Given uncertainties in x and y, what is the uncertainty in d2? Use the addition rule on the results of the power rule.
Addition rule
Form r= x+ y
Rule Δr= Δx + Δy
d2 = x2+ y2
Question 5 options:
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Given uncertainties in x and y, what is the uncertainty in d2? Use the addition rule...
Using the addition and subtraction rule for propagation of uncertainties, select the expression for the uncertainty in the net force. Form: r = x ± y Rule: Δr = Δx + Δy Question 1 options: A) ΔFnet = ΔF1 - ΔF2 B) ΔFnet = ΔF1 + ΔF2 C) ΔFnet = Δx + Δy D) ΔFnet = 3 Question 2 (1 point) Saved If the results of the force measurements are F1 = (12.2 ± 0.9) N and F2 = (19.8...
A scientist wants to find the square of the distance d from a source to a detector. Instead of directly measuring d, she measures the distances along an x and y axis and their uncertainties. Then she uses the Pythagorean Theorem to find d2: d2 = x2+ y2 Question 4 (1 point) Given an uncertainty in x, what is the absolute uncertainty in x2? Form: r=xn Rule: Δr/r =nΔx/x Question 4 options: A) Δ(x2) = 2(Δx)x B) Δ(x2) = 2Δx...
You are measuring the average speed of your well-trained dog. The dog runs to the end of a field and back to you. You measure the length of the field, L, and the round-trip time, t, with their uncertainties ΔL and Δt, to calculate the average speed of the dog: v = 2L/t. Using the multiplication and division rule for propagation of uncertainties, select the expression for the absolute uncertainty in the average speed. Form: r= xy or r= x/y...
You measure the length of a board with a ruler that is older and has a worn-down end. If you align the end of the board with the end of the ruler, what type of uncertainty does the end of the ruler contribute to the measurement? A) Random B) Systematic The average height of children in kindergarten in Winnipeg is found by measuring the height of one randomly-selected child in every kindergarten class in the city. What type of uncertainty...
(Aya2(Ayx) The propagation of uncertainty formula for the equation y-ax*2 is where Δγ,-(ax2)-((a+5a)x2)and Δγ,-(ax2)-(a(x+5x)2) and. The values δα and5x are the uncertainties on a and x respectively. If a -35*/-0.2 and x -0*/-0.4 then what is the uncertainty on y? QUESTION 17 The propagation of uncertainty formula for the equation y-mx rb is V(Aym)2(Ay)+(Avb) where ym-(mx + b) _ ((m+5m)x + b). Дух-(mx + b)-(m(x+5x) + b) and Дуь-(mx + b)-(mx + (b +5b)) The values m 5x and b...
Review of Measurement Uncertainty Calculations Here are the rules for propagating uncertainties through a calculation Addition: z m x + y δ,: 8x + 6y This works for any nunter of terms Subtraction:zx-y o&x + 5y This also works for any number of terns Multiplication by an exact value: z kx 82-kEx General multiplication/division: z-xy or z-:-a-Irl ) (This works for any number of factors) Exact power: z r-δε-121k] sine function: Z t, sin χ-82 tt lcos xlsr Cosine function...
q=x+y where x+y=20, given Δx and Δy, what is Δq? Δq=q(Δxx)2+(Δyy)2 Δq=(Δx)2+(Δy)2 Δq=(Δx)2+(Δy)2 None of the above.
QUESTION 16 1 points Save Answer The propagation of uncertainty formula for the equation y-mx b is V(Aym)2+(Ay(Ayb) where Yn-(mx + b) _ ((m + &n)x + b). Дух-(mx + b) _ (m(x + 5x) + b) and 5x and Sb are the uncertainties on m. x and b respectively. Ifm-o/- 0.3. x - -4.8-0.5 and b - 16/-0g then what is the uncertainty on y? O-(mx + b) _ (mx + (b + Sb)). The values 5m, QUESTION 17...
using the general power rule Question 1 let y = (x2 +x)3 Find y' 2x+1 3(x2+x)2 3(x2+x)2 (2x+1) • (x2+x)2 (2x+1) recall general power rule formula has three parts: [u(x)" ]' = n u(x)" 1 u'(x) Question 2 let y = (x3 +x2) 1/3 Find y' (x3 +x2) 1/3 (1/3) (x3 +x2) 1/3 . (1/3)(x3 +x2)-2/3 (1/3)(x3 +x2-2/3 (3x2+2x) recall general power rule has three parts. [u(x)"l' = n u(x)n-1 u'(x) Question 5 let g(x) = 1/(x3+x2)3 find g'(x) (x²+x23...
3. Given w = x2 + y2, where x = eat and y = (4+t)2, use the chain rule to determine du