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Find the x and y values at the maximum of ?(?)=−3?2+2??−4?2+4?+2
Find the mass and center of mass of the lamina that occupies the region D and...
The number of new businesses established in the US since 1990 can be modeled by the...
The number of subscribers to an internet streaming services is linearly related to the price. If...
Consider the plane x + 2y + z = 2 and the point P = (2,0,4)...
Differentiate f(x) = (√ x +1)(x(2/5)+3x) f(x) =(5x3+1)/(x2+2x+1) f(x) = -5x(3x-3)4 f(x) = (2x + (x2+x)4)(1/3)
We are tasked with constructing a rectangular box with a volume of 14 cubic feet. The...
Assume that the rate of excretion of drug is given by R(t) = 3 ?^−0.05? mg/hour...
Sketch the graph of f by hand and use your sketch to find the absolute and...
Consider the following functions f(x) =x^2, g(x) = lnx, h(x) = cosx For each of the...
Let f be a function for which the first derivative is f ' (x) = 2x...
a) Find the Fourier cosine transform of e^(-ax), given a>0. b) Use item (a) above to...
If f(2) = 5 and f '(x) ≥ 1 for 2 ≤ x ≤ 6, how...
The acceleration of an object (in m/s2) is given by the function a(t)=6sin(t). The initial velocity...
Find the volume of the solid which is bounded by the cylinder x^2 + y^2 =...
U(t)=6.859e0.153t million people gives the number of people using a ridesharing company, t years after 2011....
Use Stokes' theorem to find the flux curl ∫∫s (CurlG). dS where G(x,y,z) = <-xy2, x2y,...
Find f. a. f '''(x) = cos x, f(0) = 1, f '(0) = 4, f...
Given the function f(t) = 1/2cos (pi/3 *t) +3pi^2. Which of the following is equal to...
Find an interval I for which the given IVP is guaranteed to have a unique solution....
A 18 ft ladder leans against a wall. The bottom of the ladder slides away from...
Find the local maximum and minimum values and saddle point(s) of the function. If you have...
Problem 1 Continued: A conical tank with height 10 m and radius 8 m is used...
Sketch the region of integration. 3 0 3 sin x2dx dy y Evaluate the iterated integral....
. The point P = (0, 2, 1) is on the surface 2x + y +...
Find the absolute maximum and absolute minimum values (if they exist) of f(x) = ln x/x...
find general solution y’’ + y’ + y = xsinx
Find all second partial derivatives of f : ?(?, ?, ?) = ?^??^??^? fx= fy= fz=...
nevermind figured it out
Use spherical coordinates. Evaluate xyz dV E , where E lies between the spheres ρ =...
A company estimates that it will sell N(x)units of a product after spending $x thousand on...
Use the Trapezoidal Rule to approximate 8 on top ∫ on the bottom 5 ln(x^2+4) dx...
Find the equation of the tangent plane for the surface represented by x = u2, y...
Consider the vector field below: F ⃗=〈2xy+y^2,x^2+2xy〉 Let C be the circular arc of radius 1...
Use the Trapezoidal Rule to approximate 4 on top ∫ on bottom 2 (9x^2+1) dx using...
let f(x,y) = 2xy+4y^2 a) find the rate of change f at the point P(3,2) in...
A Norman window has the shape of a semicircle atop a rectangle so that the diameter...
Say the ratio test and give an example of an alternating series that converges absolutely by...
Given f''(x)=−36sin(6x) and f'(0)=1 and f(0)=−2 . Find f(π/6) =
Find the radius of convergence, R, of the series. ∞ n 7n (x + 3)n n...
Sketch the graphs of the functions. f(x) = 3x and g(x) = x squareoot x+1 Find...
A rectangular storage container with an open top is to have a volume of 10 m3....
Evaluate the surface integral S F · dS for the given vector field F and the...
consider the simplified linear system system, dS/dt= -αI dI/dt= αI For α > 0, find the...
An oil refinery is located on the north bank of a straight river that is 2...
Evaluate the following: 1) ∫ 4? ?? and determine C if the antiderivative F(x) satisfies F(2)...
The function f ( x , y ) = x 3 + 27 x y 2...
integrate (x^3)/(x^2-16)^(3/2)dx
A force of 9 lb is required to hold a spring stretched 6 in. beyond its...
10. Use the Second Derivative Test to find the local extrema of the function ?(?, ?)...
Please show all the work. 1. Consider the following curve f(x)=3x^4-16x^3+24x^2-9. Find the coordinates of the...
n/a
Use Lagrange multipliers to find the volume of the largest rectangular box in the first octant...
Consider the function f(x, y) = 3e^(2y)cos x. (a) Find the value of the direction derivative...
1. Use the product rule for differentiation to find derivatives in each of the following: (a)...
Find the point on the curve y=4x+2 closest to the point (0,4). (x,y)= (_____,_____)
The series ∑ n = 1 to ∞ sin^2 ( n *π/ 2 ) may be...
The coroner arrives at a murder scene at 9:00 pm. He immediately determines that the temperature...
Let E be the solid that lies between the cylinders x^2 + y^2 = 1 and...
Show that there is a number c with 0 < c < 1 such that x...
(1 point) Find the length of the entire perimeter of the region inside r=9sinθ, but outside...
Suppose f(3) = 2 and f'(3) = −1. a. If h(x) = x^2f(x), compute h'(3). b....
f ''(x)=−2+18x−12x2, f(0)=8, f '(0)=16 Find f.
Suppose that a company's sales volume y (in thousands of units) is related to its advertising...
2. The number of subscribers to an internet streaming services is linearly related to the price....
Set up, but do not evaluate, an integral of f(x,y,z) = 20−z over the solid region...
Problem 1) A) The Central Park Zoo needs to build a rectangular area of 225 sq....
Integrate the function f over the given region f(x,y) =xy over the triangular region with vertices...
If the amount of drug in a person's blood after t hours is f(t) = t/(t2...
Evaluate the line integral F * dr where F = 〈2xy, x^2〉 and the curve C...
Consider the following series. ∞ 1 n4 n = 1 (a) Use the sum of the...
Use the given transformation to evaluate the double integral of (x-6y) dA, where R is the...
1) if a sequence is monotone decreasing and greater than 0 for all values of n...
Need work shown, please a) Suppose a function f is continuous on the interval [a,b]. If...
Find the total differential. w = (2x + y) / (3z - 7y)
Find the maximum and minimum of the function f (x, y) = 6x − 2y subject...
Use the undetermined coefficients method to find the particular solution of the differential equation y'' +...
(Make Writing Legible ty) calculate the integral ∫ x cos(3x)dx
Find the minimal distance from the point P = (-3, -1, 0) to the surface z...
Given a continuous function f on [0, 1]. Suppose f'(0) and f''(0) both exits on (0,...
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