Measured values of a, b, and c are as follows: a=72±3, b=41±5, and c=6± 1.
y = (a - b) / c^2
Find uncertainty in y.
Measured values of a, b, and c are as follows: a=72±3, b=41±5, and c=6± 1. y...
(1 point) Let F (72+72) i + (2y +62 + 6 sin(y*)) 3+ (2x + 6y + 2e=") R. (a) Find curl F. curl F = <0,0,0> (b) What does your answer to part (a) tell you about Sc F. dr where is the circle (2 – 30)2 + (y - 35)2 = 1 in the ty-plane, oriented clockwise? SF. dr = 0 (c) If C is any closed curve, what can you say about SF. dr? SoF dr =...
Suppose (X,Y) follows a trinomial distribution (5, 1/3, 1/4). a. Find E(X) b. Find E(Y) c. Find Var(X) d. Find Var(Y) e. Find Cov (X,Y) f. Find p (correlation coefficient)
(a) (6 marks) Determine the values of A, B and C such that 1 x(x
2 + 1) = A x + Bx + C x 2 + 1 . Hence evaluate Z 1 x(x 2 + 1)dx.
(b) (6 marks) Find the area under the curve y = xe−x for x ≥ 0.
3. (a) (6 marks) Determine the values of A, B and C such that 1 А + Bir + 12+1 (22+1) 1 Hence evaluate dr. (2+1)...
2. Two values were measured, 4.6 +0.3s and y 3.2+ 0.2s2. You wo values were measured.T then need to calculate the quantity, y2 Report a with the correct associated uncertainty
In a population with N-6 the values of y are 8, 3, 1, 11, 4, and 7. Draw all possible unordered sam ples of size 4 from this population without replacement. (i) Find P(s) for each sample point (ii) Find T, for each unit. (ii) Find the sampling distribution of v. (iv) Is y an unbiased estimator of ? Justify your answer. ()Is V(F)- (1- Justify your answer. 72 () Is r an unbiased estimator of s? Justify your answer.
9+ 5 8 7 4 h(x) 6 3 y-values 5+ y-values 4 N 8(x) 3 2 1 3 2 X-values Ou 2 3 x-values If f(x) g() then h(x)' f'(4) = -13/2 Preview Get help: Video
8. Find the values of r and y if [ [:-, ] -[:}] 1 3-y 2] 2 ) 9. Find the values of u and y if 3 4 21 | 2 5 7 ] [ 3 4 y [ 2 5 7] 10. Consider the matrix A defined by: [1+a A= 1 1 1 1 + 1 1 1 1+c Show that the determinant of A is equal to abc + ab + ac + bc
1, 0, y0} 3. Evaluate xydA, where R = {(x,y) + 36 16 R (а) 5 (b) 25 (c) 55 (d) 72 (e) 73
1, 0, y0} 3. Evaluate xydA, where R = {(x,y) + 36 16 R (а) 5 (b) 25 (c) 55 (d) 72 (e) 73
QUESTION 1 (25 MARKS) (a) Solve 5+ (3)41 = 12 (6 marks) (b) Find x if (25)*+2 = 5384 (4 marks) (c) The projected population P of a city is given by: P=100,000e4,054 where t is the number of years after 1990. Predict the population for the year 2010. (2 marks) (d) State whether x = 2 is the discontinuity point for: x +1 if x> 2 8x if x < 2 f(x) = and show that lim f(x) does...
Let A = {1, 2}, B = {3, 5, 6}, C = {1, 2, 3, 5, 7}, D = {4, 7, 9}, and U = {1, 2, 3, . . . , 9, 10}. 1. Find B ∪ C. 2. Find B ∩ C. 3. Find A ∪ B. 4. Find C ∩ D. 5. Find C'. 6. Find B'. 7. Is 4 ∈ C? 8. Is B ⊆ C? 9. Is A ⊆ C? 10. Are A and B...