- 2.f(x,y) = y²x¹ey.

Q: 1. Solve the following Linear Systems of Equations by Gaussian Elimination: 2.) 3x + 3z = 0 2x +2y =…

A: On solving this we will get

Q: Solve the boundry-Valued PDE 24 = 4 24 = 484 ठेप ulo,д) =8 ёру using the genval method -12X-39 ans:…

A:

Q: Find the volume of the solid generated by revolving the region bounded by 2y = e-x², the x-axis and…

A: Given

Q: find the Fourier series of half rang periodic function. f(x) = x|x| -π < x < π <x<π

A: We know the following. Fourier series of function fx on interval -L≤ x≤ L is defined as:…

Q: Solve the given differential equation. All solutions should be found. dy e5x+11y = dx NOTE: Use c…

A:

Q: Q4/Find the slope of the line 3x-4y=-8 and then find the distance from the point P(3,-2) to this…

A: Given Equation of line3x-4y=-8To find slope &amp; Distance.

Q: Evaluate: 2[z³(x+y)³] dz dy dx

A:

Q: 2. The Substitution Method states that A. If F'(x) = f(x), then [ f(u(x))u' (x) dx = F(u(x)) + C B.…

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Q: A- Answer the following L-1 3s-1 s²+2s+5

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Q: 3 Find the area of the region bounded by 2x = y² +1 and the y-axis using the horizontal strip.

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Q: (x + 2)" Q4. Find the convergence interval and radius of the series : Σ (-1)**² n=l n

A: We need to find interval and radius of convergence.

Q: Find the area of the region bounded by the curves y= (x+8)2 y = 4 and the x-axis using vertical…

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Q: Find Fourier sine series of f(x) = 4x on - L≤ x ≤ L

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Q: Solve the general solution of the following linear differential equation: (y-cos²x) dx + cosxdy = 0

A: Given (y-cos2x)dx+cosxdy=0To find general solution:

Q: Evaluate: du [(x²-y²)²1 ³₁ 1² du dt x+y

A: Given , ∫-13∫02x2-y22x+ydudt

Q: Given f(x) = a-1 5xª−1(1 − x)b−¹,0 0. Evaluate ſ*x* f (x)dx. HINT: Express B (a,b) (¹ rk f(x) dx as…

A: Let's evaluate given  expression.

Q: Determine y = Yc+yp using Non-homogenous equations: Method of Undetermined Coefficients Given: y" +…

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Q: = Find the area of the region bounded by x = and the y-axis using the horizontal strip. 4 2y²+1

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Q: -2 Evaluate the integral: ² ft² n s teu du ds dt

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Q: Evaluate: ₂1+ 2y dy dx ₁¹

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Q: Let F(x,y)=ln(x² + y2), then answer the following (1) Find the function's domain (2) Find the…

A: This question is about finding domain &amp; range of a logarithm function.  Which we can find as

Q: The value of | Je A. -sin-¹ (ex) + C C. sin-¹ (e) + C dx 2x B.-sin-1 (e-2x) + C D. sin-¹ (e-2x) + C

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Q: 5x 3 Evaluate: fffdz dy dx 2

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Q: Evaluate: £²³₂ £²₁ ₁²[z³(x + y)³] dz dy dx

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Q: identify any extrema of the function by recognizing its given form or its form after completing the…

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Q: (x²-y²)²1 Evaluate: ₁²² du du dt x+y

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Q: Evaluate: ₁³(x + y)³] dz dy dx S²³₁

A: A detailed solution is given below.

Q: Which of the following functions will be continuous on (0, 3)? O A. g(x) = 7√2² - 16 OB. 6 f(x)…

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Q: Evaluate: ³₁₂₁(4x²y — z³) dz dy dx

A: The given integral is  ∫-13 ∫-24 ∫10 4x2y-z3dz dy dx

Q: Evaluate the integral: 2 So sin(4t - u) du dt

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Q: 5x -3 2 Evaluate: f fx fdz dy dx 3x 2

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: Q2. Use Lagrange Multiplier to find the point on the circle: x² + y² = 45 that are closest farthest…

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Q: ع لح ل(۸ + ")APNPLPLg للع(۸

A:

Q: Which of the following functions will be continuous on (0, 3)? OA. h() = 12 8² + 6| OB. g() = 7/2-16…

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Q: Which of the following is true about the function a(x) = 21² +1-6 #-+-2 O A. a(z) has an infinite…

A:

Q: 5x 2 Evaluate: ²3x²dz dy dx 2

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Consider the parametric curve: X y = ln(-t) Which integral gives the arc length of the curve over…

A: We have to find the length of curve.

Q: 7. A nutrition company produces and sells natural powdered supplements. The price-demand and cost…

A:

Q: Which integral gives the arc length of the curve over the interval from t = a to t = b?

A: This is a problem related to integration. Based on the general formula of length of arc we will…

Q: -3 (x² - y²)²] Evaluate: ₁²² x+y du dt

A: Given

Q: 5x 3 2 Evaluate: ffxf²dz dy dx 2

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: S- tanh e cosh(z) – sinh(z) -dz

A: Let's evaluate given integral.

Q: Evaluate: ₂(4x²y - z³) dz dy dx

A:

Q: Which of the following true about the function a(x) = 21² +1-6 T-+-2 O A. a(z) has an infinite…

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Q: t = b? Choose 1 answer: b Ⓒ / ° v A a © B Ⓒ a b cb a a b e20t+t6 dt e10t+t³ dt 10e10t+ 3t² dt…

A: Topic = Integration

Q: Find the solution of the given initial value problem. ty+3y=t²t+5, y(1) = 2, t> 0 11

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Q: Find the area of the region bounded by 2x and the y-axis using the horizontal strip. 3 y² +1

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Q: (2) Z/(5) =........ (i) (5) (ii) 5Z (iii) {[0],[1],[2],[3],[4]}

A: We have to find out integer

Q: Find the area of the region bounded by the curves y = 1 (x+6)²¹ y = 4 and the x-axis using vertical…

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Q: So So t² etu du dt

A: Given, ∫03∫0tt2etududt