If the common difference of an Arithmetic series is 6 and the 4th term is 10, what is the value of the 1ST term of the sequence?

Q: - Develop the Maclaurin series for cos (2x) eep to terms in X4 what is the greatest truncation error…

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Q: (d) Solve the differential equation given that y(0) = 1. (ex + y)dx +(2+x+ye³)dy = 0,

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Q: Consider the following transformation below : i. Determine whether the transformation is linear c…

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Q: gh. Can √5 be approximated through fixed-point iteration? Define a f(x) and a g(x) to do this if it…

A: To show : 5 is approximated by fixed point iteration or not.

Q: 65° A D What is the measure of ABE? B C E 37°

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Q: Find the centroid of the plane area bounded by the parabola y = 6x - x² and the line y = x

A: To Find: The centroid of the plane area bounded by the parabola y=6x-x2 and the line y=x

Q: Q2 a) { ] Show that the equation 4x - 8y + 12z + 2x² + 2y² + 2z² = −20 represents a sphere, and find…

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Q: 15. Find algorithms for getting the third and fourth roots of N that are similar to that in Exercise…

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Q: Use the comparison test to show that lim ootu 6n +n³ 5n - n³

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Q: Which of the following satisfies the statement f(x) is O(g(x)) when x5log(x+1) f(x) = +16x²? -5x3…

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Q: Suppose the mean percentage in Algebra 2B is 70% and the standard deviation is 8%. What percentage…

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Q: 7. A banquet hall calculates an 18% tip of the bill before tax for the waitstaff. The waitstaff…

A: a) banquet bill before tax and tip is $1348.24 claim- how much is the waitstaff tip before paying…

Q: Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until two…

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Q: Q-4: Let T: R³ a) Show that I is a linear transformation. b) Describe R(T). What is the dimension of…

A: The linear operator is T : ℝ3→ℝ3 defined by Txyz=x-y-z2z

Q: Translate into symbols. Use E(x) for “x is even” and O(x) for “x is odd.” a. No number is both even…

A: Solution: Given, Suppose x is any number then E(x) represents x is even and O(x) represents x is…

Q: 15. A 2-scoop ice cream cone is made using two spheres of ice cream with a 4 inch diameter on top of…

A: We have to find the volume of the spheres and the cone. Then we can proceed further.

Q: Renting a car costs $40 per day or $750 per month. Renting daily is cheaper for a few days, but…

A: Rentinng of car per day = $40 Monthly charge= $750 Let after x days daily price will be more than…

Q: Problem 2.2. Consider the ODE u(t)= u(t), 0 < t < 1; u(0) = 1. Compute its Galerkin approximation in…

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Q: solve the following linear programming problem using graphical method Min (z) = 300x₁+200x2 S.T.…

A: Min(z)=300x1+200x2S.T.20x1+20x2≥16030x1+10x2≥120x1≥0, x2≥0 We have to solve using graphical method

Q: 3) Convert the following triple integrals to cylindrical coordinates or spherical coordinates (do…

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Q: 4. At which points does the function f have absolute maximum or minimum, or local maximum or…

A: Sol:- From the Above graph , it is clear that ,

Q: Find the MacLaurin’s series of f(x) = x5 sinx2 (2n+1)! (-1)"}x#n+2 (−1)" A. Σ=o 50 B. En=0" C. En=o…

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Q: 12. x' 2 글1 - x, x(0) = 1

A: We will follow the eigenvalue approach.  Find find the eigen values and eigen vectors . Then general…

Q: 3. x' = 3/2 +|+ X

A: Given x'=-321-14-12x ………………(1) First, we find the eigenvalues of the coefficient matrix A…

Q: Q.4: Find the third order Lagrange interpolation polynomial using the following table to compute…

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Q: . Define with example Injective Function Surjective Function Bijective Function i) ii) iii)

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Q: A function y = f(x) is defined and continuous for all x. This function satisfies all of the…

A: Given that the function  y=fx is defined and continuous for all x. Solution (a): According to the…

Q: Use variation of parameters to solve the differential equation x²y" + 10xy' + 8y = x².

A: The given problem is to solve the given differential equation by using the method of variation of…

Q: Clearly illustrate with explanations why lim 10D *→00 80,012 #100

A: We have to show that limx→∞x100e0.01x≠100 We can see that limx→∞x100e0.01x is of the form ∞∞ Apply…

Q: 9 h(q) 1 1.5 2 2.5 233 667 1906 82 3 5446 Estimate h' (2) using the table above. Use points on…

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Q: 7) Find the mass and the center of mass of the lamina with density 8(x, y) = grams/cm² and occupies…

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Q: 1) Let A be a and r(a) < 1 Banach algebra with unit, let at A Then (1-a) is invertible and ¡M8 (1-a)…

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Q: The list shows the test scores of students in a math class on the midterm exam.         84, 95, 76,…

A: Given that: 84,95,76,84,87,90,93,81,57,78,85,92 The objective is to determine the solution. Now…

Q: Q.3: Solve the equation; (taken the equations equal to k² only) a²u at² a²u 0x² 4-

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Q: (c) (1) (2) (3) (4) The following sketch shows AABC, with vertices A(p;8), B(-2;-2) and C. T(1;9) is…

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

Q: 10. x 유 3 4 X, x, x(0) = (2 ; see Problem 2.

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Q: B/ Put the following program in matrix standard form Min (z) = 10x₁+11x2 S.T. X1+2x₂ ≤ 150 3x₁+4x₁ ≤…

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Q: Given the scalar functionf (x, y) = 2xy, calculate the line integral along the ellipse curve+= 1…

A: To Evaluate: ∫CF·dr, where F(x,y)=2xy and the curve is  C: x29+y24=1.

Q: (a) Consider the differential equation dy dr (i) Solve the equation. (ii) Does the IVP consisting of…

A: Since you have posted a multiple question according to guildlines I will solve first(Qa)   question…

Q: Q.1: Solve the differential equation below; xy' + 4y = 8 x¹

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Q: 5. Find the orthogonal complement of matrix M given below. -4 M = -3 05 1 3 2

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Q: AX=B 10 18.5 37-1 18.5 37.1 78.8 174.9 37.1 [A, B] до 78-8 I al a2 $2.6 = -14.0 -63.2 -63 10 18.5…

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Q: B/ solve the following linear programming problem using graphical method Min (z) = 300x₁+200x2 S.T.…

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Q: Consider the differential equation 12x²y" + 23xy' + (12x² - 1) y = 0. Determine the indicial…

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Q: the point (-2, 0). Find the minimum rate of change of f(x, y) = x²e-2y at

A: Given: A function f(x, y)=x2e-2y and a point (-2, 0). To find: The minimum rate of change of a given…

Q: Is the evaluation the following improper integral true or false? Clearly explain/show with…

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Q: N -10+ -30+ (x)+(x)=x too-

A: Graph of h(x)=f(x)+g(x) is given where f(x) is cosine function. To determine: The function g(x).

Q: Ex: the function f(x) = 2 * sin(x) = 2/4-1 is Zero for two values near x=-5. use bisection to find…

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Q: 5. Which of the following formulas are in CNF? a. (q^r) ⇒ (p ^ (q Vr)) b. p^((q^r)) ⇒ (q^r) c. d. ¬q…

A: To find: which of the following are in CNF.

Q: The point P(12, -5) lies on the terminal side of a trigonometric angle....Determine the exact value…

A: Here given that P(12,-5) The terminal side of the trigonometric angle  It is clear from the…