Which of the following is an exact DE? A. (x² + 1)dx - xydy = 0 B. xdy + (3x - 2y)dx = 0 C. 2xydx +(2+x²)dy = 0 D. x²ydy - ydx = 0

Q: 2. The 2 vectors 4â + 3b and â - 2b are perpendicular. Find the angle between â and b if they are…

A: Given :two vectors :4a^+3b^a^-2b^they are perpendicular

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Q: 13. Determine the distance between the following lines. [x, y, z]= [4,5,9]+s[-3,4,-9] and [x, y, z]=…

A: Above question is solved.

Q: Which of the following is a vector quantity ? a) Volume b) Length Oc) Area d) Weight

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Q: 30.3. Find and classify the isolated singularities of the following func- tions: +1 Z sin 3z (a).…

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Q: Find the constants a and b such that the function is differentiable everywhere. x²-9 x+3 if x < -3…

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Q: Pls help ASAP

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Q: Q17) Evaluate L (2 e-2t sin4t - 0.5 cos3t): 8 S 8 - a) b) (s+2)2+16 2s2+18 (S-2)2+16 252418 c)…

A: 17) To evaluate: L(2e-2tsin 4t-0.5cos 3t)

Q: Let ā= . Find a unit vector in the direction of a

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Q: |y'(1+y)=1−x²

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Q: en ủ × ʊ = (2, 3, 4), find (ũ − 4v) × (ũ + 3v).

A: Topic:- vector algebra

Q: Q3) Given, u (x, y) = xy is harmonic, find a harmonic conjugate v(x, y), write u+iv as a function of…

A: As we know that for complex analysis z=u+iv   then u and v are conjugate to each other.Then by…

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Q: Solve step by step in digital fe 6x - 1 a) lím x→ 1/ 2x - 6 b) lím X-00 x² - 9

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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Q: Q3) Given, u (x, y) = xy is harmonic, find a harmonic conjugate v(x, y), write u+iv as a function of…

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Q: 20. Stan² x dx

A: Consider the integral  ∫tan2x dx

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Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Point of diminishing return is the point where d2Rdx2=0

Q: The function f(x) 2x³ = local minimum and one local maximum. This function has a local minimum at x…

A: The given function:fx=2x3-45x2+300x+6.We need to find its local minimum and local maximum.

Q: Q14) The solution of y'" + y = 0 by using power series method, is: a) y(x) = 40 + a11- + ...) 41 51…

A: 14)    Given differential equation y''+y'=0 ......................(1)    We can substitute…

Q: 3. Waile si Sigma Notatimi 1. 12-201 4 곱 so times 나스

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Q: (a) Find where x² + 3xy + y² = 3 at (√3,0). da

A: topic- implicit differentiation

Q: 2.2 2.3 Determine whether the series below converges or diverges. Determine the first four terms in…

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Q: Q1) L-1 s(s a) cosht -1 b) 1-cosht c) (cosh2t - 1) d) (1 - cosh2t)

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Q: Find the cross product u x 7 where u úxv- 71 +5j +k and 7 (5,- 4,7).

A: This question can be solved using the concept of cross product of vectors.

Q: Find an equation for the hyperbola described. Graph the equation by hand. Foci at (-25,0) and…

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Q: The acceleration of an object (in m/s²) is given by the function a(t) = 8 sin(t). The initial…

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Q: Find the horizontal and vertical asymptotes of this curve. 2x²+x-1 y= = x²+x-2

A: Given.

Q: Convert the following iterated integrals (SET UP ONLY): x² a.) [f dA from Cartesian coordinates to…

A: The simple change polar coordinate...

Q: Write the matrix below as a product of elementary matrices 1 2 3 235 1 05

A: The objective of the question is determine elementary product of matrices ,of the given matrix

Q: 1)y=(8+7x³) Find the derivative of the following functions 2)y = (x +5)*(2x + 3) 3)y=√(x²+3)²

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Q: 12) The formula of the particular solution yp of y(4) + 4y"=3 sin(2t) - 5cos2t, is: a) yp= Asin(t) +…

A: The given differential equation:y4+4y''=3sin2t-5cos2t.We need to find the formula of  the particular…

Q: 3x + 1 Evaluate (x-1) (x+2) dx using Partial fractions.

A: This question can b solved using the concept of partial fractions.

Q: *An Integration factor of the following differential equation dy (x log x) + y = 2log z dx Option 3…

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Q: 3. Find the equation/s of the TL to 9x² +16y² = 52 which is parallel to the line 9x-8y = 1.

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Q: webassign.net/web/Student Assign 10 5 (6,0) (11, 0) -5F (a) Find the length of each side of the…

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Q: XNN y= 2²/2+3

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Q: dh dt k √h(t) ||| h(0) = 2 2 ● T.V

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Q: find the points at which f has a local maximum or a local minimum

A: This question can be solved using the concept of maxima and minima.

Q: that equals 1 2 3 -5 49 2 7 6.

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Q: Use the given graph of f(x)=√x to find a number & such that if x-4<8 then √x-2<0.4 2.4 -√x 2 1.6 ? 4…

A: We have to find the number δ.

Q: y' 1+x² x Y

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Q: Which of the following five series n+1 1 Σ nvn n=1

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Q: ? Question Draw the gradient f( − 1, 1), starting at ( − 1, 1), on the contour map of f(x, y) = xy.…

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Q: 3 M8 n=1 (Inn) 13/2

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Q: || True False

A: Topic:- limits

Q: TC Find the area of the region bounded by y = cos x, y = 1, and x = =

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Q: 2. A certain plutonium isotope decays at a rate proportional to the amount present. Approximately…

A: Let  at time t the amount of plutonium is  A(t)

Q: An object is moving with velocity (in ft/sec) v(t) = t² - 2t + 2. At t = 0, the object has a…

A: Topic = Integration