A plate in the shape of an isosceles triangle with base 1 m and height 2 m is submerged vertically in a tank of water so that its vertex touches the surface of the water. Ay Calculate the total fluid force F on a side of the plate. The acceleration for gravity is 9.8 m/s². The density of water is 1000 kg/m³. (Express numbers in exact form. Use symbolic notation and fractions where needed.) F = newtons

Q: avb (avb)+ F

A:

Q: Hả+b+c = 0, show that ả x b = b xả = xã

A:

Q: H G M MP ||

A: As we can see from the image, the side MP is parallel to the side GH.

Q: 3 Let vi = V2 = and b = For what values of h, if any, is b a linear combination of Vị and v2?

A:

Q: dw (Sw2 +1), In(5w²+1) (5w

A: ∫w*5w25w2+1*ln(5w2+1)dwSubstitute…

Q: If e7 19, then x =

A:

Q: Simplity b-[b-Ca+b) - CB-Cb-a-b)J+2a]

A:

Q: 1. Let U = {1,2,3,4,5,6,7},A= {l,2,3,4}, B (3,4, 5}, C = {2,3,4,5,6}. Find the following: %3D a. AUB…

A: Given,U=1,2,3,4,5,6,7A=1,2,3,4B=3,4,5C=2,3,4,5,6

Q: the lonnith AR

A: We are asked to find the length of the graph

Q: dr (V+|)²

A:

Q: Use the union rule to answer. If n(A) = 9, n(B) = 10 and n(A N B) = 3, what is n(A U B)? ... n(A U…

A:

Q: Find u × v, v × u, and v × v. u = (3, 2, 8) v = (−3, −1, −9)

A:

Q: Find u x v, v x u, and v x v. u = (2, -9, –1) v = (9, -2, -6) (a) ux v (b) v xu (c) v x v V

A: We need to find cross product.

Q: Use the union rule to answer. If n(A) = 6, n(B) = 10 and n(A N B) = 4, what is n(A U B)? n(A U B) =

A:

Q: Decide if the following n can be expressed as the sum of squares. If it is possible then provide…

A: This problem is based on the sum of two squares theorem. We first state the theorem and then give an…

Q: x²-1 da X

A: We have to evaluate ∫x2-1x dx.

Q: Use the union rule to answer. If n(A) = 10, n(B) = 15 and n(AB) = 8, what is n(A U B)?

A:

Q: 10; elseunére Y,= amount of pollutant Per Sample collected a buve the Stack Wthout the cleaning…

A:

Q: 2 31 Find 24³ – 4A + 5 I. 2. Let A = -31

A: Given: The matrix is A=124-3. To Find: 2A3-4A+5I.

Q: Find the values of c1, c2, and c3 so that c1 (4, –6, 2) + c2(-4, 3, 0) + c3 (-2,0, 0) = (-4, –3,…

A:

Q: 4 | (153w 19 + 505w17 + 120w15 + 144w13 +w?) dw - 4 4 | (153w19 + 505w7 + 120w15 + 144w + w) dw= ||…

A:

Q: Let á = (–1, 0, 1), b = (0, 3, − 1) and ₹ = (1, 2, —2). a. Find à x b. b. Find (a + b) x č. c. Find…

A: NOTE: Refresh your page if you can't see any equations. . here we have . find the determinant

Q: Find VW 2x - 7 2x - 14 | U • V. 15

A:

Q: Let floo) = 0e 5 and gloo) = 2a19 Detemine Cgof) (x) 2079. %3D %3D

A: Topic:- function

Q: Let å = (– 1, – 2, 1) and b = (4, 2, 1). Find å x b. V

A:

Q: Multiplt. 3i(4-i)

A:

Q: 1 -1 A = -1 2 -1 0 -1 1

A: Answer is in next step

Q: Find x and y.

A: Given :'x-27y=-4-2722To determine x and y .

Q: -a b Evaluate-2a +4x 2b-4y x с 2b-4y 2c +4% -Y

A:

Q: 2. Find u, 3v, v - u, and 2u + 5v. u = (4, 3), v = (3, -7) (a) u 券 (b) 3v (c) v - u (d) 2u + 5v

A: Please find the solution below:

Q: C. In the picture, prove that a(a+b)=c(c+d). a

A: Given : To prove : aa+b=cc+d

Q: 2. (14 points) Let X and Y have the following joint probability density function(pdf): if 0 < x < 1,…

A: The joint probability density function of X and Y is  fX,Y(x,y)=cx2y, if 0&lt;x&lt;1 and…

Q: If v = (3, –1, 1) and w = (-2, –2, –2) , what is v · w ? -10 O 10

A: v=3i^-1j^+1k^   w=-2i^-2j^-2k^

Q: 4E + B e SEppose - and A-(8 then %3D a3 Pind ai/a2/a3, au And find the value of B

A:

Q: -2 1 21 = a 3 +b -3 -22

A:

Q: 3. |(10w vw) dw Your answer

A:

Q: G (5,8) H (4,-5) J (17,-6)

A:

Q: -2 -1 -2 and A = 1 Determine A if A -1 -2 -3

A: