Find dy for the following functions (メ+リ)+(メーツ)ニxャガ 4.

Q: A window is in the shape of a rectangle surrounded by a semicircle. If the perimeter of the window…

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Q: an = In(n+1) – In(n) for n EN determine if the following is convergent or divergent { { an } n=1

A: If an=lnn+1-lnn for n∈N,then to determine whether the sequence, ann=1∞ is convergent or divergent.

Q: Sllerch the graph of the 18r=4sine given polacequations

A: Given

Q: Find fy (x,y) if f(x.y) = (x° +y®)* fxy (X.y) = %3D

A: Topic = Derivative

Q: Find the equation of the tangent line for x=t^3+1, y=t^2-t at t=1

A: x=t3+1  y=t2-t To be found - Tangent line equation at t=1

Q: Find the inverse of the given matrix, if it exists. Use the algorithm for finding A1 by row reducing…

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Q: 2 Vy x+j Q3) Evaluate triple integral S dz dx dy х-у

A: We can solve this as follows:

Q: You are building a replacement trough for the company that built the faulty trough in the last…

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

Q: 3-x QI) Evaluate the integral S* dy dx using polar coordinate

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Q: **....... A rectangular parking lot with a perimeter of 440 feet is to have an area of at least 7000…

A: we have to find length range for the given rectangle.

Q: Identify if the following series is convergent or divergent: 00 (-1)"3n² 4n2–1 n=1

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Q: Solve for "z" 7x + 3y + 8z = 10 -8x + 1y - 5z = 18 1x - 8y + 2z = 16 Round answer to 2 decimal…

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Q: Find the volume of the given solid over the indicated region of integration. f(x.y)%3D4X+5y+7;…

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Q: Osyt . yrosx

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Q: Given the following heat equation and the boundary and initial conditions, и, 3 би,и, и(0,1) 3…

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Q: Which of the following is the general solution of the separable equation, dy/dx = 12x³y? A. y =…

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Q: 24. y' + y = -x/y

A: We have to find the solution of the given differential equation.   According to our guidelines we…

Q: Q2) Solve the D.E xdy + (2y – x* + 3x)dx = 0 %3D

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Q: Q2) Solve the D.E dy + (xy – xy²)dx = 0

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

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Q: 1. Evaluate the integral. -1 (6х — 12) dx

A: To evaluate the given integral.∫3-16x-12 dx

Q: (-3)"(x – 2)" Consider the power series Vn+2 Use Alternating Series Test to show that the series…

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

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Q: хах can be solved by either algebraic subsitution or integrataion by parts. x-1 (A) True B) False

A: To determine whether the given statement is True or False.∫x dxx-1 can be solved by either algebraic…

Q: g(t) = e-º. (a) Find the Maclaurin series for g(t), stating your answer using sigma notation. (b)…

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Q: The concentration of a drug t hours after being injected is given by C(t)=0.8t / t^2+68. Find the…

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

Q: Q2) Solve the D.E xdy + (2y – x* + 3x)dx = 0

A: First convert it in standard form then find intigrating factor and then solve..

Q: In Sx>Vx?-625 625 dx , if we let x = 25sece, then dx = 25secede. (A True B) False

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Q: Find the solution of the corresponding inhomogeneous system of equations: z+y+ 2z = 8 z+ 2y + 2z 2z…

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Q: Use tabular method to evaluate ſ –2x³e¬5* dx -5x 1.

A: Let's find.

Q: E. Consider two functions f and g on [0, 7] such that I f(x) dr = 9, g(x) dr = 6, (2) dr = = 4, |…

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Q: (-1)" V2n2 + 5 n er series (x + 1)" n=1

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Q: Write the following complex numbers in the form a+ib: 5 e7 1/4 = + i 2 el7 x/6 + i 7 e'5 z/3 + i 4…

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Q: Compute f'(a) using f'(a) = lim f(a + h) – f(@) or f'(a) = lim Tx) – J(d) for f(x) = 15x³, a = 2. or…

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Q: Write each complex number in complex polar notation: 21) - 4.053 +2.042.

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Q: an = In(n+1) – In(n) for n EN determine if the following is convergent or divergent { an } n=1

A: Solving

Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r = 2 cos (- 0) in…

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Q: Find the Taylor series generated by f at x a. 1 f(x) = , a= 1 x2 Choose the correct answer for the…

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Q: Solue D.E dy + (y cotx Sina) de = o

A: Solving

Q: Find f(100)(x) if f(r) = (x + 2)100. a. 0 c. 100! = 100 x 99 x 98 x 97 x ... x 2 x 1 b. 100 d.…

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Q: What is the shortest distance from the point (4,0, 5) to the sphere (x – 1)2 + (y + 2)2 + z² = 36?…

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Q: 4-x Q3) Evaluate triple integral , S S* dz dx dy.

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Q: JVVy+1-2 dy can be evaluated conveniently if we let x =VVy+1 - 2 and dy = 4x(x² +2)dx. (A True B)…

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Q: (x+y)dx-dy = 0 xy The equation O Linear O Homogeneous O Separable 1st order ODE O Bernoulli O Exact

A: We want to find the correct option.

Q: Consider the function f(x, y): 5xy 2x2 + y? (a) State the domain of f(x, y). (b) Find the limit 5xy…

A: f(x, y)=5xy2x2+y2A)Domain f(x, y)The function is defined everywhere.Domain: (x, y) ∈ (R×R)

Q: 22n Σ (2л — 1)". - Vn² + 1 3 n=1 Use limit comparison test to show that the given power series is…

A: Solving

Q: x+y Q3) Evaluate triple integral S dz dx dy. x-y

A: To evaluate the triple integral ∫02∫0y∫x-yx+ydz dx dy.

Q: 1 sin? (0)d0 2

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Q: CoS cos³ 0 5./ d0 1-sin0

A: Given problem:- ∫cos3(θ)/(1-sin(θ)) dθ

Q: V9 – 4x2 Evaluate: A f (x) = V9 – 4x2 + 2 sin () + C V9 – 4x2 – 2x sin- () + C B 6/ | | f (x) = f…

A: For the solution follow the next step.