If F(x, y, z) = (x²z, –2xz, yz), then curl F(6, –3, 1) equals %3D O (12, 39, –5) O (9,34, 2) O (13, 36, –2) O (11, 29, 4)

Q: 10) Show that [x] = −[−x] A 11) suppose that g: A → B and f: BC, where A = B = C = {1,2,3,4}, g =…

A:

Q: two

A:

Q: 2. Find the fi K(x, t)

A:

Q: Question 4 Consider a consumer who consumes three goods, 1, x2 and r3. The consumer's consumption of…

A: Given: x1(p, s, w, y)=p2yw-sy=0             x2(p, s, w, y)=3yw-1sw=2             x3(p, s, w,…

Q: 1.4 Which of the following equations are linear? (iii) x = -7y + 3z (i) x + 5xy – 2z = 1 1 (v) VTx +…

A:

Q: If f(r, v)= +y-2y, find fa (2, 1), f (2, 1), fay(2, 1) and fy(2, 1).

A: Given a function f(x,y)= x3+x2y3-2y2 Now, fxx= ∂2f∂x2=∂∂x∂f∂x fyy= ∂2f∂y2=∂∂y∂f∂y…

Q: Which of the following sets are linearly independent in p3? S, = {(1.21). (1.-1,0). (1, 1,1)} S3 =…

A:

Q: 2. Let X = (a, b, c, d, e} and t = {(O, {a, c, d), (b, c, d, e), (a), (C, d), X) then subbase of (X,…

A: (2) Given a set, X=a, b, c. d, e and τ=∅, a, c, d, b, c, d, e, a, c, d, X. To find the sub-base of…

Q: Suppose that (Q x Q, +,.) is a ficld where (x, y) + (z,w) (x+z,y + w) and (x, y). (z, w) (xz +2yw,…

A: I have find identity of the field and then inverse

Q: Define briefly u(t) and 8(t)

A: u(t): u(t) represents the unit step function, which is defined as u(t) = 0 for t < 0 and u(t) = 1…

Q: If ū = (1,–2, k) is a linear combination from v = (3,0, -2) and w %3D (2, –1, –5),then k = 8. O T O…

A: The solution is given as

Q: Compute the following cross products: (а) ј x (3і — ј + 2k); (b) (1,2, 3) х (3, 2, 1); (с) (і — ј+…

A: Let a Vector A→=xi+yj+zk and B→=ai+bj+ck then Cross Product between two vectors A→ and B→ is given…

Q: 14. Let v(1,2), va- (2,3) and let 5= matrix from (w), wy) to (v₁, v₂) (a) w₁(1,5) and wa-(9,4) (b)w,…

A:

Q: 2. Let g (x, y) = 2x² – y² . Compute 9(1, 2), g (2, 1), g (1, 1), g (–1, 1) and g (2, –1).

A:

Q: Give the matrix associated with the quadratic form 10(x,)? – 5x,x2 +6(x,)².

A:

Q: (b)Let A = {1,2,3}, B = {a, b, c}, and C = {x,y, z}. Consider the following %3D relations R and S…

A: Given R=1,b, 2,a, 2,cS=a,y, b,x, c,y, c,z

Q: 4. Let L: R² → R? be a linear operator. If L((1, 2)") = (-2, 3)" and L((1, – 1)") = (5, 2)" find the…

A:

Q: Find the covariance of Y,, Y, and Cyy.

A:

Q: Let Compute дw -(-2,-2) = -(-2,-2) = მs дw St W = 2xy - 2yz + 3xz, x = st, y = est, z = t² =

A:

Q: If A%3 2x3 -Зх +2:х € [О, 2) then in (R, T,), A %3D а. [-3, 1] b. [-1, 1] с. [1, 3] С. d. [0, 4] e.…

A: Open sets and Closed sets: The sets in topology τ are called the open sets of the topological space…

Q: Compute by hand the natural cubic spline for the data points (2,0), (1, 1), (0, 0).

A: Given data points are: 2 , 0 , 1, 1, 0 , 0. To Find : Natural cubic spline.

Q: w+y+2z w+2x-y -3 2w+x+3y-2z ] = [X²] 6 x-2y -2 0

A:

Q: Compute Edin (1)(d).

A: As per the question we are given a Dirichlet convolution between the sumof divisors function σ(n)…

Q: 1) Draw the graph for the function Y = x3 and then find (Df) & (Rf). 2) Draw the graph for the…

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

Q: 5. Find the equation that gives the FT of x,(t) * x,(t) * x,(t) where x,(t) is the rectangular pulse…

A: It is given that

Q: 5. (a). i • (7F + (; (b). |(i • )i\\; (c). i • ); (d). (i) • . Let i = (1, 2,0), F = (4, 1, —2), and…

A:

Q: If u = x2 + y2 + z2 and v = xy + yz + zx and w = x+y+z between is there a relationship between,w,v…

A: Concept: The concept of algebraic expressions is the use of letters or alphabets to represent…

Q: If lx - -3, flye - 2,0-2, a²-5 and oxy - 1, find the covariance between U - X + 4Y and V = 3X-Y. 4…

A: