1) (hu) 07h =hx solve d ШF СП

Q: Let R be the region that is inside the polar curve r = 3 and outside the polar curve r = 2 + sin(0),…

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Q: Q6. Let w = f(r,0), r = √x' + y³, 0 = tan'(y/x), ), find aw ?х > and ди ду in terms of r and 0.

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Q: Find the general Solution of the following PDES • з Их + 2 Иу , u(x,c) = чех (3У-2х)12 ans3- исх, у)…

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Q: f(x, y) = = /25 - (x - 2)² - y²

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Q: Find the area of the region enclosed by the curves y = 4 24 8 16 O O x³ and y = 4x.

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Q: Find an equation of the tangent line to the curve at the given point. f(x) = 3x² – x³, (1, 2) -…

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Q: Compute the average value of the following function over the region R. π f(x,y) = cos x cos y…

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Q: The value of A.cos(x²+)+C cos (x² + + C fx sin (x²+3) de dx B. - cos (x² + 5) + C D. -cos (x²+)+C

A: Option (B)

Q: 5. Use Cartesian coordinates to evaluate ƒƒƒ v³² av where D is the tetrahedron in the first octant…

A: Given problem:-

Q: π ← r = 2 sin(0) ㅠ 1 → 0 2 r = 2 cos (0) π Determine the exact length of the perimeter of the region…

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Q: Given a second order differential equation dx 3t 2x = e³t dt where t = 0, x = -5. Using Laplace…

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

A: The given curves are y=x3 and y=x.   Now find the point of intersection between the given curves.…

Q: 5.) I. -2 -3 -6 2 Simplify. Write "undefined -4 6 0 +

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Q: Obtain the general solution of the given differential equation: tanydy = sin3xdx

A: The given differential equations tan2y dy=sin3x dx⇒sec2y-1 dy=143sinx-sin3x dx    As…

Q: 5. Determine the roots of y"" - 3y" - y' + 3y = 0 a. 1, 1, 3 b. 1-1, -3 c. 1, 1, -3 d. 1,-1, 3

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Q: Use Stokes' Theorem to find the circulation of F = 5y + 5zj+2ak around the triangle obtained by…

A: We have to find the circulation of F→.

Q: √ (2x - 7)6 12 (2x + 7)- 12 (2x - 7)5 + C + C (2x - 7)-6 12 (2x + 7)6 12 - + C - + C

A: Topic = Integration

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

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: II. Find the inverse of each matrix. 5 -11 1. -7 -9

A: This is a problem related to matrix. Based on the general formula and concept we will find out the…

Q: Evaluate: (4x²yz - ) dz dy dx

A: Let,    I  =∫23∫-14∫10 (4x2yz - z44) dz dy dx           I = ∫23∫-14[∫10 (4x2yz - z44) dz] dy dxI=…

Q: [*[f(x) + g(x)] a 6 -5 f -2 Y = 7 -3 7 x -6 9 -2 Y 10 5 3 5 2 x

A: We have to find the value of given integration.

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: Let F(x,y)=√√y-x, then answer the following ( (1) Find the function's domain (2) Find the function's…

A: According to our guidelines we can answer only one question or three subparts of a question.other…

Q: (5) If f(x) =........., then f(x) is reducible in Z5[x]. (i) x³ + 2x² + 2x + 1 (ii) x² + 1 (iii) x²…

A: This is a problem related to reducible and irreducible nature of the polynomial while in Z5[x].…

Q: 4. Evaluate the double integral: Y SZ (Hint: Change the order of integration to dy dx.) dx dy. +1…

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: Q1. The parametric equations of the lines L1, and L2 are given as: L: x=-2+1, y=3+2t, z=-t+4 L₂:…

A: Let's find distance between two lines.

Q: Evaluate the double integral: 2 JI ਸਰੰਜਨ y²) DA R where R is the unbounded region between 0 ≤ 0 ≤ 2π…

A: Let's evaluate double integral by converting into polar coordinates.

Q: 3 Evaluate: ₁ S 1²,₁ S² [(x²-x²)²] dx dy x+y

A: To evaluate the given double integral.∫-14∫03x2-y22x+y dx dy

Q: Find a differential equation that corresponds to the given direction field. Consider differential…

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Q: dy Exercise 1.7.7: Consider =yx², y(0) = 1. dx a) Use Runge-Kutta (see above) with step sizes h = 1…

A: Since you have asked to solve multiple questions. As per our guidelines we are supposed to answer…

Q: S f(x) dx = [ -6 -5 f -2 Y 7 3 -3 7 X

A: This above given expression of integral is shows integral value of function f(x) from x=3 to x=7.

Q: Use the table of integrals to evaluate the integral. 2 √2²47x²³ √4x²-x+ d² dx

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Q: Q3: A) Find the limits below x² + sin²y 1) lim (x,y) (0,0) 2x² + y² 2) lim (x, y)-(1,1) x² - 2xy +…

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Q: 1. Identify the surfaces of the following equations by converting them into equations in the…

A: To convert a point from Spherical coordinates to Cartesian coordinates, use equations  x=ρsin ϕcos…

Q: Let f : R 7−→ R be defined by f(x) = 2 − 5x. Show that f is bijective, and find f^(−1)(x).

A: Let f:R→R be defined by f(x) = 2 - 5x.

Q: 5. Find and classify (local max., min. or saddle point) all critical points for f(x,y) = x³ − y² +…

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Q: Find the area of the region enclosed by the curves y =

A: answer is in next  step

Q: Find the solution of the given initial value problem. y = ²7y= y' cos t t-7 Y(T) = 0, t> 0 y(t) =

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Q: 6. 8 2 2 dv 2 v - v V

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Q: 3. Find the volume of the solid formed by revolving the region formed by the curve y = secx about…

A: Explanation of the answer is as follows

Q: Solve the given differential equation. All solutions should be found. dyx³ 8y dx X NOTE: Use c for…

A: As we know that; The standard form of 1st linear order differential equation is: dydx+Pxy=Qx So, the…

Q: Find the volume of the region bounded above by the sphere x² + y² + z² = 2 and below by the parabo-…

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Q: 2.f(x,y) = y²x¹^ey.

A: 2. fx,y=y2x4ey Note:    In the question 1, variable for cosine function missing. Hence we answer…

Q: Q3: A) Find the limits below x² + sin²y 1) lim (x,y)-(0,0) 2x² + y² 2) (x, lim y)-(1,1) x+y x² - 2xy…

A: Concept: Here we have given multivariable limits  To find its limit first use direct substitution…

Q: Use the equation = Σ x" for |x| < 1 to expand the function in a power series with center c = 0. - Ex…

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Q: Water is flowing into a conical vessel 18cm deep and having a diameter of 10cm across the top. If…

A: We have to find the rate of volume.

Q: cln 3 In In 2 tanh xsech’x_dx

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Q: odules CALC 2 INTEGRAL CALCULUS ACTIVITY 1 Evaluate the following. Show your complete solution. 1. f…

A: The integration of the integrals are;  1)z5 2)y1/3 3)6/x4. Repost the next parts.

Q: Determine the roots of y"" - 3y" - y' + 3y = 0

A: The given differential equation is: y'''-3y''-y'+3y=0   So, we can also write as; D3-3D2-D+3y=0