Problem is given: Find the equation of the straight line passing through two points (3, 9) and (4, 8). Does the point (5, 7) also lies on it?

Q: Express the following compiex numbers in tue standard form and also find its conjugate: V5 + 12i + V...

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Q: 2. If :|S1, determine the maximum modulus f(:) (a) f(=) =z-2z+3, (b) f(=) == +z-1, (c) f(=)3= :+1 2z...

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Q: USing Inverse find Particular Solution of Differen tial ofera tor to 9 -48= Cosh (2X -1) + 3

A: We use following formula while calculating particular solution using inverse differential operator  ...

Q: Show proof of the following. Provide all derivations used. 1. The coefficient of kurtosis of a norma...

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Q: bers as a power o

A: Given, the number is                             1024  

Q: 8. 4 sin(at +b), where a and b are constants.

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Q: Draw the graph of the periodic function f (t) =- t, t, 0 <t<T T <t <2 Tt. # IT - and find its Laplac...

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Q: Suppose nxn matrix A have n n deffrent eigenvalue M- Ce, e2... ex] is As Mooti Matnix and ee. ex is ...

A: We are given a n×n matrix A with its n eigenvalues and right eigenvectors. From that we have to prov...

Q: Use induction to prove the following workshop 19 ntn ="(n+1) 4 O Calc

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Q: odulo 26 Arithmetic this part of the project, we will learn what is arithmetic and linear algebra mo...

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Q: certain differential equation has the form f(x)dx + g(x)h(y)dy = 0. th none of the functions f(x), g...

A: We have to prove that given statement .

Q: An electronics retailer list the sales (in thousands) of certain products in three cities for the pr...

A: City 1's total sales = (76x220 + 73x346 + 61x126 +  66x1971)/1000 thousand dollars      = 179.75 tho...

Q: Question 1: Let A = [(0,6) U (7, 12) n(2,9): B= A\ ({1,2, 4} U (3, 5)) and C =BU{11,8}. Give an expl...

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since th...

Q: 1) In a metric space (M, d), show that both 0 and M are open sets in M. 2) In a metric space (M, d),...

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Q: 8. (a) 2e' (cos 3t – 3 sin 3t) (b) 3e-2 (sinh 2t – 2 cosh 2t)

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Q: Compute the subdifferential of f(x) = max(1-r,0), for r E Rn.

A: As per the question we have to find the subdiffernetial of the function f(x) = max (1-x,0) And we wi...

Q: Homework 4. Show that the following are metric on R": d,(x, y) = max1sisn |Xi – Yil ; d2(x, y) = E-1...

A: 1. d1(x,y) = max1&lt;=i&lt;=n |xi - yi|                  &gt;= 0 and      d1(x,y) = 0     =&gt; max1...

Q: 6. Taking the domain of discourse to be the integers, decide whether each of the following predicate...

A: Given: Predicates, a) ∀x∃yx+y=2 b) ∀x∀y∃zx-y=z2 c) ∀x∃y∃zx-y=z2 d) ∀x∃yx=y+3∧2x=y-6 To determine: To...

Q: 10. If the vector v = (2, 2, 1, 1, 0) is in the null space of [1 -3 2 2 -2] 4 A = -3 -10 1 -3 -2 4 [...

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Q: The Pl of differential equation (D +D+1)y = cosx is a) sin 2x b) sin x 1 cos 2x 1 sin 2x 3 c) d)

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Q: A housing society charges for à flat Rs. 16,00,000 cash or Rs. 5,85,500 cash down payment and three ...

A: cash price of the flat = rs 1600000 cash down payment = rs 585500 balance to be paid in instalments ...

Q: . If in a rectangle, the length is increased.and the breadth is reduced by 2 units each, the area is...

A: let the length of the rectangle be L units and the breadth of the rectangle be b units  so its area ...

Q: 28374757*183

A: We need to evaluate 28374757*183

Q: Given a natural number c ∈ N. The relation Rc is defined as follows: ∀ a, b ∈ N :  (a, b) ∈ Rc ⇔ (∃...

A: According to Bartleby guidelines , i can give answer only first three subparts of your problem. I ca...

Q: – y² and consider the vector field F Consider two distinct points P1, P2 on the surface S. Find the ...

A: As per the question we have bto find the value of α such that the line integral of F about curve C1 ...

Q: 1. A small town has only 500 residents. Must there be 2 residents who have the same birthday? Why? 2...

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Q: Q. 17. A hollow cone is cut by a plane parallel to the base and the upper portion is removed. If the...

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Q: The object shown in the figure is axially symmetric and its curved surface is described in cylindric...

A: The given problem is to find the volume of the given surface described in the cylindrical coordinate...

Q: 2x+5 x-1 Solve for the values of x in 323*2 = 411x+24 and in %3D %3D

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Q: 7. Let G be a group of order 45. Then (a) G has an element of order 9 (b) Ghas subgroup of order 9 (...

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Q: Consider the differential equation ay?dx+3xy dy=0, with a real constant. If u(x,y)=xy is an integrat...

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Q: A. Determine whether the graphs of the following are continuous or not. Write yes if it is. Otherwis...

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Q: Q5) Answer true or false for the followings: i) in triple dot of vectors (A x B). C = (B × A).C, whe...

A: Cross product of the vectors

Q: The Particular solution of the boundary value problem (D +4)y = 0, with y(0) = -2, y = 0 is 2 %3D %3...

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Q: y'=loga (Zy -4y +5) %3D by U =Zx-4y +5 7(2)

A: If we want to change the variable of the differential equation for find solution easily from previou...

Q: Perform the Laplace transform of the F(s) column then substitute the value t=O and select the approp...

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.) ...

A: Given S={ s1 = (2,-1,3),   s2 =(5,0,4)} a) To write (-1,-2,2) as linear  combination of s1 and s2

Q: Which of the following does not denote a set?   a. N={x|x≥0} b. S c. {1,2,3} d. 2R3

A: "Since you have asked multiple question, we will solve the first question for you. If youwant any sp...

Q: トー 9 6. -1 一 -2

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Q: Discuss the consistency of the following system of equations.  X+y-2z+3w=0 , x-2y+z-w=0 ,4x+y-5z+8w...

A: To examine whether that given system of equations is consistent or not. x+y-2z+3w=0 x-2y+z-w=0 4x+y-...

Q: Homework Finite differamce AR-お49

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Q: - The following integral can be evaluated only by reversing the order of integration. Sketch the are...

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Q: 2. If :<1, determine the maximum modulus f(:). (a) f(=) =z -2z+3, (b) f(2) == +z-1, (e)

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Q: (a) Students in school A and school B took a standardised math exam. The lowest possible score is 0;...

A: Given:   Students in school A and school B took a standardized math exam. The lowest possible score ...

Q: Let A C R" be a convex set. In Week 4, we have learned the following definition for quasi-concave fu...

A: Given that A⊆ ℝn is a convex set.  Consider the following definition for quasi-concave functions: De...

Q: Allison wants to pay off the loan on her jet ski that she has owned for 18 months. Allison's monthly...

A: Given,  Allison's monthly payment is $284.67 Loan duration :- 2 years (24 months)  Annual rate :- 8....

Q: H-w find the vector whosp Leng th is 10 and Sum of it's components is uinimum?

A: Here first we form a function f that should be minimised and a condition g=0 which is followed by th...

Q: (3.1) Consider the following differential equation 6x + 7y + 53 4x + 3y + 27 A change of variable th...

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Q: Verify Stokes' theorem for the vect or field F = zi – 3rj + 2zk, where S is the surface z = 1- 12 - ...

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Q: we can find the different cycle types of S3 and classified the 6 permutations of S3 accordingly. Wri...

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