Find the distance between the planes 2x + 5y + 4z = 7 and 2x + 5y + 4z = = Question Help: Video 10.

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Q: Find the gradient vector field (F(x, y, z)) of f(x, y, z) = tan(4x + 5y+z) . F(x, y, z) =

A: given  f(x,y,z)=tan(4x+5y+z)we know that formula of gradient field is→gradient…

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A: Given ∠T≅∠E ∠TRK≅∠ERK Prove  ∆TKR≅∆EKR

Q: Convert the point (r, 0, z): (x, y, z) = (5, 7, -5) to Cartesian coordinates.

A: Given: r,θ,z=5,π4,-5 We are required to find: x,y,z

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Q: x(t) = − 6 + 6t Find a plane through the point (8,5,2) and orthogonal to the line y(t) = -5 +3t z(t)…

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Q: Let a = (5,2,-5) Find the projection projā b =< and 6 = (-5, -3,2). of b onto a.

A: Given: a⇀=5,2,-5 and b⇀=-5,-3,2.We need to find the projection of b⇀ onto a⇀.

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Q: J R 丰 K 丰 L Given that APQR A LJK, PR=2x+6, JL= 10 units, LK= 3x-6, find the measure of side PR.

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Q: Let 3x² - 7xy + 2y²+x-12y-14=0. Use partial derivatives to calculate dy dz (-2,1) TE at the point…

A: First of all, we will differentiate then we will put the values of x and y

Q: Uee the pram ohown to anewer queetions S1-4 1. Identify the center of regular polygon ABCDE 2.…

A: we have been given pentagon in a circle.

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Q: Let p, q, r be the propositions: p: The user enters a valid password. q. Access is granted. r. The…

A: Given: p: The user enters a valid password.            q: Access is granted.            r: The user…

Q: Translate these statements into English, where C(x) is "x is a comedian," F(x) is "x is funny," and…

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Q: Let à = and b =. Find k so that a and b will be orthogonal (form a 90 degree angle). k=

A: Given  Vector a ={3,2,-1}  Vector b={-2,-5,k} Now we know that vector a and vector b are orthogonal…

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Q: Find the cross product ủ × ở where ủ =2i -7j -8k and 7 = (−9, −3, 9). u x v=

A: The given vectors u→=2i-7j-8k and v→=-9, -3, 9. We have to find the cross product u→×v→.

Q: Find of S. (5.2. (5x + 4y)dA where D = {(x, y) | x² + y² ≤ 9, x ≥ 0}

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Q: The statement is related to inhabitants of the island of knights and knaves created by Smullyan,…

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