Find the equation of the graph and estimate the instantaneous rate of change at x = 1

Q: 3. a) Compute: f (Rez-3z) dz where I is a directed line segment from z = 0 to z = i. b) Let C be the…

A: To Evaluate:  (a) ∫Γ(Rez-3z)dz , where Γ: z=0 to i. (b) ∮Ce-zz2(z-5)dz, where C: |z|=4 oriented…

Q: Find the general solution of the linear system whose augmented matrix is 1 1 2 1 1] 4 4 9 5 5 x1 =…

A: The given augmented matrix is: 1121144955 Find the Row-echelon form of the matrix.

Q: (b) Find the mass of the surface S, where S is given by r(u, v) = (2uv, u²-v², u²+v²), (u, v) E D…

A: Consider the given vector equation of the surface, ru,v=<2uv,u2-v2,u2+v2> where, D=u,v∈ℝ2:…

Q: Solve the given differential equation. All solutions should be found. dy x - 2y = dx X NOTE: Use c…

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Q: b) let R be the disk in the xx-plane centered at the point (0.2) and with radius 2. Calculate ☞² +…

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Q: 1+ cos 3. For the identity 1 + sec 0 = cos e a) Verify the identity for = 210° using exact values.…

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Q: Verify that the indicated function y = p(x) is an explicit solution of the given first-order…

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Q: A linear system is inconsistent if and only if its augmented matrix has a row of the form [00... 0…

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Q: We call g(x1, x₂) = ax² + 2bx1x2 + cx a quadratic form, a, b, c are constants. Suppose X1 X = try to…

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Q: 1. Find the Fourier series of the function f(x) = |x| which is defined over the range - T<x< πT.

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Q: Q: Discuss find following surfaces Traces. the intercepts and 4x₁²² + 44.² + Z² - 16 = 0

A: Given: Equation of surface 4x2+4y2+z2-16=0 To find: The value of intercept and traces.

Q: 11. Which of the following statements is false? a. The range of a transformed logarithmic function…

A: To Examine: which of the given statements is false.

Q: The number of nonnegative integer solutions to the equation ₁ + x₂ + x3 + x4 Oa. (3) Ob. (²) C. none…

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Q: 2. The value of O True O False -¹2 is 11 13 13

A: Follow the steps.

Q: Prove the following: (A → B) ^ (B → A) (D ∨ E) → B A → (~E ∧ C) ———————— ∴~E

A: We prove the given argument by using rules of inference.

Q: What is the improvement index of (Factory X, Town C)? TOWN A TOWN B TOWN C SUPPLIES 700 FACTORY X…

A: To find the improvement index of (Factory X, Town C) form the data.

Q: 21 Solve in terms of Besselis Function, 2 11 the ODE: x² + xy + (x³²+ =)=0 let Z=Lnx

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Q: 5.Express this model of an electric circuit d²y dy +6 +5y=sin10t, y(0)=0, y'(0) = 1 dt² dt As a pair…

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Q: Find the derivative (df/dx) 1- f(x) = cscx - 4√x + 7y−² 2-f(x)=x² cotx-x-2 3-f(x) = (secx + tanx)…

A: We have to find derivative of given function.

Q: 1. Solve the nonhomogeneous equation by using the method of variation of pa- rameters. d'y dy dar²…

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Q: 21 Solve in terms of Besselis Function, 2 11 the ODE: x² + xy + (x³²+ =)=0 let Z=Lnx

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Q: In the Figure 1, if Q= 40 N, P = 50 N, and B = 145°, then R is equal to (in N): Figure 1: C R A Q B…

A: To find the R we will use the cosine rule R2=P2+Q2-2PQcos(B)

Q: Find a Fourier series solution to the boundary value problem: X" + 4X 4t, X(0) = X(1) 0 Find the…

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Q: Solve the given initial-value problem. dx y − x = 6y², x(8) = = 1 dy x(y) = Give the largest…

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Q: Consider the function on the interval (0, 2). f(x) = sin x + cos x (a) Find the open intervals on…

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Q: 3x²y dx (x³ + y³)dy = 0, y(1) = -2

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Q: So what's the basic variable?

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Q: 68 Yep Find the area of AABC to the nearest tenth. с ddf892d342a 8 m ddf892d342a ddf892d342a ez…

A: Here given two sides AB and BC  AB is 10m and BC is 8m and one angle is given angle ABC which is 113…

Q: 2. ΑΔ Β - (Β η C

A: Given: Expression A∆B¯-B∩C We need to calculate value of given expression.

Q: 9) Consider the solid Q bounded by the surfaces: S₁: x1 = (z −2)², S₂: y+z=2, S3: x=0, S₁: y=0, S5:…

A: The first surface given is as follows: S1: x-1=z-22⇒x=1+z-22⇒dx=2z-2dz The function given is Fx, y,…

Q: Use variation of parameters method to find the following differential equations: (i) y" + 16y = 32…

A: Solution i:  Given differential equation is y''+16y=32sec(2x)           (1) Auxiliary equation of…

Q: 15) Consider curve C which is the intersection of the surfaces shown in the attached figure. The…

A: The equation of the graphs given are as follows: x=-34y2+3y=yz=y22 We are asked to evaluate the…

Q: Q1. Find the inverse of the following matrix by using Gauss-Jordan eliminations 1 21 -1 2 3 12₂₁ +1…

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Q: Solve the given initial-value problem. 1 0 2 2 X' = X, X(0) 1 6 1 2 ×019 = 2(1,1)e(5) +5(0,1)e¯(5)…

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Q: 3 + + (2) + (2) + 1 Inx Inx/ (lnx) ...+

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Q: (6) (Show manual calculations for this task) Let the partial differential equation J²u J²u U = Ət²…

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Q: In a course on introductory real analysis, Riemann integral is commonly defined through upper sums…

A: To Explain: Supremum and Infimum of the subset of real numbers, with examples. To Discuss:…

Q: Make z tu subject in the form of

A: Given x2a2-y2b2=1 Since we know that z=x+iy and z¯=x-iy then x=z+z¯2 and y=z-z¯2i

Q: A boat at anchor is bobbing up and down in the sea. The vertical distance, y, in feet, between the…

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Q: If A=(4,3,0), B=(2,3,4) and C= (5,6,2) find the dot product and find the angle between the vectors.

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Q: Danny, an employee at Burgertown is expected to have a burger-flipping speed of 50 burgers per…

A: Danny, An employee at Burgertown is expected to have a burger-flipping speed of 50 burgers per…

Q: Whenever a system of linear equations has a free variable, the system has infinitely many solutions.…

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: (a) The reaction to form an iodine molecule is a second-order kinetics rate of loss of iodine atoms…

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Q: After Northwest Corner Rule, which cell is empty or free? Town A Town B Town C Town D Factory X 8…

A: In northwest corner rule we start allocation at northwest corner of the table and continue it until…

Q: (b) Find the points on the line r(t) = (t, 1+2t, 1-2t) whose distance from the plane 2x - 2y+z=1 is…

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Q: Solve the equation using Relaxation's method until 5 iterations. 5x₁ - x₂ + 2x3 3x₁ + 8x₂2x3 = 12 =…

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Q: The differential equation 20x+x²y=2x+3₁ (0)=5 is dx O linear with fixed constants O undeterminable…

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Q: 2. 20x₁ + 15x₂ + 10x3 = 45 -3x₁ -2.249x₂ + 7x3 = 1.751 5x₁ + x₂-3x3 = 9

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Q: 2. Find (x) which satisfies (4e y − 1)dx + e dy = 0. O p(x) = e¯² + 5e-4x O p(x) = 3e e-4x O p(x)…

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Q: Let f(z) = cosh z. (1) Find the image of S:= {z = x+iye C: x<0,0 < y < } under f.

A: First calculate image the boundary line under the map. Then choose a point other that boundary from…