If eleven A.M.'s are inserted between 28 and 10, then find the number of integral A.M.'s.

Q: If nc2=6c2+30c1,find the value of nc3

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Q: Show that the sequence log a, log (ab), log (ab²), log(ab³), .. is an A.P. Find its nth term.

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Q: 4. Find sinh(z − j)dã - fjz-1-3)=6 (2− 1)(2² + 1)²

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Q: onn -||-|

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Q: Select C or for the blank so that the resulting statement is true. {Friday, Saturday} {Monday,…

A: What is Subset of a Set: If every element of set A is also an element of set B, then set B is a…

Q: The number of X₁ + X2 + x3 + x4 + X5 + X6 = 12 is C(12+6-1, 12) = C(17, 12). True non-negative…

A: It is known that the number of non-negative integer solutions to the equation: x1+x2+x3+⋯+xn=k is…

Q: Which of the following is a particular solution? Ay=C₁e¹cos 2x+C₂e³sin 2x By=C(sinx - Inx)…

A: in the option A there are two arbitrary constants C1 and C2 the  general solution of a differential…

Q: From the values in the table given below, find the value of sec 31° using numerical differentiation.…

A: We have to find the value of sec310, using numerical differentiation.

Q: 1. Which of the following are not first-order separable differential equations? (c) x"" = 5t²x³ (f)…

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Q: Find the sum: 3 5. Check that ³0 (51) (3^4) = (²3) i=0 6. Check that Σ1-0 (1) (35;) = (¹4) i=0 7.…

A: We know that nr=n!(n-r)! r! and n!=n(n-1)(n-2)⋯⋯2·1.

Q: Solve the linear programming problem. Maximize z= 10x+10y subject to 10x+10y ≥200 10x-15y2-50 x+y≤45…

A: We will draw graphs of in equations to find solution region and then use corner point method to find…

Q: Find the sequence of the numbers defined by when n is odd an = n 1 when n is even en

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Q: A right circular cylindrical tank with radius 5 ft and height 16 ft that was initially full of water…

A: The volumeV of a cylinder is calculated using the formula: V=πr2h, where r, h are the radius, height…

Q: Q2/A company manufactures two types of typewriters electrical (E) and manual (M). The revenue…

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Q: Let A = M. (f) be the matrix associated with the linear map ƒ((x,y,z)) = (x-2y,y+2,0) relative to…

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Q: K A pension fund manager decides to invest a total of at most $40 million in U.S. Treasury bonds…

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Q: A generator having emf 100V is connected in series with a 100 resistor and n inductor of 211 Obtain…

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Q: Statement "A or B" "A and B" "if A, then B" "For all x, A(x)" "There exists x such that A(x)"

A: To find the negation of the given statements  :-

Q: (g) Let f(x) be an infinitely differentiable function on the interval [a, b]. Then the arc lenght of…

A: To State: True/false in the following statements. (g) If  f(x) is an infinitely differentiable…

Q: Graph the following function and then find the specified limits. When necessary, state that the…

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Q: Question 1 (a) Simplify  (√a)+(√b)(√a-√b) b) Hence show that 1/(√1+√2)+  1/(√2+√3)+1/(√3+√4) +⋯+…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: 1 Let R be the region in the first quadrant bounded between y = and y = 5. x-2' (a) Set up ONE…

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Q: In determining the coefficients c1, c2 and c3 such that a) c1a+c2b+c3d=cr Identify your conclusion…

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Q: ESTION 1 8-member ABC Alliance is being created to represent groups A with 5 thousand, B with 3…

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Q: (1) Table 1 gives the displacement of a vehicle from the starting position. Give the average rate of…

A: The average rate of change of displacement is obtained as, Average rate of change =change in…

Q: Select the characteristics of pattern constraints: are used when DVs represent quantities of a…

A: We know that A pattern constraint requires that a string attribute's value must match a certain…

Q: 8. When log y is graphed as a function of log x, a straight line results. Graph the straight line…

A: Given: The graph of log x as a function of log y is a straight line.  The points are x1,y1=1,20 and…

Q: 1. Let K = {a, b, c, d, e}. Find, for each part of the question, an example of an object that…

A: A non-planar graph is a graph, where the edges cross each other. We have a vertex set K=a,b,c,d,e

Q: Solve for the Inverse Laplace of: S-3 6 (s-3)²+9 (s-3)²+9

A: Given : Fs=s-3s-32+9+6s-32+9. To Find :Inverse  Laplace of Given function

Q: Let P(R) denote the vector space of polynomials with coefficients in R. Define 1. a function T: P(R)…

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Q: One of Poiseuille's laws states that the resistance of blood flowing through an artery is R = C/ 4…

A: It is given that the resistance of blood flowing through an artery depends on the length L and the…

Q: QUESTION 1 The coordinate vector of the vector (1.2.2) in the basis B=(u= (1,1,1); v= (1,0,1);…

A: What is Basis of a Vector Space: The set B of vectors in the vector space V is referred to as a…

Q: Show there is no proper five dimensional subspace of R^5. (i.e. If V is a subspace of R^5 with dim…

A: To Show: If V is a subset of ℝ5, with dimV =5 then V=ℝ5.

Q: This surface (dreamed up by Steiner while in Rome) looks smooth but is non-orientable, with the…

A: Given: The parametrization for the surface is given by σ(u,v)=x,y,z=sin2usinv,sin2ucosv,cos2usin2v…

Q: Example 3: Given f(x)=2x-1, determine f(f(x)) and f¯¹(f(x))

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Q: Consider the vector-valued function =-3x²y³x-3y²x³y and the three-dimensional region bounded by the…

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Q: QUESTION 1 The coordinate vector of the vector (1,2,2) in basis the B={u=(1,1,1); v = (1,0,1);…

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Q: How many different ways can you arrange the lefts in the word BRAGS? List them

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Q: Prove Theorem 1.9 from Theorems 1.7 and 1.8. Theorem 1.9 If f(x,y) has continuous first and second…

A: To Prove: f(x,y)=f(a,b)+fx(a,b)(x-a)+fy(a,b)(y-b)+R2(x,y), using theorem 1.7 and theorem 1.8 (given…

Q: Show that the sequence log a, log (ab), log (ab²), log(ab), .. is an A.P. Find its nth term.

A: Given sequence is loga, logab, logab2, logab3, ...

Q: In this question, you should round answers appropriately where necessary. (a) A hardware engineer is…

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Q: For each of the following proof excerpts, explain as fully as possible what the mathematical…

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Q: This question examines your understanding of spaces of polynomials and their bases. Please tick all…

A: Note: As per guidelines, I can do only three subparts of a question

Q: Newton's law of cooling the rate of temperature of body is proportional to difference between the…

A: The main objective is to explain the relationship between the rate of change of temperature and the…

Q: What was the average rate of change per minute during the first 30 minutes? (Round your answer to…

A: Given- A potato is placed in a preheated oven to bake. Its temperature P = Pt is given by the…

Q: (c) h(x, y) = 1 In(9x² - y2)

A: c Given function is hx,y=1ln9−x2−y2. We have to find the domain and range of the given function.…

Q: v(t) = a(t) v(t)| r(t) = 9 cos(t)i + 8 sin(t) j

A: Given, rt=9costi+8sintj

Q: If the matrix of change of basis form the basis B to the basis B' is A = 21 OA. (²) 08 (1) OC (2)…

A: Given information  The matrix of change of basis form the basis B to the basis B' is A=5221…

Q: "If it snows and we don't have school, then x3 < 0 implies x is negative". Do you think this…

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Q: You are in the middle of solving an augmented matrix with the Gauss-Jordan method and currently…

A: Given Augmented matrix is 1-240-232-3-3214 Here we need to convert the given Augmented matrix as…