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let w be the region bounded by y=x and y=sqrt(x) oriented counterclockwise. Water flows across this...
Find the relative extrema of the function if they exists: f(x)= 9/x^2+1
) Let .f'(x)=x2-4x-5 Determine the interval(s) of x for which the function is increasing, and the...
8. Find the direction cosines of the vector a (a) a =< 2,1,2 > (b) a...
If y= ∞∑n=0 cnx^n is a solution of the differential equation y″+(3x−1)y′+2y=0 then its coefficients cn...
A model for the surface area of a human body is given by the function S...
Show the equation x+cos^2(x/5) = 5 has exactly one solution in R.
Solve this SHM, the m=2 m/s and k=8. Write a 2nd order differential equation and give...
Find the first three non-Zero terms in the Taylor series centered at 0 for the function....
Use the method of Lagrange multipliers to solve this exercise. I want to fence in a...
Integrate dx/(1+x^2)^2
Consider the sequence defined recursively by an+1 = (an + 1)/2 if an is an odd...
(a) Find parametric equations for the line through (2, 2, 6) that is perpendicular to the...
A fluid is flowing through space following the vector field F(x, y, z) = yi −...
) Check that each of the following functions solves the corresponding differential equation, by computing both...
At$0.49 per bushel, the daily supply for wheat is 378 bushels, and the daily demand is...
1) Find the length of the parametric curve x=2 cos(t) , y=2 sin(t) on the interval...
Show work please 1. Find the slant asymptote f(x)=(x^2-4)/(x-1) 2. Consider the rational function f(x)=(x^2-1)/(x^2+x-6) a....
Use spherical coordinates. y^2z^2dV, where E lies below the cone ϕ = π/3 and above the...
Using cylindrical shells, find the volume of the solid obtained by taking the region between y=x...
Use Gauss-Jordan method (augmented matrix method) to solve the following systems of linear equations. Indicate whether...
The sales of a product decline after the end of an advertising campaign, with the sales...
1. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the...
Find the volume of the solid obtained by rotating the region bounded by the given curves...
I do not want to waste my question count so please give me the correct answer...
Find the radius of the container in the shape of a right circular cylinder with an...
Find the general solution of the given system of equation ?⃗'= [ 3 6.. -1 -2]...
solve the D.E. 2x^3 y'''+19x^2 y''+39xy'+9y=0
Consider y = 1 + 3x– 4x3. a. State the domain. ____________ b. State the range. ____________ c....
M := {(x, y, z) ∈ R3 : x 2 y − 4ze^x+y = −35} is...
Find the general solution of the equation. d^2y/dt^2-2t/(1+t^2)*dy/dt+{2/(1+t^2)}*y=1+t^2
Find the dimensions of the right circular cone of maximum volume having a slant height of...
find dy/dx a. (x+y)^4 =4y-9x b. y= (x +6)^2x c. y= cos^-1 (3x^2 -5x +1 )
please only answer if you can do all parts, show work and circle answer part 1)...
f(x,y)=xy ; 4x^2+y^2=8 Use Lagrange multipliers to find the extreme values of the function subject to...
Sigma n=1 to infinite (-1)^n sin(pi/n) I confuse about this alternative test I know this function...
Suppose f(1) = −1, f(2) = 0, g(1) = 2, g(2) = 7, and f 0...
Part A: Compute the derivative of ℎ(?)=(?^2 − 5)(9?^5 − 4? −4) Part B: Compute the...
Find the tangent line equation for the circle r = 2cosθ at θ = π/2.
Find the absolute maximum and minimum values of the following function over the given interval. If...
A coin is dropped from the top of a building. Its height s (in feet) at...
if a ball is thrown vertically upward with a velocity of 95 ft/s, then its height...
Suppose a population grows according to a logistic model with initial population 100 and carrying capacity...
I just want to learn how to evaluate the radius of convergence and interval of convergence...
Lesson 12.B 1.Over what interval does 3 cos(2?) have the greatest positive rate of change? a)...
Consider the parametric curve given by the equations: x = tsin(t) and y = t cos(t)...
What is the equation of the tangent plane to the given surface at point (2, −1,...
Find the limit as X approaches 0 (2e^x-2-x)/(xe^x-x)
integral of (8x+9sin(x))^2 dx
Find the volume of the solid obtained by rotating the region bounded by the given curves...
Find an arc length parametrization of r(t) = (et sin(t), et cos(t), 10et )
7. Find the absolute extrema of ?(?) = ??^? − ??? on the interval [?, ?]....
4. Let ?(?) = ?? ? − ?? ? . a) Find the intervals on which...
Consider the function: f(x)=81x^2+49/x Use the First Derivative Test to classify the relative extrema. Write all...
Gloria would like to construct a box with volume of exactly 55ft3 using only metal and...
Can the Mean Value Theorem can be applied to the function f(x)=(5x-2)/(x+1) on the interval [-2,2]?...
Show that for F(x, y) = 〈6x2y − 4, 2x3 − 4y3 + 4〉, the line...
1. Suppose the total weekly cost (in dollars) of producing x fuel tanks is given by...
In a memory experiment, Alice is able to memorize words at a rate given by M′(t)=−0.003t2+0.6t....
With a dosage of x cubic centimeters (cc) of a certain drug, the resulting blood pressure...
If f"(c)=0 or indefinite then we can say that (c,f(c)) it is: a. A possible maximum...
Let f(x, y) = (2y-x^2)(y-2x^2) a. Show that f(x, y) has a stationary point at (0,...
A large tank contains 800 gal of water in which 42 lb of salt are dissolved....
The water depth on August 1st at a certain location in English Bay is modelled by...
x(t)=9-8t-7t^2, Find velocity, acceleration at t=2
Use the method of cylindrical shells to find the volume of the solid found by revolving...
Find the area enclosed by the function r = 1 – cos θ
Find two numbers whose sum is 45 and whose product is a maximum. (If an answer...
Calculate the derivatives of the following functions: f(x)= sec−1 (x^7 ) · log3/4 (13 − 5x^4...
Show sigma (-1)^n2^n/3^(n+1) from [0,infinity)
x = (2y + 6 ) ^1/2 * x , x = y - 1 Q...
In the following functions: a) Find the gradient of f. , b) Evaluate the gradient at...
Given f(x,y)= x^2+y^2+2, subject to the constraint g(x,y)=x^2+xy+y^2-4=0, write the system of equations which must be...
Write in pseudo-code how to find the average grade for a class given: quiz grades q1,q2,q3,q4...
to establish a trustfund of 120,000$, 3 years from now at an interest rate of 20%...
A Norman window has the shape of a semicircle atop a rectangle so that the diameter...
Show that the line 9x+y-1=0 is tangent to the curve h(x)=(1-9x)(1+3x2)
In this problem, y = c1ex + c2e−x is a two-parameter family of solutions of the second-order...
solve the initial value problem: 2x-3e^(3x)y-e^(3x)y'=0 y(0)=2
Find the general solutions for the following differential equations: a. (D^2 - 8D + 16)y =...
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