explained
4. Find the point (x, y, z) on the sphere of radius 2 centered at (0,...
Find the solution of the initial value problem y′′+4y=t^2+4^(et), y(0)=0, y′(0)=3.
For the following exercises, draw a graph that satisfies the given specifications for the domain x=[−3,3]....
The manager of a large apartment complex knows from experience that 100 units will be occupied...
Calculate ∬D e^(25x2+16y2) dxdy, where D is the interior of the ellipse [(x/4^)2+(y/5^)^2 ≤ 1]
Use implicit differentiation to find an equation of the tangent line to the curve at the...
7. F(x,y)=3xy, C is the portion of y=x^2 from (0,0) to (2,4) evaluate the line intergral...
If the total cost function for a product is dollars, determine how many units ? should...
Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing and...
A cylindrical can open at the top is to have volume 24, 000π cm3 . The...
Consider the function w = x^(2) + y^(2) + z^(2) with x = tsin(s), y =...
?(?) = 2 ? ∙ ln(?) Find derivative ?’(?)
Find the local maximum and minimum values and saddle point(s) of the function. If you have...
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