4. Solve the inequality. Express -5(x-3) ≥ 3[7-(x+7)]

Q: 43 If y³ - y = 2x, then prove that 2 Hence, show that x² - 1\d²y 27 dx 2 +x d²y 2 dx² dy 1 = -y. dx…

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Q: Solve the given initial-value problem. X(t) = -1-2 × = (-¹-²)× + (2), ×(0) - (-²) X' X 3 4

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Q: please sir solve parts  1 and 2, thanks alot sir

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Q: QUESTION 3 Use polar coordinates to evaluate the double integral [[2ydA. R is the region in the…

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Q: 2 Iƒ ƒn(x) = efn−1(x) for all ne N and fo If d nd {ƒn(x)}. dx

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Q: Find the general solution of the given system. dx dt dy dt (x(t), y(t)) = = 4x + y = -2x + 2y e³t C₁…

A: Note: As per our Guidelines we can solve first question.Please repost remaining questions.

Q: 3. |If x1 = [1,2,3,4]'; and x2 = [2,2,2,2]'; then what is y = x1¹*x2?

A: The given vectors are, x1=1,2,3,4' , and x2=2,2,2,2'. To Find: y=x1'*x2.

Q: 9. Find the next two numbers in the sequence. Then classify each sequence as linear growth,…

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Q: Problem 1. 92x² + (a) If A is diagonalizable, that is A = ODO¹. Assume a polynomial f(x) = ao + ₁x +…

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Q: len ([4, 5, 6])

A: Given: len4,5,6 To find: Value of the given expression.

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Q: Evaluate the integral [] exp(-5x² − 2xy − 5y² + x)dxdy R2

A: The rule for a Normal density function is fx,μ,σ2=12πσ2e-x-μ22σ2 where the mean of the distribution…

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Q: Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (5t + 8)i + tj, 0 ≤t≤1

A: A line integral is used to find the integral of a function over the vector function. Line integral…

Q: + tan dy 37 Ify = tan -1 -1 1 2 x +5x+7 1 2 1 2 1 2 x² + x + 1 +... to n term.

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Q: -3t L {4e-³¹ - 12t} = 4 Select one: 4 60 0 16 True O False Give your reasons ₂-(s-3)t dt - 12 1 test…

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Q: Q. 4 Use Secant Method after two iterations to find the root of: f(x)=x³-20 Taking Xo 4 and x₁=5.5…

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Q: the sequence a1, A2, A3,... Ans. is an A.P., then prove th 2 n ²-a² + a²-a²+ + a²n-1-a²n -(a₁ - a₂n)…

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Q: 4. Let A = [¹]. Show that A can be diagonalised.

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Q: Consider the matrices A = 3 -10 26 (= 60-4 0 1 -2 52 1 -4 0 0 4 4 -2 -1 5 1 and 2 Suppose that A is…

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Q: 44 If 2x=y¹5+y-1/5, then express y as an explicit dy = 25 y. +x. dx function of x and prove that (x²…

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Q: 66 If a,, b, EN for i = 1,2, 3, then c e determinant; 1+x) a₁b₁ 1+ x) 0₂b₁ (1+x) a₁b₂ (1+x) 0₂b₂…

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Q: 5. Given f(x, y) = sin(xy) and that x = 3t², y = ts², and that s = ln(u + v), t = u¹². Draw the…

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Q: 1. Construct a Cayley table for the group of symmetries of a square, write each element as a…

A: "Since you have posted multiple questions, we will provide the solution only to the first question…

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A: According to guidelines i solve first 3 subparts of first question only. So kindly request you to…

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Q: 2. Find the rate of interest i such that a 20-year annuity with payments at the end of each year has…

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Q: 50. 01 103 01 10 32 22 232 54. 2 2 23

A: EIGEN VALUES ARE GIVEN BY, A-λI=0 WHERE λ ARE THE EIGEN VALUES. AND CORRESPONDING TO EACH EIGEN…

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Q: Let f, g: R→R be defined by f (x) = {4x + 1 , if x ≥0,    x , if x < 0} g(x) = {3x , if x ≥0 ,  x +…

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