Use the graph of a function f to determine x or y to the nearest integer, as indicated. Some problems may have more than one answer. 0 = f(x) CID When f(x)=0, x=- (Use a comma to separate answers as needed.)

Q: Obtain the Legendre polynomial P4(z) from Rodrigue's formula Pn (2): = 1 d 2"n! dan [(2²-1)"]

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

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Q: 4. Discuss the solutions of the following system of linear equations with respect to parameters…

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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

Q: Question 1 Let M. be a compact set. Then. (A) M must be infinite (B) If (F) is a decreasing'…

A: here I used definition and some properties of compact and complete metric space

Q: (d) Find the solution y = o(t) of the given problem and evaluate o(t) at t = 0.1, 0.2, 0.3 and 0.4.…

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Q: FIND THE INVERSE LAPLACE TRANSFORM WITH COMPLETE SOLUTION AND SKETCH THE GRAPH -25 se (5² +17²) ANS.…

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Q: Find the Laplace Transformations of the following functions i. L{(sin t + cost)² - cos² 3t}…

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Q: Evaluate the integral and interpret it as the area of a region. ₁/4*-2x|dx Sketch the region. CHOICE…

A: Introduction: The definite integration is integration with limits. When we integrate a function over…

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: Q.1A) Express integral I y + x 4x-2y) =0, x= 1 and y=0,y-1-xto T. of u = dydx in terms of (u)and…

A: The given integral is                          ∬Ry+x-4x-2y2-412dy dx where R: x=0, x=1 and y=0,…

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: Find the surface area of the part of the circular paraboloid z = x² + y² that lies inside the…

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Q: 4. Find the inverse Laplace transform of 1/(s² + 4s + 5) Enter your answer

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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: Evaluate L-In (7-s) s²-4

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Q: Convert the numeral to a numeral in base 10. 60312 60312 = 10

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Q: 2.1) SOLVE x²y" + xy² + (2x² - 2)y = 0 BY BESSELS METHOD

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Q: 2 Consider the curve given by f(x)=x²³x + 5 find the equation to the tanget to the curve at point…

A: We know that a line which touches the curve fx at one and only one point is called a tangent line.…

Q: B. Solve the Initial Value Problem(IVP) for the following Nonlinear ODE (Bernoulli equation) y' + xy…

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Q: 5. The population of a deer herd varies sinusoidally with a period of one year. The population is at…

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Q: 4. Let f be a function that is continous on the interval [a, b] and f(a) = f(b) = 0. Then, it is…

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Q: 3(e). If it is true that the line integral F. dr 0 for all closed curves C₁ show that the line…

A: Given: 3C.For all closed curves C, line integral ∮CF.dr=0 and line intergral over a non-closed curve…

Q: 3 1. Show that x - 3x + 1 = 0 can be arranged to give the formula: -1 X = n+1 (x-3) Using a value of…

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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: 17. How many edges has each of the complete bipartite graph K5,13? A. 65 B. 75 C. 55 D. 45

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Q: (7) Find the area of the surface given by √x² + y² ≤ ≤√4-x² - y²

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Q: Sketch f(t) and find the Laplace Transformation of the following periodic functions t, 0 f(t) =…

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Q: 31. In any undirected graph the sum of degrees of all the nodes A. must be even B. are twice the…

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Q: ) Find the Laplace Transformations of the following functions L{e-t sin 3t+4e-t cos 3t}.

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Q: D. Graph the Cost, Revenue, and Profit functions. Label the axes, the functions, and the break-even…

A: Given: Variable cost=$30, Fixed cost=$60000, Selling price=$45 To sketch: D) Graph of cost, revenue…

Q: cigarettes, 101 drank alcohol regularly and used illegal drugs, 106 smoked cigarettes and a used…

A: let number of students used alcohol daily be A number of students smoked regularly be S number of…

Q: divisible by 3

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Q: Prove with complete and neat solutions. Use basic theorems if possible. 5. Show that the…

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Q: An example of a nonlinear third-order differential equation in normal form is con 160)

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

Q: Question 19 Use the simplex method to solve the linear programming problem. Maximize z = 5x1 + 3x2…

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Q: Write the following expression using one exponent: (25.35). Show process.

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Q: 5. The pie chart below represents Eliana's monthly budget. What percentage of her budget is…

A: Given: Pie chart below represent Eliana's monthly budget. To find: Find what percent of budget is…

Q: Question 26 Consider the differential equation 1 dy 1 zy=x², x>0. x² dx x3 (a) Find the general…

A: Introduction: A first order linear ordinary differential equation is generalized as dydx+Pxy=Qx The…

Q: Find the area of the region that bounded by r=1- cos(0)

A: Note: We are allowed to solve one question at a time. Kindly upload remaining questions as other…

Q: A dish contains 2 yellow, 4 red, 5 purple, 2 green, and 3 orange candies.  How many sets of 7…

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Q: Find the roots of complex numbers √√64 e¹.4i if n=4, k= 0,1,2,3 k=0, z1= k=1,z2= k=2, z3= k=3, z4=

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Q: B A D C

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Q: 27. The maximum degree of any vertex in a simple graph with n vertices is A.n-1 B. n+1 C. 2n-1 D. n

A: For a Graph with  n vertices, there are only n − 1 edges for any vertex to be adjacent to.

Q: x-1) (2y + 1) correctly describes of variables method

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Q: Solve the initial value problem ди Ә дудх (OH) - 4— = 0, u(0,y) =2siny, u(x,0) = х. = ду

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

A: Newton's divided difference formula for three points can be defined as :…

Q: 3. Fill in the blanks: To find a power series representation for the function f(x)=xln(5+7x), you…

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Q: Which of the following is a power series about base point 0 for the derivative of f(2)=z²e-²? O…

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Q: Find a potential function for F. 4x F=-i+ y 5-2x² y² -j {(x,y): y>0} A general expression for the…

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