Let Aj and A2 be basic subsets of X i. Is Aj U A2 a basic subset of X? ii. Is A N A2 a basic subset of X?

Q: x3 – 2x2 – 5 = 0, [1,4]

A: With the help of bisection method we find the root of the equation.  In this method we find a…

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Q: (a) Give an example of a continuous function whose derivative does not exist at x = 0. (Hint: this…

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Q: 12. Which of the following shapes is the missing section? 1911 GIO C ? A B c D

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Q: Problem 6 This extreme value problem has a solution with both a maximum value and a minimum value.…

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Q: - 0.2 t N=N,e

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Q: Find the following inverse laplace For simplification, you can use x = 22

A: Given that,Fs=xssx-s-xThe given value of x is 2Substituting x=2 in the given function, we…

Q: The length in meters of the four sides of a building are 3x, 6x - 5, 9x, and 4x + 1. (a) Calculate…

A: (a). Add 3x, 6x-5, 9x and 4x+1 to calculate the total length around the building.…

Q: Use disk's (washer's) method to set up the integral finds the volume of the solid obtained by…

A: This is a problem of the volume of rotation.

Q: Describe how to find the inverse of a one-to-one function. Choose the correct answer below. O A.…

A: We want to find the true option.

Q: 1. sin 3at where a is any positive constant and s > a. 2. - (e-t - e-t) st – 3. (1 – cos 2wt) where…

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Q: Find the exact arc length of the curvex = + 2) from y = 0to y = 5. Enter the exact answer. L =

A: Given curve: x=13y2+232 To find: Exact arc length of the curve x=13y2+232 from y=0 to y=5.

Q: Q1) Write True or False for the following: 1. To optimize the profit for a certain company we…

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Q: Oues: Solve:- min flx,,) = (x, - 1)*+ Cn3- 1)? Subrected to n, +22=4 X,ー-2 き6 Hint : Convert to…

A: Given that,minx1, x2fx1, x2=x1-12+x2-12Subjected tox1+x2=4x1-x2-2≥0The minimum of the given function…

Q: Let X be the graph of f(r) = r/ given below that is, X is the subset of R x R satisfying the given…

A: Sol

Q: B. Find the value of x and y given that; - 5 S = 2 x 3 1 6 (a) R = 3R + S = 4 2 y -1 8 1.

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Q: . Use the surface integral in Stokes' Theorem to calculate the circulation of the field F around the…

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Q: Find the volume of the pyramid with base in the plane z = -9 and sides formed by the three planes y…

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Q: 4. f(t) = e-5(t'+2t²+t)

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

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Q: After depositing an initial amount of $17,000 in an account that eams 7% interest compounded…

A: Given,Annual Rate of deposits=2800-400tInitial amount(P0)=$17,000Rate of interest,r=7%To find: a)…

Q: The flat surface shown is submerged vertically in water. Find the fluid force against the surface.…

A: Given that,A flat surface is submerged vertically in water as shown.Weight density=W=9810 N/m3Length…

Q: Question no. 1 Find the possible flows in each of the following networks of pipes. 600 500 X4 600…

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Q: Find the roots of the following nonlinear equations. Note: Only one root is needed to find. 9. Find…

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Q: For each of the following matrices A find a basis for the solution space S of the homogeneous system…

A: Basis for a solution space of the matrix

Q: Let the function ƒ : [0, 1] →R be defined by { if x = ! (n = 1, 2, 3, · · · ) f(x) = n 1– x2…

A: Given :  f : [0, 1] →ℝ  defined by ;              fx = ex2,if  x=1n    (n=1, 2, 3, ...…

Q: Evaluate the upper and lower sums for f(x) = 1 + x2, -1sx< 1, withn = 3 and 4. Illustrate with…

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Q: Count the number of graphs that have the degree sequence 2,2, 2, 2, 2,1,1.

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Q: AlLAnswer true or false , (five only ) ( All (-1)" 1 1. n=0 n! If lim an = 0, then an converges. 2.…

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Q: Choose the suitable substitution for the method of reduction of order to find a second solution y2…

A: Given differential equation is y'' + 11y' + 18y = 0

Q: The coefficient of (x - 2)4 in the Taylor series expansion of f(x) = 3 log x - log x² about x = 2 is…

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Q: 1. (Qл R) v^P 2. "Q 3. Q → ~R P.

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Q: nswer the following qu

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Q: A spherical tank of radius 4m is filled with water to a height of 1.2 m. The water is transferred to…

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Q: Q3. Solve the following LP problem using the simplex method: Maximize: Z= 2x + y Subject to: 2x +…

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Q: Find the following complex series. 1.  Find the Mclaurin Series expansions of cosh(x) up to fifth…

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Q: The computer solution is shown in Figure 3.17. a. What is the optimal solution, and what is the…

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Q: Q2/ By using partial method solve fx² In x dx

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Q: Let X be the graph of f(x) = given below tor

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Q: Using the method of undetermined coefficients, find the particular solution of the following initial…

A: As per our guidelines we are supposed to answer one ques only. Here is the solution for the first…

Q: An international airline has a regulation that each passenger can carry a suitcase having the sum of…

A: Given that,An international airline has a regulation that each passenger can carrya suitcase having…

Q: 5s2-2s-19 7. F(s) = (s+3)(s-1)2

A: We have to find the inverse Laplace transform of given F(s).

Q: Part: b:Let W be the set of all vectors of the form shown below in parts į and ii. In each part,…

A: A non empty subset W of a vector space V is said to be a subspace of V is:1. for all u, v ∈W we…

Q: Hewed Find the akeas fax the fallewing regions Area enclosed by the diagram V= Sin 3

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Q: 2. Let X = R² – (0,0) and ~ be defined over X by setting x~y + y = tx for some non-zero t € R. Given…

A: Sol

Q: I-y 1. Let f(r, y) Find: I+y+1 (a) f(2, 1) (b) f(1,2) (c) f(a, a) (d) f(y+1, y)

A: The given question is related with two variable function. Given that,                  fx , y = x -…

Q: Given the graph in Figure 1 below, answer the following question. d Figure 1 a) Find the number of…

A: We have to find the number of vertices, edges and adjacency matrix of graph.

Q: Consider the ceiling function [2] = min{z € Z]z >r}. This basically rounds up any real number. For…

A: Sol

Q: then2 Evaluate khe falowingcartesian integralo by changing them inte equivalent Pelar integrals: 3-…

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Q: Find the area of the surface generated by revolving the given curve about the y-axis. 8ry? = 2y° +…

A: Surface area of revolution about y-axis  S = ∫ 2πx ds where ds=1+dxdy2dy