A triangle has four sides or a straight line has 90o angle if and only if a bicycle has two wheels and a man has seven fingers.

Q: Problem IV Consider the Ellipsoïd E:= = {(x, y, z) € R³ | ²+¹ +2²=1}. = Question 1 Let M (ro, yo, 0)…

A: Given- Consider the Ellipsoid E := x, y, z ∈ ℝ3 | x24 + y29 + z2 = 1 To find- Let Mx0, y0, 0 be a…

Q: function R (w, v) = 0 and 0 ≤ v ≤ 2π.

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Q: 2) Given the following: f(x)=x²+2x+1; g(x)=x-1; and d(x)=√x +3, evaluate a. f(h+2) b. d(g(7)) C.…

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Q: 2. The region R is bounded by y = x², y = 1, y = 2 and the Y-axis. (a) Pick a method (Disk/Washer…

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Q: Prove the following statement by proving the contrapositive. Prove: If 3n +7 is an odd integer, then…

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Q: Find the derivative dw dt 1 where w=5xyz, x=2t, y=4t, and z=3t-³. X=

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Q: Write Mindanao is not part of the philippines in logical form then write the truth value

A: To find- Write Mindanao is not part of the Philippines in logical form then write the truth value.

Q: 3. dx/dt = x + y², dy/dt = x + 2y ranscribed Image Text: 3-dx/dt = x+y², dy/dt =x+2y (a) Determine…

A: a) Let dxdt=F(x,y) and dydt=G(x,y)To find the critical point we need to equate F(x,y) and G(x,y) to…

Q: Given that 2r + 1 = sin 0. (a) Test the symmetries of the above equation. (b) Construct a table for…

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Q: LeAnn flipped her lucky coin 13 times and got 8 heads. LeAnn used these numbers to estimate the…

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Q: The reasons for each step needed to show that the given arguments are valid.

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Q: Use the transforms of some basic functions (i.e., theorem 4.1.1 in the textbook) to find ¹£{f(t)}•…

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Q: se the accompanying tables of Laplace transforms and properties of Laplace transforms to find the…

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Q: Find the solution of the given initial value problem: y(4) + 2y"" +y" + 8y′ − 12y = 6 sin(t) +80e¯t;…

A: We use method of undetermined coefficient.

Q: 3.2 Example. Consider the Dirichlet function f: [0, 1] → R defined by if x is rational f(x)= if x is…

A: To Prove: Dirichlet's function which is defined as f:[0,1]→ℝ, f(x)=1x∈ℚ0x∈ℚc  is not Riemann…

Q: Which one of the following alternatives gives the format for the list notation of * a b с d d c b a…

A: I have given the answer in the next step. Hope you understand that

Q: Find a fundamental matrix for the system x'(t) = Ax(t) for the given matrix A. A= 12 27 -1 Choose…

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Q: The well-known formula for calculating the sum Sn of the positive integers from 1 to n was already…

A: we have that  Sn2=1·1+2·2+1·3+2·4+....+1·n-1+2·n (a) find an explicit formula to calculate this sum…

Q: 8 A LTI system is described by the D.E. ÿ + 6 ý +8y -2t find h(t), then find y(t) if X(t) = te²t…

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Q: Describe the level surfaces for f(x, y, z) = y+10-√x² + z² and sketch them for several (at least two…

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Q: The second angle of a triangle is 30 more than the first angle. The third angle is three times the…

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Q: method

A: We use Cauchy's Residue theorem.

Q: Topology let X be an t be all a infinite Show let topology on X in which subsets of X that Tis…

A: Given :  X be an infinite set and τ be a topology on X such that all the infinite subsets of X are…

Q: (a) cos(iz) = cos(iz) (b) sin(iz) = sin (iz) for all z; if and only if z = nлi (n = 0, +1, +2, ...).

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Q: Use the Laplace transform table and the linearity of the Laplace transform to determine the…

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Q: Find the critical numbers of the function f(x) = 3x5 + 15x¹ − 25x³ 4 and classify them. At x = At x…

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Q: 0. Solve y"+8y'+20y = 0, with y(0) = 2, y '(0) = -7.0

A: We have to find the solution of given differential equation.         y’’+8y’+20y=0  ; y(0)=2,…

Q: i) ii) ¬(P V Q) ^ ¬(РЛQ) ¬(P^ Q ^R) V (P^ ¬Q ^R) V (Р^ ¬Q^ ¬R)

A: Given: Let us consider the given Boolean expressions, i) ~P∨Q∧~P∧Q ii) ~P∧Q∧R∨P∧~Q∧R∨P∧~Q∧~R

Q: n each system, at least one pair of planes are parallel. Describe each system in words. ( no math…

A: Two planes are parallel means they do not cut each other any point. Solution a: Given system is…

Q: Take xlt) then x(w) = => x/w) = x(W) = . s'i ziot ζω -jwt -jw X/W) = 1x1 مانت e 1 1 2j dt - jw = jw…

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Q: Determine if the columns of the matrix form a linearly independent set. Justify your answer.

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Q: S tdt √1+2t

A: To integrate we substitute 1+ 2t = z. Then 2 dt = dz  or, dt = dz/2 and  t = (z - 1)/2 .

Q: Find the radius of convergence, R, of the series. (x - 10)" n R = 10 ∞ n = 1 I = Find the interval,…

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Q: Find the radius of convergence, R, of the series. R = 00 Σ n = 2n(ln(n))² 4n I = X Find the…

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Q: A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant…

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Q: d) y" - 5y" + 2y + 8y = 0, y(0) = 2, y'(0) = -1, y" (0) = -5

A: We are given the linear differential equation with constant coefficients in both initial value…

Q: Solution:- Given H(jw) -(4+jw) 6+5jw-w² It Can rewrite as:- (jw+4) 6+ (jw)² + 5jc (jas+ 4) -1 (jw+3)…

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Q: 1) A rocket will carry a communications satellite into low Earth orbit. Suppose that the thrust…

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Q: If f and g are polynomial functions in one variable, then c3 ƒ²₂ ƒ³ 8ƒ(³) tan¯¹(g(x))dydx = | -2

A: We need to check whether the following statement is true or false. If f and g are polynomials in one…

Q: Let f(t) be a function on [0, ∞). The Laplace transform of f is the function F defined by the…

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Q: Find the radius of convergence, R, of the series. xn R = 8 n = 1 135... (2n-1) Find the interval, I,…

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Q: Find the radius of convergence, R, of the series. (x - 10)" ∞ Σ n = 1 R = 10 Find the interval, I,…

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Q: Maximize Z=150x1+125x2+95x3 Subject to Assembly Inspection Packaging D 3.5x1 +2.75x2 +1.25x3 <= 150…

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Q: 5. Krypton-85 is an inert radioactive noble gas with a half-life of approximately 10.76 years. a.…

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Q: Find the radius of convergence, R, of the series. R = 8 Σ n = 1 I = xn 1.3.5. .... (2n-1) Find the…

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Q: i) ii) (P V Q) ^ -(P AQ) (P Λ Ο ^ R) V (P ^ →Q ^ R) V (Ρ ^ ¬Q ^ ¬R)

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Q: Verify Stokes' theorem. Assume that the surface S is oriented upward. F=3zi−5xj+2yk; S that portion…

A: Stokes theorem  ∫CF→.dr→=∫∫S∇×F→.dS→Where  S be a surface  bounded by a  closed, smooth boundary…

Q: 8 A ITI system is described by the D.E. y +6 Y+8y=2X (+) find h(t), then find y(t) if X(t) = te²t…

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Q: Write an equation for the transformed logarithm shown below, that passes through (3,0) and (0,3) -5…

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Q: 3. dx/dt = x + y², dy/dt = x+2y Transcribed Image Text: 3-dx/dt = x+y², dy/dt =x+2y (a) Determine…

A: Given system of differential equation is dxdt=x+y2dydt=x+2y Let f(x,y)=x+y2g(x,y)=x+2y Solution a:…