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f(x) = (1 − x)tan−1(2x) 1.find the first and the second derivative of this formula. 2....
A light is on the top of a 12 ft tall pole and a 5’6’’ tall...
1. Solve for a and b given that: 2ab+10b^2=70 4ab^3 is as large (maximized) as possible...
Solve the following differential equation using the Power Series method y''+xy'+y=0. Calculate the value of a2,...
Solve the following differential equation using the Power Series method 9.5y''+xy'+y=0. Calculate the value of a2,...
Find the intervals where the function ?(?) = ? 3 + 15? 2 − 72? −...
The following are your instructions: You have an A3 ((29.7 cm X 42 cm) sheet of...
Find an equation of the tangent line to the curve at the given point. y =...
In your own words, explain the idea of instantaneous rate of change. Explain the relationship between...
Integral (2x^3-2x^2-3)/(x^4+x^2)
complex series of the function f(t)=2t in the range -pi to pi
Let f(t) be the solution of y' = y(4t-1), y(0) = 4. Use Euler's method with...
The Cartesian coordinates of a point are given. (a) (−8, 8) (i) Find polar coordinates...
Given the function h(x)=e^-x^2 Find first derivative f ‘ and second derivative f'' Find the critical...
The marginal cost of producing the remarkable Apple iPad Pro is ?′(?)=3?2−16?+32 million dollars when producing...
1. Differentiate the given series expansion of ff term-by-term to obtain the corresponding series expansion for...
Evaluate ʃ ʃSF∙dS where F = < x, y, 2z > over the surface of the...
given the polar curve r = 2(1+cos theta) find the Cartesian coordinates (x,y) of the point...
A chemical is being injected into a cleaning system so thats its concentration after t minutes...
80 students were interviewed, of which 35 had alcohol and 18 drug problems and five had...
. Find the arc length of the curve r(t) = <t^2 cos(t), t^2 sin(t)> from the...
f (x) = -ex + Sinx + 3x = 0 function’s [0; 1] Show that it's...
Find the are of the region between the r = 1 + sinθ and r =...
use logarithmic differentiation to solve dy/dx if y=5root(x-1/x+1)
How to find the Taylor series of (1+x)^(-1/x) Centered at x=0?
A cable TV company has 5200 customers paying $55 each month. If each $1 reduction in...
Find an equation of the tangent plane to the surface 4x2+9y2+2z2=1623 at point P=(11, 11, 5).
Let f(x y z)=x4y4+z5, P=(4, 4, 1). Calculate the directional derivative in the direction pointing to...
Let f(x y z)=x4y4+z5, P=(4, 4, 1). Calculate the directional derivative in the direction pointing to...
1.) Why is Newtons equations of the binomial theorem equivalent to The binomial Series?
find the total differential of f(x,y)= cosy * e^(-xy)
1. Find dy/dx for y = 1/X6 2. Find d/dx (X8/40) 3. Find f'(x) for f(x)=4x9 4....
solve using the LaPlace transform: y'' - 6y' - 16y = 8et y(0) = 2 y'(0)...
An open-topped box is to have a square base and a volume of 10 ?3. The...
Solve surface integral ∬(?+?+?)??? where S is hemisphere ?^2+?^2+?^2=4 , ?≥0.
The function f(x)=900 represents the rate of flow of money in dollars per year. Assume a...
A jewelry store expects to sell 120 diamond bracelets during the next year. It costs $2.25...
The function f(x) = 900 represents the rate of flow of money in dollars per year....
(5) Let f(x, y) = −x^2 + 2x − 3y^3 + 6y^2 − 3y. (a) Find...
integral of (sec(x))^5
Scenario: You are the manager of a company that manufactures electric chainsaws. Currently the company makes...
A particle is moving along the graph of y = sqrt(x). When x = 9 the...
Let f(x)=7x^2+7. Evaluate lim h→0 f(−1+h)−f(−1)/h (If the limit does not exist, enter "DNE".) Limit =
The revenue and cost function are given. R(x) = 35x − 0.35x2; C(x) = 4x +...
Find the derivative of the function using the definition of derivative. f(x) = 1 5 x...
Scenario: You are the manager of a company that manufactures electric chainsaws. Currently the company makes...
Scenario: You are the manager of a company that manufactures electric chainsaws. Currently the company makes...
Change from rectangular to cylindrical coordinates. (Let r ≥ 0 and 0 ≤ θ ≤ 2π.)...
A bucket begins holding 25 kgs of sand. The bucket is to be lifted to the...
4 pts) Find the value of dy dx at the point (1,4), where y^2 = 2...
The production function for a company is given by f(x, y) = 100x0.6y0.4 where x is...
Find the following limit. Is the function continuous at the point being approached? ModifyingBelow lim With...
(uxv) is orthogonal to (u+v) and (u-v) u and v are nonzero vectors not sure where...
find the value of x for which the series converges sigma (x+7)^n for n=1 to n=infinity
use the Chain Rule to find ∂w/∂s for w=e^xcos(y) where x=s^2sin(t) and y=s/t
Estimate f(2.1, 3.8) given that f(2, 4) = 6, fx(2, 4) = 0.2, and fy(2, 4)...
In the 2000 U.S. Census, a small city had a population of 45,000. By 2010, the...
A manufacture has been selling 1000 television sets a week at $510 each. A market survey...
Solve step by step please Let ?: ? → ? be a function. Show that ?...
Find the indicated partial derivative(s). f(x, y) = x8y9 − x7y8; fxxx, fxyx
Suppose that a mass suspended on a string has the following equation of motion x(t) = ...
Find parametric equations for the rectangular equation y = e^x + 9 using the parameter t...
(a) Find the value of ω for which we can observe resonance in the solution of...
7. Two cars start moving from the same point. One travels north at speed of 15...
A ladder 25 feet long is leaning against the wall of a house. The base of...
Find the area of a triangle with vertices A (1, 4, -1), B (-1, 2, 0),...
Describe the x-values at which the function is differentiable. (Enter your answer using interval notation.) y...
(1 point) Gandalf the Grey started in the Forest of Mirkwood at a point with coordinates...
If f ″(x) = (x − 1)^5 (x − 2)^7 (x − 3)^6, how many inflection...
A company operates two plants which manufacture the same item and whose total cost functions are...
Find the minimum and maximum values of the function f(x,y)=x2+y2 subject to the constraint x4+y4=2592 Use...
Find the constant a such that the function is continuous on the entire real line. f(x)...
A horizontal mass spring oscillator is constructed, where the mass of the oscillator is 3 kg,...
Using the method of undetermined coefficients, solve the following IVP y″ + y′ = f (x) ...
Solve below differential equation d2ydx2+2dydx+3y=2sin2x coefficients of final answer/s should be exact. Ie radical/fraction form Find...
A searchlight 60 ft from a straight wall is rotating at a constant angular rate. If...
Find the equilibrium solution to y'= (y^2-2y+1) (x^2-4)
vert symptotes f(x)=tan(3x)
An epidemiologist is investigating two suspected risk factors for a deadly disease (“wasting disease”). One of...
Problem #16: Use the Laplace transform to solve the following initial value problem, y′′ − 5y′...
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