Prove algebraically that  A+A'B'=A+B'

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A: Given:   The per capita growth rate of many species varies temporally for a variety of reasons,…

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A: Given: y't=0.01y-b, y0=500 To find: (a) y(t) (b) Draw a graph of the solution when b=40 fish/ year.…

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Q: Find the orthogonal trajectory of the curves x² = cy³ passing through (1,4).

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Q: chap 12- 4 - please answer A

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Q: S= a₁ + a₂ + az S S 5-a₁ S-9₂ + ++ an, a; E R S n² > S-an n-1 to n, Vn22

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Q: QUESTION 1 Apply Green's Theorem to evaluate the integral. $ (6x + y3) dx + (3xy2 + 5y) dy Hint:…

A: We have to evaluate the line integral using the green’s theorem ∮(6x+3y3)dx+(3xy2+5y)dy

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Q: Find the first 3 iterates using x² = x + y² y(o)= o` Successive Approximatio

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Q: 1. Let J₁ = {0, 1,2,3} and define f: J₁ J₁ and g: J₁ J₁ by f(x) = (x + 3)² mod 4 and g(x)=x²-3x +- 5…

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A: The given family of curves is y=ln(x)+C, where C is the constant of integration. The objective is to…

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Q: 5. (Continuity with respect to initial conditions.) Let (t, xo) be the solution of the initial value…

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Q: 1. Based on the axioms of a vector space V over a field F prove the following: (a) If x, y z ¤ V and…

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Q: 10. Let A: = 0 k (4) 1 -1 Find all k E R such that lim A” is finite. 8个

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Q: The system of differential equations da 2x+y-5e-t, dt Select one: O has complementary function [1] =…

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Q: nsider the differential equation y" - 3y + 2y = 5t². (a) Find r1, 72, roots of the characteristic…

A: We have to solve the second order differential equation  y''-3y'+2y=5t2

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Q: Find the orthogonal trajectory of the curves x² = cy³ passing through (1,4).

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Q: I 9.5 f(x) 0.858375 Use three-point Midpoint difference formula to approximate f'(10). 10. 10.5. 1.…

A: Three point midpoint formula: f'(x) = (1/2h) ( f(x+h) - f(x-h) )

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Q: 2. If S = {v₁,...,Un} is an orthonormal set in an inner product space V, prove that for any x EV n…

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Q: Find the orthogonal trajectory of the curves x² = cy³ passing through (1,4).

A: Given that the curve x2=Cy3    the point 1,4

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Q: 5. Show that among 4 randomly chosen integers, there is always a pair for which the difference…

A: Any integer n, when divided by 3, leaves a remainder 0, 1 or 2. Thus, n is of the form        n =…

Q: (2) Find all critical points of the function f(x, y) = x² - 2xy - 2y³ + 4y. Use the Second…

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Q: Consider a function f with the following table of values: 3 4 5 6 1 -1 2 x 0 f(x) 4 Approximate f…

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Q: Consider the conditional/implication "If pancakes are fluffy, then waffles are crunchy or bread…

A: The logical symbol "∨" is used to denote "OR". The logical symbol "∧" is used to denote "AND". The…

Q: Let Z1 and Z2 be roots of the equation z + pz + q = 0, where the coefficients p and q may be complex…

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Q: then: 410100 -4 1 0 1 0 1 1 0 -4 0 0 -4 0 1 0 ⇒ Au = B. 110140 100004 -4 -4 2,27 U3,2 U4,2 U2,3 U3,3…

A: The given system is:…

Q: -6 1 3 0 1 1 002 (a) the characteristic equation of A A = (b) the eigenvalues of A (Enter your…

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Q: D 0 Question 27 The identity matrix In is similar to all invertible n x n matrices. True False…

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Q: Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x)…

A: We will use taylor series expansion  f(x) = fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+fiva4!x-a4+........

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Q: 39-44. Mean Value Theorem for Integrals Find or approximate all points at which the given function…

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Q: Find the orthogonal trajectory of the curves x² = cy³ passing through (1,4).

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Q: (a) A type of lightbulb is labeled as having an average lifetime of 1,000 hours. It's reasonable to…

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Q: A father puts Php550,000 in a savings account at a birth of his son, If the account pays 2.5%…

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Q: If a= (z-i)/(z + i), show that, when z lies above the real axis, a will lie within the unit circle…

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