Find the angle between the pair of vectors below. u = (2,3) and v = (-2,5)

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A: We will evaluate the given integral in the following step.

Q: how did you get the final answer??

A: Let's find value of rate of change of slope with respect to x.

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A: We have to draw the diagram and time required.

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A: In the given problem first we sketch the region of integration for Q and then reverse the order of…

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Q: Sketch the vector field F(x, y) = i + 3j and calculate the line integral of F along the line segment…

A: We have to sketch the vector field.

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Q: lim X→+∞ 5 In³ x 2 X²

A: Let's evaluate limit.

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Q: HOW DID YOU GET THE ANSWER??

A: Let's find general equation of circle.

Q: x= t2 - 4t y= 2t3 - 6t what is the minimum and the maximum point?

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Q: 5. Use the graph to estimate the limits or explain why the limits do not exist. V (a) lim F(x) x-0…

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Q: Exercise (1-3): By Charpit method solve the following PDE (1): p²x+q²y=z

A: This is a problem related to partial differential method. Based on the general formula and concept…

Q: 1 x² dx So √4-x²

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Q: 3. Find the member of the curve whose slope at any point is and passes through the point (1, 1)

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Q: For each graph, choose the function that best describes it. (a) (b) (Choose one) (Choose one)…

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Q: Convert each pair of rectangular coordinates to polar coordinates where r>0 and 0 ≤ 0 <2. 1) (-3,0)…

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Q: 1. Evaluate the given integral Q. Q - CC² LL- (x - y) dx dy y²

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Q: A cylindrical can is to be designed with a capacity of 1000 mL. Find the dimensions of the can,…

A: Given problem:- A cylindrical can is to be designed with a capacity of 1000 mL. Find the dimensions…

Q: Find the gradient of the function f(x,y)=5y-x at the point (8,9). Then sketch the gradient and the…

A: See this solution in below

Q: Suppose F(x, y) = xyi + (x −y)j and C is the triangle from (4,0) to (-4,0) to (0, 4) to (4,0). (a)…

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Q: These are separate quesitons

A: a) At x = 2, f(2) lies in the fourth quadrant where y is negative. So f(2) is negativeb) From the…

Q: Physical Applications of First-Order Differential Equations A body of unknown temperature is placed…

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Q: The average value of f(x, y) over the rectangle R = {(x, y) | a ≤ x ≤ b, c ≤ y ≤d} is 1 fave = (b −…

A: The average value of a function f(x,y)  over  R={(x,y): a≤x≤b,  c≤y≤d}is given by1(b-a)(d-c) ∬R…

Q: 1. Evaluate the given integral Q. J[(y - 2x) dA, R where is the region bounded by x = 0, y = x, x =…

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Q: Convert each pair of polar coordinates to rectangular coordinates 1. (2,315 degrees) 2. (1,…

A: 1) We know that relation between cartesian co-ordinate and polar co-ordinates, x=rcos(θ),…

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Q: 4 0 dx 1+ √x

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Q: Give the tightest possible bound (as a Big-O of N) for each of the following functions: 1) f(N) =…

A: Given

Q: PROBLEM 3: 00 Consider the set S= = {A€M₂×3 ×3 (R): A = -[880] where a > 0, b>0, with the usual -0,…

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Q: Question B2 Consider the vectors, 3 p= and q= 2 (i) Compute 3p - 5q. (ii) Find the length of p, that…

A: A detailed solution is given below

Q: 1 1 So (²₁-2²-₂) dx xx+1 x+2.

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Q: If repetition is not allowed, in how many ways can we arrange ♣, ♠, ♦, and ♥ a) four at a time? b)…

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Q: Find the curvature K and the radius of curvature R at (1,2). (A K= √/2. R=₁ R = √2 (В) K= R= 2√2 2√2…

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Q: 5x=2 5. Find the member of the curve whose slope at any point is y+s point (3, 2) and passes through…

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Q: Find L(tet sin 3t) CS Scanned with CamScanner

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Q: 3x 4. Find the member of the curve whose slope at any point is and passes through the 4y

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Q: 3. Find the member of the curve whose slope at any point is and passes through the point (1, 1)

A: The given problem is solved below in detail.

Q: X f(x) =< Q 14/15 7 x + 1 3 ;0≤x≤2 ;2≤ x ≤3 5 Tov Then what is the result of 3 (fx) dx 1

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Q: lim x→>0¯ -3/x 2 x² e

A: This question is based on limits and L' hospital rule

Q: 3. f(x)=x-x³-x²+1 3

A: This is a problem related to derivative of the function. Based on the general formula and concept we…

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Q: 5. Solve the equation in the specified interval. tan x = 2.5, 0≤x≤ 2π 0

A: