(9) Find the local maxima, local minima, and saddle points of z = f (r, y) = 1? + y + 2ry Identify r,y,and z values of each.

Q: Prove that 3x +8 Viv = dr dy: %3D where R [-1,1] x [0, 2).

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Q: y' + 3y = 5e2x – 6; y(0) = 2

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: Section 3.7 p. 343/345 # 364 Determine whether the improper integrals converge or diverge. If possib...

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Q: Ísin^8 (3z) cos^5 (3z) dz * O 1/27 cos^9 (3z) - 2/33 cos^11 (3z) + 1/39 cos^13 (3z) + C O 1/27 sin^9...

A: Given integral I=∫ sin8(3z) cos5(3z)  dz

Q: Graph the function. Then use the derivative and algebra to find the location of the critical points ...

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Q: y' - y = 2x? 3

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next ti...

Q: w = x18yz14 + sin(yz)

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Q: A rectangular box with a volume of 64 ft is to be constructed with a square base and top. The cost p...

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Q: Question Find an algebraic expression equal to sin(sec- (5x + 1)). (You may assume that -5 < sec- (5...

A: We are given expression . Now,                  sinarcsec5x+1Use the following identity: sinarcsecx=...

Q: Find the remainder if F(x)=6x^3+49x^2+90x+56 is divided by 3x-3

A: F(x)=6x3+49x2+90x+56 Since 3x-3 is linearwhere 3x-3=0⇒3x=3⇒x=1 Remainder of F(x) when divided by 3x-...

Q: 12x e-y with x 20 and an initia. Solve the initial value problem condition y(0) = 1.

A: Topic = Differential eqaution

Q: lim (r +1)' sin x (c) X-0 2x (d) sin x lim 20? + sin 0 lim (e) 40

A: Topic = Limits As per guidelines , at a time only three sub-parts can be answered. please repost for...

Q: Question Find the equation of the tangent line to f- at the point P (-1, 1) for f(x) = -- 2x- 1 Prov...

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Q: I Find the second derivative (y") of the following functions and simplify the final 1. y = x – x?cos...

A: As per our guideline, we are supposed to answer only the first question, to get remaining kindly pos...

Q: To evaluate the integral 2х — 1 dx x2 – 16 we use the partial fraction decomposition of the integran...

A: Need to find the partial fraction that will use to evaluate the integral ∫2x-1x2-16 dx.

Q: I. Eliminate the arbitrary constants. 4. xsiny + x²y = c 5. (x – a)2 + y2 = a? %3D

A: As per bartleby guidelines we only give first question answers. 

Q: 1 у? sin y 2)lim y→∞ y + /2y3 –1

A: We can find the limit as below.

Q: ſcos (x/2) cos (x/3) dx * 3/5 sin(x/6) + 3 sin(5x/6) + C None of the choices 3/5 sin(5x/6) + 3 sin(x...

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Q: Lesson 13 Find the derivative of the following functions. Show your solution. 1. y = x' cos x 2. y s...

A: This can be solved as follows:

Q: A firm produces 550 T.V. sets during its first year. The sum total of the imm's production at the en...

A:

Q: The radius of a sphere is increasing at a rate of 4.9 mm / s. How fast is the volume increasing when...

A: Volume of the sphere , V = 43πr3 ; where, 'r' is the radius of the sphere.

Q: Give the Maclaurin series expansion of f(x) = ln(3 – 2x). Determine its interval of convergence. App...

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

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Q: O Find a general salution answ r リーx- C-X

A: The given differential equation is: xy'=12y2+y which can be written as: y'=12xy2+yx⇒y'-yx=12xy2 whic...

Q: 1. tan(8) cos(8)

A: Given query is to simplify the expression  

Q: 6 The points P and Q have position vectors, relative to the origin O, given by OP = 7i + 7j – 5k and...

A: (i) Given that: OP→=7i+7j-5k and OQ→=-5i+j+k. It means: P=7,7,-5 and Q=-5,1,1. The midpoint of PQ is...

Q: 22s Determine whetuer the improper e de dliver ges or 16x It elbe converyes

A: Here we have to determine whether the improper integral ∫0∞e8x1+e16xdx diverges or converges.  

Q: Solve the differential equation (y3 – y?sinx – x)dx + (3xy² + 2ycosx)dy = 0 when x - 0, y = –1

A: Topic:- differential equations

Q: Solve the homogeneous equation (x²+y²)dy + x²dx = 0 Please help.

A: x2+y2dy+x2dx=0rewrite in standard format x2+y2dy=-x2dxdydx=-x2x2+y2

Q: ſcos^4 (2t) dt * O 3/2 t + 1/2 sin4t + 1/16 sin8t + C O 1/4 (3/2 t + 1/2 sin4t + 1/16 sin8t )+ C O 3...

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Q: A. Determine the derivative of the following using the Four-Step Rule 1. f (г) — 5x — 4 2. f (x) = 4...

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Q: 1/2 dx r2)2

A: Given problem:-

Q: Evaluate the definite integral V9 – x dx 0.

A: ∫05 x9-xdx  

Q: B Graph the follo wing y, = 2sec2x %3D Yz = 1-25in (x+ ) Y3=2 cotx

A: We know, sin(x+π/2)= cosx Given functions, y1 = 2sec2x y2= 1-2sin(x+π/2) y3= 2cotx

Q: 2x* + х 'f(x) : %3D .3 x' - 1 2х - 3 y = 2 (x² + 4)² b. 2x – 1 y = С. Зх + 5

A: use rule  d(u/v)/dx = (v(du/dx) - u(dv/dx) )/v2 apply here   a f(x) = (2x2 +x)/(x3 - 1 ) f'(x) = ((x...

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

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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: By the fests. 2. a³y = x²(2a² – x²)

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Q: A water tank in the shape of an inverted circular cone has a base radius of 4 m and height of 6 m. I...

A: A water tank in the shape of an inverted circular cone has a base radius of 4mand height of 6 m. If ...

Q: (r +1)' sin x (c) lim - 2.x X-0 sin x (d) lim- X-0 20' lim + sin 0 (e) 40

A: According to our guidelines we can answer only three subparts. Kindly repost the otherquestions in t...

Q: Find the derivative or y'. Show your step by step solution.

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Q: F ind the limit using L'Hopital Rule. lim 4 - 16 3x-16

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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: Find an арprozimation of 1000 i=1

A: Find your answer below 

Q: ř(-1)"+12nx" n2 + 3 Determine the interval of convergence of n=1

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Q: is differentiable at r 2. 2. (a) Using the definition of derivative, compute for the slope of the li...

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Q: 9 y = Arctan(+x, 1- 2x

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Q: Find the area of the region bounded by the given curves. Decide whether to integrate with respect to...

A: According to our guidelines we can solve only three question. (1)y=3x2, y=0 and x=3Area=∫033x2dx    ...

Q: Sin/cos

A: Given query is to simplify the expression.

Q: 1. Sand is being poured into a conical pile in such a way that the height is always one-third of the...

A: