Find the local maxima, local minima, and saddle points of z = f (x, y) = x2 + y* + 2xy Identify a,y,and z values of each.

Q: List the eigenvalues of A. The transformation x-Ax is the composition of a rotation and a scaling Gi...

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Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. 489x хе dx ...

A: ∫xe489x dxBy using integration by partsu=x, v=e489x

Q: The given integral is Te-x³(-3x²)dx. Let -x. Now differentiate u with respect to x. That gives U = d...

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Q: 2+x 9 y = Arctan( ) 1- 2x 10. x = cos't ; y = sin't

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Q: Solve the differential equation y - X) - + sin + sin (* y'

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Q: find the second derivative of y = x In x A 1/x в) 1/2х D) 2x

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Q: Find the derivatives of the following functions: 1. y = 2x3 + 6x 2. y = 7x* - 3x? 3. y = (3x +1)(2x ...

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Q: 8. Using (4.6), find the polynomial P2(x) that interpolates the following data. In each case, simpli...

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Q: x2 dx | (a3 + 2x²) da 3 + 3x2 + 1 dæ

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

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Q: 83. The acceleration of a particle moving along the x-axis is given by a(t) = (t- 8)sin t for 0 <IS ...

A: we know a(t)=d(v(t))dt where a(t) is the acceleration, v(t) is velocity and t is time. The particle ...

Q: a) [ „J: Evaluate the integral (4x + 1) In x dx b) ' . Evaluate the integral fou 6 tan' x sec* x dx ...

A: a) Given:       ∫4x+1ln x dx Integrate by parts: ∫fg'=fg-∫f'g where f=ln x , g'=4x+1           f'=1x...

Q: Question 7 Find the volume generated if the region enclosed by y = x? and the line y = 2x is revolve...

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Q: +o0 E(-1)" n=2 n?

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Q: 4. Verify. COSX 1+sinx = 2secx %D а. 1+sinx COSX b. cosx(1+ tanx)² = secx + 2sinx %3D

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Q: A cuboid has a square base of side (2 + 3)cm and a volume of (16 + 9 3)cm³. Without using a calculat...

A: It is given that, A cuboid has a square base of the side 2+3 cm and Volume of 16+93 cm3. Without usi...

Q: Determine the maximum and minimum values ​​of the function f(x, y) = 2 +x+ 3y, in the region  x ≥ 0...

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Q: Evaluate the following. x2 - x 1 dx J1+3x2 – 2r3 CO 2 dx 1+2 sin a x2 +2 dx r+1 2)

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Q: 1+ cos?v cos?v

A: topic - indefinite integral

Q: om the table, determine the following limits. I-5 1. lim I-3- I-3 HI5 4. lim I-3- r2 - 6r +9 5. lim ...

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Q: Question Select your answer. Find the derivative of f(x) = 5/I with respect to r. 2x 5 Answer

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Q: Given cost function C(q) = q° - 125q + 26000q, what is the minimum average cost? It would be $per it...

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Q: Exercise 2 Find symmetric equations of the normal line to the surface 4 + y – 162 = 0 at (2,4,2). (a...

A: Given surface is     4x2+y2-16z = 0We will find the symmetric equation of the normal line to the sur...

Q: Reduce the equation to one of the standard forms, classify the surface, and sketch it x^2-y^2+z^2-2...

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Q: 2ce2x Curves y = 1+ce2x

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Q: differential equation .2x 2

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Q: 4. The derivative of f(x) = ln x at x = 3 when hpresent = 0.001 and hprevious = 0.002. %3D 5. The de...

A: f(x)=ln xhprevoius=0.002f'(x)=f(x+h)-f(x)hf'(3)=f(3+0.002)-f(3)0.002f'(3)=ln(3.002)-ln(3)0.002f'(3)=...

Q: Solve the differential equation (D³ – 2D² – 5D + 6)y = (e2x + 3)2 %3D - -

A: To solve the given differential equation.D3-2D2-5D+6y=e2x+32

Q: I ind the second derivative(y") of the following functions and simplify the final results. 1. y = x3...

A: Given y=tan-12+x1-2x To find y'':

Q: CURRENT OBJECTIVE Calculate the derivative of an inverse function Question 4 2x Find (f-1)'(a) for f...

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Q: -6 -5 4 The plot above is created with the parametric equations S¤(t) = a cos(bt) y(t) = c sin(dt) T...

A: Solve the following

Q: Use the degree 1 Taylor polynomial for f(x) = Vx centred at a = 1 (from question 2) to find an appro...

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Q: 8. Use the image below to answer the following. Show your work, but you may use technology to calcul...

A: The centroid of a region R is given by x, y=MyM, MxM, where we have M=∬RdA; My=∬Rx dA and Mx=∬Ry dA ...

Q: C(x) = 1500 + 13x – 0.1x2 + 0.0005x3. - %3D Find the marginal inal cost finctien?

A: Given query is to find the marginal cost function.

Q: 4. y = x0sx

A: Take the logarithm then take derivative twice. 

Q: Given cost and price (demand) functions C(q) = 110q + 44,200 and p(g) = - 1.9q + 890, what is the ma...

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Q: Qal AIf fo =Sx-ul, gca)=x fin d fogcx) Then graph it determine domain and range.

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: IV. Exercises A. Solve the following integrals: (1) /20. (2) / (2e + 4"). da (3) 2(5") dr

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Q: siny Given the integral S" S" dy dx, Sketch the region of integration, reverse the order of integrat...

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Q: Evaluate the given integrals. ex dx 7. e 2x+2ex+1

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Q: 2 sin x –1 2. у 3D cosx+ 2

A: Topic = Derivative

Q: What Mclaurin Series this function represents: En=1(-1)n+1 =" = ¤ n 3 O a. In(1+x) b. cosx c. sinx O...

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Q: 2.) State one of the two formulas for finding the derivative of a function f(x) that uses limits. Us...

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Q: Show detailed solution for all. a) Provide the Maclaurin series expansion of f(x) In(3 – 2.r) p) Fin...

A: To find: The Maclaurin series expansion of f(x)=ln(3-2x). Concept used: The Maclaurin series can be ...

Q: 3. tan(xy) + xy = 0

A: Since, the student has clearly mentioned to solve question number (3), so we are solving only questi...

Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y = 3 – x² and ...

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Q: The relationship between a professional basketball player's height H (in inches) and weight W (in po...

A: Given query is to find the weight at given height.

Q: y = In(x + Jx² +1)

A: This question is based on differentiation.

Q: X X sin². sin? - cos' ,dx CoS 2 2 2.

A: x2=u → dx=2 duI=2 ∫ sin2u cos7u duI=2 ∫ sin2u cos u cos6u duI=2 ∫ -sin2u cos u (sin2u-1)3 dusin u =v...

Q: Given the data points (0, 2), (1, 1), find the following: (a) The straight line interpolating this d...

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