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find the absolute maximum and absolute minimum values of f on the given closed interval f(x)=5-x^2...
Graph the update function of(xt+1=1-x2t)and the function (Y = x)on the same Cartesian plane. Then use...
Find the terms through degree 4 of the Maclaurin series of ?(?). Use multiplication and substitution...
Consider the circle around the origin (0,0) with a radius of r=2. You may need to...
You have 40 meters of fencing and would like to enclose a rectangle of the largest...
A fence 4 feet tall runs parallel to a tall building at a distance of 4...
y''+5y'+4y=x+ex
An electronic company’s profit from selling x thousands of one product and y thousands of another...
Consider the initial value problem dy/dx= 6xy2 y(0)=1 a) Solve the initial value problem explicitly b)...
1) Find f. f ''(t) = 9sqrt t, f(4) = 29, f'(4)= 10 2) Find f...
Finding Limits: Use L’Hopital’s rule to evaluate the limit . SHOW WORK . 8. lim┬(x→-1)〖(x-8x^2)/(12x^2+5x)〗 9....
(1 point) Find the area of the region enclosed between y=3sin(x) and y=3cos(x) from x=0 to...
You can run at a speed of 5 km/hr and swim at a speed of 3...
Expand the given function as a power series with the center c=0 (show the first four...
The nonhomogeneous equation t2 y′′−2 y=29 t2−1, t>0, has homogeneous solutions y1(t)=t2, y2(t)=t−1. Find the particular...
1. Compute∫∫R x−3y/4x−5y dA where R is the parallelogram bounded by the lines x − 3y=...
What is the area inside r = sin(x) and outside r = 1 - cos(x)?
Is there a vertical asymptote? Explain your answer.
Find the area of the indicated region. between y=2x^2+6x-3 and y=-x^2+3x+3 for x in [-2,2]
Consider the intitial value problem x2y''+2xy'-12y=0, y(1)=4, y'(1)=5 How many solutions does this problem have on...
Prove that a rectangular box of given volume inscribed in a sphere of radius r is...
1. You are given the function f(x) = x/(1−x) a) Find the x and y- intercepts....
Find an equation of the tangent plane and find the equations for the normal line to...
Evaluate the surface integral ∫∫S F · dS for the given vector field F and the...
Find the upper and lower sum of f(x) = 3x^2+4 on the interval [0,2] with 4...
Find the point on the curve y = sqrt(x) is closest to the point (3, 0)...
Can someone please answer this question for me with the correct steps/ equations to answering this...
Use Divergence theorem to evaluate surface integral S F ·n dA where S is the surface...
Q. Give an example of the requested vector for each statement below, or state that no...
How do I express the following as a function of f(x): 1. "The annual profit a...
Show that the slopes of the graphs of f and f^(-1) are reciprocals at the given...
Find the derivative of the function. (a) f(x) = e^(3x) (b) f(x) = e^(x) + x^(2)...
Consider a 40-foot chain that weighs 4 pounds per foot hanging from a winch 40 feet...
f(x)=1x−2 and g(x)=x−7x+3. For each function h given below, find a formula for h(x) and the...
1. Compute for the volume by using Disk/Wasker and Shell Method by rotating the region below...
Construct the Taylor series of f(x) = sin(x) centered at π. Determine how many terms are...
fxx, fxy, fyx, and fyy f(x, y) = y (ln x)
Find ypur best approximation's estimate for cos(pi/4). Find maximum and actual error for the estimate
Find the center of mass of a square base pyramid where the side length of the...
Find the MacLaurin series for f(x) = cos(5x^3 ) and its radius of convergence. Find the...
1) For a company the demand equation is given by p = 100 - 0.025x, where...
Please find the derivative of the following functions and show full work: 1) f (x) =...
Partial Fractions: Problem 1 Determine the constants A, B, and C that will make the decomposition...
Find the absolute minimum and the absolute maximum of the function on the interval given. (Round...
1 a) Find the centroid of the region bounded by the graphs of the given equations....
A vertical dam at the end of a reservoir is in the form of an isosceles...
Find the volume of the solid generated by revolving the plane region bounded by the graphs...
A box is constructed out of two different types of metal. The metal for the top...
Find the volume of the following solids with the given cross section running along the frame...
a baseball diamond is a square with side 90 ft. a battee hits the ball and...
Find the equation of the tangent line x^2 – 3xy^2 + y^3 = -3 at (2,...
A dragster travels the 1/4 mile race strip in 6.00 seconds, its distance from the start...
A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 250...
Find a power series representation for f(x) = ln(x^7 + 2), and find its radius of...
A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If...
Postal regulations specify that a parcel sent by priority mail may have a combined length and...
Find a power series representation for the function. (Give your power series representation centered at x...
A lamina occupies the part of the disk x2+y2≤9 in the first quadrant and the density...
Use a triple integral to find the volume of the solid under the surfacez = x^2...
Find the point on the surface (x-3)2 + (y-2)2 + z2 =1 that is closest to...
Use Lagrange multipliers to find the dimensions of the rectangular box of maximum volume, with faces...
The isosceles trapezoid is 16m wide at the top and 6m wide at the base. Its...
step by step process on how to get the 1st and 2nd derivatives of f(x)= (2x)...
(1 point) Find the area of the region inside r=8sinθ but outside r=3
Integrate -infinity to -3 x/(x^2+x-2)dx if it converges
Suppose your annual income is I(t) = 57,000 + 2,000t (0 ≤ t ≤ 3) dollars...
integrate 4cosx/sinx(3-8sinx)^2 dx
Find dy/dx and dy2/dx2, and find the slope and concavity (if possible) at the given value...
A farmer plans to fence a rectangular pasture with two pens adjacent to a river. No...
Instructions: Approximate the following definite integrals using the indicated Riemann sums. 1. Z 9 1 x...
. A sequence { bn } is defined recursively bn= -bn-1/2, where b1 = 3. (a)...
Give a short answer to the following question: Why is the price that maximizes revenue different...
Use logarithms to solve the following. (a) log (5x – 1) = log (x + 5)...
Use Euler's Method to approximate f(4) given that (df/dt)=9-1t^2 and f(0)=1. Use delta t=1.
f(t) is defined on (-pi,pi] as t^3 Extend periodically and compute the fourier series.
If ?1 = ?−4? cos ? is a solution from the differential equation ?′′′ + 6?′′...
One of your friends has been ordering the materials for these facemasks. He found that when...
Evaluate Z Z Z E 20x 3 dV where E is the region bounded by x...
Find the intervals of concave up/down for the given equation y=2-6x^5-5x^6
The demand curve for original Iguanawoman comics is given by q = (470 − p)^2/150 (0...
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