Evaluate the double integral: S² SATI 1/3 x² +1 (Hint: Change the order of integration to dy dr.) dr dy. 4

Q: Q4: A) For each of the following ,find fx fy fax fy fyx and fry 2.f(x,y) = sin²(x-3y) 3.f(x,y)=√√(x…

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Q: Farklı yaklaşım doğrultuları kullanarak aşağıdaki fonksiyonların (x,y) (0, 0) için limitinin…

A: Find the limit for (x,y)=0,0   using different wayslim x,  y→0,  0x4-y2x4+y2

Q: 1. Find the Inverse Laplace Transforms of the following. 4) 48-60√s s4

A: A detailed solution is given below.

Q: Write out the first four terms of the Maclaurin series of f(x) if f(0) = -9, f'(0) = -9, f(x) = +...…

A: Topic = Series

Q: f) y = x²-1 x²+x-2

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Q: Evaluate the double integral: 2 So de dy. Sola 0 Jy¹/3 Y x7 +1 (Hint: Change the order of…

A: Application of integration

Q: an+1 Suppose that an ∞ Σ απ( – 81)" man n=1 →1 as n→ ∞o. Find the radius of convergence.

A: Explanation of the answer is as follows

Q: Use the Ratio Test to determine whether the series convergent or divergent. 00 n=1

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Q: Q1llenn Prove the following using the principle of mathematical induction. For n ≥ 1, 1 1 1 1 3/2 +…

A: Given; 1/52+1/54+...+1/52n=(1-1/25n)1/24.

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

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Q: Evaluate the line integral y dx + xy dy where C' is the rectangle with vertices (0,0), (5,0), (5,4),…

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Q: Which integral represents the area of R? Choose 1 answer: 5π 49 A sin² (40) de - 4 5TT 49 B sin²…

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Q: 1. J(√sinx+cosx) dx

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: (d) (sin(x + cos(2x + 3√)))'

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Q: • show that Ф (x, y, z) = 8²4 PDE: агф + дуг дуг х2 +у2 + Z2 8²4 872 satisfies the

A: First we find the respective partial derivative then add them to get value 0. see below the…

Q: a. Use implicit differentiation to find the derivative b. Find the slope of the curve at the given…

A: The given curve is sin2y =x. We have to find dydx using implicit differentiation. For  implicit…

Q: 3) Locate the bifurcation values for the one parameter family and draw phase lines for values of the…

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Q: Short Answer 11. Calculate X+W for X- 3) 2 and W- or explain why this operation

A: Given X=70-1423 and W=-4111-122To Find:  X+W

Q: F = cos(x) Î+sin(y) ĵ+cos(z) k

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Q: Obtain the general solution of the given differential equation: dy = cos²xcosydx

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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: The value of sin cos (x²+)+C C. cos (x²+)+C xp B. -cos (x²+)+C D. -cos (x²+)+C

A: Topic = Integration Correct option = B

Q: X = 2t-2 - y = ln(t³) Which integral gives the arc length of the curve over the interval from t = 2…

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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: 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: show that V(x,y) = x 'f (2x+y) is the general Solution of : x av dx 2x du 1 = V ay

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Q: Evaluate the double integral that will find the volume of a solid bounded by z = 1-2y² - 3x² and the…

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Q: Solve the given differential equation. All solutions should be found. (5y¹ + 2x³y) dx − (4xy³ + x¹)…

A: Using integrating factor make equation exact

Q: San 4h (x) dx = [ -3 y h 8 2 AN -3 10 4 -1/ -7 -7 7 x

A: From the graph, note that: ∫-30h(x) dx=-1 because area bounded by the curve h(x) is -1 in -3 to 0.

Q: adx + bxydy - ydx = -xyelny dy

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

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Q: Consider the differential equation y" - y' + 3y = f(t), such that y(0)=0 and y' (0) = -9 f(t) is…

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

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Q: ∞ ∞ dx 2 x² +9

A: Given :∫-∞∞dxx2+9

Q: Differentiate the function. g'(x) = g(x) = 2x² - 8x + 13 gx 8 2 X Read It Need Help? Master It

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Q: By direct partial integration, Solve the following PDES 8- 82u = COSX COSYSXUCX,t) Ex u(π, y) = 2…

A: Given ; del2u/delx del y=cosxcosy.

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: 13. Use integration by parts to evaluate [x rlnrdr.

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Q: cos(bx) sin(bx) dx

A: topic- indefinite integral

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: Using exact Solution, find the general solution of the following differential equation: (cos2y -…

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Q: 13 By direct partial integration, Solve the following PDES s. 8²u ахбу = CEX COSysXu(X,t) Ex UCH, y)…

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Q: let f(x)=x2 -9y  and  g(x)= √x. find the domain of (f o g)(x) and h(x)= 1 / (f o g)(x)

A: Let f(x)=x2 -9x and g(x)= √x. Now,        (f o g)(x)=fx                =x2-9x                =x-9x…

Q: II. Minor and Cofactor 1. Find the cofactor of 6 in matrix D 9 8 4 2 7 -9 4 D: 6 -3 (8 9 3 323 32 2)

A: In this question we have to find cofactor of 6.

Q: 3. The definition of Antiderivative states that A. A function (x) is called an antiderivative of the…

A: 3. The antiderivative of a function f(x) is a function whose derivative is equal to f(x).

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: swers: i i Mi 0 0 O

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Q: Use Cartesian coordinates to evaluate JJJ² dV D where D is the tetrahedron in the first octant…

A: Given integration is evaluated.

Q: Find the general solutions for these differential equations: a. 2y²dx + (x²y - 2xy)dy = 0 b. y' =…

A: Use differential equation concept

Q: Solve the given initial value problem. O x³y²y³ = -18 O x³y² + xy³ = -18 Oxy² + x³ = -18 O x¹y² + y²…

A: So,it is non exact differential equation.