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Q: Show that : [x+y] > [x] + [Y] for any real numbers x and y

A: Introduction: The greatest integer function is a significant number theoretic function. Every real n...

Q: S -t+1, -1<t < 0, | 1, f(t) = 0st<1, f(t+ 2) = f(t). t F(t) be the Fourier series of f. hter the val...

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Q: g(f(x)) = 18x² + 36x + 18

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Q: Question2. Find the equation of the line which is perpendicular to the line 3x – 4y – 12 = 0 and pas...

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Q: Use the method of completing the square to change General form to vertex form В. y = x + 8x + 3

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

Q: Isosceles triangles were used as the main geometric figure in the patches used to make a tent. The e...

A: Area of isosceles triangle = 12×a×b×sinθ, where θis the angle between the sides with length b and c....

Q: a. Consider the initial value problem: y" – 4y' + 8 y = 0 y (0) = 0, y' (0) = 2 Which of the followi...

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Q: Using Reciprocal Substitution * For S x²(®1+x+j{ 1 4(81t* + 1)3 81(81t* + 1)5 O Option 1 Option 2 1 ...

A: The given question is related with integral. We have to find the integral ∫dxx281 + x434  by using R...

Q: Func tion FC<) = _4 *+4 2)find a the the %3D power series por Cen lered c= 1 and de termine the in t...

A: Power seriese and interval of convergence

Q: Let S be the surface 7(x, y) = (x² + 2y, 3x, xy), (x, y) E D = [0, 2] × [0, 3]. The area of S is: /|...

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Q: If f(x, y)= xe2y +y, evaluate grad f •dr where C is the straight line joining the point (2,0) to the...

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Q: 3. f(x) = x In x - 2x + 3 on (0, ) . f(x) = -12r + 75x* – 80x . f(x) = x² - 2 In x %3D

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Q: (: ) . Consider the matrix A = Find (a) the characteristic polynomial of A; (b) the eigenvalues of A...

A: By Bartleby policy I have to solve first 3 subparts only. Repost separately remaining questions.

Q: Discuss following series : 3. +. 4 4 (i) +... o (x > 0) (n+1)" x" (ii) E 2 33 3 3 (iii) 12 1 44 4 +....

A: We have to find the nature of series.

Q: Find the Fourier coefficients ao, an and b,of the given 2n- periodic functions: (a). f(x) = x (b). f...

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Q: Which of the following best describes the function below Jr ifxs0 S(x)=< -r² if 0<x l A. Continuous ...

A: Here in given function we have to check continuity and differentiability at x = 0.

Q: DO NOT include spaces in between characters. * Find an equation of the tangent line to the graph of ...

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Q: Show that the polynomial 1+x+x2 +...+xP-1 , where p is a prime number, is irreducible over the field...

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Q: ) Find geo metric power scries por Function FCX)= 9 Cen lered at o.

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Q: F. Evaluate dr, where F = (-6x², 9y², –12z²), and C is the curve: 7() = (t, 12 – 21°, 2³ – 1²), 0 < ...

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Q: vx(A x s) = (B · v) A - (a.o)o +a (v-t) – 3 (v. A) %3D

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Q: HWes Anofen cylinder Can has an tnside radius 82cm and an inside height o fs cmuuse the total deriva...

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Q: Draw the circuit which represents the Boolean function: (ii) (p : ) (p,apa (P3 v P

A: We know the logic gate for ^(AND) and for v(OR). Then using these two gates we draw the final circui...

Q: Find the dimension of the subspace U = {[x, y, z, t]|x+4y-z = 0; x-2z+ t= 0}. Select one: a. 4 b. 2 ...

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Q: ch is the centroid of the section reckoned lower left hand corner. 100 100 600 100 -500- Dim

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Q: Evaluate using relaxation method. Tolerance is < 0.0001 Evaluate for the unknown variables -1 = X, +...

A: Here we Consider, X1=x, X2= y, X3= z

Q: Learning Task 3: Find the equation of the tangent line to the following curves at a given point 1. y...

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

Q: Show that for any real numbers X and y. one of the following two case can happen: Either [x+Y = [×] ...

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Q: In 2015, a population of elk was down to 3,542 animals after 5 years of exponential decrease. Part A...

A: The exponential decay or growth is modelled using the equation: f(t)=a1±rt, where r is the rate of g...

Q: At which point/s does the graph of y = r+9 have a horizontal tangent line? Write the point/s in the ...

A: The slope of the tangent at a point on the curve: y=f(x) is equal to the first derivative of the fun...

Q: (Practice Hint: Use the Line Guide tool to keep your place. Drag the blue handle on the right as you...

A: A rectangle has four sides and the measure of each angle is 900. A right-triangle has 3 sides and th...

Q: Prove by contrapositive: If a+b is odd, then a is odd or b is odd.

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Q: п(п+1)(2n+1) Use mathematical induction to prove that 12 +2² +...+n? for any = positive integer n.

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Q: Find the radius and interval of convergence of the series (r– 3)" Σ 2" /n +2 n=1 Test the end points

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Q: A G-protein is ... O a) a membrane-bound enzyme that converts ATP to cyclic AMP. O b) a protein cont...

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Q: 5. Find Argz for the following values of z. (a) (1- i)5 I 3. (b) 1+iv3 (1+1)2

A: (a) Given z=1-i5                We will find Arg z We know that a-b5=a5-5a4b+10a3b2-10a2b3+5ab4-b5  ...

Q: • Consider the (nonlinear) initial value problem =-2y. y(0) = 9% • Does it have a solution for a) 36...

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Q: (a) If U and V are vector subspaces of Rn, then U ∪ V is also a vector subspace of Rn.   (b) If V an...

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Q: The solution of the exact differential equation (ycosx + 2xe") + (sinx + x²ev – 1)y' = 0 is:

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Q: DO NOT include spaces in between characters. * Compute de (2r° +S)(4x-1)] at x= } at r = 24 Your ans...

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Q: HW.s Anofen cylinder Can hag an tnside radius and an inside height of s cmuse the total 2cm derivati...

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Q: 6. Express the following functions in the form u(r, y) + iv(r,y). (a) f(z) = +(1– 2i)z. %3D (b) f(2)...

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Q: Determine the total work, by Green's theorem, done by the force field F(x,y)=, on a particle followi...

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Q: Formulate the situation as a system of linear equations. Be sure to state clearly the meaning of eac...

A: ormulation of equations Write A for x1 , B for x2 and C for x3. A truckloads of GrowRite contains 40...

Q: segment of a circle is a region bounded by an arc and its chord. Find the area of the new DE 20 m

A: Given:

Q: Solve the equation: [#]+1=1 x – 3

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Q: The solution of the separable differential equation – x²y² = x² is: dx None of the above y=tan((1/3)...

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Q: DO NOT include spaces in between characters. * Compute 의-8 at r =2.

A: We have to differentiate given function.

Q: Use Euclid's Algorithm to show that there are integers s and t such that 57s + 73t = 1. Showing all ...

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Q: 7. Consider solving the initial value problem dy yt²- 1.1y, dt y(t = 0) = 1, from t 0 to t 1. (a) Fi...

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