Web1 = 0 and 3x 2 3x 3 = 0, so x 2 = x 3 and x 1 = 0. Thus the null space of S is spanned by (0,1,1) in the standard basis. ... two and the dimension of F 2is two; thus, the range of T is all of F so T is surjective. 6.6 Show that no linear map T : F5! F2 can have as its null space the set {(x 1,x 2,x 3,x 4,x 5) 2 F 5 x 1 =3x 2,x WebGraph f(x)=-3x-2. Step 1. Rewrite the function as an equation. Step 2. Use the slope-intercept form to find the slope and y ... Step 2.3. The slope of the line is the value of , and the y-intercept is the value of . Slope: y-intercept: Slope: y-intercept: Step 3. Any line can be graphed using two points. Select two values, and plug them into ...
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WebFind the range of the following function: f(x)=2−3x,x∈R,x>0 A (−∞,2) B (0,∞) C (1,2) D (2,3) Medium Solution Verified by Toppr Correct option is A) since x is >0, −x will be <0 which … WebSep 7, 2024 · You have shown that y is in the range of the function y = x2 + 3x + 1 x + 1 if x is a real-valued root of the quadratic equation x2(y − 1) + x(y − 3) + (y − 1) = 0 For x to be a real-valued root of the quadratic equation, its discriminant must be nonnegative. small capsomere-interacting protein
已知函数f(x)=4x3-3x2sinθ+132,其中x∈R,θ为参数,且0≤θ<π.(1)当θ=0时,判断函数f(x…
Web3. Let x ∈ R satisfy x 7 + 5 x 2-3 = 0. Then x is not a rational number. Solution We use proof by contradiction. Suppose x 7 + 5 x 2-3 = 0 and x is rational, so we can write x = a b where a, b ∈ Z, b > 0 with gcd(a, b) = 1. Then a b 7 + 5 a b 2-3 = 0 a 7 + 5 a 2 b 5-3 b 7 = 0 Since a and b have no common factors, they cannot both be even ... WebSep 7, 2024 · 4 Answers. Sorted by: 1. You have shown that y is in the range of the function. y = x2 + 3x + 1 x + 1 if x is a real-valued root of the quadratic equation x2(y − 1) + x(y − 3) … WebFinal answer. Transcribed image text: Given that F = 5x3,−9x3z2,−15x2z +y is a curl field, you must find a vector potential G such that ∇× G = F To do this, suppose that G = P,Q,R . Then P,Q,R must satisfy the three equations: 1. = ∂y∂R − ∂z∂Q 2. = ∂z∂P − ∂x∂R 3. = ∂x∂Q − ∂y∂P. Previous question Next question. somers ct gis mapping