Consider the function f : [a, b] → (a, b] with ƒ being continuous. Show that there is a number c in [a, b] such that f(c) = = C.

Q: The solution for the following IBVP if, x>2 t U = 4 uxxi 00 u (0, t) =0 u(x, 0)=0 u,(x, 0) = cos x i...

A: The given partial differential equation is                                                      utt=...

Q: 1 and a1 = 14. %3D Find an explicit formula for az 4aj –1 + 5ar – 2 for k > 2 with ao

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Q: 2) Min(Z) = 4X1 + 6X2 S.T. 5X1 + 10X2 12 X1,X2 20

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Q: 2. An automobile travelingat the rate of 20m/s is approaching an intersection Whenthe automobile is ...

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Q: Evathte thefottowing integtats using folar methed s

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Q: Evaluate 6z dV where E is the region below 4x + y + 2z = 10 in the first octant. E

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Q: Let u be a unit in ring R. Show that u divides x, for all x in R. (That is, show that x = uy for som...

A: Let u be unit in a ring R  Then there exist v in R such that  uv = vu = 1  Where 1 is unity of ring ...

Q: Find the centroid

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Q: Given the point D(−4, 5, 3) and A = yax + (x + z)z ay, express the D and A in: Kindly answer in vec...

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Q: f (a) a theorem with direct proof (b) a theorem with indirect proof

A: this is a question of mathematical logic.

Q: 9) In a local art museum, a moving spotlight projects geometric figures on the wall in front of it. ...

A: For the solution of the problem follow the next step.

Q: A foundation student bought a mobile phone and smart watch for a total of £1,250, excluding VAT (val...

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Q: Identify the vertical asymptotes, horizontal asymptote, and zeros (roots) of the function graphed be...

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Q: Find general solution One-dimensional heat equation 2 d²y du = C2 dx? dt

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Q: f(t) = 4t – 5 %3D L{f(t)} = %3D

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round yo...

A: Given:   The line given by the set of parametric equations. (3, -8, 4); x = 2t, y = t - 3, z = 2t + ...

Q: 3. Yes No 4. Yes No a b cd efgh a bcd e f f gh 8 8. 7 7 7 7 CO

A: This is the question of finite math, combinatorial, and counting.

Q: 1 1 0 11 1 6 1 5 2 1 3] 31 4 1 3 -2 1. A = 10 ? 1 21 B =|1 6 5 2 10 1 l2 0 1 41 [2 6 1 1] D = l5 0 9...

A: To evaluate the given. 

Q: 5 2 -4 Is = 7 an eigenvalue of 3 2 4 ? If so, find one corresponding eigenvector. 0 1 Select the cor...

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Q: 0 -3 -71 -3 -3 | has an eigenvalue A = 4. The matrix A 4 -2 2 4 Find an eigenvector for this eigenva...

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Q: The table below sflows data from a study relating a man's age to the average number of miles he can ...

A: We will use graphing calculator to find best fit for these data Let x = men's age and y = average nu...

Q: Q6) Using the Newton's forward difference interpolation formula evaluate f (2.05) where f (x) x, usi...

A: For the solution of the problem follow the next steps.

Q: C(4) А(3) F(5) D(2) H(2) B(5) "G(6) 3 E(3) The diagram above is the activity network relating to a b...

A: A network diagram is used to schedule the activities in a project. It describes the precedence relat...

Q: Let k be a positive integer. Use induction to prove that (k −1)n+1 + k2n−1 is divisible by k2 −k +1 ...

A: To prove that k-1n+1+k2n-1 is divisible by k2−k+1 for every positive integer n using Prinicpal of ma...

Q: Given the point D(-4,5,3) and A = ya, + (x + z)z dy, express the D and A in: Kindly answer in vector...

A: Given the point D=-4,5,3 and A→=yax→+x+zzay→. To express D and A→ in: 1. Cartesian Coordinate system...

Q: Arithmetic Sequences in Recursive Form a) Write the arithmetic sequence ak 2k + 7 for k > l in recur...

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Q: (b) Find the power series solutions of the given differential equation about the ordinary point x= 0...

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Q: Find all values of a E R such that Q is positive definite, and all values of a E R such that Q is ne...

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Q: 2. (aibic) is He pt. on te plane 2x ty-32=5that is cioust to the pornt P(i,ll). Then atbre = all b)2...

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Q: 3.3 hy grephing Solve A. Minimize C =10x +15y s,t. X+y 3x ry Zld ー2x +3y 23 x20, y 20 B. Maximize P=...

A: We have to solve the problems by graphing.

Q: Use the form of the recursive sequence and matrices to determine the closed formula for the followin...

A: Given an=an-1+3n-1........(1) a1=2.

Q: Problem 01: (a) Write down the general form of the Cauchy-Euler differential equation of order n. (b...

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Q: 3x3 Matrix Determinant 8 4 3 -5 -2 7 9. 9 -8

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Q: th isr't rong r = 100 cos 20 (f ·g)' = fg' + f\g] i = (-200 sin 20)0 dr d?r dt dt2 do d20 = dt dt2 f...

A: The derivative of a function f(x) at any point x=a represents the rate at which f(x) is changing wit...

Q: n Vn (k) (-1)"-1 n + 1 n=1 n Vn +1 – Vn – 1 Σ - (1) n n=1

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Q: at the one-dimensional and n are constants.

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Q: Suppose P(n) is a variable proposition. For each of the following pairs of assumptions, determine th...

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Q: X + 5y + 15 z+35 w + 70t = 0 X + y + z + w +t = 1 X + 2y + 3z + 4w + 5t = 0 2x + 6y + 12z + 20w + 30...

A: We solve the given system of equations by using Gauss Jordan elimination method.

Q: 11. Find the coordinates of the center of mass of the solid bounded by the paraboloid: z = 4 – x² – ...

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Q: f(t) = 6t4 %3D L{f(t)} = %3D

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Q: Locate all relative maxima, relative minima and saddle points (if any) for f(s, t) = 14s² + t³ – 14s...

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Q: ACT 1.1. “ What I can Do?" Construct a table of values to investigate the following limits: 10 a. li...

A: According to our guidelines we can answer only one question and rest can be reposted. 

Q: d'y +45 - 6y = -12 ; y (0) = 1, y (0) = 4, y" (0) = -2 %3D %3D dt3 dt? dt

A: We have to find the solution.

Q: 3. Suppose o1 and o2 are solution to y" + ay +by = f, where a and b are real constants and f is a co...

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Q: Use Stokes's Theorem to evaluate JCF• dr. Use a computer algebra system to verify your results. C is...

A: To evaluate the integral ∫F·dR using Stokes's theorem, where F=6xzi^+yj^+6xyk^, and S: 25-x2-y2.

Q: Produce the linear minimax approximation to f(x) = ln (x) on [1,2). Graph the error, and compare it ...

A: Given function f(x)=lnx We have to graph the function on the interval [1,2] and compare it with the ...

Q: NAME ations ach equation for the indicated variable 1. Solve 6-mx tb for x 4-P+Prt for t. 4 Solve x ...

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Q: Multiple Choice. Write the letter of the correct answer. Kindly explain why you choose the letter as...

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Q: 3. Here is a triangular prism. 4 cm 5 cm 5 cm 10 cm 6 cm + a. What is the volume? The volume is got ...

A: a. Volume of the given figure shall be: V=Area of triangle×length First we shall find the area of th...

Q: b) Evaluate sin³30 d0 (Take n=7).

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