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Q: Question 7 Determine the derivative of the given function: y = x² e-* Oy=x²e-e* (2x) Oy = 2² +22 Oy…

A: The given function is; y=x2e-x.

Q: Given f(x, y) = 7x³ cos (yº), find fzy (I, y) = fyy (I, y) =

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A: We need to find out the length of legs.

Q: Step 3 Now write the derivative in terms of x by recalling that u = -3x + 7 and v = x + 7. du 1 +=…

A:

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Q: Concept check: Evaluate the following integrals and use the appropriate transformations when needed.…

A: Given integral:- ∫cot4t2dt

Q: eln9

A: Given:- eln9

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A: Given query is to find the interval where functions is decreasing.

Q: Find the Maximum value of the function f(x,y)=x^2−y^2−2y on the curve x^2+y^2=4.

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Q: Find the derivative of: Ř(t) = (sin² (3t + 1), ln(t² − 1), ²+1 –

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Q: Find the solution of 25+1 di +T=80e-0.04² Select one: O a. T = (3.2tc)e-0.04t O b. T = (3.2t + c)e…

A: Here we have to solve the differential equation.

Q: πT sin(x) S. "So" so 0 0 (1 + cos x) dydx 02 01 O none is correct Οπ

A:

Q: -1 y 3 2 (1, e) y = ex (1, 1) y = x¹ 1 2 3 X

A:

Q: Put the equation y = x² + 12x + 35 into the form y = (x - h)² + k: Answer: y = Question Help: Video…

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Q: A rectangular package to be sent by a postal service can have a maximum combined length and girth…

A: NOTE: Refresh your page if you can't see any equations. . x=side of the square cross-section of the…

Q: 3. sin² 3xdx

A:

Q: The volume V of a growing spherical cell is V= r³, where the radius r is measured in micrometers (1…

A: We have given V=43πr3, where r is the radius and V is the volume.  a) find the average rate of…

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A:

Q: Which of the following is the correct form of the partial fraction decomposition of OA.1 + B. 1 + L…

A: The objective is to find the correct form of partial fraction decomposition.

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Q: 2. (x-2) y = y+2(x2) دعا 3

A: Given x-2y'=y+2x-23

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Q: Determine the higher-order derivatives of a function of two variables. Given f(x, y) = x - 5xy³ +…

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Q: Write an equation (any form) for the quadratic graphed below 5+ y = 3 2 1 -5 -4 -3 -2 -1 + -2 -3 1 2…

A: Given query is to find the function of the graph.

Q: Determine whether the sequence converges or diverges. If it converges, find its limit. an = n COS NT

A:

Q: 74. 1 - 2x + 3x² - 4x³ + 5x + 100x9⁹ 99 Paga eid aid -

A: write the sum using sigma notation

Q: f(x) || = ex 1 - ex

A: ddxex1-ex

Q: Find the equation of the plane tangent to the surface G(x,y,z)=2x^2+y^2+3z^2=25 at P=(−3,−2,1).

A: Topic = Derivative

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A:

Q: If f(x) = x5 + x + 1, find (ƒ−¹)′(3). Note: The point (1,3) is on the graph of f. [B] 1 [E] ¹ 6 [A]…

A: Given query is to find the value of indicated function.

Q: i am just very confused, i know all of this is correct but i dont know the basic rules of sets

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Q: 12 -8 I 0 Challenge #6 4 Plot a parabola through the points. When you finish, press "Check My Work".…

A: We have to plot the parabola from the given points

Q: 4. Find an equation of the tangent plane to the surface xy + yz+zx = 3 at the point (1,1,1).

A:

Q: Find the derivative of the function: O y = e(ee+z) O y = e(e + 1) Oye (e + 1) Oy' = eªte²+et Y =…

A: eeex' =eeexeex' =eeexeex+x=eeex+ex+x

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Q: Find the integrating Factor of (2xy² + ]dx + 4x²ydy =( Select one: O a. l/y O b. y^2 О с. у O d.-y O…

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Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 64°C, it…

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Q: Let y=tan(5x + 4) Find the differential dy when z = 2 and da= 0.3 Find the differential dy when - 2…

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Q: 2 y=5 + x3

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Q: Given the function x³ + y³ = 4, find y' Oy = = Oy = = 0 y = = V Oy =

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Q: Problem 1 Given a first-order differential equation: √1 + x² dy-ydx = 0 a) What is the best solution…

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Q: Solve the given initial value problem. dx dt dy dt : 6x + y; || - 4x + y; x(0) = 1 y(0) = 0

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Q: √x² ²-4 .3 x -dx

A:

Q: Given the following graph of a function. 2 What is its domain? O 4 0 (-∞0, +∞0] O (-∞0, 2) U (4,00)…

A: We start at the far left side of the graph. We notice the arrow of the blue graph indicating the…

Q: Evaluate the following integral using trigonometric substitution. 7x² dx (121+x²)² S What…

A: The given integral is 7x2(121+x2)2.

Q: f(x) = e* (tan x - x - x²)

A: We can find the derivative using product rule in the below steps.

Q: 2x²-5x-10 (x+2)(x² −4) dx

A: