df Find and dx dy for the following function. 7 f(x.y) = x' - 3xy + 6y? df

Q: Let y = tan find the differential dy of the function.

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Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 16 + x²-y²…

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Q: 2. Use membership tables to prove that A - (BnC) = (A – B) U (A – C).

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Q: Use the Divergence Theorem to evaluate F N dS and find the outward flux of F through the surface of…

A: See is solution

Q: 4. J 5 5. S 12 7 in 3x dx 6. S (10 x - 40) dx x 2 - 8 x + 15 8. S

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Q: Find the derivative of y = sin x³ cos x?

A: As per our  guidelines we are supposed to answer only one question. Kindly repost  others  questions…

Q: (a) Find the equation of the tangent line at A. (b) Find the area of the shaded region enclosed by…

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Q: 1) Find the Taylor series for f(x) = In x centered at 3. Show All Your Work.

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Q: Find two non negative integers whose sum is 25 and whose product with the square of the other number…

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Q: The area bounded by the line y = x, the x - axis, the ordinates x =1, x = 2 is 3/2 O 5/2 O 1/2 7/2

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Q: Discuss the symmetry of the graph of each polynomial function. 1. f(x)=2x 3. f(x)=-x' 5. f(x)=(x-3)*…

A: Given Polynomial f(x)=2x f(x)=x2+1 f(x)=-x3 f(x)=x4-x

Q: 8. To find the derivative of y = cot* (2x), which of the following is the appropriate value of u? A)…

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Q: 4. STT- COs y dy -COS

A: The objective of the question is evaluate the indefinite integral.

Q: y= v16-x -4 -2 2

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Q: (3x-2) dx f x²+ 2x + 15

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Q: . Find dy for each of the following: dx 2-x? a) y = ln- 1+x b) y = Vx+e-x c) y = 52x+3

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Q: Find the area of the surface generated by revolving the curve about each given axis. x = St, y= 9t,…

A: We have to find the surface area.

Q: Find the dy/dx: Given y = 3x +2x-1

A: solution:-y=f(x)=3x2+2x-1f(x+h)=3(x+h)2+2(x+h)-1             =3x2+2xh+h2+2(x+h)-1…

Q: Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile…

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Q: 11. Prove that tanh y du = In cosh u + C

A: The integration of the integral is tanhu.

Q: s+1 1. F(s) = 2.F(s) = s4+s2 2 (s +2)'+n?n²

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Q: 5. S 7x°csc²3x7 dx du = answer:

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Q: 5. Find an expression for y(4) if y = e'sin t.

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Q: Suppose f(x, y) = x" + y*. Find fa(1, 1), f,(1, 1), and fz (x, y)

A: Given :f(x,y)=xy+yx

Q: A ladder 13 ft long leans against a vertical wall. If the top slides down at 3 ft/s, how fast is the…

A: We can find the rate of decrease of angle of elevation as below.

Q: Exercise 195 Further problems on Leibniz's theorem 8. If y = (x³ + 2x²)e2* determine an expansion…

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Q: 5.) What can you conclude when dx is changing from negative to positive? A) fis at a local minimum…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 1) Find a power series representation for the function and determine the interval of…

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Q: Exercise 195 Further problems on Leibniz's theorem 5. Find an expression for y(4) if y =e'sin t.

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Q: Find S(-3e-3t + Vt)dt

A: Basic integration formulas are used. I have stated the used formulas in the solution.

Q: Solve for x. Leave answers in exact values. a) In(e**) = 25 b) 20 = 4e-2x c) eln(ax) = In e %3D

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Q: C. Find y" for the following functions a. y-3y-x = 0 b. x + 4y2 = 12 C xy COs y

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Q: 4. Which of the following is the maximum value or the minimum value of the graph of polynomial…

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Q: 1. Evaluate (i) dy dx, 3

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Q: 1. How fast is the volume of a cube changing when the edge is 15 cm if the edge is changing at the…

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Q: 1. Get the first derivative f': 2. Find the factors: 3. Find the critical numbers: 4. Get the second…

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Q: dy Use Picard's method to solve dx -xy, y (0) = 1 Find y3(1)?

A: Given :dydx=-xy =f(x,y)y(0)=1

Q: х3-4х-10 х2-х-6 (2x + 21n|x – 31 – 4 In |x + 2|) + C (2x + 2 In|x – 3| + 4 In |x + 21) + C Option 1…

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Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of the Norman…

A: We have to find radius of semicircle and height of rectangle.

Q: QUESTION 6 Determine the unique solution of the following differential equation by using Laplace…

A: Let's solve given diffrential equation by using laplace transform method.

Q: ACTIVITY 2.Solve the given below. Show your complete and exact solution. 5. Given the function f(x)…

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Q: Find the radius of convergence and interval of convergence of the series. (Enter your answer as an…

A: Let's calculate radius of convergence and interval of convergence of the given series.

Q: solve

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Q: xydy – (y 3x2) dx = 0 –

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Q: = 1 and z = g(x, y) > 0. Determine gz 23 2/2, Suppose 3x2 + 2y² + z2 and gy 2/3' 2/2

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Q: 3. Jy

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Q: 2. Solve the equation: y" – y " -2y' = 0 O y = cje* + c2 + cze2* O y = cje* + c2e* + c3e2*

A: The given equation is  y'''-y''-2y'=0

Q: Find the nth Maclaurin polynomial for the function. f(x) = eX, n-5 Ps(x) =

A: In this question, we want to find the maclaurin polynomial of the given function when n=5.

Q: 30 +4) de 3e+ )

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Q: 3. X sinx eas x dx 2.

A: To find out the integration.