Determine the coeffcient of x31 + x32 + x23+ x64 if (x1 + x2 + x3 + x4)^14 is expanded.

Q: Each face on Mount Rushmore is about 60 feet high if look up at an angle of 5° to the top of one of…

A: To find how far from the base are you?

Q: Solve av/R – r?dy = (a²y³x+ yV – x²) dx

A: This is a Bernoulli’s Equation. , We need to convert it into standard form and then by substitution…

Q: dy dz x2 +

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Q: Derive the differentiat equation From the following relationship elimin atihg the oPional constants…

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Q: In a particular very small region, the consumer price index, C, depends on the current value of…

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Q: 4. Evaluate sin (44°) + + COS (29°) using differentials. Refer to special triangles.

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Q: In an arithmetic sequence, a, = -3 and d = -5. What is a4?

A: The nth term of an arithmetic sequence is an=a+n-1d Here,  a= first termd= common difference Now,…

Q: I.Let n E N and the functions: fn : [0, 1] → R, fn(x) = So dt 1+t a. Show that for every x E [0, 1],…

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Q: Each face on Mount Rushmore is about 60 feet high if look up at an angle of 5° to the top of one of…

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Q: Solve dy = x [4+ 3x sin (ay) cos (ay)]

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Q: 3) Use the basic definition of a Cartesian tensor to show the following: (a) That for any general,…

A: Solution : Consider a rotation of the (unprimed) coordinate axes through an angle θ to give the new…

Q: I cannot understand teh solution presented due to missing symbols and operations. Thanks

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Q: How may inscribed angles are there in the figure? A B 5 3 1 2 4

A: We have to answer following Questions.

Q: How may inscribes angles can we generate from the figure? D 77° 75° 58° A B 4 2 8 10 6 12

A: The inscribed angle is the angle that is formed when two chords intersect each other at the…

Q: use an integrating factor to solve the given differential equation. dy 5x 4y = Ce - dx

A: Use the mentioned method.

Q: UseThe Culerwe method's Sove the: dy %3D xCi+メ)。 y(0)=3,h=0.2

A: This is a problem of Numerical Analysis.

Q: Given that f (x, y) = sin Enter a 10 significant figure approximation to the partial derivative a10…

A: When the partial differentiation is done with respect to a specific variable, then all other…

Q: 3. Let V = 6xy?z³ + 5 In(x² + y? + 3z²)V in free space. Evaluate each of the following quantities at…

A: Note: according to our guidelines we can answer only first three subparts

Q: Considering the following Linear equation set: 2x1 + 6x2 + 15x3 = -12 %3D 4x + 7x2 + 13.x3 = -10 3x1…

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Q: Calculate x in degrees. [22 8X +5° 3X + 8°

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Q: 5. Find an orthogonal or unitary diagonalizing matrix for each of the following: 1 1 1 1 3+i (а) 3 –…

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Q: - 36y = 44 sin(21) rs, we have -6t

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Q: S 23x26 ++ : x-16 dx X-4

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Q: For numbers 8- 10, Consider the hyperbola with its equation x =y² + 9 22. What is the center of the…

A: We Know that  Standard Forms of the Equation of a Hyperbola with Center (h, k) is…

Q: À region is enclosed by the equations below and contains the point (2,8). y = 8 sin y = 8(z- 2), y =…

A: given curves y=8sinπx2 , y=8x-22and y=7x+1 (a) find the volume of the solid obtained by rotating the…

Q: The hyperbola with asymptotes having the equations y -x and y--x and one verlex at (2, 0) has the…

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Q: Ofind an upPer bound for the reciprocaL of the modulus of ż"-52+6 if 121=2 2Itint: z" -52²+6= (2?…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: The bus is late or my watch is fast.

A: Solution

Q: b. Give examples square matrix, diagonal matrix and scalar matrix. c. Solve the following equation…

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Q: dz dz and an Draw a dependency diagram and write a chain rule formula for given the functions below.…

A: We will use the concept of chain rule of differentiation of Multivariable function and formation of…

Q: 4. Let -81 | A = 1 (a) Factor A into a product PDP-1, where D is diagonal. (b) Compute e4.

A: We can solve this using diagonalisation

Q: ди(х,у) а) ди(х,у) = 0 ду ди(х,у) ди(х,у) b) ax - и (х, у) ду

A: (a) We have given a partial differential equation ,  ∂u(x,y)∂x - ∂u(x,y)∂y = 0 We will use…

Q: Consider the function g defined by g(x, y) = sin (T /Ty) + log3 (x – 3y) Do as indicated. 1.…

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Q: 4. Solve the following 2"d order ODES(5 steps)

A: First we will put y' = t and then after rearrangement we will use the formulae yn+1 = yn + h f(xn ,…

Q: The linear second-order differential equation (1 — х?)у" — 2ху' + п(п + 1)у %3D 0 where n is a fixed…

A: Given that The linear second-order differential equation as: 1-x2y"-2xy'+nn+1y=0              1 (a)…

Q: 1. Solve for x(t) and y(). given that x(0)=4 and y(0)=3 da + x + 4y = 10; x dt dy - y = 0 dt What is…

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Q: nKen puzzle

A: 1). Given,

Q: of a space X and let x e X. Then x e A iff there exists a net in A (that is a net whi to x in X.

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Q: The length of the latus rectum of the ellipse defined by 25x? + 9y? - 300x - 144 y + 1251 -0 3.0 3.2…

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Q: A manufacturer of refrigerators must ship at least 100 refrigerators to its two warehouses. Each…

A: Solution :-

Q: Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the…

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Q: Derive the differentiat equation From the following relationship by 9 eliminating the OPtional…

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Q: 3. The figure below shows twelve toothpicks arranged to form three squares. How can you form five…

A: Given:   the figure shows (in question) twelve toothpicks arranged to form three squares.

Q: To find a particular solution for y"-36y = 44 sin(21) %3! with the method of variation of…

A: The given problem is to find the conditions required for the differential equation to find the…

Q: Problem 1. Solve the differential equation by power series about the ordinary point r = 1: "+ ry…

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Q: The ratio of the major axis to the minor axis of the ellipse 9x2 + 4y2 – 24 y – 72x – 144 = 0 is O…

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Q: Given f(x) = |x| for x € [-n,1]| Show that cos(2n – 1)x |x| 2 \xl = -- - (2n – 1)2 n=1 2.

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Q: Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the…

A: We can solve this using diagonalisation     Hence a) ellipse b) X2p + Y2p = 36

Q: („*.) (* ) =(). 2n 2n 2n + 2 (c) Verify that + n +1 n + 1

A: According to the guidelines we are supposed to do one problem

Q: 6. * dx

A: