Web1. Let R = ln(u2 + v2 + w2), u = x + 2y, v = 2x − y, and w = 2xy. Use the Chain Rule to find ∂R ∂x and ∂R ∂y when x = y = 1 . Solution: The Chain Rule gives ∂R ∂x = ∂R ∂u ∂u ∂x + ∂R ∂v ∂v ∂x + ∂R ∂w ∂w ∂x = 2u u2 +v 2+w ×1+ 2v u +v 2+w ×2+ 2w u +v +w2 ×(2y). When x = y = 1, we have u = 3, v = 1, and w ... Webu+v +w = 2 v +2w = −1 0 = a+1. In order for the third row of this new system to be true, it must be the case that a = −1. If so, then the second row implies that v = −1−2w, so the …
Math 215 HW #1 Solutions - Colorado State University
WebInput vectors and V1 = ( , ) V2 = ( , ) Type r to input square roots . Examples: Choose what to compute Settings: Find approximate solution Hide steps Compute EXAMPLES … This solver performs operations with matrices i.e. multiplication, addition and … Algebra formulas . Set identities - Union, Intersection, Complement,Difference, … Web(i) Find an orthonormal basis for V. (ii) Find an orthonormal basis for the orthogonal complement V⊥. Alternative solution: First we extend the set x1,x2 to a basis x1,x2,x3,x4 for R4. Then we orthogonalize and normalize the latter. This yields an orthonormal basis w1,w2,w3,w4 for R4. By construction, w1,w2 is an orthonormal basis for V. barasuta-
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Webw2+4w-+5=0 Two solutions were found : w = 1 w = -5 Reformatting the input : Changes made to your input should not affect the solution: (1): "w2" was replaced by "w^2". Step … Web(w-1)2=2w2+6w+16 Two solutions were found : w = -3 w = -5 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the … WebQuestion: Assignment 1(2+2+2pts). Let v=[2,−1,2] and w=[1,0,1] Find (a) the component of w in v-direction, (b) the component of v−3w in w-direction, and (c) the component of 2v+w in (v−w)-direction (by hand calculations). barasuase manuscript