Use the functions f(x) = x − 3 and g(x) = x³ to find the value or function. (g-¹ of ¹)(-3) (g-¹ of ¹)(-3) =

Q: Q1 Find the points of intersection of the polar curves rcos and 2-cos-r=0 Q2 Find the points of…

A: Introduction: The polar curve has the form r=fθ. When two polar curves intersect each other, the…

Q: Exercise 6.4 (1) For which natural numbers n is the number 3" + 1 divisible by 10? Find the…

A: As per our policy, we are allowed to attempt first 3 parts, kindly post remaining parts separately.

Q: D 9 9 15 E 19 C 8 9 8 19 DO 8 10 5 F 9 13 B 7 6 A

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Q: Q2 Find the area inside the smaller loop of the limacon r =2cos 0+1 r = 2 cos 6 + 1 = 27 ara 0 = 0=…

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Q: Can the following graphs drawn in plane without edge crossings? a

A: Given: Graphs, To determine: Whether the given graphs can be drawn without crossing.

Q: 4. Which of the following statements is/are true? (A) For a nonzero matrix A E Rx, let P be a matrix…

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Q: y' = 4+t-y, y(0) : = 1 (a) Find approximate values of the solution of the given initial value…

A: Given differential equation y'=4+t-y Let f(t,y)=4+t-y  Initial condition ,y(0)=1 So,t0=0, y0=1.…

Q: solve the differential equation (step by step plese) y'ln[y]+x2y=0

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Q: The population data of the Italy from 2005 to 2010 is given. Find the population in the years of…

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Q: Exercise: Find unit vector perpendicular to the plane .P(1.1.1). Q(2.1.3). R (0.2.1) and find area…

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Q: i. Which of the following relations ƒ: Q → Q define a mapping? In each case, supply a reason why f…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: Consider the initial value problem x' = 4x², x(0) = x0. For what value(s) of xo will the solution…

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Q: Problem 6. Write a matrix for the linear transformation T: R³ → R³ satisfying TO) -()· () - () - ()…

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Q: Solve the following linear systems by Gauss-Jordan elimination. A. x₂ + 2x₂-x₂ + 3x₁ = 4 + 2x₁ = 1…

A: The Gauss Jordan elimination method is used to find the solution of the system of linear equations…

Q: 16. How many edges has each of the complete graph Kso? A. 1235 B. 1245 C. 1225 D. 2450

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Q: ди 10²u = It 40x²¹ together with the boundary conditions u(0, t) = 0 and u(, t) = 0 for t≥0 and the…

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Q: Complete the expanded notation for 37,504,598. 37,504,598 =(x10,000,000) + (x 1,000,000) + (x…

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Q: I. Verify the following identities. 3.2cos √x= cos(2x-1) 0≤x≤1

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Q: Q- show that yo+(?) sy + (2) B²y_₁ = y + (1) DY...+ (1²¹) Ay -

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Q: 1² √2²-1dx

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Q: Fourier series fixis = x sinx ,xe (…,7)

A: The given problem is to find the Fourier series expansion of the given periodic function with given…

Q: Additional Activities What function will you differentiate to get each function? 2. f(x) = 8x74x³ +…

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Q: Suppose that G is a k-regular graph of n vertices, and m edges. The vertex connectivity of G is…

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Q: 3. Obtain series solution of the IVP:  (x+1)y''-(2-x)y' + y=0; y(0)=2, y'(0)=-1

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Q: sketch the plane in three-dimensional space represented by the equation z =-4

A: Introduction: The most standard form in which a plane is expressed is ax+by+cz+d=0 Here, a,b,c is…

Q: Find dw/ dt at the given value for the following functions Z 2 X Y x= cos² (t).y = sin² (t).= = =,…

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Q: Consider applying the method of separation of variables with u(x, t) = X(x) T(t) to the partial…

A: Given that ∂2u∂x2+u=∂2u∂t2-∂u∂t

Q: 3. (8x3+ 6x²5x + 11) dx

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Q: Solve by shooting method.

A: The differential equation given is as follows: x2y'''-xy''+2y=2x3+2 The boundary conditions given…

Q: Find the extreme values of f subject to both constraints. (If an answer does not exist, enter DNE.)…

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Q: Test the convergence and divergence of the following series, find the sum of convergent series.…

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Q: find x X-4X-5x + 6 11 3 7x²+9x-4

A: Note:- This problem can not be solved in 5 minute analytically but it can be solved graphically. So,…

Q: y' = -y(3-ty)

A: Given differential equation is y'=-y(3-ty)   Direction field of given differential equation is as

Q: Verify that f and g are inverse functions algebraically and graphically. f(x) = X+8 X-7' g(x) = 7x +…

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Q: et B

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Q: Determine the x-intercept(s) of the graph visually. Then find the x-intercept(s) algebraically to…

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Q: Question 1 Which of the following statements (for one dimensional systems) is/are true (if any)? 1.…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: 38. Which of the following is a disconnecting set? A. {ei, e7, e4, es} B. {ez, ez, e6, es} C. {e4,…

A: Given Graph, We have to find out the disconnecting set.

Q: Question 3. Calculating Limits Using the Limit Laws Find the limit, if it exists. If the limit does…

A: Sol

Q: Exercise Find x,y and z from these equations by using Grammer Rule. x+y=1 ....... 1 y+z=1 ....... 2…

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Q: on 6 TOTO Mark Let M = R, and f: R→Y be a continuous map. Let A, BCY and K = A UB. (a) Give f-¹(K),…

A: here we can use the properties of continuous functions.

Q: 3x+5y>6 Find a solution that satisfies this inequality and a solution that doesnt. Show how you…

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Q: Q. Show that DY+ . + (7) + (2) , Y + C D + (2) ( y = لا

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Q: Consider the vector field shown in the following arrow map. Y ↑ ✓✓ V 5 3 1 x 2 3 4 5 Select the…

A: Solution :-

Q: 2. Prove that lim 2-4 2 using the e-d-definition.

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Q: Let y' = - ty + 0.1y³ and y(0) = 1.1. Use Euler's method to find approximate values of the solution…

A: Euler's method uses the formula: yn+1=yn+hf(xn,yn) to approximate the value of y at specific values…

Q: Convert the numeral to a numeral in base ten. AAE8 sixteen

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Q: 45. What is the connectivity (size of the smallest separating set) of the graph G? A. 3 B. 4 C. 5 D.…

A: Sol

Q: 33x - y = 77 and x + y = 55 Solve the system of linear equation by: 1. Elimination Method by…

A: Since you have posted multipart question and we can answer three subparts. So, answered the first…

Q: Example 3: Determine the coordinates of the centroid of the area that lies between the straight line…

A: Given that the straight line x=2y3 and the parabola x2=4y  and