əz az A. For each of the following functions z, find - and дх ду 1. z= sin3x cos4y 2. z = tan-1 (2) 3. yz + xz + xy = 0

Q: x2 - x 1+ 3x? – 2x3

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the area of the region which is inside the circle r = 2 and outside the cardioid r = 2(1-cos+).…

A: Given

Q: V4n + 5n° + 2 {a,} = 5n² – 7n+3

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Q: Find the inverse transform, indicating the method used and showing the details: 2s - 10 -5s 1. s3 3s…

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Q: Use the method of Lagrange multipliers to maximize the function f(x,y,z)=4x+2y+z subject to the…

A: Let's find.

Q: 1 е. (s²+1)(s²+4s+8)

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Q: Joanne sells silk-screened T-shirts at community festivals and craft fairs. Her marginal cost to…

A: answer is in next step

Q: Find the volume oF the solid obtained by rotating about the x- axis oF the region bounded by y= *,…

A: A detailed solution is given below.

Q: S 3p? tan" p dp

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Q: The average amount of time that a customer waits in line for service is given by W(x, y) = y < x…

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Q: h(x, y) = : x³ – 3x + 3xy? 2

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Q: evn+2 2+3 n=1

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Q: dr 21. (1+x²)/16 – (tan-l r)² dx e2x+2+2 22. 8. dx x2 - 6x + 25 23. 6. 24. dr J (2 - r)V - 4x +3 dr…

A:

Q: Suppose that P dollars in principal is invested for t years at the given interest rates with…

A: Solved below.

Q: Question 3 (a) Find the first and second derivative of the following function, in which a and b are…

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Q: y" + 4y= cos'x

A: Given: y"+4y=cos2x

Q: Triangle BAC is a 30°°-60°°-90°° right triangle. 600 30° A C If BC = 15, what is the measure of AC?…

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Q: ²+² +1) d + a (a – 2y) dy = 0 %3D

A: Given problem:- Find the solution of the given differential equation:  (x² + y² + 1) dx + x (x - 2y)…

Q: 2x e dx 4е2х —8е" +5 -

A: The integration of the integral is  e2x/(4e2x-8ex+5).

Q: y" + y= tanx

A:

Q: Sin'e+ 3sine - 4

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Q: Volume of Solid Revolution(Circular Disk/ Washer Method) Find the volume of the solid generated by…

A: Given problem:- Find the volume of the solid generated by revolving the area bounded by the given…

Q: Find Valke of nhegal Sxdx X dx

A: To evaluate the given integral

Q: Given the points A(-2, 3, 1), B(0, 0, 2), and C(-1, 5, -2) Determine ZBAC, the angle between AB and…

A:

Q: 3. Find the curvature K of the space curve r(t) = (cos³ t)i + (sin³ t)j. (Note: Since you aren't…

A:

Q: e ( +5t –2) 6. 5 (s – 2) (s - 2)² O Option 3 O None of the Choices 6 + 5(s – 2)² – 2(s - 2)° (s -…

A: To find the Laplace transform of f(t)=e2tt3+5t-2⇒f(t)=e2tt3+5e2tt-2e2t

Q: sin 2t sin 5t S 8+3 s+7 O None of the choices O Option 1 20 10 s4 +58s2 +441 s4 58s2 + 441 Option 3…

A:

Q: 1. Find the lim f(x), value of f(-1). Is the function continuous everywhere? If not, where is it…

A: The objective is to solve the above question.

Q: 3 Use the linear approximation to estimate Af = f(3.1) – f(3) for f(x) = I+x (Use decimal notation.…

A:

Q: Use the Linear Approximation to estimate Af for f(x) = when a = 2 and Ax = 5+x (Use decimal…

A: Linear approximation is an approximation of a function with the help of a linear function.  Suppose…

Q: Let p(x) be a polynomial of degree 3. Its derivatives, around the point æ = -5, are as follows:…

A: solution:-let p(x) be a polynomial of degree 3p(x)=ax3+bx2+cx+dwhere a,b,c &amp; d are parametersat…

Q: Describe all absolute extreme points of P. Select the correct choice below and, if necessary, fill…

A: Let's find.

Q: Find the slope of the tangent line to the r=2-3cos 0 in polar coordinate at 0 =

A: Given:-r=2-3cosθdrdθ=3sinθTo convert from Polar Coordinates (r,θ) to Cartesian Coordinates (x,y)…

Q: For the function f (x) = x4 - 4x3 + 5, find the local and absolute extrema and any points of…

A:

Q: Find the area of a parallelogram formed by the vectors PQ and PR, where P = (- 3, 4, 3), Q = (6, 6,…

A: .

Q: Σ Suppose the Maclaurin series f(x) is f(x) =£ n=0 Find the Maclaurin series for the following.…

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Q: - «) lim (2 – ez x→0

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Q: The focus of the parabola defined by the equation x2 = 20 y is (4, 5) (0, 0) Option 1 Option 2 (0,…

A: Given query is to find the focus of the parabola.

Q: A plane P, in R'is perpendicular to the vector i = (4, 5, 7), and contains the point (3, 3, 8). a.…

A: A plane P1 in R3 is perpendicular to the vector n→=4,  5, 7, and contains the point 3, 3,  8.a To…

Q: Use Shell Method only Find the volume of the solid obtained by rotating about the y-axis the region…

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Q: SIn(5 + Vr)dr Algebraic Substitution

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Q: x=t² +3t +5 Determine the arc – length of the curve: y = (2t- +2

A: solution:-given curve x=t2+3t+5y=232t+43/2+2dxdt=2t+3dydt=22t+4

Q: (t- 1)* 24 24 4 24 24 4 1 85 84 g5 84 82 O Option 1 O Option 2 24 24s 12s² + 4s3 + s4 12s2 + 4s3 + s…

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Q: Given the serles Does this series converge or diverge? O diverges O converges If the series…

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Q: dx 4x2 -8x + a a. S そ m 14cx-0+51+ s5 tom'/22 4 -2 b. I m1a(x-1)"+51-55 toni" )+c Ciln14 Cx-1)+sl+…

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Q: The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula…

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Q: 4 -2 3 1 3 2 15) - 2 1 Ans. -3, 2 ; 5, 0 1 2 2

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Q: Find the Laplace Transform of the functions PLS ANSWER ASAP

A: We need to find laplace transform.

Q: Find and classify all critical points of the function defined by h(x,y)=x^3−3x+3xy^2.

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Q: 4x +3y -5z =5 -3x +3y -15z = 18 -5x -2y +5z =-9

A: