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use the definition of derivative to find the derivative of f(x)= 2*sqrt(x-7) show work please.
McLaurin series for f(x) = x2.ex is …..
a box with a square base and open top must have a volume of 62.5 cm^3...
57. a. Use polar coordinates to compute the (double integral (sub R)?? x dA, R x2...
16. a. Find the directional derivative of f (x, y) = xy at P0 = (1,...
a company wishes til manufacture a box with a volume of 20 cubic feet that is...
find the power series representation for the function f(x) = x / (1-x)^2
Find the volume of the region below the paraboloid z = 2 + x2 + (y...
y'+3y=y³sinx homogenius or Bernoulli
Find the open intervals on which f(x)=x^4 + 8x^3 is increasing or decreasing.
Find the area of the region that lies inside the first curve and outside the second...
Consider the funtion T(x,y)=2xy-y^2(°C) which determines the temperature for a metallic circular plate centered at the...
Evaluate the flux, ∬SF⋅dS , of F(x,y,z)=yzj+z^2k through the surface of the cylinder y^2+z^2=9 , z...
1.Find the area of the region between the curves y= x(1-x) and y =2 from x=0...
A, B, and C wanted to compute the area under the curve f(x)=x−2+2x−6x3+cos(x) over the interval...
A ladder 20 feet long leans against a wall and the foot of the ladder is...
Use a Lagrange multiplier to find the maximum possible area of a rectangle inscribed in the...
∫−2,−∞ (e^(2x))/(1+e^(2x)) dx
(1) The paraboloid z = 9 − x − x2 − 7y2 intersects the plane x...
Consider the following. optimize f(x, y) = 4x2 + 3y2 − 25.4x − 11.9y + 73.3...
The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced...
Cobalt-60 has a decay rate of 13.2% each year. Select the function that models the amount...
Find the third derivative of the given function. g (t) = ( (1/2)t2 -5)5 g''' (t)...
1. f is a probability density function for the random variable X defined on the given...
Consider the lines in space whose parametric equations are as follows line #1 x=2+3t, y=3-t, z=2t...
Show complete solution Use Green’s Theorem to determine the circulation curl (tangential form) of ∮ 3????...
Find the 5th derivative of y=x^3e^2x using leibnitz’s theorem, hence evaluate y^5(2)
According to the data released by the Chamber of Commerce of a certain city, the weekly...
Write the standard polar equation for a hyperbola with one focus at the pole and vertices...
find an equation for the line tangent to the given curve at the point defined by...
The altitude of a triangle is increasing at a rate of 1 cm/min while the area...
Consider the vector force field given by F⃗ = 〈2x + y, 3y + x〉 (a)...
Find the mass and center of mass of the lamina bounded by the graphs of the...
Use integration by parts to evaluate the integral: ∫9xcos(−2x)dx
Find the quantity and price that will maximize a company's revenue if its price function in...
Find the equation of the tangent plane to the surface z=e^(−2x/17)ln(3y) at the point (−2,4,3.1441).
From a thin piece of cardboard 60 in. by 60 in. square corners are cut out...
find the present calue of deposit. 48,000 at 6.5% componded continuously for 6 years
A 13 ft ladder is leaning against a vertical wall when Jack begins pulling the foot...
The manager of a large apartment complex knows from experience that 90 units will be occupied...
A ball is thrown upward from a height of 3m at an initial speed of 45...
a man 6ft tall walks at a rate of 5ft/s away from a lamppost that is...
Find the general solution of (D^2 + 6D + 13)y=0
An open cylindrical trashcan is to hold 12 cubic feet of material. What should be its...
A pulsar is a rapidly rotating neutron star that emits radio pulses with precise synchronization, there...
Let ?(?) =3√?4 − 3 · 3√? on the interval [0,3]. Check to see if the...
Write the equation of the hyperbola centered at the origin, with length of the horizontal transverse...
Identify the following as the equation on a parabola, ellipse, or hyperbola: x^2-16y^2+64y-208=0 a) state what...
Find the volume of the solid of revolution formed by rotating the region about the y-axis...
1a. Find a vector equation for the line segment from (4, −3, 7) to (8, 3,...
Oil leaked from a tank at a rate of r(t) liters per hour. Values of the...
For the function ?(?)=?⋅e^(e^x-x^2)", find the absolute maximum and absolute minimum over the domain [0,2].
Find the dimensions of a box with a top that has a volume of 1000 cubic...
1) Convert the point (x,y,z)=(−2,5,3) to spherical coordinates. Give answers as positive values, either as expressions,...
Find the sum of the following infinite series. If it is divergent, type "Diverges" or "D"....
4. Let ℎ(?) = ln(3? 2 + 1). a. (10 pts.) Find the intervals of concavity....
Simplify to one logarithmic term with a coefficient of 1 : 2loga3 - 3 log b...
Trig integration. Evaluate the indefinite integral using Trigonometric Substitution. Make sure to show all your work,...
A man is making gold and silver rings for sale. He estimated that if x grams...
A potter forms a piece of clay into a right circular cylinder. As she rolls it,...
the value of 2/pi times the integral of 1+x over the unit circle is
Find all local extreme values of the given function and identify each as a local maximum,...
A cylindrical can, open at the top, is to hold 220 cm3 of liquid. Find the...
A box with a square base and open top must have a volume of 108000 cm^3....
The region bounded by y=x^3, y=x, x=0 is the base of a solid. a) If the...
Determine whether or not the vector field is conservative. If it is conservative, find a function...
A voltage V across a resistance R generates a current I=V/R. If a constant voltage of...
40) The region bounded by f(x)=−2x^2+12x+32, x=0 and y=0 is rotated about the y-axis. Find the...
A rectangular box is to have a square base and a volume of 48 ft3. If...
In the town of Big Sky, Montana in the year 2003 the population of the town...
A cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. The...
Find the solution where k is a constant greater than 3 dy/dt -ky = e^3t -...
Evaluate the integral by reversing the order of integration. 1 0 3 7ex2 dx dy 3y
If z=x+iy, find the values of x, y and θ=arg z for the e^z=1+i3 ?
Complete the square to write the equation of the sphere in standard form. x^2+y^2+z^2+5x-2y+10z+21=0 Find the...
If a and b are positive numbers, find the absolute maximum value of the function f(x)...
Apply Newton's Method to f and initial guess x0 to calculate x1, x2, and x3. (Round...
In this problem, p is in dollars and x is the number of units. Find the...
1) Find f’(x), given f(x) = x^1/3 (lnx) 2)Find f(x), given f’’(x) = 3 , f’(0)...
A rectangular storage container with an open top is to have a volume of 10 m³....
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