If p is the length of the perpendicular from the origin to the X y 1 1 line += 1, then prove that + a 2 a² b²

Q: Suppose A₁, A2, ..., A30 are thirty sets each having 5 elements and B₁, B₂, ..., B₁ are n sets each…

A: Given that A1, A2, . . ., A30 are thirty sets each having 5 elements and B1, B2, . . ., Bn  are 'n'…

Q: A line OP makes equal angle with coordinate axes then find its direction cosines

A: Sol

Q: Find the part using the multiplication shortcut. 9% of 140 ft

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Q: 22. Given vectors C = 5î - 2ĵ and D = 3î + 4ĵ, find: a. the projection of vector Conto the x-axis…

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Q: In the beginning of this question, the conversion of the surface area to dm units resulted in 1.8 x…

A: The conversion of the surface area to dm units resulted in 1.8 x 1016 dm2.  We know that  One…

Q: Find the differential equations of the following primitives by eliminating the arbitrary constants.…

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Q: 4 Find the F. T. of the following Signals using <-2 2 2 differentiation prop. X(t) = 2 S (t+2) - 2…

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Q: Determine whether the differential equation (5x² - 2xy + 6) dx + (7y² - x² + 5) dy = 0 is exact. If…

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Q: Write the system of linear equations in the form Ax = b and solve this matrix equation for x. -2x1…

A: Here we have to find x1 and x2

Q: Angle of a line with the positive direction of the x-axis is 0 (0 is a cute). The line is rotated…

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Q: he idea of a large, stable middle class (defined as those with annual household incomes in 2010…

A: Given that  middle class shrank from 61% in 1971 to 51% in 2011. Since the decline in percentage is…

Q: k Q3: Solve the difference equation: y[k]y[k-1]+y[k-2] =) using Z transform.

A: What is Difference Equation: Any equation with a variable difference in it is a difference equation.…

Q: Apply Fourier transform, jw F(w) = F₁ (w) + F₂ (w)...... equation 2 F₁ (t) = −8(t + 2) +…

A: Sol:-

Q: If the roots of the equation a(b-c)x² + b(c-a)x+ c(a - b) = 0 - are equal, show that 2/b = 1/a +…

A: What is Discriminent: The discriminant of a higher degree equation in one variable determines the…

Q: list the numbers (in base 10) that are in the set F(2, 2, −2, 2).

A: Here we need to list the numbers (in base 10) that are in the set F2, 2, -2, 2. Base 10 numbers: In…

Q: If the roots of equation x² - 2cx + ab = 0 are real and unequal, then prove that the roots of x²…

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Q: Consider the system: f(x, y) g(x, y) (2₁.1₁) HABE x = y + 1 = 0 2 =y=x²-1=0 DERE or x₁ = 1.1 and y₁…

A: Partial differential equation

Q: 1 400 000 275 000 2 181 250 110 938 58 203 depicts the value (in Rands) of an automobile at…

A: Since there are multipart, so here find the solutions of part (a) and polynomial of part (b) and…

Q: Q5/: Find the general solution of non-homogenous differential equation using Variation of Parameters…

A: Sol:- y'' -5y' +6y=x2e-2xA second order linear, non-homogeneous ODE has the form of…

Q: Find the differential equations of the following primitives by eliminating the arbitrary constants.…

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Q: Let V=R². For (₁, ₂), (V₁, V₂) € V and a ER define vector addition by (41, 14₂) H (V₁, V₂) := (U₁ +…

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Q: Find the equation of the line which is equidistant from parallel lines 9x + 6y-7= 0 and 3x +2y+6=0.

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Q: Name sets with cardinality (a) 365, (b) 12, (c) 7, (d) 11.5, (e) 0, (f) 1024. &#160;

A: Given: The cardinalities, (a) 365, (b) 12, (c) 7, (d) 11.5, (e) 0, (f) 1024. To name: The sets with…

Q: In Problems 1-6, find a vector equation for the line through the given points. 1. (1, 2, 1), (3, 5,…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: A division of the Gibson Corporation manufactures bicycle pumps. Each pump sells for $9, and the…

A: Given ,  Each pump selling price = $9  Variable cost = 50% of selling price  Fixed cost = $45000…

Q: Determine the equation of the tangent plane of the graph of the function f(x, y) = 3x²y-2y³ In the…

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Q: Q4:B/Simplify [cos 20-i sin20][cos 30+ i sin301² [cos 40+ i sin40³[cos 20-i sin2015 using De…

A: Given expression is cos2θ-isin2θ8cos3θ+isin3θ2cos4θ+isin4θ3cos2θ-isin2θ5 We know by De Moivre's…

Q: 1. Find the residues of the following functions at the given points using Laurent series expansion.…

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Q: If the roots of the equation x - 8x + a² - 6a = distinct, then find all possible values of a.

A: Since the roots of the given equation are real and distinct, We must have…

Q: Q1:/Verify that the given function is harmonic and find it is harmonic conjugates so that f(z) = u +…

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Q: 1. Consider the system of equations 421 +172 823 = -307 1+ 422-42x3 = -73 -321-16x2 + 723 = 286 (a)…

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Q: Find the sum of the degrees of the vertices of each graph in Exercises 1-3 and verify that it equals…

A: We know that, Degree of vertex is the number of edges passing through that vertex. We need to…

Q: In a group of 500 people, 350 speak Hindi and 300 speak English. It is given that each person speaks…

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Q: Describe some applications of association rules in detail.

A: In this question,  we have to describe some applications of association rules.

Q: Question (10) Give an example of a discontinuous function f: R → R having the property that for…

A: Follow the steps.

Q: 6a. Suppose that B is a basis of V. Decompose it as a disjoint union B = B₁ I IIB₂ of non-empty sets…

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Q: Angle of a line with the positive direction of the x-axis is 8 (8 is a cute). The line is rotated…

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Q: Write 1 true and-1-false for your answer. Let A= Answer: (13) B-(23) 0-(63) (37)- C= , Is a linear…

A: We need to see if the given matrix  is a linear combination of matrices A,B,C Now,…

Q: Greg claims: The negation of "Chandra is taller then me" is not "Chandra is shorter than me".…

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Q: Abhinav obtained 65 and 80 marks in first two unit tests. Find the minimum marks he should get in…

A: Abhinav obtained 65 and 80 marks in first two units tests. Let x be the marks obtained by Abhinav in…

Q: Apply Fourier transform, jw F(w) = F₁ (w) + F₂ (w)...... equation 2 F₁ (t) = −6(t + 2) +…

A: What is Dirac Delta Function: The unit impulse, sometimes referred to as the Dirac delta…

Q: 2.) 98-8 s² +248

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Q: Find the linear factors of 2x²-y-x + xy + 2y - 1.

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Q: а a y = 1.20 (+0.02) x Absolute standard deviation = Coefficient of variation = Result =…

A: Given : y=1.20±0.02×10-8-3.60±0.2×10-9 To Find :  i Absolute standard deviationiiCoefficients of…

Q: How many real solution the equation have? x^5+x=1

A: Sol:- Let's find the solution of the given equation:- x5+x=1x5+x-1=0Find one solution for x5+x-1=0…

Q: What kind of surfaces are the level surfaces f(x, y, z) = const? f = 4x - 3y + 2z

A: As per the question we are given a trivatiate function : f(x, y, z) = 4x - 3y + 2z And we have to…

Q: Is this a possible way to show that f(x) = arctan(2(x-1)) - lnIxI has exactly four real roots?

A: What is Rolle's Theorem: Rolle's theorem is the base of mean value theorem. More precisely, the mean…

Q: 9. Two dice (black and white) are rolled. Test if the following events are independent: A: Black die…

A: In independent  case we know that  P(A intersection B ) = P(A) x P(B)  So A and B are independent .…

Q: 03/: Find the area over the region R that lies inside the cardioid r=1+cose and outside the circle…

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Q: C-1 Q3. L-¹ In (a) (b) (c) (d) s² +4 S 2 sin 2t - 2 t cost - 1 +4} t 2 cos 2t - 2 t 2 - 2 cos 2t t

A: Inverse Laplace transform