Let Á = ry?a, + x³yzay, Evaluate A. dl along the path y = x2 from a(0,0,2) to b(3,9,2) Select one: O 1430.16 O None O 1850.26 O 1325.12 O 1705.62 O 1222.35 O 1562.14

Q: If u= (2, 1) and v= (4, –16), find 4u+ v. 4 Select the correct answer below: O (9,0) O (6. –15) О…

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Q: U is the set of the numbers on a 6-sided die and B is the set of numbers on a 6-sided die that are…

A: Given If U is the set of the numbers on a 6-sided die and B is the set of numbers on a 6-sided die…

Q: LEnd Ale Loplaee trons form for the follwiner funetion flt)= (1ot)

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Q: Find the valves of X and in this parallelogram. S+ズカ 13 17 a Sohe for x. b) Sie for y

A: Since opposite sides of a parallelogram are equal, therefore

Q: 10 Sx³ex¹⁰dx= (Type an exact answer.)

A: Given integral is as follows

Q: Ex. Show that [b, c) ~ [a, o), where a, b, c ER and b< c. [H7-9]

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Q: then -A U= 4 5 and uTu · [

A: The given matrix

Q: a) Find ū - i b) Find w.u 1/2

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Q: and -5 Compute ū - v. 2

A: Given    Formula :

Q: Suppose i = (-3, –3, –5) and v = (-1, –5, –1). Then ů x ở is and i x ũ is

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Q: Are u sure its not 1

A: It is given that a=0 and b=1.

Q: 6. Let F = (-6, 5)U{-10, 10} U [7, 11). Find max F, min F, sup F, and inf F if they exist.

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Q: Give your answer as a rate, accurate to five decimal places. What gain would offset a 24% loss?

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Q: 9. 11 Let a1 = -6 a2 -4 |, and a3 = 11 -3 -4 The set {a1, a2, a3} will span R° unless h =

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Q: 5. Let F= [3,2,1] and r= [2,1,–3]. Compute the following: %3D a) Proj „F. b) Orth rF = F – Proj „F.…

A: We know that  ProjrF=r.F∥r∥2r Now, r.F=23+12-31=5 ∥r∥2=r,r        =2,1,-3,2,1,-3        =22+11-3-3…

Q: At which of these times (A, B, C, D, E) was runner 1 stopped and runner 2 running? (Select all that…

A: From the graph it can be observed that, At time A the runner 1 had stopped and runner 2 was running,…

Q: A. j2n = (-1)" B. jan+1 = j C. j¯" = (-j)" D. jan-1 = –1

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Q: Show that a,b,c are in A.P. If x is the G M be tween a and b and y is the G M between b and c,  then…

A: We have to show if  a, b, c are in A.P.,  x is the G M be tween a and b and y is the G M between b…

Q: Hiw.sLetAzi+j-2K,b=-i-k and c=zi+uj-zk,finds t Ax(B+C)- 3 CA-B)xC s-(AXB)ec 2- A (2B-c) 4-2Ax 3B 6-…

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Q: End the cquation ot the perpeadicular to tie line KEy=4tat goes thousn the point (0,2).

A: topic - equation of perpendicular line

Q: if zi = ayi for i=1,2,...,n, show that z=ay

A: Here we have given that if    then we have to show that   so here zi and yi are random variable…

Q: = (-10,6, –4) be in R and a be in R. Then , 36 , Let x ат — ).

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Q: If P(A/B) = 0, then A &B are: Select one: a. Mutually exclusive b. ACB с. ВС А d. Independent

A: There are two events A and B such that PA|B=0 PA|B=PA∩BPB=0 Therefore it follows that PA∩B=0

Q: Let D = {-2, -1, 0, 1}. Let E = {0, 1, 2, 3}.

A: Answer

Q: Suppose ū = (0, -3, –2) and ū = (-1, –4, –5). Then: u + v= u – v= v – u= 5u= 2u – 4ū=

A: Givenu¯ =0,-3,-2v¯ =-1,-4,-5

Q: 7. Find the function U, whose first difference is *C

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Q: Family OF lines parring through (0, -4)

A: Given that family of lines passing through (0,-4). To find differential equation based on above…

Q: Let u (41, U2, Uz). Explain why u•u > 0. When is u•u 0?

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Q: Let u = and v = . Now, w = is a linear combination of i and v. That is, w = aju + azv. Determine…

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Q: 34) Deter mine the function at which points, xス f(x ) = if xE if XE IRI& -x2 is contiìNUOUS.

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Q: 10.

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Q: 9. Let X Bin(4,.30), compute a. P(X=0) b. P(X= 1) C. P(X= 4)

A: Given that  Success of probability p=0.3 , q=1-p=0.7 Number of trials n=4 X~binomial (n,p)…

Q: Compute u – 3v, u v and u x w.

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Q: 4. Which relation between x and u yields 16+x² = 4/1+u?

A: Given:

Q: Refer to B={ ={₁0, -6, 0.23, 3, -1.7, √7}. Determine which elements belong to the given set.…

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Q: ..***a***** . Let x (m, 1,0,-2)", m > 0 and ||x||2 = V30, then Select one: a. 6 b. 7 с. 5 d. 4

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Q: 103 Let = 2+j"8 and z, = 4+ j06. Show that a. + =2 = =, +z2 b. 1- 2 = =-2 с. d.

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Q: 2. Draw the graph of y=frac(x)+1. Note that we defined frac(x)=x-floor(x).

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Q: Let A={1 , 2 , 3 , 4 , 5} and p1=(123231 4554) and p2=(123345 4512) Compute p2 ° −1p1−1

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