QUESTION 1 Consider the graph G(7,8) With V = {A,B,C,D,E,F,G} and 8 = {AB, AC, AD,AE, AG, BB, BF, BG, CD, CE, CF, DG, EE, FG, FG, GA) What is the degree of vertex E?

Q: Determine the area of the region below. A. 1.5 sq. units B. 1/2 sq. units C. 1 sq. unit D. A sq.…

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Q: •x² if 5 solve the 1UP: y% 4y(2)+ 3y'= Y0)=e+ % ,uG) = et %

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Q: 4. Prove by mathematical induction: For any ne {2,3,...}, 2: i=l i(i+1) n+1 (Special instruction for…

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

Q: ez = -2

A: Solution :-

Q: 1. When the origin is shifted to (2,3) by translation of axes, the coordinates of P are changed to…

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Q: Problem 2: 2.5 Evaluate the integral using the composite trapezoidal rule with the indicated number…

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Q: 8. (a) Let I= f(x) dr where f(r) = 7.x +2 – VTæ + 2. = 1, f(x) dx where f(x) = 7x + 2 – V7x + 2. Use…

A: 8. The given function is fx=7x+2-7x+2  To find: (a) The value of I=∫12fx dx            (b) The value…

Q: Find the laplace transform of the following: a.) f(t) = teatcosbt b.) f(t) = 7t + 6et - 2et - 10…

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Q: Tic Conc attend Comm ¢ 0.5 Price what 1562

A: Let x be the number of tickets sold. the revenue collected is revenue = price of ticket ×price of 1…

Q: Find and graph all the roots in the complex plane. (3 + i4)5

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Q: Given are the following nonlinear equation ex + 4x - 36 = 0

A: Solution :  Newton Raphson method , f(x)=4x2+e-2x-36f'(x)=-2e-2x+8xx0=11st iteration :…

Q: 3.0 SOLVE BY Jacobis Method 2x + 9y = -1 4x + y = 15

A: 2x+9y = -1 4x+y = 15

Q: cheby Sher Polynomiels

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Q: Solve the given (matrix) linear system: (3cos(t) X + 2et 2. X' 14

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Q: The angle between the sides of a triangle 8 cm and 12 cm long is changing, causing the area to…

A: if the two sides of a triangle be 'a' and 'b' and angle between them be θ then area A=12abSinθ

Q: A motor and geartrain used in a servo system are operated with a steady voltage and the output of…

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Q: 4. Find the volume of the solid generated by revolving the first quadrant area of the curves xy=2,…

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Q: Hiws solve Sinite diffrence ý+ xy =2xy [ol]

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Q: a) Find all m 2 1 such that 27 = 9 (mod m). 0 1] 1| is a zero-one matrix, find A ^ A2]. 0 o] [1 b)…

A: The given problems are solved as shown below.

Q: 'n each part, we have given the significance level and the P-value for a hypothesis test. For each…

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Q: An experiment consists of three fair, different coloured dice being rolled (the dice are 6-sided and…

A: Given that A is the event that none of the dice shows 1. To find: (a) the sample size S.…

Q: 5. (a) Carefully sketch (and shade) the (finite) region R in the first quadrant which is bounded…

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Q: Q1: Apply Gauss Seidel method to solve the following linear equations, starting from 1,1,15…

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Q: o find the root of fW =Q-x)e"_1 of use N.P.M

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to approximate the root of the equation:…

Q: (-0.1)-(30)+ (-0.1)' (150) f(-0.1)%= 2 (-0.1) 3(-0.1),11-0.1)- (120)= 6.83 9. 4.

A: f'(-0.1)=111+-0.1-123(30)+-0.122--0.1+13150+-0.136-3-0.124+1112-0.1-14120=6.83 (a-b)3 = a3-3ab(a-b)…

Q: I. Show that the function ƒ defined by (x, y) = (1, –1) f(r, y) = { r² + y (x, y) # (1, –1) x+ y is…

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Q: Q3) Solve the following boundary value problem using finite difference method d`y y_dy 3 +2y =0 dx…

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Q: In a particular very small region, the consumer price index, C, depends on the current valuc of…

A: here we will be using derivative to find rate of change

Q: Find the Laplace Transform of the following function as a function of “s” and simplify the result.

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Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

A: The given vector is r→t=5t sint + 5costi^+5t cost + 5sintj^. To find: (a) unit tangent curve of the…

Q: 1. Find the general solution of dy = e 3x+2y dx

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Q: H Salve b Pinide diffrence methat Itx2 てメ+\ yot=t25,y4)=095

A: We can solve this using finite difference method

Q: = f(x) dr where f(x) = 7x+2– /7x +2. Use Simpson's rule with four strips to estimate I, given 1.00…

A: It is known that: ∫xndx=xn+1n+1+C, where C is the integration constant.

Q: Find the volume of the solid generated by revolving about the x-axis the smaller area bound ed by…

A: To Find: The volume of the solid when the region, bounded by the curves x2+y2=2 and y3=x2 is…

Q: Q6) Find the approximate value of A and B in ya = x(1 – x)(A + Bx) where y + x² = 0 and y(0) = y(1)…

A: Given data A polynomial  ya=x(1-x)(A+Bx) A differential equation  y"+x2=0ord2ydx2+x2=0 Boundary…

Q: Solve the DE: dy + 2xy = 2x³y3. dx

A: The given problem is to solve the given differential equation. The given differential equation is of…

Q: 1. Use the Diagonal Method to evaluate the value of the determinant: 3 4 2 -1 – 3 1 - 2 2 3 -1 1 2…

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Q: 3. Two people spot an airplane in the sky between them at angles of elevation of 42° and 57°…

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Q: 28. V1 + x*dx , n=9 03

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Q: Find all the Laurent series representations of the function f(z) = 1/(z − 3)z centered at 0.

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Q: Two triangles are on the same base and between the same parallels. Prove that the sides or sides…

A: Given: △ABC=△DBC To find: Diagram

Q: Give the VALUE only. No need to include the unit of measurement in your answer. DO NOT include…

A: Let's suppose Volume of plane cell is C. According to the question: Rate of increase per day after t…

Q: Let S be the set of all (nonnegative) 4-digit integers. How many integers does S contain? Enter your…

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

Q: 7. Five equal point charges, Q = 20nC, are located at x = 2,3, 4, 5, 6 m. Find the potential at the…

A: Solution

Q: Find the interval I and radius of convergence R for the given power series. (Enter your answer for…

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Q: Find the laplace transform of the following: a.) f(t) = teatcosb

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: 7. (a) Shade the region in the complex plane defined by {z € C: |z+2+2i| < 2}. (b) Shade the region…

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Q: 06. lim, xcsc X 3csc 6x 07. lim,→x/2 csc2x e* +3x 08. lim, e* + 0.5x?

A: According to guidelines here solution of only firt 3 questions

Q: SOLVE FOR INVERSE LAPLACE TRANSFORM 3s + 2 4s2 + 12s + 9

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