Find domain and range 1 f(x,y)= (1/xy) 2 f(x,y)= sqrt(y-x^2)

Q: A farmer finds that if she plants 40 trees per acre, each tree will yield 60 bushels of fruit. She e...

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Q: differential equation. dy dt = y cos(3t + 2) y =   B)  Find the general solution to the differential...

A: Solving questions

Q: b. Si x-2ª 3 1

A: ∫13dxx-2    =  [ lnx-2 ]13   =  ln|3 - 2| - ln|1 - 2| =  ln |1| - ln |-1|   =  0 - 0  = 0 

Q: dx -1 2x+3

A: To solve the following integral

Q: 6. Find k such that the line is tangent to the graph of the function f(x) = k/x and y = 2x + 18.

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Q: Differentiate the function. g(t) = In(5 + t“) g'(t): %3D

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Q: The number of cups of coffee sold at Lauren's Coffee House for each week in November is shown in the...

A: Consider   

Q: u³ = a²t , find d’u %3D dt3 2a4 а. 9u5 10a6 27u8 -10a6 С. Zu® 40a6 d. U8 b.

A: A detailed solution is given below

Q: Find the velocity and position vectors of a particle, given its acceleration and initial conditions ...

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Q: Determine the intervals on which the function is concave up or down and find the points of inflectio...

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Q: (2x-y²)² (x,y) + (0,0) Let f(x,y) = x²+y4 2, (x, y) = (0,0) Find the slope of the tangent line to th...

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Q: 3x²–10xy+3y²–32= 0 Rotate the axes so that the new equation contains no xy term. Analyze and graph t...

A: Given .  Equation 3x²-10xy+3y²-32=0 Let's assume that axis is rotate an angle theta. So new coordina...

Q: Find y' and simplify: y = cot-(eSin ) - esincos t y' = 1+ e2sin t 2 sin t y' = 1+e2: e sin t 2 sin t...

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Q: lim 2+x) In(1-x) x0 (1-e*) cos x

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Q: Problem 13. Let f(x) = 2sirtx) %3D f'(x) =

A: We know that; The Chain rule: fgx'=f'gx·g'x And ddxax=axlnaddxsinx=cosx   Given: fx=2sinx

Q: Find the length of the curve defined by the following function for 0 <t < 2n. 7(t) = (– cos 2t)i + (...

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Q: 30 Choose the best answer: tan x + cot x =

A: Given

Q: Match each graph type with its corresponding function. 1. y= Exponential Function 2. y= log 4x Logar...

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Q: 3. Differentiate the following x2-1 a) y = x2+1

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Q: (a) Ifx + y = 25, find dy/dx. b) Find an equntio

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Q: 31. /| z sin(z + y) dA, R= [0, #/6] × [0, 1/3] R

A: ∬ x sin(x+y) dA,R =[0, π6]×[0, π3]0≤x≤π6,  0≤y≤π3  

Q: Use the cross product to find the area of the triangle with the vertices P = (2, 2, 6), Q = (3,4, 3)...

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Q: 1. Find the domain of the function: f (x) = log2 Show a sign table. %3D Intervals: Test Value: Sign ...

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Q: 5. Let f(x, y) = 3xr² + xy- y. (a) Compute f(1.02, 1.99) exactly. (b) Let f(1.02, 1.99) = f(1+0.02, ...

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Q: Write the equation for the linear function. A = {(x, y): (-4, 2)(-1. .) Oyr y= - 2 Oy= - + 1 y= 2 Oy...

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Q: Let f : R → R be the function defined by 1 f(x) 2* a) Is ƒ is one-to-one? If yes, then explain why. ...

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Q: Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand serv...

A: Find your answer below 

Q: The domain of the graph y = cotx is all real numbers -15xS1 -13xS1 all reals except kT

A: Given query is to find domain of cotx .

Q: Integrands involving quadratic expressions |4x2 — 12х + 5 dx

A: Let I=∫4x2-12x+5dxTake 4 as common I=∫4(x2-3x+54)dx I=2∫(x2-3x+54)dxI=2∫(x2-232x+322-322+54)dxI=2∫x-...

Q: Find the real valued general solution of y" + 5y = 0. %3D

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Q: Using differentials, determine the appropriate increase in the volume of a sphere if the radius incr...

A: topic- differentials

Q: Find the area of the surface obtained by rotating the curve y = sin about the x axis for 0 < x < 7n ...

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Q: ACTIVITY 3: Estimating slope of a tangent line, limits of a function & One-sided limits Estimate the...

A: We are given the curve, fx=-2x2+3x+5 We need to make a tangent line at the point P1,f1. f1=-212+31+5...

Q: Differentiate the followin f(x) = (2x2 - 3x)* 4

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find: Find lim           X2 + x-5        x - ∞        1 -2x - x3 Thanks

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Q: Consider vectors u and v. u = 4i + 2j,  v = 2i + 3j a.) Find the vector projection w = projuv of vec...

A: Us vector and scalar projection formula

Q: evaluate the differential equation: -5y +4y =z-2+

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Q: Name the amplitude and period of y = 2sec3x 371 Amplitude: 3, Period: 2 271 Amplitude: 2, Period: 3 ...

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Q: 22. If y = x+4 then what is 4Y? dx dy a. 4x(x + 4) dy С. dx -4Vx + 8 dx dy b. dx =-4(x + 4)= d. dx 8...

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Q: Find if converging or diverging using nth term test

A: ∑n=1∞-1nn5    an = -1nn5    We can now proceed with nth term test.. 

Q: a. Find a particular solution to the nonhomogeneous differential equation y" + 4y' + 5y = 5x + 3e-. ...

A: a) find the particular solution of the differential equation  y"+4y'+5y= 5x+3e-x  b) find the genera...

Q: Evaluate: lim sin(3x)cot(2x) O a. 2 O b. 3 2 O c. 3 O d. 2 3

A: limx→0 sin3xcot(2x) limx→0sin(3x)cos(2x)/sin2x so now it form 0/0 so we use la'hospital rule differe...

Q: x + 3 For which value of x is the function f(x) = x2 undefined? %3D -3 1 -3, 3 3

A: Given:- f(x) =(x+3)/(x2 -9)  To find:- Value of x where  function undefined

Q: Find differential of the function ? = (x^2+2)^3 dy = ____ dx. When x = 4 and dx = 0.05, compute th...

A: We will differentiate the function Y=(x^2+2)^3 as follows 

Q: cot x+1 V tan x +1 2 COS X cot x sin x tan x

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Q: using laplare definstui fud

A: Find the Laplace transform

Q: The degree of the derivative of f(x) = (3–x)'(x – 12)° is

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Q: Find the radius of convergence and the interval of convergence. k (x + 8)* k=0 Radius of convergence...

A: We can find the radius of convergence and interval of convergence of the series by using the ratio t...

Q: If you average 30 mi/h on a 150-mi trip and then return over the same 150 mi at the rate of 50 mi/h,...

A: In this question we have to find the Average speed for the trip.

Q: 240° = radians. 3 3 3 3

A: Given query is to find measure of the angle in radian.