our charges are located at the corners of a square, as shown. What are the magnitudes and directions of the forces on each comer? 92 = -10 μC 91 = -10 μC 0.10 m 44 = +5.0 μC 0.10 m 0.10 m 0.10 m 93 = +5.0 μC

Q: You have $100 and need to buy $100 items. Item 1 costs $1, Item 2 costs $5 and Item 3 costs $0.05.…

A: We will first form the system of equations from the given information then use Gaussian elimination…

Q: Use the Picard-Lindelöf Theorem to identify and sketch the largest possible region R on the zy- lane…

A:

Q: sin √ dx, n=6

A: As per our company guideline we are supposed to answer only first  qs, kindly post remaining qs in…

Q: Let g be a differentiable function of two variables, with first variable x and second variable y,…

A: Let us consider the given function f(x,y) such that x=g(u,v) and y=h(u,v) Then, ∂f∂u,∂f∂v is…

Q: 7- A person has three rate options for taking out a loan: a, b or c. Which one should he choose?…

A:

Q: d) If a b and cld, then (ac)| (bd). e) If a b and cld, then (a + c)(b + d).

A:

Q: Test the following schema for validity (pq) (qvp) (a) (e) (pqvr).(-pv q)

A: To find- Test the following schema for validity (a) p⊃q ⊃ q ∨ p (e) p⊃q∨r∙-p∨q      Concept Used-…

Q: The graph of y 2,10) -2 10 -9 -8 7 6 5 -4 -3 (-2.2) 0 -1- --2 -3- D Sama 1 2 f (x) is shown in the…

A:

Q: Give an explicit increasing linear bijection from the interval (a, b] (a < b) to (0, 1]. i.e. your…

A:

Q: Solve the following differential equations 1. = ²+2x+1 dx 2. x² + sinx - y = 0 dx dr 3. +rtan0 =…

A: Let us consider the differential equation dydx+P(x)y=Q(x). To determine the solution.  Find the…

Q: K The drama society members are voting for the type of play they will perform next season. The…

A:

Q: 22. Show that if F₁ and F₂ are primitives for f: G → C and G is connected then there is a constant c…

A: Given : F1 and F2 be the primitives of f : G→ℂ, where G is connected. To show : There is a constant…

Q: {x/x€N and 70 < x < 80}

A:

Q: Solve the following LP Maximize $4x + $5y Subject to            4x + 5y ≤ 72…

A: To Solve: The following LP: Maximize $4x + $5y Subject to            4x + 5y ≤ 72…

Q: a. Find the average rate of change for the function between t = 2 pm and t = 4 pm on 9/18. b. Find…

A:

Q: and behave according to the familiar rules of algebra. For each of the following sets of real…

A:

Q: a) log, 6 b) log, 3

A:

Q: 7.Solve the following: -4ury + 4 Ugy =xfor-∞o < x,y<∞

A:

Q: Find a basis for M2×2(R), the vector space of 2 × 2-matrices. Since M2×2(R) and P³(R) have the same…

A:

Q: Determine which of the vectors Give their coefficients whenever 1-81-31 16 5 2 [23] 0 1 possible.…

A: Let us solve the given vector space problem in the next steps.

Q: Problem 24. Describe the subspace of R³ (is it a line or a plane or R³?) spanned by (a) the two…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Question 9 For what value (s) of x will define the set {(1,1), (2,8), (x,27), (4,64), (5,125)} as a…

A: Solution : Given that the set1,1 , 2,8 , x , 27 , 4,64 , 5,125

Q: Write the solution set of the given homogeneous system in parametric vector form. 4x₁ +4x2+8x30 -…

A: The given system of equation is 4x1+4x2+8x3=0-12x1-12x2-24x3=0-4x2+8x3=0 Write the equation in…

Q: Let f(x) x+8 Give exact answers (not decimal approximations). Find the values of a where f'(x) = 7.…

A:

Q: b) y" = y + e²t cost;

A:

Q: So what is the answer here!

A: Solution: The given definition of S suggests that,  If a &lt; -1, then S(a) = 1 If -1 ≤ a &lt; 1,…

Q: In Exercises 1-6, graph the given equations and determine how many solutions the system has, if any.…

A: 3. The given system of linear equations, 12x-34y=06x-9y=0  We have to sketch the graph of the…

Q: A train travels along a set of tracks according to the function s(t)=r-121² +45r+ 4 for r 20, where…

A:

Q: The matrix that rotates the x-y plane by an angle is [cos - sin 0 A(0) cos Ꮎ sin 0 1(0₁)A(0₁₂) = A…

A: Introduction: If the number of columns in A equals the number of rows in B, then A and B's product…

Q: 2) Describe the level curves of the surface Z = √36 4X² 9Y²

A:

Q: 1. Find a parametric equation of the plane passes through the points (1,1,2), (2,1,1) and (1,3,0).…

A:

Q: If f(x) = f'(x) = f'(1) = 6x + 2 7x + 2 find: 2 (7x + 2)² 28 (7x+2)³ X

A:

Q: Recall that solution sets that are completely enclosed are called bounded, and sets that extend…

A:

Q: Prove or disprove f(n) + g(n) = O(max(f(n), g(n))).

A:

Q: Prove that a group of order 175 is Abelian.

A:

Q: '-x+b, f(x) = { 1, if x −3(and x ‡ b) −3, For what value(s) of b does f have a jump discontinuity at…

A:

Q: Find the percent error in the estimate compared to the actual amount of soundproofing material…

A: We meed to find the percentage error for the sound proofing material  Given  Actual soundproofing…

Q: find the invertible model matrix P and show that P-¹AP = D where D is the diagonal spectral matrix.…

A:

Q: 2. Prove the following proposition by induction. Proposition. For any natural number n with n 23, we…

A: Explanation of the answer is as follows

Q: 3. Draw the level curves of the following surfaces; at least three levels. ● z x-y² = 0 • z-x²-2y² =…

A:

Q: A well-known result from ecology and evolution is the species-area relationship, which says that the…

A: Given,             Area = 0.33             Island B = 1/10 (A)

Q: You would like to have $1,000,000 when you retire in 35 years. How much should you invest each…

A:

Q: (a) Of the 7 new programmers hired by a software company, 4 will work on web applications, 2 will…

A: It is given that, 7 new programmers hired by a software company out of which, 4 will work on web…

Q: Are the functions v(x) = x + 3 - and b(x) = - x-2 Blank 1 Add your answer 2x + 3 Blank 1 Add your…

A:

Q: 3dx − (3xsiny + 2ysiny - 2) dy = 0 -

A:

Q: Solve the system by any method. 50. y = 2 y = 4 2x + 3y = 9 3x - 2y = 6 x - x +

A:

Q: Let A 0.5 -0.5 0.5 -0.5 0.5 0.5 0.5 0.5 . Note that the columns of A are orthonormal (why?). (a)…

A: Given  A=0.5-0.50.5-0.50.50.50.50.5b=2131 AT=0.50.50.50.5-0.5-0.50.50.5 Here We need to find the…

Q: g(x) = Og(x) = O g(x) = Og(x)=√x+1 √2-1 1 ₂ VI √x+1 T+1-1

A: A graph of the function fx=x is given. Also, the graph of g(x) is given. To find: The algebraic…

Q: What is the homogeneity and degree of the following differential equation?  (x + y + 1) dx + (2x +…

A:

Q: -2 -3 6 7 14 17 - 18 46 110

A: The given matrix is -2-3-186746141710