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A box (with no top) is to be constructed from a piece of cardboard of sides...
For the function f(x,y)=x^3+y^3-3xy-ln(r)-e^c+t You find that at the point (2,4) the value of the function...
Find the inverse Laplace transform of the function by using the convolution theorem. F(s) = 1...
Find the Laplace transform of the given function. (Express your answer in terms of s.) f(t)...
Determine whether Rolle’s Theorem can be applied to f on the given interval. If Rolle’s Theorem...
5. Power Series. Find a power series representation and the radius of convergence for any the functions...
Find the dimensions of the rectangular solid of largest volume which can be inscribed in the...
Calculate the volume generated by rotating the region enclosed by the curves y = ln x,...
Evaluate the limit. (If an answer does not exist, enter DNE.) lim x→0+ (9x)sin(4x)
Let f(x) = x3 + 3x2 − 9x − 27 . The first and second derivatives...
Find a parametrization for the line perpendicular to (4, −1, 1), parallel to the plane 4x...
9) A company is considering expanding their production capabilities with a new machine that costs $37,000...
Solve the differential equations (2D^2 + D - 3)y = 2x - 3x^2
One ship is approaching a port from the east, traveling west at 15 miles per hour,...
4. Find the area of the indicated region. We suggest you graph the curves to check...
Let F(x, y, z) = z tan−1(y^2)i + z^3 ln(x^2 + 7)j + zk. Find the...
Let f(x) be a function that is continuous for all real numbers and assume all the...
Suppose a tin box is to be constructed with a square base, an open top and...
find the square root of -3-4i
The top of a 50-foot ladder is sliding down a wall at a rate of 15...
Use the given transformation to evaluate the integral. (15x + 15y) dA R , where R...
Use u-substitution to solve and show step by step 1.Find: ∫√(? + 1)?? 2. Find: ∫...
1/ Find linear equation for the plane containing (-1,2,1) that is parallel to the plane 2x...
There are four masses of weight 1 lbs, 2 lbs, 3 lbs. and 4 lbs. They...
Find the family of curves orthogonal to the family y=c x^4 Draw with sufficient precision the...
A 24 gallon tank is filled with pure water. Water which has a concentration of 6g...
Find a power series representation and the radius of convergence for functions f(x)= arctan(ax) where, in...
Find and describe the orthogonal trajectories of the family of curves y = ln(kx).
Write the sphere in standard form. (x^2+y^2+x^2+12x-6y+4z+45=0) (x - ? )2 + (y - ? )2...
Question B: Newton's law of cooling states dθ/dt = −k (θ−T) where ? is the temperature...
Find the maximum value of f(x,y)=(x^2)(y^7) for x,y≥0on the unit circle. f(max)=?
Compute the directional derivative of the function f(x,y)=(√1+3x^2+8y^2) at the point (0,−3) in the direction of...
compute the definite integral. The integral of 0 to 1 x^4(1-x)^4/1+x^2 dx
find the relative extrema of f(x)=x^3-3/2x^2 on the interval (-1, 2)
Find the differential dy for the function f(x) = x^e · tan−1 (x/3) .
Find the exact area of the surface obtained by rotating the curve about the x -axis....
1- For the following functions, find all critical numbers exactly. f(x) = x − 2 sin...
1. Use the method of Lagrange multipliers to find the maximize of the function f (x,...
Vector B is formed by the product of two gradients B = (∇u) × (∇v) ,...
A rancher wants to fence in an area of 2000000 square feet in a rectangular field...
Consider the function: h(x)= x^2+(9/2)x+9. Out of all the lines tangent to the graph of h(x),...
Find the area of the region soecified. The region enclosed by the curve r= 5 +cos(theta)
Exercise 178 Further problems on equations of the form dy dx=f(x). In Problems 1 to 5,...
Let K(t) denote capital at time t. Suppose at time 0, there is 1 unit of...
Use implicit differentiation to determine dy/dx given the equation e^x⋅y^3+x^4=sin(y) dy/dx=
Find the maximum value of y= 1/3x^3 + x^2 - 8x +31/3
Find the derivative. f(x) = tanh(4 + e5x) Find the derivative. f(x) = x sinh(x) −...
Let a, b ∈ R. Assume that vector F and vector G are C^1 vector fields...
A mass of 100 g stretches a spring 1.568 cm. If the mass is set in...
Determine all the numbers c which satisfy the conclusions of the Mean Value Theorem for the...
Part 2 of 13 - Oxford According to a joint study conducted by Oxford's Environmental Management...
Let w(x,y,z) = x^2+y^2+z^2 where x=sin(8t), y=cos(8t) , z= e^t Calculate dw/dt by first finding dx/dt,...
The marginal revenue of a company is given by r(x)=x^3-0.3x^2+0.1 and the marginal cost is given...
Suppose a tin box is to be constructed with a square base, an open top and...
Based off of the following function's local linearization f(x) = x^3-2x^2+5, x =5. Estimate f(6) and...
Consider the function f(x) whose second derivative is f''(x)=2x+3sin(x). If f(0)=3 and f'(0)=4, what is f(5)
At noon, ship A is 150 km west of ship B. Ship A is sailing east...
Solve using undetermined coefficients - superposition approach: y" - 4y' + 5y = 6cos(x) + 7sin(x)
I need a small summary of the fundamental theorem of calculus, and how drivatives and integrals...
ind the values of k and g with k ≥ 0 and g ≥ 0 that...
(1 point) According to a simple physiological model, an athletic adult male needs 20 calories per...
7. (a) Sketch a graph of a function f(x) that satisfies all of the following conditions....
transform the given initial value problem into an algebraic equation for Y=L{y}Y=L{y} in the ss-domain. Then...
f(x,y)=x^2+4xy-y^2 find an equation for the tangent plane at the surface point (2,1,11)
transform the given initial value problem into an algebraic equation for Y=L{y}Y=L{y} in the ss-domain. Then...
An unknown radioactive element decays into non-radioactive substances. In 860 days the radioactivity of a sample...
Consider ODE: (xy-1)dy+x^2dx=0. Prove that φ (x, y) = 1/x it is an integrating factor. Solve...
Use Green's Theorem to evaluate the line integral along the given positively oriented curve. C 3y...
Determine whether or not F is a conservative vector field. If it is, find a function...
Find the Second Derivative d2ydx2 when y is given by: x2+y2-2x+4y-20=0
how do you find the derivative of the function f(x) = square root of 7x-5 using...
Maclauren series f(x) = x/(1-x)^2
Determine an equation for the tangent to each function at the point with the given x-coordinate....
is 1/xlnx continous on interval [1, infiniti)? Will give good rating
Calculate the flux of F⃗ = (19x + y)⃗i + (20y + z) ⃗j + (21z...
Find the Taylor series for f(x) =xsin(3x) centered at a=π/3 and Find the radius of convergence...
(9) (a)Find the double integral of the function f (x, y) = x + 2y over...
The weekly sales of Honolulu Red Oranges is given by q = 945 − 9p Calculate...
Calculate two iterations of Newton's Method to approximate a zero of the function using the given...
Given: g(x) = x2 + 2 and h(x) = x + 4, Find the average value...
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