Evaluate [*²*3 sin 2x dx

Q: For the following homogeneous differential equation, given that y1(x) = ex is a solution, find the…

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Q: terval of convergence of the series Σ(√n+1-√n)(x+2)" is given by -3<x<-1.

A: It is convergent when  |x+2|&lt;1  -1&lt;x+2&lt;1  -3&lt;x&lt;-1

Q: 4 3 a 2b0 Matrix A is defined as A = 9). where a, b, c E R. If A = A-¹, C 0 1 then find the value of…

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Q: Use Lagrange multipliers to find the critical points and the relative extrema. f(x,y,z) = x² + y² +…

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Q: If web₁x-b₂y-b3z, w= where b₁,b2, b3 are constants and b² + b² + b = 1. Show that 8² w 8² w 8² w əx²…

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Q: Consider the region on the 1st quadrant bounded by y = √4x²,x and y-axes. If the region is revolved…

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Q: Evaluate the following double integral over the given region R. SS 4 ln(y + 1) (x + 1)(y + 1) Use…

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Q: of Let f (x, y) = tanh-¹(x-y) with x=e" and y= usinh (t). Then the value of dt (u,t) =(4, In 2) is…

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Q: Find the least and greatest distances from the origin to a point on the ellipse x²+4y²=16.

A: Topic:- geometry

Q: The region is bounded by y = x³, y = 2x + 4 and y = −1. Then Area region = [ f(x) dx + √ f(x) dx +…

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Q: May 23, 8:36:52 AM A particle moves along the x-axis so that its velocity at time 0 < t < 18 is…

A: The coordinates are in form (t, v(t) )  The three inflection points are (8, -2), (10, 0) and (12, 2)…

Q: Question 8 The value of x for which the series Σ QAX<2 or 4<x. OB2<x<3 or 3 <x ≤ 4. OC. None of the…

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Q: The area between the curves f(x) = x and g(x)= x^2 on interval [0.2] * 02 Me: wow I finally…

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Q: U= at ² w + 0х2 8² w dy² where 61, 62, 63 are constants and b₁ +6₂ +63 " 8² w + = W. az² Item 8.pdf…

A: Topic:- application of partial derivatives

Q: · ] x = 1 dA over a square region Using the transformations u=x-y and v=x+y to evaluate Rx+y with…

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Q: Which ONE of the following statements is TRUE with regards to lim (x,y) → (0,0) sin (xy) x² + y²

A: The correct answer is option D.

Q: Question 16 : An inverted pyramid is being filled with water at a constant rate of 25 cubic…

A: This is a problem related to derivative of the volume of the square base pyramid. Please follow the…

Q: SHE 1+ (In x)' = dx = (sec x) = f sin x dx = [cos.x dx = (arctan x)': = [f(x) g(x)] = ==dx =

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Q: integrate * S(4√r – V√r² – 6√r³) dr 8 ·12 3 r³ – 2/4 r ² + C 5 35 r-ri-24r + C ² 35 24 3²-5r³+²+ C…

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Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. The x-coordinate of the centroid of the…

A: We first sketch the given region using a graphing calculator.  We will consider the graphs about…

Q: The value of x for which the series Σ- O A. x<2 or 4<x. OB.2<x<3 or 3<x≤4. OC.2<x<4. O D. 2<x<3 or…

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Q: |x-3. Find flexo :)? f(x) = \ / . \

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Q: 1. f(x) = f(x) = 2. = (3x-9)(2x-5) (x-3) 5x +8 (3x+5x)²

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Q: 5fe* (e-2x)dx.

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Q: Consider the series Σ(-1)^ 2³ Which ONE of the following statements is CORRECT? n=1 3" OA. The…

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Q: Part II: Point Conversions 1. Convert (2,7) into a rectangular coordinate. 2. Convert (4,-4) into a…

A: I am attaching image so that you understand each and every step.

Q: * Integral use to solve if series converges or diverges, give example if true or false

A: It is true that the integral is used to solve if the series converges or diverges. The method is…

Q: Find the volume of the parallelepiped determined by the vectors (0, 4, 5), (2, 0, 5), and (-1, 3,…

A: Volume of parallepiped is (a X b).c

Q: n! n=12n! +1 A. The limit does not exist. B. None of the choices in this list. C. The series…

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Q: 2 - Find the average value of the function f(x)=x -21 on [0,6]. The average value of the function…

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Q: 1) Consider the spherical equation given by p = 4 cos 0 sin p. Determine its corresponding equation…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Consider the differential equation y' = y 2 - 4y + 3. Which of the following could be a graph of…

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Q: Q1:/ Find the general solution of non-homogenous differential equation using Variation of Parameters…

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Q: Find the value of (D) solve in detail 1219 = 20.88 * (0.015/60)1.85 4.87 D4 Ans. D= 0.0186

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Q: Is the answer correct?

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Q: Suppose that the price-demand and the price-supply equations are given respectively by the…

A: The price-demand equation is p=Dx=40-0.2x and the price-supply equation is p=Sx=27.5+0.001x2. (a)…

Q: The value of x for which the series A. 2<x<3 or 3<x<4. B. x<2 or 4<x. C. 2<x<3 or 3<x ≤ 4. D. 2<x<4.…

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Q: Set-up the integral using horizontal element for the area of the plane region, 0≤x≤ = 21. bounded by…

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

A: Solution is here

Q: The value of $ (2xy - x²)dx+ (x+y²)dy, where C is the enclosed curve of the region bounded by y=x²…

A: As we know from the Green's theorem: ∫CMdx+Ndy=∫∫R∂N∂x-∂M∂ydA   I=∮2xy-x2dx+x+y2dy And C: y=x2, y2=x…

Q: Use the equation to name each of the characteristics listed. Make sure to use proper notation and…

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Q: Discuss the relationship between the number of solutions of the following system and the constant k.…

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Q: Compute the partial derivative of the function * f(x, y, z)= el-roos(y) +2e=1/(1+²)

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Q: 3x at the point P (2,0, -1) in the direction The directional derivative of f (x,y,z)=ln *(x,y,z);…

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Q: Draw the graph of y = 3x2 + 6x − 24 and label its minimum

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Q: Evaluate S dx √x² +25

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Q: What is r = -12 2 cos 0-7 sin e 2y - 7x = -12 in Cartesian form? x² + y² = -12 2x-7y

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Q: Solve the following deferential equations e-2√x y dx b) √x dy =

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Q: Consider the region on the 1st quadrant bounded by y = √4x²,x and y- axes. If the region is revolved…

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