O find othonormal bases: O x-2y-32 =0 W x+y+ 27=0

Q: Evaluate the integral 1 x3 dx. 1+ x2 0.

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Q: Find the points on the curve of intersection of the ellipsoid x²+4y²+4z²=4 and the plane x-4y-z=0…

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Q: Air conditioning is turned off in an empty building. Initially, at 6PM, it has an interior…

A: We will use newtons law of cooling /  .According to newton's law of cooling '' temperature  of a…

Q: 8) 112 km 9)

A: 8. The pyramid has three congruent triangular faces as the lateral surface and one triangular base.

Q: O O o O C оооо о ооо о о O o o o o o o o o § Given sec t 17/8 and angle t is in quadrant IV, match…

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Q: Determine the optimal solution of the following LP model:

A: Given,     Minimize(z)=4x1+x2Subject to              3x1+x2=3           4x1+3x2=6…

Q: When z = f(x,y), which of the following is true for the whole statement? %3D

A: We have given function z=f(x,y). We need to check which of the conditions are true for the given…

Q: b) Solve the following inequality in the complex variable z: Re ((z – 1)(z – 2i)) > Re(z – 1) · Re(z…

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Q: 1 n+n cos? n n-1 IM:

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Q: Referring to the graph above, which of the following statements is correct: O A.f"(x) changes sign…

A: Solution

Q: 8:3 18. Coeficient of correlation between two points. From the followiag given sets of observations…

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Q: Solve: (24x y- 15x y + 10 sin a cosa cosy) da + (40 y - 12 y-5 sin² a sin y) dy = 0 O 8a* y-3a y-5…

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Q: 39. If the scale factor of two similar solids is 5:13, what is the ratio of their corresponding…

A: We use properties of similar solids.

Q: Example 10.17. Apply Runge-Kutta method to find approximate value of y for x= 0.2, in steps of 0.1,…

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Q: Example 10.29. Find the value of y(1.1) and y(1.2) from y" + y"y' = x°; y(1) = 1, y(1) =1, using…

A: Here we need to use the Taylor series to solve the given problem.

Q: 2. Use a Taylor polynomial to show that, for large wavelengths, Planck's Law gives approxi- mately…

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Q: H.w: Find the LT of the following functions: 1- f (t) = t sin²at 2- L[[, e2t cos 5t dt]|

A: We have to find the Laplace transform for the given functions.

Q: Example 11.11. Find the values of ulx, t) satisfying the parabolic equation :4 at and the boundary…

A: Here we need to find the values of u(x,t).

Q: 4. Write the following statement symbolically and then prove it: For all real mimbers a and b, if 0…

A: Here given statement, "for all real numbers a, b with 0≤a<b then a2<b2." Symbolically, it can…

Q: You decide to Contribute to amutuof fund that loutrifide. 4.6%. returm pen year. q you averinger…

A: Solution:   Part (a) P = Quarterly contribution = $425 n = 10 years*4 = 40 Quarters r = Quarterly…

Q: FIGURE P1-8 80 a b FIGURE P1-9 Determine angles a, b, and c (Figure P1-9).

A: Vertically opposite angles are equal. Now, in the given figure 80° and angle a are vertically…

Q: Determinant of 2 x 2 Matrices. Solve for the determinant of the following matrices: -3 1. A = 4 6. 4…

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Q: Solve the given initial value problem. 7 2 x'(t) = x(t), x(0) = 27 x(t) =

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Q: Q2: Use the Gauss-Seidel method to obtain the solution of the system (Two Iteration) 3x1 - 0.1x2 -…

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Q: # 4 Assume that the solid has constant density k. Find the moment of inertia about the z-axis of the…

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Q: 2.) The graphs of f, g, and h and are shown. Explain why the seriess (x) = -1+0.3x – 0.1x +0.08x +…

A: Given- The graphs of f, g, and h are shown. To find- Explain why the series sx = -1 + 0.3x - 0.1x2 +…

Q: Consider the doute precision foating pont machine number 407 0Ce, writen in hexadecimal, where thex…

A: Given hexadecimal number is  4078xxxxxxxx2DC6

Q: 2. Using left side of the divergence theorem, find the total charge enclosed in the rectangular…

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Q: |Example 10.27. Find an approximate series solution of the simultaneous equations dx/dt = xy + 2t,…

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Q: Use variation of parameters to find the general solution of y" – 2y' + 5y = e'.

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Q: -2 when -π<x<0 f(x) = (2 when 0<x<π %3D

A: This is a problem of Fourier series.

Q: Determinant of 2 x 2 Matrices. Solve for the determinant of the following matrices: 7 -3 1. A = 4 6.…

A: Solution :-

Q: Example 10.32. Applying Euler's method to the differential equation dyldx = f(x, y), y(x = y,…

A: Please find step by step solution below:

Q: Consider f(x)= 5.6x⁵-6.5x³+8.2x-7.4. Using the given function, calculate the Rm by making use of the…

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Q: 5. Write the following statements symbolically and then demonstrate whether they are true or false.…

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Q: / Does the following equation satisfied Cauchy-Riemann's equation. (w=z

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Q: Given the function, (x) = 1+ x : A. Find the relative maximum and relative minimum points for the…

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Q: Q2/Find the basic solution for the following (T.M) by using (least cost method), then find the…

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Q: The position xft) of an object of mass m that is attached to a vertical spring with restitution…

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Q: 10 (2). Let f be a function that admits continuous second partial derivatives such that Vf (x, y) =…

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Q: A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector…

A: Given data net velocity (v) V=x-y, z+y+9, z2 net equation  y=1-x2-z2   , y≥0 find  ∫∫sv.ds= ? in…

Q: The graph of f(x) is given below and F(z) = | f(t) dt. 6 -2 -4 Find F(4). a) O 12 b) 06 c) O d) O 2…

A: Solution

Q: some triangular domain in the xy-plane with area equal to 9. S is the triangular area that is cut…

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Q: Example 10.28. Solve the differential equations dy = 1+ xz, dx dz - xy for x 0.3, dx using fourth…

A: we need to use runge-kuta fourth order method.

Q: Let E be the solid that is enclosed inside the cylinder of equation x +y xy-plane and under the…

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Q: -1 if -2<x<-1 (a) Find the Fourier series of f(x)={ x if -1<x<1 , and f(x+4)= f(x) 1 if 1<x<2

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Q: Sophia factored 81y® as (9y³)(9y²). Ahmed factored 81y as (3y®)(27y). Which of them factored 81y…

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Q: A rectangular package to be sent by a postal service can have a maximum combined length and girth…

A: To find the maximum of Volume we use dV/dx=0

Q: Find the Taylor polynomials p1, .. P4 centered at a = 0 for f(x) = 3 cos (6x).

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Q: Q3: Find the first derivative at x =2 for the funct 1.0 1.5 Y. 0.4057 0.

A: We have to find the first derivative at x=2.