A rectangular plate 0.6 m wide and 1.2 m deep lies within a water body such that its plane is inclined at 45° to the horizontal and the top edge is 0.70 m below the water surface. Determine the total pressure force on one side of the plate and the location of the centre of pressure.

Q: you-y'= lot cos(2t)

A: Given that y''+y'=6tcos2t

Q: to the surface x 2 ^ 2A k. = i+

A:

Q: 3. (p + r) v (9 → r) = (p a q)

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as...

Q: . Deduce from 1 that V x Z2 is a group where V = {e, a, b, c} is the Klein-4 group. (a) Give its Cay...

A:

Q: methad

A: The given function is f(x)=x3-x-1  f(1)=13-1-1=-1 f(2)=23-2-1=8-2-1=5 Therefore the root lies betwee...

Q: If gcd(a,20) = 1 then which of the following is true. (а) а20 %3D а (тod 20) (b) а13 %3D а (тod 20) ...

A: We have , gcd (a , 20) = 1 We know that ,  Fermat's little theorem, If  P does not divide a that is ...

Q: The density of pure iron is 7.874 g/cm³.Apiece of steel made of pure iron and other types of iron is...

A: The volume of a rectangular pyramid is given by the following formula.

Q: Topic: Laplace transform Find the solution of the differential equation which satisfies the indicat...

A:

Q: 4. Find an orthonormal basis for W+, where W is the subspace of R' spanned by the vectors (-1, 1,0,0...

A: To find- Find an orthonormal basis for W⊥, where W is the subspace of ℝ4 spanned by the vectors -1, ...

Q: Let A = {1,2} and B = {a,b,c}. Find the following а. АХА b. АхВ С. ВХА d. ВxB е. п(Ах А) f. n(Аx В) ...

A:

Q: 1 -Find all the points where f(2)is analytic. 2+3 Let /(2) =

A:

Q: 1. d = 9in VOLIME (INTRIS O F) VOLUME(DEARST TENT)

A: The volume of a sphere is V=43πr3, where r is the radius of the sphere. The radius is half of the di...

Q: (bj) be the squar %3D E i, j< 3. If the detern nt of BT is

A:

Q: (ztan 2 +1) dx – x dy = 0

A:

Q: dx (x+5)+9

A:

Q: Let f(x,y) = (x +G))’. Determine the directional derivative of f at the point (1,0) in the direction...

A:

Q: Q1: Find the First Numeric solution (Derivation )of the following equations, where x is [- 5:0.1:5],...

A: The given functions are: (a) y=x3 (b) y=cosx+1 The value of x ranges from -5 to 5.   Symbolic Math T...

Q: A cypress beam found in the tomb of Sneferu in Egypt contained 55% of the radioactive carbon-14 (C-1...

A:

Q: 2. Let 1000 1 P1 = 0000 P2 = 0000 0 0 01,

A: Introduction: If ρ and σ are both qubit states, then fidelity is given by, F(ρ,σ)=tr(ρσ)+2det(ρ)+det...

Q: Provide a two-column proof of Theorem 3: Finite Subgroup Test.

A:

Q: Answer the following questions for the function f(x) = xV/x² + 16 defined on the interval -4 < x < 5...

A: A function is concave upward if we join any two point on the curve and join them, the graph of the c...

Q: Determine the truth value of each statement. There exists an integer x such that 2x − 5 = 12.

A:

Q: Find the total differential, given: (b) \theta = arctan (y/x)

A: Let us consider the function z=f(x,y)  The partials derivative are obtained as ∂z∂x=fx(x,y)∂z∂y=fy(x...

Q: aln(Vx) dx

A:

Q: Problem 8. Determine all 2x2 matrices A with the property that AB = BA, for every 2x2 ma- trix B.

A: We have to find type of matrix A which will satisfy AB=BA 

Q: use the PRODUCT RULE when the function that we need to differentiate is actually two functions multi...

A: In this question, the concept of derivatives is applied. Derivative We can use a derivative to figur...

Q: Prove that if) ak converges and each ak > 0 then > ak converges. k=1 k=1

A:

Q: Consider the following ODE: p(D)x = f, where p(r) is the degree 2 polynomial p(r) = d Let f(t) = et....

A:

Q: Determine the wronskian and evaluate for which values a, b, c ∈ R the following equations is indepen...

A:

Q: Use Vizing's Theorem to find the edge-chromatic number of the following graph H. Select the correct ...

A: The edge chromatic number is 4.

Q: You are going to visit all of the cities. You live in city A. Use the nearest neighbor method to det...

A: Traveling salesman problem

Q: 1. What is the probability that a point chosen randomly inside the large triangle also lies inside t...

A:

Q: (1) Let G be a group of order 94 = 2 x 47. Let Z(G), as usual, denote the center of G. (a) For each ...

A:

Q: If u = x? + y? + z?, where x = e2t, y = e2t (3t), z = e2t sin (3t), cos du at t= 0 is dt then

A:

Q: Find the range of the quadratic function. y = 2x-12x+21 Write your answer as an inequality using x o...

A: For a function y=f(x), the set of real values of x for which f(x) is defined is called the domain of...

Q: The 2nd approximation to the real root of the equation ex – 4x = 0 with initial guess xo = 0.3 using...

A: Given equation is  ex-4x=0 we have to find the 2nd approximation to the real root using Newton-Raphs...

Q: Fu = x? + y? + z?, where x = e2t, y = e2t cos (3t), z du en at t= 0 is - dt

A: In this question, the concept of the derivative is applied. Derivative We can use a derivative to fi...

Q: (c) Let I = (f(x)) be the principal ideal generated by f(x) in Z2[r]. Calculate the multi- plicative...

A:

Q: Coloring the vertices, find the chromatic number of the following graph G. Select the correct chroma...

A: Chromatic number of the graph

Q: 3. Rotation 90° about the origin Y.

A: Any point on the Cartesian coordinate system is represented as x,y. The rule for rotation of 900 ant...

Q: Evaluate, with the order of integration being reversed, an equivalent integral of the following inte...

A:

Q: Coloring the vertices, find the chromatic number of the following graph G. Select the correct chroma...

A: Chromatic Number: Let us consider the graph G then the chromatic number is the number of the color r...

Q: Consider the following differential equation to be solved by variation of parameters. xy" – 5y' = x5...

A: Given differential equation is xy''-5y'=x5 And,  xxy''-5 y'=xx5x2y''-5x y'=x6 ---(1) This is non hom...

Q: The indicated function y, (x) is a solution of the given differential equation. Use reduction of ord...

A:

Q: Problem 7. Let A be an mxn matrix and a be a real number. Show that if aA = 0mxn; then a = 0 or A = ...

A:

Q: Which set of edges below is the minimum spanning tree of graph H? 2 3 2 d H {d, e), {c, d), (a, b), ...

A:

Q: x2 – 3xy + y² = A { x2 + y2 = B Siven the system of equations where A = 2 and B = 8

A:

Q: Prove (kindly provide reason/s) that for any real numbers m and n, (-m ) + ( - n ) = - ( m + n)

A:

Q: 2. Find the modulus and argument of 5 – 7i.

A:

Q: You are going to visit all of the cities. You live in city A. Use the nearest neighbor method to det...

A: