If R = {(x, y) : 0 ≤ x ≤ 1,0 ≤ y ≤ 1}, then find (²+1) +2 0 1 arctan O 2√2 3 0 √2 3 O √2 3 (√³/₂2) (+) arctan arctan -arctan 3 (2) dA

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Q: 1. Calculate the following unknown quantities. (a) P= (kx 1000), r= 1.2%, t= Find S.

A: As per the rules we can answer only first question and rest can be reposted.

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A: To use alternating series remainder theorem to determine the smallest number of terms required to…

Q: curl(9z i+ 10x j + 4y k). (9z i+ 10x j+ 4y k) = ( i Textbook and Modia )i + (i )j + (i

A: To find out the curl of the given vector.

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Q: Consider the following initial-value problem. y' - y = 2 cos(7t), y(0) = 0 Find L{f(t)} for f(t) = 2…

A: Given the initial-value problem is y' - y = 2 cos7t,  y0 = 0

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A: Let's find general solution of diffrential equation.

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A: Given, f′(x)=8x​,​ f(4​)=47.

Q: Eliminate A and B. y=Ae2x+Bxe2x Oy -4y2y=0 Oy +4y +4y=0 Oy²-2y-4y=0 |y-4y +4y=0

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Q: Let y = sin (5x). If Ax= Ay~ = error = Find the percentage error - Question Help: Video Submit…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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A: Given, 2x+5y=3y

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Q: Use the definition of Taylor series to find the Taylor series, centered at c, for the function. f(x)…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Given,           ℒ-11s2+1s2+25

Q: 4 Find the arc length of the curve the interval 2≤+ ≤ 5 3 given parametrically by x= 3 + ² y = + ²,²…

A: To find out the arc length of the curve.

Q: 35. Choose the integral which represents the area between two curves given on the picture. 2- 1…

A: To choose the integral which represents the area between two curves given on the picture.

Q: dy dv 2 Find for y = = [ √3 +4 dt. 0

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Q: and a "0" to be false. P 1 1 1 1 0 0 0 0 q 1 1 0 0 1 1 0 Write a truth table for the proposition:…

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Q: Evaluate dw/dt at t=9 for the function ​w(x,y)=ey−ln x​;  x=t2​, y=ln t. Options are: 1) 7 2)…

A: Given query is to find indicated derivative.

Q: Screenshot (1603) Screenshot (1597).png Solve the given differential equation. All solutions should…

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Q: Applying Lagrange Multiplier, what is the minimum value of f(x, y) = x² + y2 where x > 0 and y> 0…

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Q: Find the solution of the given initial value problem in explicit form. y' = (1 - 11x)y², y(0) = - 4

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Q: Given: f(t) sint cost. Evaluate: F(2) Use 2 decimal places. 0.13

A: Given data÷ ft=sintcost We need to find F2=?   Useful trigonometry relation÷ 2sintcost=sin2t…

Q: 16.s) How long it will take for $39,440 to double if it is invested at 6.1% compound- quarterly?…

A: Topic = Algebra As per guidelines , At a  time only one question can be answered.

Q: For an arithmetic sequence, a17 a1 = the sum of the first 65 terms= > Next Question - 47. If the…

A: It is given that, a17=47 and common difference(d)=5 a1=? Sum of the first 65 terms=?

Q: Use Definition 7.1.1. Definition 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

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Q: Find curl (62 i + 7x j + 2y k). curl (62 i + 7x j + 2y k) = (i )k )i + (i )j + ( i

A: Here we have to find the curl.

Q: A triangle ABC has sides that is equal to 11m, 13m, 15m. find the length of median of the 11m-side.…

A: formula: ma = (1/2)2c2 + 2b2 - a2

Q: Which of the following is not a unit vector? 2 A. • (-3/35.0,-/) √5' √5 B. (cos 1, sin 1, 0) C. (1,…

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Q: Hole with r=2 O 5 4

A: Let the lenght of the rectangular prism be=l        the width of the rectangular prism be=b and the…

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Q: Fill in the blank. (Enter your answer in terms of t.) 1 e-{2}- L²s² + n²π² 2_2

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Q: Consider the following initial-value problem. y' - y = 2 cos(2t), y(0) = 0 Find {f(t)} for f(t) = 2…

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Q: enshot (1603) Solve the given differential equation. All solutions should be found. (3y² + 2xy) dx −…

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Q: 3. Pedro walks at te speed of 40 meters/min from the school to home, by taking the longer route of…

A: Pedro walks at the speed of 40m/min from the school to home,by taking longer route of 100 m to the…

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Q: Question Find the linear approximation L(x) of the function f(x) (Enter an exact answer.) Provide…

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Q: Consider the following function. f(x)=√x-9, x> 9 What is the domain of f? (Enter your answer using…

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Q: A population of 400 bacteria is introduced into a culture and grows in number according to the…

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