8. Show that the following functions are orthogonal on interval from – o
Q: Determine the scalar components R, and Ry of the force R along the nonrectangular axes a and b. Also…
A:
Q: Find the gradient of [F(x,y) = xy+2y] * O y i + (x+2) k O yj+ (x+2) k O yi+ (x+2) j
A:
Q: 5. (a) Evaluate the line integral % 2 dic + dy+yz along the curve C(t) = [t², t³, t²], ɩ € [0, 1].
A:
Q: prove that [L2,Lz]=0
A: L^2 is an operator that represents the square of angular momentumIt is equivalent toL^2 = L^x2 +…
Q: 1.3 Give the function f(x,y,z) = 3x? – 2xyz +y² – 10z. Find -at the point (2,1,1). дхду 1.4 Find a…
A: 1.3 Given, fx,y,z=3x2-2xyz+12y2-10z then, differentiating f with respect to y…
Q: Q2: Show that (A, Ay, A) are related to (Ap, A,Az) using the following matrix: cos o -sin o 0 Ao A…
A: Ques: SHOW THAT
Q: [ 2- j4 YBus -1+ j3 |-1+ j3 3.6 – j10 -1+j3| pu -1+ j3 -2 + j3] V, = 1.0122° V2 P + jQ1 0.2 – j0.3…
A: Given a) With the complex power on buses 2 and 3 as shown in the figure. determine thevalues for V2…
Q: 1- Find the gradients of the following functions: (a) T =r ( cos0 + sin0 cosØ ). (b) F = e" sin(y)…
A: a)
Q: Find the derivative of the function. y = e9x cos(x)
A:
Q: Find the sum of the following four vectors ((a) and (b) for x and y components respectively), and as…
A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…
Q: Q2: Calculate the divergence of the following vector function: vc = y?x + (2xy + z2)ŷ + 2yz2
A: The divergence of the following vector function is calculated in following steps :…
Q: Given the function D= 3x²y - y³z², find the gradient VQ. b. a. 6xyî+ (3x² - 3y²z²)ĵ- 2y³zk…
A: Given, Φ = 3x2y - y3z2
Q: Find the centroid of the region bounded by the graphs of the functions 1 π y = 5 sin(x), y = x, and…
A:
Q: Determine the scalar components R, and R₂ of the force R along the nonrectangular axes a and b. Also…
A: Given that, R = 760 N Angle, θ = 110° and Φ = 27° Another angle, q = 180° - (110° + 27°) => q =…
Q: What are the indices (Miller indices) of a plane whose intercepts with three axes are 2,4,2,…
A: The given intercepts are 2,4,2.
Q: 14. 2 22
A:
Q: Determine whether the statement is true or false. If f is differentiable, then O True O False √f(x)…
A:
Q: Find the sum of the following four vectors ((a) and (b) for x and y components respectively), and as…
A: Given: The four vectors are, P→: 16.0 m, at 16.0̊ counterclockwise from +x Q→: 7.00 m, at 6.80̊…
Q: 47. Write as a single integral in the form f(x) dx: f(x) dx + f(x) dx f(x) dx
A:
Q: 4-7. Suppose that f(x)=1.5x² for –l-0.5) (b) P(0.5<X) (d) P(X<-2) (f) x such that P(x< X)=0.05.
A: Answer (d) :-
Q: 2) Transform A=y“ ax +xzay +4a- from Cartesian to spherical system. Then evaluate vector A at point…
A: See attached picture
Q: 22, if a = 1 , otherwise 2. %3D Let f : R Rwith f(x) Which one of the following statements is true?…
A:
Q: Lets consider the function |Y > il@1 > -3i|P2) Where (P; I 9;) = dij %3D Calculate the scalar value…
A: Given that- Iψ≥iIϕ1>-3iIϕ2> ---------[1] Taking its complex conjugate- <ψI…
Q: describe Y as a function of X
A:
Q: Evaluate the integral from -∞ to ∞ of the expression exp ip²t 2mħ 4ah² + ipad + fact that the…
A:
Q: Suppose that you have two vectors (1,0,0, 1) (2,0,0, 2) at What is a"b,?
A: Given that aμ=(1,0,0,1) and bμ=(2,0,0,2) we have to find the value of aμbμ
Q: 15. ez
A:
Q: curl
A:
Q: Given Q> Find: 2 |Q|² $ 3 0> 4 1> Find: , and
A:
Q: P-1 Show the given set of function is orthogonal and find the Norm of the function in given set {cos…
A:
Q: 2) Consider the two vectors Ā = A,î + Ayĵ and B = B,î+ Byj. If î · î = ĵ · j = 1 and î·j = ĵ · î =…
A: Write down the given values using suitable variables. Here A signifies the 1st vector, and B…
Q: sin x COS X cos³x 84_ If x+y+z= sin z sin y cos y 3 os³ y cos³ cos z = 0. z π 2 > then prove that
A:
Q: find u(x,y) , v(x,y) where f(z)=u+iv for function f(z)=Z2 e2z
A: Given, A complex function fz=z2e2z
Q: Problem 4: Simplify Boolean equations using K-map: X= ABC + ACD + AB + ABCD + ABC CD CD CD CD AB 1…
A: "Since you have asked multiple question, we will solve the first question for you as per Bartleby…
Step by step
Solved in 2 steps with 2 images
- 2. Determine whether the vectors: T1 = (1, 1, –2, -2), 72 = (2, -3,0, 2), 73 = (-2,0, 2, 2), and 7= (3, –3, -2, 2), are linearly dependent or independent in R. Show that the first three vectors are linearly independent. Then, express the fourth one in terms of other three.Topic: Functions of a complex variable Find the real and imaginary parts u(x, y) and v(x, y) of the following functions. Write it neatly and with complete details.II. Given vectors: A = -2az + 3ay - 6 ax B = -6ay + 2az + 5az C = 4az + 2ax - 8ay Solve the following (If expression is not possible to solve, you may write "INVALID”): a. 0.5(A + |B|) - |A|C b. (AxC) – ((B•C) −|A|)(B—A) c. 1.2 (B+C) -2.2(C+0.2 A) d. (AC)(|CxB)(|A+B|) e. (AxB) + ((BC) x |A|) f. Determine the smallest angle between vector B and vector C
- 3. Let a, b, n be integers, with n > 0. Prove that a = b (mod n) if and only if a² + b² = 2ab (mod n²).3.) Show that a) (A-B). (A + B) = A ² - B² b) (AB) × (A + B) = 2 A × B Hint: Use the distributive laws A. (B+C) = A·B +À • C Ã × (B+C) = A × B + A ×5. Suppose there exists a functional relationship among three independent coordinates, x, y, z, such that f(x, y, z.) = 0. Taking x as a function of y and z, the exact differential, dr, in terms of partial derivatives with respect to y and z is given by de =| dy + de. (a) In a similar fashion, write down the exact differential, dy in terms of partial derivatives with respect to x and z. (b) By making use of the answer in (a) and the expression of dr given above, show that dr = dr+ (c) Argue how you would obtain the relation 1 based on the equation shown in (b). (d) Argue how you would obtain the relation = 0 based on the equation shown in (b). (e) Based on the relations in (a) to (d) above, show =-1.
- Solve: cos2 x + sin x + 1 = 0, 0 ≤ x < 2ᴫDetermine whether the set is a basis for R. If the set is not a basis, determine whether the set is linearly independent and whether the set spans R°. -3 -8 2 Which of the following describe the set? Select all that apply. O A. The set is linearly independent. O B. The set is a basis for R3 O C. The set spans R°. O D. None of the above5. Evaluate f(2) given the function: X+2 X<2 f(x) = |-3x+1 x2 2