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Q: Find frxx and fryx for f(x, y) = xty² – x³y.

A: We will find the partial derivatives. 

Q: 2х-3 3. у %3 Зx+4

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Q: Part A The human heart consists largely of elongated muscle cells, some 100 µm long and 15 um in dia...

A: We need to choose correct option.

Q: Determine whether the integral is convergent or divergent. The integral from negative infinity to 0,...

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Q: .3 dx S (x4+ 16)' 2

A: This question is based on indefinite integral.

Q: Find the first partial derivatives of the function z = (2x + 3y)10.

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Q: A silver dollar is dropped from the top of a building that is 1317 feet tall. Use the position funct...

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

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Q: Evaluate the integrals C f (z) dz, where C is the unit circle centered at the origin and f (z) is g...

A: As you have asked multiple subparts so I have answered first three subparts as per the guidelines.

Q: Write the first five terms of the sequence: 17 ln n n Determine whether the sequence converges, and ...

A: We will find the first five term of the sequence and also find the limit if given sequence is conver...

Q: Express the surface area of revolution for: x = (y^4/4) + 1/(8y^2), 1 ≤ y ≤ 2; x@axis ( Express ds= ...

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Q: How do I simplify (9-sin(x))(4-3cos(x))-(9cos(x))(3sin(x))

A: Given that: (9-sinx)(4-3cosx)-(9cosx)(3sinx)

Q: 3, use the separatibn of Variables and solve the following equatibn %3D

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Q: Use implicit differentiation to find y' and then evaluate y' at (-3,1). x2 - 9y = In y ... y' =D y'l...

A: Given: x2-9y4=lny   We know that; The Sum rule: f±g'=f'±g' The Power law: ddxxn=nxn-1

Q: Let f(x) = x' cos ( x-) and calculate ed S(x) dx by using integration by substitution. What was your...

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Q: (х — 2)(г + 2)( +1) (х + 3)(ӕ + 1)

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Q: Use the parallelogram law to verify the triangle inequality |u + v| < Ju] + ]v[ for the given comple...

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Q: /3 Without using a calculator: tan¬1 ( 3

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Q: Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given m...

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Q: Evaluate the following:

A: Given that: ∫(6x2-4x+1)dx

Q: (х — 2)(х + 2)(г+ 1) (г + 3)(ӕ + 1)

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Q: lā + b| = |a + b|

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Q: Evalvate the limit lim Cos x In(x-) -IT メーフクT ne-e

A: The given limit is: limx→π+cosx lnx-πlnex-eπ To evaluate the given limit.

Q: sin 2x (12-In? | tan(x)|

A: given integral ∫4sin(2x){12-(ln|tanx|)2}

Q: A country's production of solar power, in megawatts, can be modeled by f(1) = 440(1.4) , where t is ...

A: This question is related to differentiation, We will solve it using given information. 

Q: 2) Find the symmetric equation of the line containing the point (1, 2, 1) and perpendicular to the p...

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Q: Find equations of the tangent plane and normal line to the surface z + 19 = xe cos z at the point (1...

A: We have to find tangent plane equation and normal line.

Q: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper frac...

A: To determine the sum of the following series.71⋅3+72⋅4+73⋅5+ ...  

Q: Solve in linear equation or bernoulli (2x+3)y'= y+y²(2x+3)^½

A: 2x+3dydx =y+y22x+312

Q: 10. Show that the function f(x, y, z) = 2z³ – 3z(x² + y²) satisfies the Laplace Equation, = 0

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Q: x*-4y2 Find lim (x,y)¬(0,0) x2+2y2 if it exists, or show that the limit does not exist.

A: The given limit limx,y→0,0x2-4y2x2+2y2

Q: Express the repeating decimal as a fraction. 0.904818181818... 0.904818181818...

A: Let x=0.904818181818... Multiply 1000 on both sides.

Q: Evaluate the integral. Show all your work. sin? x cos' xdx

A: ∫ sin2xcos3xdx

Q: Calculate the improper integral if it converges, or show that it diverges. 1 dx -

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Q: Discuss the similarities and differences between what it means for a sequence to converge and what i...

A: Let's find. 

Q: 1+x2+y2 Determine the set of points at which the function F(x, y) = is continuous. 1-x2-y2

A: In this we have to check Discontinuity of equation. 

Q: 3. lim f(x) = -2, lim, f(x) = 2 and f(2) = 0 4. lim f(x) = +0, g, f(x) = -0

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Q: y² cos x - 3x3y - 2x) dx + (2y sin x - x³ + Iny) dy = 0, when x = 0, y = e x² - 1) dy = ((1 + x)2 - ...

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Q: Compare the right-hand and left-hand derivatives to determine whether or not the function is differe...

A: Follow the procedure given below. 

Q: Integration. Evaluate the following

A: Given that: 1. ∫x2x3+7x-5x+10dx2. ∫y2+6y-3dy

Q: (a) What is the rate of change of f(æ, y) = 2xy + y² at the point (2, 1) in the direction i = –3i – ...

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: Series  convergence and divergence 

Q: 32xdx

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Q: The cost in dollars of producing x units of a particular telephone is C(x) = x² - 2500. a. Find the ...

A: Follow the procedure given below.

Q: Find the average velocity over the interval [1,4] Find the average velocity over the interval [1,1 +...

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Q: 1. Find an equation of the line that is tangent to the graph of f and parallel to the given line. 1 ...

A: Topic = Functions

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region a...

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Q: 3. Evaluate all the first partial derivatives of the given functions at the given point. of of 1 a) ...

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Q: b) Suppose that f(x) 1 if x is negative. Can ƒ be continuous at x = 0?

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Q: d x 2. 2 dx 5X = 8e when t 0, x = 4 - 8

A: