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Velocity of a Motorcycle The distance s (in feet) covered by a motorcycle traveling in a...
How do you think about x=1/2 andx=2for 1/(1-x)=1+x+x^2...
2) An object is thrown upward with an initial velocity of 144 feet per second from...
Evaluate the surface integral S F · dS for the given vector field F and...
Let ? = ?−1/2?+1 . Find an equation of the tangent line to the graph of...
Fill in the blank with “all,” “no,” or “some” to make the following statements true. •...
A spring has a natural length of 30 cm. If a 20-N force is required to...
Melvin Indecision has difficulty deciding whether to put his savings in Mystic Bank or Four Rivers...
Use optimization to find two positive numbers whose product is an optimum, given that one number...
Minimize f (x, y) = x2 + y2 subject to the constraint function g (x, y)...
Find f. f ''(x) = 8 + 6x + 36x2, f(0) = 5, f (1) =...
Let y(x) be the solution to the following initial value problem. x6 y′ + 7x5 y ...
Consider the vector field F(x,y,z)=〈−3y,−3x,−4z〉. Find a potential function f(x,y,z) for F which satisfies f(0,0,0)=0.
For what two values of r does the function y = e rx satisfy the differential equation...
A gate in an irrigation canal is constructed in the form of a trapezoid 7 m...
y = - x3 + 8x2 – 5x + 3 a) Graph "y". Be sure to...
Find R5 and L5 for the area under the curve f(x) = x+1, 0<x<5, then find...
Use Green's theorem to find the counterclockwise circulation and outward flux for the field F=(4x-9y)i +(8y-9x)j...
A small batch coffee roaster determines that the price charged (in dollars) per pound of coffee...
Logarithmic differentiation to differentiate: y = 3x^(3x) I know that the answer is 3(3x)(3x)(1 + ln(3x))....
4.Given F(x,y,z)=(cos(y))i+(sin(y))j+k, find divF and curlF at P0(π/4,π,0) divF(P0)=? curlF(P0)= ?
Use the Chain Rule to find ∂z/∂s and ∂z/∂t. z = −6sin θ cos ϕ, θ...
Find the center mass of the solid bounded by planes x+y+z=1, x=0 y=0, and z=0, assuming...
Use Lagrange multipliers to find the volume of the largest rectangular box with edges parallel to...
find a maclaurin series using a derived formula of f(x)=cos(x^2)
Determine one of the roots of the non linear equation f (x) = 2x3 - x2...
f(x, y) = 4 + x^3 + y^3 − 3xy (a,b)=(0.5,0.5) u = ( √ 1...
Suppose that the set An has all the even permutations in n-permutations. Prove that this set...
Determine whether the lines L1:→r(t)=〈−2,−1,3〉t+〈−5,−3,−1〉 and L2:→p(s)=〈4,2,−6〉s+〈4,−1,0〉 intersect. If they do, find the point of intersection.
Please how all work for the problem. Explain your steps and why you did it so...
1) Find the curvature of the curve r(t)= 〈4+3t,5−5t,4+5t〉 the point t=5. 2) Find a plane...
Use the term by term integration or differentiation to find the power series expansion. a) 1/(1-4x)^2...
The demand function for a certain make of replacement cartridges for a water purifier is given...
A lighthouse is 5 km from the nearest point P on a straight shoreline. The light...
e-ydx + (y-xey)dy=0 After finding an integral multiplier that makes the equation exactly differential, Obtain the...
using the rules of logarithms, differentiate y=(5x+3)^x
consider a large tank initially holding 300 L of solution in which 20 Kg of sugar...
In this problem, you consider a small computer company (a) The company estimates that the total...
Determine the radius and interval of convergence of the series infinte sum n=0 n(x+2)^n / 3^n+1
Given f(x) = cot x, state The derivative and show its proof.
Find the unit tangent vector T(t) at the point with the given value of the parameter...
How much should be deposited into an account today if it is to accumulate to $2700...
Determine whether each of the following series converges or not. (Name the test you use. You...
(1 point) Let F⃗ =(24a2x+2ay2)i⃗ +(2z3−6ay)j⃗ −(3z+2x2+2y2)k⃗ F→=(24a2x+2ay2)i→+(2z3−6ay)j→−(3z+2x2+2y2)k→. (a) Find the value(s) of aa making div...
Four feet of wire is used to form a square and a circle. How much of...
A thin rope that is 100 ft. long and weighs 60 lbs. hangs over the edge...
A piece of wire 8 m long is cut into two pieces. One piece is bent...
1.Consider the following function f(x)=2xln(2x) Determine the following: (Remember to type exp(x) for e^x and infinity...
Find the relative extreme values of the function. (If an answer does not exist, enter DNE.)...
Cost, revenue, and profit are in dollars and x is the number of units. Suppose that...
If the daily cost per unit of producing a product by the Ace Company is 5...
Find the equation of the tangent to the curve ? = 5^−?^2 at the point on...
let f(x)=cos(x). Use the Taylor polynomial of degree 4 centered at a=0 to approximate f(pi/4)
Solve the initial value problem. d^2y/dx^2= -3 csc^2 x; y' (pi/4)=0; y(pi/2)=0 The solution is y=____.
The percentage of users logged on to a network as a function of time x in...
f(x)=(4−x)(x+2)2^2 find critical point
Can you give an example of three perpendicular planes in R3 that are not the xy,...
Find the interest earned at 6.25% interest rate compounded continuously for 4 years, of the continuous...
The birth rate of a population is b(t) = 2400e0.022t people per year and the death...
Problem 1. Find an equation of the tangent plane to the given surface at the specified...
A simple economy consists of two industries: agriculture and manufacturing. The production of 1 unit of...
The vertices of a quadrilateral are listed below. A = (2, −3, 1) B = (6,...
Stuck on some homework problems I need the problems answered that have a ? after the...
find general solution, primes denote derivatives with respect to x 12 y'' + 7y' - 10y...
Use Lagrange multipliers to find the maximum and minimum values of f(x,y)=x2+5y subject to the constraint...
Evaluate the following integral using trigonometric substitution.. ∫dx/(x²√(16x²-9)), x＞3/4 an exact answer
a. Prove the following using suitable algebraic identities 432 16292 i.(?− ?)+2??= ?+ ? 34 916...
1. Circle all the statements that are true for "learning curves" represented by the general form...
An unknown radioactive element decays into non-radioactive substances. In 640 days the radioactivity of a sample...
1. Find the equation of the tangent line to the graph of ?2? − 5??2 +...
A ball is thrown into the air by a baby alien on a planet in the...
2. Use Simpson’s rule with six rectangles to estimate for using the Fundamental Theorem. ?Integral from...
Three positive integers a, b and c have, in pairs, highest common factors (a,b) = 24,...
Show that the derivative of f(x) = 6+4x^2 is f' (x)=8x by using the definition of...
Explain the method for making a line integral independent of the path. Give an example.
The wait time for phone calls to the IRS is exponentially distributed with an average of...
A mass weighing 16 pounds stretches a spring 8 3 feet. The mass is initially released...
Let F be the defined by the function F(x, y) = 3 + xy - x...
A standard issue water balloon launcher is aimed and fired so that a propelled balloon impacts...
Given that C'(2900) = 25, estimate the additional cost (in dollars) to be incurred by the...
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