Determine the equation of the normal line to the surface In (x + y) = Z 2 at the point (-1,2,0)

Q: integral F. dÃ. Compute each flux (a) F(x,y, z) = (2, 3, –5) and S is a disk of radius 1 in the…

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Q: 2. For each statement, Determine if it is True. If it is true then prove it. If it is False then…

A: We will use the basic knowledge of arithmetic, number theory, and set theory to answer all the six…

Q: Solve 3 (x? + y?) dæ + æ (x² + 3y² + 6y) dy = 0 ; when x = 1, y = 0

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Q: if it exact find the general solution of the given equation

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Q: on of the matrix A which comespond to the eigenvalues i, = -1, d = 1, and å, = 2, respectively, and…

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Q: Acruise ship maintains a spoed of 20 knots (nautical miles per hour) saling from San Juan to…

A: given Speed S=20 knots distance d=600 nautical units time t=14 hours

Q: A liquid vessel which is initially empty is in the form of an inverted regular hexagonal pyramid…

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Q: Question 4 Consider the telegraph equation Pu du - 2a - au, dt subject to the initial conditions…

A: Please check the initial conditions and last answer u(x,t). There is some mistake

Q: 2. Find the Fourier series expansion of: So, f(r) = sin zr, 0<r< 1 and then use it to find the…

A: Fourier series of the discontinuous function

Q: Can you please explain why you multiplied by 2! in the denominator in step 2? How does that 2! get…

A: Let A be a set of n elements. To select r objects from a collection of n elements in the set A…

Q: Find the of(x, y.z)dV A. Q = ((x, y, 2)l(x+y +z =4 and z = x² + y', f(x,y2) =x+y} B. Q= {(x, y, 2)(x…

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Q: S. A wealthy businessman wants to start a research directed toward sustainability. amounts of money…

A: Given: Number of years, rate of interest, and the amount withdrawn yearly. To find : How much money…

Q: = Cos(x)+ sin (x)

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Q: VOLUME OF SOLID REVOLUTION Answer the following 1) y=x alaout x= -1

A: Given curves are  y=x2, x=y2 about x=-1.

Q: ii) 2yt'dy + 3y°®dt = 0

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Q: Evaluate the following integral in cylindrical coordinates. 5 342/29-x² -x2 -y dy dx dz 5 3/2 /2…

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Q: 9. Determine whether the given integral is convergent or divergent: S z dx? (4-x)5 1. a. convergent…

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Q: The scatter plot shows the number of hours worked and money spent on entertainment by each of 25…

A: Note: As Correlation is a statistical measure that describes the size and direction of a…

Q: Find the result of this indefinite integral of p’dp In (1 - e ) (1- ар)" -V In z = -BE If we know…

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Q: MS,-76, MS- 22, n- 10, df- 27, X- 30, and a- 0.05, what is the confidence interval? 27.47 SHS 32.53…

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Q: Problem (i) Consider the normalized vector v in R3 and the permutation matrix P, respectively (). 0…

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Q: Homework 1. Determine all the accumulation and boundary points of the following sets in (R,1. ): (b)…

A: As per the policy, we are solving only 3 parts of this question. Please repost the question and…

Q: Show your step-by-step solution tabulated solution (similar to the example). Round off computed…

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Q: Answer the following. Show the solution. 2 -2 -4 A = |-2 1 4 51 1. Eigenvalues of matrix A. 2.…

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Q: Throughout this question, take care to explain your reasoning carefully. You should round your…

A: a) A circular area lies inside the range of a 4G mobile tower. As a result, the area covered by a 4G…

Q: Permutation and Combination Show Solution 1. Given a 16-bit string how many strings are there when…

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Q: 2. Find the Fourier series expansion of: fo, f(x)= sin zr, 0<rS 1 and then use it to find the values…

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Q: Find L{f(t)} of the following functions. Note: a, b, e, k and n are constants. (t+1 ,0<t <1 1. f(t)…

A: Laplace transferom of the function, using definition of the Laplace transferom

Q: 25.2 Solve the following problem over the interval from x 0 to 1 using a step size of 0.25 where…

A: (d) given curve  dydt=1+4ty claim- solve the following problem over the interval from x=0 to 1 using…

Q: Q6) Find least square solution of Ax=b where A=| 2 3 -3,b=|1| by constructing the normal -1 [2]…

A: Given: Ax=b A=-122-3-13b=412

Q: y" + 2y' + 2y = 0 y(0) = -1,y'(0) = 2 and y is a function of time t

A: We will use laplace transformation and inverse laplace transformation to solve given differential…

Q: Q3) Let W=span{v1,V2,...,Vp}, and let x is orthogonal to each v,,for 1<j<p. Prove or give a counter…

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Q: A circle has a perimeter of 36 cm and a sector of arc of length 12 cm. Compute the area of the…

A: We have to solve given problems:

Q: 5. (8³z/ôx³)2 - (5²z/ây?)5 - 15ôz/ôt (50²z/ôy?)5 - 15ôz/ôt = 0 %3D

A: We can solve this by using definition of ordinary Differential Equation and partial differential…

Q: Let A be the point with coordinates (6, 3, 3) and let B be the point with coordinates (5, 3, 4). Let…

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Q: Using the matrix notation, write the system of linear equations: 2x1 - X4 5x1 + x2 X3 1 -x + 4x3 +…

A: Given, System of linear equations: 2x1 -x4 =-1 5x1 +x2 =1 x3 =1 -x1 +4x3 +x4 =0 we can write it as…

Q: 1. (a.) Name the given quadric surface and give its axis. (b.) Sketch the surface. (c.) Name its…

A: Given equation is 225x2+100y2+36z2=900. (a) To identify: The name of the curve, and its axis. (b) To…

Q: Question 6 Consider the endomorphisms deifnined on p 3 by Tx,y,z) = (7x+2y+z, 3y-z, -3x+ 4y-2z):…

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Q: fined the genral solution 8) (D; + D,)'u = 0 %3D

A: We have to find the general solution of the given partial differential equation ;…

Q: Find the maximum opproximate error in the volune of right cirwlar due to possible cone errore of /6…

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Q: 4 0.5t f (t)=-3t*e05t +3.8t²e²

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Q: Question 4. Define the power series * 2k+1 2k +1 r2k+1 T(1):= L (2k + 1)² S(1) := k-0 (a) Show that…

A: We will use the basic knowledge of real-valued functions, series, and integral calculus to answer…

Q: USE THE FOLLOWING INFORMATION TO ANSWER QUESTIONS 12, 13 AND 14 ONLY: The equation of a periodic…

A: As per the policy, we are allowed to answer only one question at a time. So, I am answering the…

Q: 5-12 Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x…

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Q: 2. In each of the following, find fyzz, fæyæ, fryz. 2. f(x, y, z) = ln(xyz) + z² tan-'(e=")

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Q: Find the approximate root of the function f (x) = cos(4x) – x² sin x , xo = 7 using Newton- Raphson…

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Q: Mr Dela Cruz deposited ₱18,980.00 from the project you’ve earned in a time deposit account with your…

A: We know, from compound interest formula  A = P(1+r)t Where P = principal             r= rate of…

Q: Please show a manual step-by-step solution for the problem so that I can learn how to do it. Thank…

A: Given integral isI=∫01.2e1.2xcosx1+0.5x2dxThe integral estimate of the function from x=0 to…

Q: Let a and b be positive integers such that ax + by = 7 for some integers x and y. Then %3D

A: We have to choose  current answer of given statement.

Q: How did we get 0 224 and 112 on the last step of the inverse method

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