Explain in word what are the possible consistent and inconsistent system for 2 lines planes?

Q: A population grows according to the logistic growth model, with growth parameter r= 1.8. Starting…

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Q: Q4: Evaluate the surface area of the object obtained by rotating 1+ 1² dx x = √√√y +5, √5 ≤x≤ 3,…

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Q: 1. Find the solution of the given initial value problem. y’’+y=0,     y(π/3)=2, y’(π/3)=-4 topic:…

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Q: 7. Which of the following relations are true if x(t) is real? a) X(f)=X(-f) b) X(f)=-X(-f) c)…

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Q: Make z tu subject in the form of

A: Given x2a2-y2b2=1 Since we know that z=x+iy and z¯=x-iy then x=z+z¯2 and y=z-z¯2i

Q: Find the Product solutions of du 2) du 1 dx dy + -

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Q: 4. ) RJ&M Company manufactures furniture such as sofas and tables. In their current inventory, a…

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Q: are on a plane. If the plane also passes z = 1-5t Q6. The points A(3, 4, 2) and B(3, 7, 2) through…

A: (i) The equation of plane passing through the point A3,4,2.

Q: B. Re-write the triple integral *** following orders. 1. fff dydxdz 2. fff dxdydz dzdxdy as an…

A: Here firstly finding the curve using the limit then we saw that the region is the part of first…

Q: There are in2 in 7 ft2 Give your exact answer. Rounding is not needed.

A: 1 foot = 12 inches So, 1 square foot = 12×12 = 144 square inches. Therefore, 7 ft2 = 144×7 = 1008…

Q: Below is the partial order diagram of D42. What are the immediate predecessors of 14? 21 14 1 Select…

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Q: Q2. Determine if the integral 1 [Inxdx converges or diverges.

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Q: Solve the given differential equations: dy x3 1. = dx 2+y²

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Q: Evaluate the given function at the indicated points. (Write your answers in the form a + ib.)…

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Q: 1+ cos 0 3. For the identity 1 + sec 0 = : cos e a) Verify the identity for 0=210° using exact…

A: The given identity is 1+secθ=1+cosθcosθ. (a) Verify for θ=210°. (b) Prove the identity.

Q: (c) Show that if a <r < [b], then 1 2πi √₁₂ (z − a) (z - b) -dz a 'b' - where y denotes the circle…

A: First I introduce about Cauchy's Residue theorem: If f(z) is analytic function inside and on a…

Q: Is PA (QV R) logically equivalent to (P^Q) v (PAR)? O yes no

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Q: between three plants A, B, and C,

A: Given that a company has a contract to move 700 units of a product per day between three plants A,…

Q: Which line is the same as [x, y] = [1, -8]++[4, −3]? a) [x, y]=[2, 4]++[4, -3] b) [x, y]= [1,…

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Q: Q2

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Q: Question 3. Prove that L(e^)(«) = * & dt.

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Q: Which statement is logically equivalent to (P→Q) O (Q→P) OPAQ OPV¬Q O¬¬Q

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Q: Find the Product solutions 1) du du = dx ау

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Q: Determine whether the series converges using any appropriate test. Identify the test for convergence…

A: We use ratio test, root test and criterion for alternating series.

Q: Use variation of parameters method to find the following differential equations: (i) y" + 16y = 32…

A: Solution i:  Given differential equation is y''+16y=32sec(2x)           (1) Auxiliary equation of…

Q: find: de So 2-cose using sediment theorem

A: Solution :-

Q: 1. Find the Fourier series of the function f(x) = |x| which is defined over the range - T<x< πT.

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Q: Use Laplace transforms to solve the differential equation ,, Y +6y' + 13y = 0, given y(0) = 3 and y'…

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Q: 3. Convert the following Linear Programming problem into Standard LPP form. Minimize P = 5x1 - 10x2…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

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Q: Solve the differential equation (24xy + 40y²) + (8x² + 40xy)y' = 0 using the integrating factor µ(x,…

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Q: 1 1 40 50 60 70 80 90 100110 What points are outliers? OA. 49 OB. 101 OC. 84, 88, 101 OD. 88, 101

A: The given data points are 40,50,60,70,80,90,100,110. We have to find the outliers.

Q: 1 (a) Estimate the area under the graph of the function f(x) = from x = 0 to x = 5 using a Riemann…

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Q: For the two leaf rose r = 1 + cos(20) and cardioids r = 1 + sin(0) and r = 1 - sin() shown in the…

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Q: 6. Let D be a domain in C and let u: D→ R be a harmonic function. Suppose that there exists a point…

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Q: 8 10 L3.5 he inverse of the matrix A = 3. Find the values a, b, c and d. Please add your solution…

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Q: Given that a system of linear equations has the following augmented matrix: [1 2 -2 1 3 5 1 2 4 7 −1…

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Q: Check the two statements that are true according to DeMorgan's Laws. (P v Q) is logically equivalent…

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Q: ID: A lem 1. a) Algebraically solve sec²0-2 tan0 = 3. State the general solution to the nearest…

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Q: Q2. Using the following data, calculate the thermal conductivity of a 46 % solution of nitric acid…

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Q: * Q9 If y = cos(x + y)dx + (3y² + 2y + cos(x + y)) dy = 0, then M = cos(x + y), N = 3y² + 2y Ttue…

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Q: 4. Let f(z) = cosh z. (3) Show that f: S→ f(S) is ono-to-one.

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Q: Verify that the given function u is harmonic. u(x, y) = x² - y² The function u(x, y) has the…

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Q: What is the logical equivalent to the implication P→ Q O PV Q OPAQ O ¬QVP O ¬P v Q

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Q: Suppose R and S are relations from A to B. Must the following statements be true? Justify your…

A: Here I used counter example to show that the statement one is false and give the proof for statement…

Q: A quantity V with magnitude |V 6, 680 was measured to 4 significant figures. 2 Give an estimate of…

A: Given a quantity V with magnitude V≈6680

Q: 2.Find the solution to dy=x² - y², y(1) = 0 at x=0.5 by modified Euler Method dx using h=0.1 and h =…

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Q: If two systems of linear equations have different numbers of equations, then the two systems are not…

A: Two systems of linear equations are equivalent if and only if they have the same solution set. Now,…

Q: B/ The sprue leading into the runner of a certain mold has a length is 150 mm. The cross- sectional…

A: We will use Torricelli's theorem to find velocity of metal through the base of sprue .

Q: Verify that the indicated function y = p(x) is an explicit solution of the given first-order…

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