If C is the constant of integation, and g(0) =1 the C=___ and g(-2) = ____

Q: 4. (a) (i) Calculate (4 + 10i)². Answer: (ii) Hence, and without using a calculator, determine all…

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Q: Complete the proof using only set identities and definitions. Suppose A, B, and C are any sets. Then…

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

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Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

A: We are given the function  h(x, y) = x3-3x+3xy2 we have to find the relative maximum and minimum…

Q: For the first 10 days in December a plant cell grew in such a way that t days after December 1 the…

A: )This is the problem with the application of Calculus.

Q: Q4) Solve the boundary value problem y -- 3y' + 2y = 0 with y'(1) = 1, y(3) = 2e* - e? h = 0.5 %3D

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Q: What is the dual of the phrase “three collinear points and a fourth point not on the line of the…

A: Answer :  Dual of any phrase can be find by replacing the conjunction connective with disjunction…

Q: Theorem 12. Let V be a finite dimensional inner product space and te Hom (V, V). Then linear…

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

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Q: 1.0 Solve by Gauss Seidel Method 3x-y+z=-1 -x+3y-z=7 x-y+3z=-7

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Q: A circus tent is made in the shape of an octagonal prism and octagonal pyramid. If the side of the…

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Q: Given two graphs below: D. a) Find min size edge coloring of each graph? b) prove a proof that no…

A: A)

Q: V IF S= 5A'x(2E-D'] find the value of the following #1 P11 # 4 P21 #7 P31 #2 P12 #5 P22 #8 P32 #3…

A: To find the required matrix :-

Q: tate whether the given solution is TRUE or FALSE. the ed 1. How fast is the volume of a cube…

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

Q: 3 1.4.1.5I•6•!•7• I 8• I•9• I • 10• 1 •11· I •12. 1 •13• 1 • 14- 1 15. 1 % 17.118 ORDINARY…

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Q: Determine whether the series are convergent or divergent. Justify your answer

A: Dear Bartleby student, according to our guidelines we can answer only three subparts, or first…

Q: DO NOT include spaces in between characters. * The point (3,2 )is on a curve, and at any point (x,…

A: To find the equation of the curve :-

Q: Let T(7) = Az for the following matrix A and let b be the vector given below. 1 1 2 -4 A = -1 8 1 3…

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Q: Q4) Find the largest eigen value for the matrix 1 2 A= 5 4 with x' (0) = (7/17 1)

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Q: Compute the determinant of the following matrix -() 1 а а? 1 b b2 1 c c? A =

A: To find the determinant of matrix A

Q: Question 3 While investigating the effect of temperature on CPU performance, analysts determined…

A: Solution : A) x%=pf(p)=-1.515p-5 8-0.04p+0.48p17f is rate of change of frequency to find freequency…

Q: 2. Using Gaussian Elimination a.3x + y - z = 1 b.x - у+z%3D-3 c.2x + y +z= 0

A: Solution :-

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

A: Solution:-

Q: VI. Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + %3D subject to 2² +…

A: Let function F(x,y,z) subject to constrant g(x,y,z)=k Lagrangian L is L(x,y,z,λ)=f(x,y,z)-λ.g(x,y,z)…

Q: 10. Particular solution of y" – 64y = 16, when x = 0, y = 1, y' = 0 %3D

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Q: Given:  U = { 2, 5, 8, 11, 14 }             A = { 2, 5, 8, 11 }              B = { 2, 8, 11, 14 }…

A: Solution:-

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: Using Picard's method, the 3d approximation of = x* +y at v(0)-1 is 1+ x + so the values of d and r…

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Q: Ē=-V A electric field can calculated from a potential by using The potential at (x y z) due to a…

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Q: 6. (a) Carefully sketch (and shade) the (finite) region R in the first quadrant which is bounded…

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Q: Determine the real root of f(x)=x*-8x³-35x²+450x -1001. Using false-position method to locate the…

A: For the given function, f(x)=x4-8x3-35x2+450x-1001 The formula for false-position method is given…

Q: Solve for the laplace transform using the formula. F(t) = e-2t-5 G(t) = t5 - e-t + 5(t – 1)2

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Q: Compute the determinant of the following matrix 1 а а? 1 b 2 1 c a A =

A: Solution :-

Q: 2. Let L={x,y,z}with the topology r={L,ø,{x},{x,y},{z},{x,z}}. Verify whether L is normal or not.…

A: The given problem is related with topology. Given that L = x, y, z with the topology τ = L, ϕ, x, x,…

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

A: We have to shade the region in the complex plane defined by  a z∈ℂ: z+2+2i≤2 and b z∈ℂ:…

Q: Find the sum of the three harmonic motions: x1(t)=10cos(wt + 2)  x2(t)=15sin(wt + 2) x3(t)=…

A: Consider the given three harmonic motions: x1t=10cosωt+2x2t=15sinωt+2x3t=15cosωt here we need to…

Q: Q5) Solve the equation with y (0,1) = y (1,1) = 0 y (x,0) = sin x ! = 0,0 sxSI 8. ду (х .0) and…

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Q: II. Let U = R = {x €R|x* - 14x + 45x = 0} J= {x €R]x* 2}. I = %3D Find the following. All infinite…

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Q: Hiws slove du 4 dt %3D dx2 h=I u(6,t) = L (8,t)=0 u(x,a) =0 =4X- ()X

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Q: Set up the double integral ff 2x + ydA where R is the region above the x-coordinate bounded by the…

A: Double integration : Let f(x, y) be the two variable function the double integration over the region…

Q: Create an augmented matrix for the system. Then, solve the system using the Gauss Jordan elimination…

A: Solution:-

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: A circle is inscribed in a rectangular trapezoid with angle 60o. Find the probability that a random…

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Q: How many integers between 1000 and 9999 inclusive are not divisible by 5?

A: The number of integers from 1 and 9999 which are divisible by 5 is = [9999 ÷ 5] = [1,999.8] = 1999…

Q: (A) Why does the Law of Sines have an ambiguous case when solving for angles, while the Law of…

A: The Law of Sine have an ambiguous case when solving for angles because when we use law of sine for…

Q: 00 y 8 6- 21 2. 4. 6 8. (b) Find the number c that satisfies the conclusion of the Mean Value…

A: The given graph is  To find: The value of c.

Q: 2. The Lorenz curve of a particular society is given by L(x) = Ax? + Bx. |3D Suppose that the…

A: Given that Lorenz curve of a particular society is given by  Lx=Ax2+Bx     .......(1)

Q: Let n be a positive integer. Show that every connected graph on n vertices has at least n – 1 -…

A: This is a problem of Graph Theory.

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

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