Show that if 4, and A, are two events, then P(A₂)+P(A₂)−1≤P(44₂).

Q: Match each ODE with the graph of its response wave (in blue). T 1 ]y'' + y = 36(t - 2 ~ y'' + y =…

A: Given: Graphical representation To find: Match the ODE

Q: Q5:(A) Let R=(Z12,+12, -12). Find a) Maximal ideals of R b) Is (Z12, b) Is (Z12, +12) a +12) a has…

A: Solution

Q: * Use the Integral Test to evaluate the series for convergence. ∞ 1 Σ[nancy] n=2

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Q: Paul and Eric are playing squash, and Paul is determined to win at least two games. Unfortunately…

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Q: n someone explain how we get to the numbers 476,-84,-252

A: τ=8428282884282828840.008-0.002-0.005×109 Pa

Q: Find a non-zero vector V in the row space of the matrix -20 4 0 -9 -3 12 -5 0 25 -12 -4 16 V

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Q: Find the mass of a plate bounded by arch of the curve y = sin x, and the x-axis, if the density…

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Q: Show that the fractional parts of a given sequence {annz1 is uniformly distributed if and only if 1…

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Q: 2. Find the volume of the solid generated when the region enclosed by the curve y = x² + 1, y = 4x −…

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Q: ID: Name: - Q1- Use linear convolution to find and plot the system output of an LTI discrete time…

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Q: Consider the ordered bases B = ((5,-9), (-1,2)) and C = ((3, 1), (-4, 3)) for the vector space R².…

A: Note: According to our guidelines we can answer only first three subparts

Q: Complete the table of values below. Then, sketch the graph of r = 2 - 3 cos 6 in polar ㅠ 즈 2m 3m 5л…

A: Graph Tracing and polar curve.

Q: 2. 3. log₂ (2x² – 3x)= log₂ (12− x) (log x)²-log x-6=0

A: Quadratic equation: Let us consider the equation ax2+bx+c=0 The solution of the equation is…

Q: 26) Let f(x)=x²e-². For what value(s) of x does f(x) have a horizontal tangent? (a) Find the linear…

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Q: Q1: Solve ýex+y 2 = cosh x + √√cosh² x − 1 + 7e*

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Q: 12 A function is defined by f(x)=2-- for -7≤x≤7, x=-5. x + 5 (a) Find the range of f. (b) Find the…

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Q: 2.a) Apply the Trapezoid and corrected trapezoid rule, with h = 1, to approximate the integral 1 dx…

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Q: (27) Evaluate the integral: 1 (5t+4)2.7 dt

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Q: If (a + ß)A ≤ αA + ßA then A is Subset of vector space Option 4 Option 1 Subspace

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Q: 4. A. 23.4 8 A. 2 27+5 B. 25n-1 C. 45n-3 D. 88-1 5. Which of the following equation represent the…

A: x=k will be a vertical asymptote if the functional value y=f(x) tends to infinity. That is the curve…

Q: Solve the following equations: 2 x³ = 49 3*.27*=9 √5*=25(x-1) d. b. log₂ (6x-4)=-1 28=2(5*)

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Q: S f(x,y)dA It posits only in the region bounded by; the x-axis, y - 2 = 0, www y + x - 5 = 0 and x =…

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Q: Place the numbers 2 to 10, inclusive, in the magic square so that the sum of the numbers in each…

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Q: 1. There is no simple group of order 200.

A: Solution:-As per guidelines I submit first question only

Q: Given IVP y'=t-t²y, y(0) = 1, 0≤t≤ 1.8, N=3. The value of y(0.6) using Runge-Kutta of order four is…

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Q: What is integration?

A: We have to define the term integration. Integration:- The antiderivative of a function fx is called…

Q: use the contrapositive to prove: for all x in the positive real numbers, if x is irrational, then…

A: Proof: Assume the negation of this statement: x^2 is irrational and x is rational. (Keep in mind…

Q: The set B=(3+2x², 12+2x+8x²,- (29+6x+20x2)) is a basis for P2. Find the coordinates of p(x) = 8 + 4x…

A: Solution :-

Q: I = π/3 π/4 csc? xd

A: Given,           I=∫π4π3-csc2xdx

Q: Before the election, you want to determine the number of possible president/vice-president…

A: Solution

Q: Let A be a Hermitian matrix with eigenvalues A1 A2 > An and orthonormal eigenvectors U₁,...,Un. For…

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Q: (B) Let I be a maximal proper ideal of commutative ring with identity R. Prove that R/I is a field.

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Q: aplace transform for L'" (ett (e4r + cosh 2t)dt

A: Laplace transform of the function

Q: Find the Laplace transform of t², -8+ 3t, g(t) = - (t-6)² + 2 cos (1-²), 6 0 2

A: Firstly using heavy side function to write the function and then  taking laplace transform .

Q: Use Laplace transform to solve the partial differential equation: d²u du du(x,0) = t> 0, 0<x<1,…

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Q: (21) Let y be a function of x. Find y'(x). Leave your answers unsimplified. (a) y = arcsin (arctan…

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Q: 1. Find the zero-divisors of Z6- 2. Let D be an integral domain. Show that if a E D such that a² = a…

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Q: Let Find a non-zero vector in the column space of A. A = -8 -8 12 -12 2 -2 -3 0 10 0 15

A: Solution

Q: Caitlyn sells her drawings at the county fair. She has portraits and landscapes and she is required…

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Q: The values of mass m, spring constant k, dashpot resistance c, and force f(t) are given for a…

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Q: Prove that given any constants a > 1 and b > 0, nº € o(a"). This shows that any exponential function…

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Q: Find the Laplace transform of 1. f(t) = ½ [1 − u₂π(t)](2 sin t — sin 2t)

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Q: Verify that the given functions are linearly independent by evaluating the Wronskian at a = 0. {ex,…

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Q: 2. Given the function_y=4log(2x+1)+3 . (a) State the domain, range and equation(s) of the…

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Q: 4 Find a sinusoidal function that matches the given graph. If needed, you can enter =3.1416... as…

A: solution:-

Q: PROBLEM Carry out the substitution in the improper integral 2 cos 0 = ei + e-i */2 *² log (2 cos 6)…

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Q: S Dari D₁¹ [23/15²] = tsint +

A: We have to prove that ℒ-12ss2+12=tsint.

Q: Using the stability criterion by means of bilinear transform (Tustin), find if the system is it…

A: Given : F(z) = z4-z3+0.5z2+0.5z+0.5a0 = 1a1 =-1a2 = 0.5a3 = 0.5a4 = 0.5Finding stability :1. an =…

Q: What is the area of the rectangle 10in. 15in.

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Q: Find (2) and (7) at the point (w, x, y, z) = (48,1, -2,-2) if w=3x²y² + 3yz - 3z³ and x² + y² + z² =…

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