Which of the following is true? * 3 f ƒ (x, y) = x³ – 2xy + 3y² f = -2x+6y + 3xy²; fy=3a²-2y+z³ Option 3 fax = 6 + 6xy; fyy = 6x Option 4 fax = 6x; fay=-2+3y² Option 2 f = 3x²-2y+y³; fy = 6x Option 1

Q: 12. y = 1 3t + 1³ X= 31² 1+1³ 3

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Q: = The cylindrical shell method is to be used to compute for the volume of the solid generated by…

A: We need to choose correct option.

Q: A manufacturer is planning to sell a total of 500 machines to both foreign and domestic firms. The…

A: Solution is here

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A: Using shell method, given format is obtained. From this format, evaluate m-n.

Q: 2 Consider the vector-valued function R(t) with Ả'(t) = (sec²(t – 1), √t' (a) Find R(t) given Ả(1) =…

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Q: W (4) Find Laplace Transform F(s) for the variable x or y in the equations a- y" +2y'-3y=32e³; y'(0)…

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A: Here we have to do the partial differentiation of the given function.

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A: We have to find value of given Integral.

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Q: Kindly make a sign table for the graph

A: Solve the following

Q: tex Given; ·S= dx 2 Applying rationalizing substitution, find dx in terms of z. (2 z + z) dz A z² z…

A:

Q: If the product of two positive numbers is 300, Minimize the sum of the second number and thrice of…

A: To find out the numbers.

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Q: 3. f(x) = x²-1 2x+1 if'(1)

A: Solution is here

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Q: Can you pls show me how did you get this? ln x = -6x  x = 0.2387

A: Let's solve.

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Q: ir answer as a comma-separated list of points in the form (*, *). Express numbers in exact form. Use…

A: Topic:- calculus

Q: 5 3 +-6-0 dx 4 dx 3 dx 2x - 3x a.y = (C₁ + C₂ + С₂)e* + С²e²x + С¸è¯ С_e 2 5 2 2x -3x b.y = C₁ + C₂x…

A: We have to find the solution of  d5y/dx5 +d4y/dx4 - 6d3y/dx3=0 This is a homogenous 5th order…

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Q: find dy/dx and dy/dx2, if : x = a(cosθ + θsinθ) and  y = a(sinθ - θcosθ)

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Q: - Find the value of x of which the function f(x) = O a. none of these O b. 1 OC -1 O d. -3 Oe. 3 2-8…

A: Given:f(x)=12x-8

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A: To convert the parametric equation to Cartesian equation.

Q: Volume about x = -1, y = √x, y = 1 (248/9) π cu units (1372/9) π cu units (26/3) π cu units (23/14)…

A: Volume

Q: 4ex Evaluate Sv dx 2 Use rationalizing substitution. - 8

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Q: Consider the spherical equation given by p sponding equation in Cartesian coordinates. 4 cos sin o.…

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Q: If A = {x+|x-1| : xER}, then which of ONE the following statements is TRUE? A. Set A has a supremum…

A: This question is related to set theory, we will solve it using given information.

Q: Find the derivative of the following using the differentiation rules. x3 +6√x-7x+3 f(x) =

A: In this question, we need to find the derivative of the given function.

Q: The volume, when the curve y = √3+ x2 from x = 0 to x = 4 is rotated about x-axis is O100m cu units…

A: Given:    y=3+x2 from x=0 to x=4  Volume of the curve V=π∫abfx2dx

Q: 4. O y=√3 x=3-y² D

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Q: Find dy/dx by Implicit Differentiation 2xy³ – x²y = 2

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Q: dx dx.

A:

Q: Evaluate the following double integral over the given region R. 11 2 ln(x + 1) (x+1)y Use…

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A:

Q: 7. Evaluate * (D5 - 3D4 + 8D³ + 16D² - 9D - 13)y = 0 y = (C₁ + C₂x)e¯x + С3ex +C4e²x cos3x + C5e²x…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 3 2. Find the area bounded by the two curves y = x = x³- 6x²+ 8x and y = x² - 4x.

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Q: A closed wood storage having a volume of 27 in.3 is to be in the form of a right-circular cylinder.…

A: Given problem:- A closed wood storage having a volume of 27 in3 is to be in the form of a…

Q: S²³² The numerical value of -3√9-2 dx will be equal to

A: Given that ∫-33x9-x2dxSolution:odd even property if f is odd f-x=- fx  then ∫-aafxdx=0

Q: stion 12 The power series representation of f(x) = ln(x²-1) is given by OA. None of the choices in…

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Q: dy Find dif: y = (x - a)√2ax x2 +aarcsin a none of these O a. Ob. a²2 √2ax x² - O C. 2√2ax x² O d. O…

A: Solution of given question is written in below steps.

Q: = log3x + log(5x²-3x) - log3x², express x in terms of y.

A: Topic:- algebra

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A:

Q: Sketch the graph of the function f(x): = 2x-3 x²-4

A: The function is  f(x)=2x-3x2-4

Q: R(t) = [(el-1, 1-², In (2-1) In(2-t)), (t,0, t - 1), if -1 < t <1 if t ≥ 1.

A:

Q: Which among the equation represents for equating the coefficient of x^2 form 3x + 2 = (A+B+C) x^2 +…

A: Given  =&gt;3x+2=(A+B+C)x^2+(-A+B-2C)x+(-2A) =&gt;(A+B+C)x^2+(-A+B-2C)x+(-2A)-3x-2=0…

Q: b- dy +2y=0; y=1 at t=0, y(0)=1 dt

A:

Q: 4. If A = 3xyz²i + 2xy³j- x²yzk and p = 3x² - yz, find (a) V-A, (b) A-V4, (c) V-(Vo) at point (1,-1,…

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Q: Consider a point in Cartesian coordinates given by (3√√/3, −3, −8). (a) Find a corresponding…

A: The given Cartesian coordinates are: (x,y,z)=(33,-3,-8) Now, the Cylindrical coordinates is given…