a) b) Determine the equation of the line of intersection of planes 1 and 2. Express your answer in the form: [x, y, z) = [0,yo.zal+t[1,b,c), Find the point where the line crosses the xz-plane. π₁: 2x - 2y-z+1=0 1 π₂: x + 3y - 2z+3=0 @

Q: Prove that (X + Y) (X+Y) = X

A:

Q: Choose the correct solution the following differential equation * x²-x+1 y(1) = x 1 H|2 + Option 1 y…

A: I have given the answer in the next step. Hope you understand that

Q: findings lim sa Un- = n inge a sequential -241²³+50² +1 чиз 4₁²³-1² 2 f

A:

Q: af Q1: a) Use the chain rule to calculate for the function f(x, y, z) = 3x² - 3y + 4xz², x =…

A:

Q: Compute the Improper Integral by Using the Residue +00 1 x² +24+2dx 2X

A:

Q: Find the interval of convergence of the following power series. n3x"32 (n + 1)² n=1

A: Here we firstly find the radius of convergence then we check at boundry point then we get the…

Q: 5 Given A=-2 -2 01 -2 6 2 and X=X₂ [X3] 1 0 2 7J show that XTAX = 27, suggest that 5X +…

A: Given- Given A = 5-20-262027 and X = x1x2x3. To Show- Show that XTAX = 27, suggest that 5x12 + 6x22…

Q: If L {f(t)} = F(s) then L{eat f(t)} = F(s) (s-a) F (s) s-a F (s-a) F (s + a) خيار 2 الخيار رقم 1

A:

Q: Concept Check: Evaluate the following integrals: 1. f(x¹ - 5x³ + 6) dx 2. Sv (1-1/v²) dv 3.…

A:

Q: Specify if the infinite series converges or diverges and show solution \sum _{n=1}^{\infty…

A: We need to calculate limit of \frac{n!+6}{n!-2} as n goes to infinity. If it is non zero then series…

Q: The region in the first quadrant enclosed by the y-axis and the graphs of y=cos(x) and y=x is…

A:

Q: Task 1 A vibration signal was measured in a mechanical structure as f(t) = = 12cos (+). a)…

A:

Q: Evaluate the double integrals -x²-y² dxdy, D where D = {(x, y) | x² + y² ≤ 4, x ≥ 0, y ≥ 0}.

A: I have given the answer in the next step. Hope you understand that

Q: Radio stations in a certain country use a sequence of 4 or 5 letters as their station identification…

A: Given that their are 4 and 5  letters . And the ist letter is always X so according to given…

Q: Q1 find f'(x) using (forward finite difference formula ) at x = ½ for f(x) = sin x - e* with h= 0.1,…

A: Sol

Q: Prove the following assertions using a direct proof. d. If x is odd integer, and y is even integer,…

A:

Q: Q1A) The vectors A = 3i+j+ 4k, B = 2i - 3j-k, find vector normal to A and In plane of A and, B.…

A:

Q: Prove that |A U B| + |A n B| = |A| + |B|

A: Let A and B are two sets. A = number of elements in the set A. B = number of elements in the set B.…

Q: nd the Green's function of the boundary value problem   y"= f(x) y(0) = 0, y(1) = 0

A:

Q: In a standard normal distribution, P(-2.1 < Z< 1.9): a) 0.9713 b) 0.0179 c) 0.9892 d) 0.9534

A:

Q: Which of the following is correct for F (۲) ce (1) 0 s+) cety (1) - (۱)

A: We have to find the correct choice.

Q: what is the directional multiplication of therectors [3₁-1₁2] [ 4.2.1]

A: Follow the steps.

Q: III. Find the following: i) ii) iii) v) vi) Sets 1. Let U= the set of all nonnegative real numbers…

A: Let U = the set of all non negative real numbers less than 10 i.e., U = [0,10)  (Note that, as the…

Q: prove that 1 Ə div A; = {√g grk Ak} = div A¹, Əx* where A; and Ai are the covariant and…

A:

Q: (Q2) Prove directly from the definition that the following sequence converges. 8n²+(-5) n

A: Just take n^2 common from denominator and numerator and then apply limit we will get 8/5 and then we…

Q: For each problem below write an expression in the form ax + by + cz in the first blank, then choose…

A:

Q: The product -2(t - 3)(t+4) equals

A:

Q: • It is required to solve the Z • System of eduations using the 6 Cram & method. method01102 to • 3X…

A: We have to solve the given system of equations using the Cramer's method.

Q: (a)Let f(x, y) be defined on (a, b) x (c,d). (i)Give an example to show that existence of partial…

A:

Q: let a=2+7i b=4-2i Choose the correct result of a/b*

A:

Q: Find the characteristic polynomial, the eigenvalues and a basis of eigenvectors associated to each…

A:

Q: (a) Assume that f(x) is function defined by J - ² 4 f(x) = for 0≤x≤. (i)Expand the function f(x) in…

A: According to guidelines we can solve only one problem.

Q: STANIS 3, 4x+5 dx = 5.5. tdt (2+²-3j³/2₂ 6. Ss in ³2x cos2xdx

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: Concept Check 3 Evaluate the following integrals and simplify your answers. 1.5(4cscxcotx+2 sec²x)dx…

A:

Q: Be f(x, y) = 1+√16-y². a) Determine and sketch the domain of f; b) Determine the image of f;

A: For a function z=fx, y, the set of real values of x, y for which f(x, y) is defined is called the…

Q: C 0 t f(t)dt ƒ(s) S

A:

Q: Compute Euler's totient function (n) for n = 10000+1000m1 + 100m2 +10m3 + m4. m1 =3 m2=4 m3=2 m4=9…

A:

Q: Use the quotient law for tensors to show that the array -2xy -2xz /y²+z²-x² -2yx x²+z²-y² -2yz -2zx…

A:

Q: A line L, passes through the points A(0, -3, 1) and B(-2,5, 3). (a) (i) Show that AB= 8 6 2 (ii)…

A:

Q: 6.2 What is a differential equation, y depending on x, whose general solution is the function 21…

A: Explanation of the answer is as follows

Q: Prove that 10585 and 294409 are Carmichael numbers.

A: We have to prove that 10585 and 294409 are Carmichael numbers.

Q: recheck this problem

A: Yes , the solution is correct.

Q: 2] Evaluate the double integrals over the given region R. afferan alle R: 0≤x≤ In2, 0≤ys in 2 bll…

A:

Q: Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y"…

A: Given DE is  y"+9y=5t3 ..... (1) y(0)=y'(0)=0 ..... (2)

Q: Solve the system by substitution. If the system is inconsistent or has dependent equations, say so.…

A:

Q: (a) Perform Gram-Schmidt orthogonalization for the vectors a₁ = , a2 = (b) Find the QR decomposition…

A: Note: We are entitled to solve only one question at a time. As the specified one is not mentioned,…

Q: I + + ·2+/ + VAN + -3 -1 0 1 2 3 The graph of f is shown above. Approximate ³ f(x)dx using the…

A:

Q: 1)     Show that each of these conditional statements is a tautology by using truth tables and…

A: Since you have posted a multi subparts question according to guildlines I will solve first three…

Q: EXERCISE 4.2 The four corner points of a bilinear surface are Poo = (0, 0, 1), P10 = (1, 0, 0), Po1…

A:

Q: dy 5. 5-√√x² - y² + y = x/

A: