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1) Find the radius of convergence, R, of the series and Find the interval of convergence,...
Find the area of the surface obtained by rotating the curve y = 3x3 from x...
Please read my question, I need a "local maximum occurs at (?,?)" and "the local maximum...
Consider the function f(x) = 5x5+x4+x3+5x2-x+2 What are all the possible zeroes of this function? Find...
Find a particular solution for: y” - 3y’ + 2y = te-3t
what is the derivative of the function when y=log5squareroot(5x+9) show all steps/work
A rock with 2kg is dropped from 300m with no velocity. As it falls, air resistance...
Use the derivative rules (shortcuts) to determine the equation of the tangent line to y =...
An everywhere continuous function f satisfies f''(x)= x2 -4x -5. Find the intervals where f is...
Find the minimum value of the function f(x,y)=2x+y, subject to the constraint x2+y2=5.
1. Determine the centroid of a semicircular plane whose equation is: x2 + y2 = 25....
Find the differential of each function. (a) y = x2 sin(6x) dy = (b) y =...
Use the given transformation to evaluate the integral. (x − 8y) dA, R where R is...
Determine whether each series is absolutely convergent, conditionally convergent, or divergent. X∞ n=1 (−1)n−1 (n /n...
A water trough is 9 feet long, and its cross section is an equilateral triangle with...
Use any test to show that the following series is convergent. X∞ n=1 (−1)n (n2+ 1/...
A block of ice melts in a room held at 75◦F. Let f(t) be the base...
Given p(x) = ? 3(?+4) 3 on [0, ∞), Find the constant C such that p(x)...
7. What is the surface area of the paraboloid parametrized in problem 5(b)? (The paraboloid from...
A food truck's profit from the sale of b beef burgers and v veggie burgers can...
Use integrals to calculate the area of the region bounded by x=2 on the left and...
Find the derivatives of m(x)=2ln((x^(3)e^(x))/(x^(2)-4)^(1/2)) and h(x)=(e^(3x))/(1-e^(-3x))
Suppose that 2 Joules of work is needed to stretch a spring from its natural length...
A gas station stores its gasoline in a tank under the ground. The tank is a...
Prove that the series consisting of the positive terms of the ALTERNATING harmonic series diverges.
2X1-X2+X3+7X4=0 -1X1-2X2-3X3-11X4=0 -1X1+4X2+3X3+7X4=0 a. Find the reduced row - echelon form of the coefficient matrix b....
when z=f(x,y), where tan(xyz)=x+y+z, find az/ax and az/ay
find the slope then find the equation of a tangent line that is tangent to the...
The exponential decay function for 80 mg of the radioactive isotope nitrogen-12 is given by the...
4x2y'' + y = 0 y = x1/2 lnx is a solution. Find the general solution.
The density of oil in a circular oil slick on the surface of the ocean at...
f(x) = sin(3x), f(x) = cos(3x), f(x) = xe-x Determine linear dependent or independent
Determine all (?0, ?0 ) in the xy-plane for which the d.e. ??/?? = ?/? would...
Find the exact area of the surface obtained by rotating the curve about the x-axis. A. y...
Find the absolute maximum and minimum values of f(x)= −x^3−3x^2+4x+3, if any, over the interval (−∞,+∞)(−∞,+∞)....
A particle is moving with the given data. Find the position of the particle. a(t) =...
Explain why each sequence diverges: {cos nπ} {1+(-1)^n} {sqrt(n)}
An 8 ft tall wall stands parallel to the side of a building. If the wall...
A company is manufacturing ear buds. The number of sets of earbuds they sell, x, and...
Evaluate the area of the part of the conical surface x2 + y2 = z2 bounded...
A tank contains 100 gal of brine made by dissolving 80 lb of salt in water....
Let ?(?)=1−5?/1+5?. Compute the following. ?′(2)= ?″(2)= ?‴(2)=
A particle is moving with the given data. Find the position of the particle. a(t) =...
Find f. f ''(θ) = sin(θ) + cos(θ), f(0) = 3, f '(0) = 2
You are given the function f(x) = 4 - x^2. Using four approximating rectangles and left...
1. if F(x,y) = ye^x + e^x. find the integral over C of F * dr...
Consider a function f(x; y) = 2x2y x4 + y2 . (a) Find lim (x;y)!(1;1) f(x;...
find the intervals on y is increasing and decreasing & with the location of any relative...
1-Find the volume with using disk and shell method y = x2 +2, x=1 about x-axis 2-...
1. Use Euler’s method with step size ∆x = 1 to approximate y(4), where y(x) is...
Find the area of the surface. The part of the sphere x2 + y2 + z2...
A company determines its total revenue and total cost functions for producing and selling x items...
The Martinezes are planning to refinance their home (assuming that there are no additional finance charges)....
find the absolute maximum and absolute minimum values of f on the given interval f(x) =...
Find the maclaurin series for f(x), centered around 1. (n=1) f(x) = ln(1-7x)
Find the length and width of a rectangle that has the given perimeter and a maximum...
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x...
Find the limits, if they exist, or type DNE for any which do not exist. lim(x,y)→(0,0)5x^2/2x^2+y^2...
Use the Chain Rule to find ∂z/∂s and ∂z/∂t. (Enter your answer only in terms of...
Find the area of the region bounded by the curves y=3x2 and y=−8x+3. please show work....
Show that the functions sin t, cost, and e^t are linearly independent on [−∞, +∞].
Determine the intervals on which the function f(x) = 3x^5/3 − 15x^2/3 is increasing or decreasing.
Check Your Understanding. When you are finished, you will submit the completed assignment as an attachment....
use the method of variation of parameters to determine the general solution of the given differential...
Suppose f is continuous on (−∞,∞), and the derivative satisfies: f' (x) < 0 on (−∞,...
Did the intervals of concavity for the function f(x)=(ln(x))^2
Transform the given system into a single equation of second-order x′1 =−8x1+9x2 x′2 =−9x1−8x2. Then find...
find the limit, if it exists Lim (x,y)=(0,0) (xy^4)/((x^2)+(y^8))
Find the equation for the tangent plane to the surface z=(xy)/(y+x) at the point P(1,1,1/2).
Find an equation for the line tangent to the following curve at the point (4,1). 1−y=sin(x+y^(2)−5)...
Find f. f ''(x) = 3 + cos(x), f(0) = −1, f(5π/2) = 0
Let f(x)=((x+1)^2)/((x−1)^2) (a) (8 pts) Find the intervals on which f increases and the intervals on...
Find the absolute maximum and absolute minimum values of f on the given interval. f(x) =...
solve IVP, using variation of parameters x2y'' - 5xy' + 8y = 32x6 y(1) = 0,...
f(x) = 2x - 7 x ∈ (0,7) Draw a plot of the periodic Fourier Series...
F(x,y) =<3x^2+ 3y^2,6xy+ 2.> Find the potential function for F that satisfies the condition f(0,1) =...
Given that D is a region bounded by x = 0, y = 2x, and y...
Find absolute and local extrema of function f(x)=e^{x^3+x^2+x} on interval [-1,1] and determine which one is...
Apply term-wise integration to the expansion 1/(1 − x) = ∑∞ n=0 x n = 1...
find the volume of the solid under the surface z = 2xex + yey that projects...
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