Check picture 12, where do I plug the two lines ??

Q: 3. 4. 6.5. xcos y dx + taydy=o Obtain the G.S. (1+Lnx) dx + (1+lny) dy = 0 Obtain the

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Q: Example 7. Show that T: E2 → E2, defined by is not linear T((x₁, x₂)) = (x₁ + x2, x1 - x₂ +1)

A: as we now for a linear map T(01 ) = 02  where 01 is zero of domain and 02 is zero of codomain

Q: (a) Show that d(m, n) = |m²-n²| 1+ m²-n²| defines a metric on the set of natural numbers N. Hint:…

A: Given That: d(m,n)=|m2-n2|1+|m2-n2|   To Show : a) d  defines a metric on the set of natural number…

Q: Problem 2. Determine if b= 665 ----- -[1] = is a linear combination of a₁ = 216

A: Consider the given vectors, b=665, a1=12-3, a2=-3-41, and a3=216 Now, set up our augmented matrix…

Q: Intelligence as measured by IQ score = 136 is best described as O Nominal Ordinal O Interval O Ratio

A: To choose correct option for given question

Q: What is the output of the combinatorial circuit shown below? P 9 r pe (q^¬r) Opv (-q^r) O¬(p→ (q+r))…

A: Given is a combinatorial circuit.   To Find: The output of the given circuit.

Q: The measure of ZAOC is 90°. Find the value of x. A Br 3.x°-46% AC 14% 0

A: Consider the given diagram, It is given that ∠AOC=90°.

Q: 1. Express e² in rectangular form a) z = −1 + j T 4 b) z = π + jπ c) z = 1.5 + j2

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Q: (b) Find the equation of the sphere in R³ that has the diameter from A(1, 2, -1) to B(5,-2,0).

A: Part (b):- Given co-ordinates of diameter are  A1, 2, -1   to   B5, -2,  0.

Q: 3) Prove that : tan z = 올m (+롤) In

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Q: 5. Express the flowing quantities in rectangular form. a) sec(x + j1) b) cot(+j3) 2

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Q: b) Graph the following trigonometric function for the interval 0 ≤ x ≤2: y = 2 sin(x)

A: Sol:- Before plotting , some information about graph :- Periodicity of 2sinπx:  2Domain of  2sinπx,…

Q: 2. Prove that every element in a vector space has a unique additive inverse.

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Q: Let a = [1, 3, 5], b = [4, 0, 8], c = [-2, 9, 1]. Find: a. (bc), (a - b).c

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Q: For Exercise, use mathematical induction to prove the given statement for all positive integers n. 3…

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Q: What is the number of days in February in 1900?

A: February is a month that may have 28 days (when it is not a leap year) or may have 29 days (when it…

Q: Q1. Given the nonlinear equation x = Cos ¹(x²), find the: a. First root by bisection method

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Q: Find the roots of an equation f(x)= x^3-x-1 using four iterations of bisection method. Compute also…

A: Sol:-  f(x)=x3-x-1Here x 0 1 2 f(x) -1 -1 5 1st iteration :f(1)=-1<0 & f(2)=5>0∴…

Q: Let A = {a,b} and B = {{a}, {b}, {a,b}}. Which of the following are true? OA CB ОА Е В OAN BA OAUB B…

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Q: For the function A whose graph is shown, state the following. (If the limit is infinite, enter 'o'…

A: If x approaches a from the right hand side, then it can be denoted using the limit: limx→a+. If x…

Q: (-1)³ 3j² + 5j

A:

Q: Which of the following sets are equal (select all that are equal)? a. {x € Nx² > 0} b. N c. {x € Zx²…

A: To identify which of the give sets are equal.

Q: Let P(x)=20x*-7x³ be the Lagrange interpolating polynomial that approximates a function f over the…

A: Given Px=20x4−7x3 be the Lagrange interpolating polynomial that approximates a function f over the…

Q: 22 The line y = 2-2x cuts the curve 3x² - y² = 3 at the points A and B. Find the length of the line…

A: Straight line and hyperbola intersect at two points.

Q: Exhibit an explicit bijection between parking functions on [n] and rooted forests with n vertices.…

A: Given below clear explanation

Q: a.Determine whether the graph below is bipartite b. Draw the graph of K4,4

A: Given: a) A graph  To determine: a) Whether the graph is bipartite. b) Draw the graph of K4, 4.

Q: Show that topologically completeness is weak hereditary property.

A: In this question, we have to show that completeness is a weak hereditary property.

Q: 2 Let CCR² be the circle with radius 6 centered at the origin. Let F : R² → R² be the vector field…

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Q: Consider the quadratic function Ga+ba in four variables, where 2 -1 -1 2 --(-:-) -1 -1 2 -1 -1 G = 2…

A: As per the question we are given a quadratic function in four variables as : (1/2)xTGx + bTx Where…

Q: A refrigerator with a list price of $1700$⁢  will be discounted 25% at the time of purchase. What is…

A:

Q: Q4:A) Let X = R and T be the topology on R generated by the set {(a, b]la, b E R, a <b}.Determine…

A: Given: Q4: A) X=ℝ and τ be the topology on ℝ generated by the set (a, b] | a, b∈ℝ, a&lt;b. To…

Q: 3. Express the principal value of 1n z in rectangular form. a) z = -5 b) z = -2 + j2 c) z = √2 + j√6…

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Q: Q4: For Figure1, explain the difference in the output if you share the object by shx-2, and scale…

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Q: Find the maximizer of f(x, y) = x² + y² subject to 2x + y ≤2, z ≥ 0 and y ≥ 0.

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Q: What is the likelihood ratio p(x|C₁) p(x|C₂) in the case of Gaussian densities?

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: 1. Use counting to determine the whole number that corresponds to the cardinality of these sets. (a)…

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Q: Prove and illustrate by an example. V(fg) =fVg+gVf

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Q: Prove that F^S is a vector space by verifying all of the axioms in the definition of vector spac

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Q: You have three types of ground coffee: cheap ($5/pound), medium ($8/pound), and expensive Arabica…

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Q: The Wronskian for the fundamental Set of Solutions to the DE ty'" + 2y"-y'+ ty=0 is a) ct². b) ct^-2…

A: The given differential equation is ty'''+2y''-y'+ty=0. Rearranging this differential equation, we…

Q: Disposable income is the amount left after taxes have been paid and is one measure of health of the…

A: Let x is the number of years after 2000 Let  y is the total disposable income in billions of dollars…

Q: Give the 4x4 matrix that rotates the points in R about the z-axis through an angle of -30°, and then…

A: We have to find the 4×4 matrix that rotates the points in R3 about the z-axis through an angle of…

Q: 2. The limit of the following function equals: a. 0 b. 1 c. -1 d. None of the above answers x2/3 +…

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Q: Find a vector parametric equation r(t) for the line through the points P = (4, -3, 4) and Q = (3,…

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Q: Find the Laplace transform of F(s) = = f(t) = = t 5

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Q: Which of the following is equivalent to ¬(p ^ q)? O a. p ^ -q O o b. -p V-q О с. -р А-q Aq O d. -(p…

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Q: A group of three friends A, B and C wants to participate in a triathlon. They have to swims, runs…

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Q: 3. Prove that Ov=0 for every vector v in a vector space.

A: We have to prove that 0v = 0 for every vector v in a vector space.

Q: 1. Apply the the model function Gauss-Newton method to the least squares problem using xit x2 + t…

A: Given below clear explanation

Q: 1C. Triangle XYZ has cordinates X(-1, 3), (2, 5) and Z(-2,-3). Determine X Y Z' and X" Y" Z" if…

A: If the point: x, y is translated by the vector: ab, then the transformed point is x+a, y+b.