(7, -8) and w=(-4,8), Given v= find v+w. v+w=

Q: 5) If w = 4i + 4j, find 2w. 6) If v = 3i - 5j and w = -7i + 4j, find 3v - 4w. 7) If v = -4i + 4j,…

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Q: 3) If A = 2x²i – 3yzj + xz?k and ¢ = 2z – x³y, find A - Vo and A x V¢ at the point (1,-1,1). ww. 4)…

A: A=2x2 i-3yz j+xz2 kA(1,-1, 1)=(2, 3, 1)ϕ=2z-x3y∂ϕ∂x=-3x2y∂ϕ∂y=-x3∂ϕ∂z=2∇ϕ =∂ϕ∂x i +∂ϕ∂y j+∂ϕ∂z k∇ϕ…

Q: Find fx and fy, and evaluate at the given point.

A: The given function is: fx, y=xyx-y and the point is 2, -2. To find the fx and fy, first…

Q: Express ∂w/∂r and ∂w/∂s in terms of r and s if w = x2 + y2, x = r - s, y = r + s.

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Q: Find the point P such that v = PQ has the components (-7.75,–14.5, –2.5). Q = (-0.75, -6.5, 5.5) P =

A: Solve for p

Q: Solve for x, where u = (1, −1, 2), v = (0, 2, 3), and w = (0, 1, 1). 3u + 2x = w − v

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Q: 4 as a linear combination of v,, V2, V3 when the coefficient of v3 is 1. 14 Write -4 Ov, + - (OV2+v3…

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Q: If f(r, v) = ry – ry", find 7 + ±),-.y-a

A: The power rule of differentiation states that d dxxp=pxp-1, where p is any real number. Use the…

Q: if v= 5i-6j and w= xi +8j, Find all numbers x for which ||v-w||=4.

A: Given, v=5 i-6 j and  w=x i+8 j

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: 5. If UW = 6x- 35, find UW. 6. If HJ = 7x – 27, find the value of x. 19 4x - 20 3х-5 X-1 V. W H.

A: Sol (1)VW=6x-35U      19             4x-20                            V                     Wso,…

Q: Suppose A = {-1,0, 1} and B = {d, e, f}. Find: а. ВхА b. Аx (Вx В) С. Вз

A: We will find answers to all the parts as following.

Q: (a) Oppositely directed to v = (19, –14) and half the length of v. -19 V557 1. w = 2

A: Given ,v=19i-14j+0kAim)  find Oppositely directed to v and half the length of v.Therefore…

Q: Express the following as a linear combination of u = (2, 1, 6), v = (1, -1, 4) and w = (10, 2, 6).…

A: We have to find out

Q: If the checker can only move diagonally, and must jump over X's, how many paths lead to the top? X X

A: If it has to jump over X then only one path is possible.

Q: o Find the Vf at the given point 4. If f= 2ryz and g=ry+z, fing V (f+g) and ▼ (fg) at the point (1,…

A: Given:       f=2xyz       g=x2y+z      f+g=2xyz+x2y+z           ∇f =∂f ∂x,∂f∂y,∂f∂z

Q: (2) Find the values of r, if (6) / = 7x, y= rz². (ü) y" – 7y" + 6y/ = 0, y= e". (iii) t*y" + 8ty/ +…

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Q: If u = (1,0), then Düfz(-3, 4) = ƒxy(−3, 4). True False

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Q: If f(z) = z² − (z)² + zz, calculate the following: a) u(x, y) and v (x, y) b) u(-10,-5) and…

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Q: Write v as a linear combination of u and w, if possible, where u = (2, 3) and w = (1, −1). (Enter…

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Q: Find v−w​, if v ​= 4i −3j and w ​= 5i −2j. IIv-wII=?

A:

Q: Given: u = (-1,3), v = (2,4), & w = (2, –5), find each of the following: а. и + v b. 2w – v С. Зу —…

A: Given: u=-1,3, v=2,4, w=2,-5

Q: Solve for w, where u = (1, −1, 0, 1) and v = (0, 2, 3, −1). w + 3v = −2u

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Q: Find the point P such that v PQ has the components (-6.75,-6.5,-9.5). Q=(-2.75, 2.5,-3.5)

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Q: r(0)=, find v(t) and r(t).

A:

Q: Find speed and acceleration at a point (C,D), if distance of a particle is given by S = 2t^3− 3t^2…

A: The acceleration of an object is the rate of change of its velocity. The velocity of an object is…

Q: Let u = (1, 2, 3), v = (2, 2, -1), and w = (4, 3, -4). Find z, where 2u + v - w + 3z = 0. z =

A: Given :u=(1,2,3)v=(2,2,-1)w=(4,3,-4)

Q: Solve for x, where u = (1, −1, 2), v = (0, 2, 3), and w = (0, 1, 1). 2x − u + 3v + w = 0

A: Given u = (1, −1, 2), v = (0, 2, 3), and w = (0, 1, 1). And 2x-u+3v+w=0 Plugging the values,…

Q: Let a =i-j and b = 31 + 3/. If Daf (1,2) = 6v2 and Dof(1,2) = -2V2, then find f(1,2) and fy(1, 2)

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: If |z-8 <, and ly-히 < , then a - y < 1. 2'

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Q: Write v as a linear combination of u and w, if possible, where u = (3, 2) and w = (3, –1). (Enter…

A: Given: u=3, 2, v=6, 1 and w=3, -1. To write v as a linear combination of u and w. Solution: When one…

Q: Solve for w, where u = (1, −1, 0, 1) and v = (0, 2, 3, −1). w + u = −v

A: Let's consider w = (a, b, c, d) So w + u = (a, b, c, d) + (1, -1, 0, 1) = (a + 1, b - 1, c, d + 1)

Q: solve for w where u = (0,-1,1,1) and v = (3,0,-1,2) 5w = u-3v w=?

A:

Q: Solve for w, where u = (1, −1, 0, 1) and v = (0, 2, 3, −1). 3w = u − 2v

A: Given , u=1,-1,0,1v=0,2,3,-1and 3 w=u-2v

Q: 3. Find the value(s) of a for which ở = (-1, 2a – 1,3) and w = (2,2a + 3,–6) are parallel.

A: Two vectors  are parallel  is their cross product  is zero. So calculate  cross product  in the…

Q: Solve for w where u = (1, -1, 1, 0) and v (2, 0, –1, 3). 3w = u - 2v w =

A:

Q: Find the point P such that v = PQ has the components (4, 3, -10.5). Q = (5,9, -8.5) P =

A: To solve the following vector

Q: Write v as a linear combination of u and w, if possible, where u = (2, 2) and w = (2, –3). (Enter…

A: Solution is written in below steps.

Q: Ex Find lull, , u.v, and d(4,v). U = (-1,1) , v= (7, 9) O d(u, v)

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Q: The choice of u and du is subject to trial and error. Identify the appropriate choice of u and du…

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Q: Solve for x, where u = (1, −1, 2), v = (0, 2, 3), and w = (0, 1, 1). 3x + 2u − v + 2w = 0

A: The given vectors are Let the vector x be

Q: Let u = x + 7y and v = x - y. Subtracting v= x - y from u = x + 7y, we get y = Adding u =x + 7y and…

A: Given:      Let u=x+7y              v=x-y Subtracting v=x-y from u=x+7y, we get…

Q: If MZTUV = (9x + 1)°, m<TUW = (7x - 9)°, and mzWUV = (5x - 11)°, find the value of x %3D T W U V

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Q: Given v = and u = , find 6v - 6u

A: The vectors are given by v = 8,-2 u = 9,-2 To evaluate : The value of 6v-6u

Q: If f(z) = z² - (z)² + zz, calculate the following: a) u(x, y) and v (x, y) b) u(-10,-5) and…

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Q: If r(t) = (3e2t, 3e-2t, 3te2t), find T(0), r"(0), and r'(t) · r'(t).

A: Given

Q: Write v as a linear combination of u and w, if possible, where u = (2, 2) and w = (2, -1). (Enter…

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Q: ZEFG and ZGFH form a linear pair. If MZEFG = (2n + 21) ° and .ZGFH = (4n + 27) °, find %3D MZEFG and…

A: Given data: m∠EFG=2n+21∘......(1) m∠GFH=4n+27∘......(2) The objective is to find the angle m∠EFG and…

Q: Find (u - 3v) · (3u – v), given that u u = 9, u v = 6, and v . v = 8.

A:

Q: 5. Find fx, fy, and fz given x®y? f(x, у, 2) z4 %3D

A: