x = i+i+i+ J i+vi+ vi+.. 3.

Q: Solve for w where u = (-1, 1, 0, 1) and v = (2, 3, -1, 0). w + 4v = -3u w3D Need Heln? Re

A: u=-1, 1, 0, 1 and 2, 3, -1, 0w+4v=-3uTo find w

Q: 9- 4x2 dx 6. Evaluate

A: We need to evaluate the following integral ∫9-4x2x2dx = 9-4x2∫1x2dx-∫ddx9-4x2∫1x2dxdx=…

Q: 2+3

A: Given,        2+3jyx-j=2j

Q: (8 + 5i) – (2 + 3i)

A: Given : (8+5i) - (2+3i) To simplify the given expression. Here we  will use-…

Q: Values a and b satisfy (a + 1)2 + (b − 23)4 = 0. Compute the value of ab.

A: We have been given the equation (a + 1)2 + (b − 23)4 = 0

Q: a 3. 3 Suppose that 2 2 where x is denoting the cross-product. b Then a = and b

A:

Q: 5u + 3 at u=3 2.

A: We need to find 5u+32 at u=3. So,       5u+32=5(3)+32=182=9.

Q: If 21 = (2, -1), z₂ = (6, 3), find 2₁ 22 - 22.

A:

Q: 2 + 1 Showing all work, completely simplify x+1 Final Answer:

A:

Q: Find x and y if (-3x - 9) + 4i = 6 + (3y - 2)i.

A: Given that,  (-3x - 9) + 4i = 6 + (3y - 2)i To solve for x and y, need to use below property of…

Q: = 5i + 4j and v=4i - 3j, determine -9u - v. Given u O-9u - v = -49i - 33j O-9u - v = -40i - 42j O-9u…

A:

Q: Find u × v, v × u, and v × v. u = (3, 2, 8) v = (−3, −1, −9)

A:

Q: Find u x v, v x u, and v x v. u = (2, -9, –1) v = (9, -2, -6) (a) ux v (b) v xu (c) v x v V

A: We need to find cross product.

Q: Find u · v. u = 8, 2 v = −7, 3 u · v =

A: A dot product is also called Scalar product , is a way of multiplying two vector quantities to…

Q: Let F = (2x, 3y, 7z). Calculate div(F) and curl(F). (Use symbolic notation and fractions where…

A: the divergence (div) and curl of the vector field F = (2x, 3y, 7z), we can use the standard…

Q: Let u = 4u + 5v (9, -2, -8) and v = (4, −3, −1).

A: The required solution is:<56,-23,-37>Explanation:

Q: Q10. Im(iz) = a. Re(iz) b.-Re(z) iz+(-iz) C. d. Re(z) 2

A:

Q: Evaluate for the given

A:

Q: Let a = – 4i – 5j and b – 7i + 3j. Find a - b

A: we have  a→=-4i→-5j→ and b→=-7i→+3j→

Q: Find u x v, v x u, and v x v. u = (-6, 2, -7) v = (-2,-5, -3) (a) ux v (b) vxu (c) vxv

A: given vectors

Q: x³ + 27 dx . x+3 Evaluate x3 +9x + C 3 x3 3 +žx²+9x+C 3 x3 + x² – 9x + C 3 2 x3 3 x² + 9x+C 2 3

A: We know that, The sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫ax+bndx=ax+bn+1an+1+C And…

Q: B|a- Find u.v and v xu if u=i+2j-k and v=-2i+2j+2k

A: We have to solve given problem:

Q: b Let a = (-3, 0, -1) and 6 = (3, -3, -2). Find the component of b onto a.

A: To find the component of vector b onto vector a, we use the formula: Component of b onto…

Q: 5x dy. 10.) Evaluate

A:

Q: 2x2+ 11x + 15

A:

Q: x - 3 y = 4 x2 Find the domian and rang

A: We can find the domain and range as below