If $200 f(x) dx = A and 200 f(x) dx = B, then 130 f(x) dx =? 50 130 A+B B-A 0 O A-B

Q: Equation Conversion from Rectangular to Polar Coordinates x=rcos 8 y = r sin 0 1. Convert each…

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Q: hello! Just a question, how are you sure that the given radius (2m) is on the top, not the base?…

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Q: Converting Polar / Rectangular Equations Homework Equation Conversion from Rectangular to Polar…

A: We know that general algebraic rule is - (a-b)2 = a2 + b2 -2ab  And trigonometry identity is-  sin2x…

Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 2x + 4y = 4,…

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Q: 4. (a) Find (b) Hence evaluate d dx √1+x² X S (1+x²)³/2 dx.

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Q: Use the shell method to find the volume of the solids generated by revolving the shaded region about…

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Q: 12. y = 1 3t + 1³ X= 31² 1+1³ 3

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Q: Evaluate the limit using L'Hopital's rule. Ansu an INTEGER value, with NO decimals, no spa lim (x-7)…

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Q: Let L(z) be the linearization of f(x) = sinz+1 at the point z=. Find L(π/2). 0-1 O pi/2-1 O pi/2 + 1…

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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.

Q: If R is the disc with center at the origin and radius 5 then the numerical value of [xdA is equal to…

A: Please follow the next step.

Q: Question 1 If A = {x+|x-1| : x € R}, then which of ONE the following statements is TRUE? O A. inf A…

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Q: What type of limacon is the graph of the polar equation given by r = √3+ cos 0? O Limacon with a…

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Q: The power series representation of f(x) = n(x²-1) is given by ΑΣ (-1) -1. I =1<x<l #ΞΙ 8+1 B. None…

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Q: A milk truck carries milk with density 64.6 lb/ft3 in a horizontal cylindrical tank with diameter 6…

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Q: Not yet Simplify 3-3-1-3-2 O a. 5(3-2) O b. none of these Oc. с. 3(53-2) O d. 33-2 o e. 3³-n

A: To simplify the given expression .

Q: Evaluate the following definite integrals Lx finck if fo for if xxO (sin x 1 x >0

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Q: Complete the table of values below. Then, sketch the graph of r = 2 - 3 cos in polar coordinate…

A: Here we have to find the value of r and then plot the polar graph.

Q: Determine the value of k for which Assume that k is a positive number. k k 1/² 2/² | = 4 2k = 0

A: Given determinant of the 2 by 2 matrix is 0

Q: If u = eª₁x+₂y+a, where a₁, a2, a3 are constants and 2² u J² u 2² u + = U. a² + a² + a² = 1. Show…

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Q: S²S 1/2 The numerical value of 2e dxdy is equal to

A: Solve the following

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: Solutikn is not clear, can it be handwritten please. Thank you.

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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: y"+y' = 0; y(0) = 0, y '(0) = 1 cost + sint t + cost + sint B) 1- e-t t-e-t O A) O D)

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

Q: +1²y=y² If the function u = ln (2¹+2²4 - v² ) then a Su rou + you is

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Q: Find the Critical points of the ff equation and Determine the Maximum and Minimum. - 2. y= 4x -432x…

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Q: The force on the triangular plate that is submerged in water as shown below waters surface 6m 4m is…

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Q: Find all points on the curve y = x3 + 2x2 -6x +5 where is the tangent is parallel to the line 2x + y…

A: The given curve y=x3+2x2-6x+5

Q: 12 The value of the definite integral fm1² √ex – 9 dx is in the form F (b) – F (a), where a 19 and b…

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Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. Then Arearegion = S [² f(x) dx + √° 9( g(x)…

A: Given the region is bounded by y = x3 , y = 2x+4 and y = -1. Intersection of y = x3 and y = 2x+4 is…

Q: Use the shell method to find the volume of the solids generated by revolving the shaded region about…

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Q: The numerical value of the lim n+3 nln (2) "→ ∞ \ 11 + 1 is equal to

A: We need to evaluate the value of the following limit limn→∞n+3n+1nln2 Formula Used: limx→∞1+axx = ea

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

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Q: Solve the following differential equations: 1 √1-3x (a) -dx + sin y cos 2y + 1 dy = 0 (b) x²y + x³…

A: I am attaching image so that you understand each and every step. Here "c" is integration constant.

Q: 5. x-y(2-y) and x=-y

A: The given curves are; x=y2-y and x=-y Now find the point of intersection between the given curves.…

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

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Q: y=x² - 4x and y=−x² + 2x.

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Q: Find the volume of the solid generated by revolving the given plane area having the given boundaries…

A: Solve the following

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

A: Given problem:-

Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. Then Arearegion = [*^f(x) dx + [²8(x) x +…

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Q: Pls

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Q: (a) Evaluate the following integrals: π cos(x) dx dy 4y

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

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Q: The power series representation of f(x) = n(x²-1) is given by O A. -1 -x+1, -1<x<1. n=in+l O B.…

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Q: dx Consider S= using rationalizing substitution. x1/2 + x2/3 Find the integrand in terms of z. A…

A: find out the integrand in terms of z.

Q: (x²-2x) (In x³-3 tan x) x√x

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Q: find 04 O B O 7 O -12 af ду dy' given f (x, y) = e + 2xy² – 4y at (0, 3) -

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