1. Use sigma notation to write the right Riemann sum for f(x) = 2x³-7 on [-4,3] with n = 60. Then evaluate the Riemann sum using a calculator. Round your answer to the nearest whole number.

Q: - Let R=(Z9,+9,9). Find 1. Char(R) 2. Nilpotent ideals of R 3. Prime ideals of R.

A: Solution

Q: Set up, but do not evaluate, the integral for the surface area of the solid obtained by rotating the…

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Q: 3) Evaluate the iterated integral by converting the to polar coordinates . - √x²+y² dy dx (۹۰) ره ۹)…

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Q: Q3/Find the value of x If the approximation of the integral ff(x) dx by trapezoidal method is given…

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Q: 4. Given f(x) = 3x-6 and g(x) = x-2. Evaluate f(x)/g(x). 5. Given f(x) = 9x-5 and g(x) = -x+4.…

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Q: 2. Given the function_y=4log(2x+1)+3 . (a) State the domain, range and equation(s) of the…

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Q: The 3 x 3 matrix A has eigenvalues a, 2 and 2a. Find the values of a, ß and 0 for which 4A-¹ = A² +…

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Q: 4 Find a sinusoidal function that matches the given graph. If needed, you can enter =3.1416... as…

A: solution:-

Q: 1. Below shows the graph of y=2* ,sketch the graph of (a) y=(-2) (b) y= log₂ x (c) y= log₁x 2 -4 -3…

A: Solution:-

Q: 3) Find the volume of the solid under the plane z = x -y and above the region bounded by x = tan y,…

A: Note: According to our guidelines we can answer only first question 3)

Q: (32) Find the derivative: cos(x) de (Jade) √ 1 - 13dt) (S dx

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Q: The set is called the standard basis of the space of 2 x 2 matrices. Find the coordinates of M=…

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Q: Q 1- Find the solution to the following system of equations using the Gauss-Seidel method. 10x + 2y…

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Q: Basis: Find a basis of the row space of the matrix EE A = 03 -1 -1 3 0 1 -5 1 4 1 0 1 -2 -1 -6 5 -2…

A: First reduce into echelon form then find basis of row space, as in next step.

Q: Economics Consider the following in normal form: B S B 4,2 0,0 S 0,0 2,4 a. Is there a Nash…

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Q: Using the stability criterion by means of bilinear transform (Tustin), find if the system is it…

A: Given : F(z) = z4-z3+0.5z2+0.5z+0.5a0 = 1a1 =-1a2 = 0.5a3 = 0.5a4 = 0.5Finding stability :1. an =…

Q: 2. Find the eigenvalues and eigenvectors of A = 2 1 0 121 O 1 2

A: Solution :-

Q: Use Laplace transform to solve the partial differential equation: dy dy +xt where y(x,0)= 0,…

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Q: Show that if 4, and A, are two events, then P(A₂)+P(A₂)−1≤P(44₂).

A: First we will write Inclusion-exclusion principle for two sets.

Q: arctan dA Xx Calculate where R={(x, y) / x² + y² ≤ 4, x² + y² ≥1, y ≤x≤ 0}

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Q: Problem 14 problem: Using the Laplace transform, solve the following initial value y" + 4y + 3y = e,…

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Q: 20) If y = a e/, then radius of curvature p = a sec² 0 cosec 0, if (a) 0 = tan-12 (b) 0 = tan ay -1…

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Q: discuss the following if a is a boolean algebra , then there exists a set x, and a 1-1 homomorphic…

A: Solution: Let a and b be Boolean algebras. A function f:a→b is called a Boolean algebra…

Q: 10 5-2 sin 8 a. find the eccentricity and identify the type of conic; b. write an equation of the…

A: Please post your doubts only.

Q: Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f(x,y) =…

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Q: Q3 :- :- if you know the standard deviation = 3 for measured data, what is the variance ?

A: Given in question  Standard deviation = 3

Q: he point of inflexion of the curve r = b0" are given by Love (a) r= b[-n(n+1)]"¹² (b) r =…

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Q: Find

A: Please find the answer innext step

Q: (32) Find the derivative: d dx (J cos(x) √1-t²dt

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Q: Integrate from f(x) = x4 from 0 to 1 by (Trapezoidal Rule) with h = 1, h = 0.5, h = 0.25 and…

A: Here, f(x)=x⁴ So, I=  Integrate from f(x) = x⁴ from 0 to 1. Now we can solve by Trapezoidal rule,…

Q: If A, B, C are sets, show that a) Ax B=0 ⇒ A=0 or B = 0). b) (AUB) x C = (AXC) U (BxC). c) (An B) x…

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Q: Q: Define the concept of the ring. Is (Z+.) a ring? What's about (Z, +,.)?

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Q: 7. Find the value of K, so that (x + 4) is a factor of P(x) = 2x³ + x² - kx + 20. 8. Find the value…

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Q: Problem 13 Compute the three following inverse Laplace transforms: 72 8s 12 L-1 (²-3), 2-1(8+6}, and…

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Q: 1.4 Exercises from Mathematics of Finance: An Intuitive Introduction In the Olympic finals, only…

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Q: 35040 MOD 76397. Explain how and why Pollard's p - 1 factorisation method works.

A: Given: p-1 To find: Pollard method

Q: with graph Using a triple integral, find the volume bounded by the plane z = 2 and f(x,y) = 10 - 2x²…

A: This is a problem of multi-variable calculus.

Q: @ Fs [ f(x)} = -P Fc {f (x)} ap 2 proof: H.W.

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Q: Iff(x, y) = log (x² + y²), then f +f, is equal to yy 1 (a) x² + y² 2 (b) 0 2 1² - x² (c) (d) (x² +…

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Q: Let f, g be two functions defined from R into R. Translate using quantifiers the following…

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Q: which one one of the following statements. As incorrect 55 @B = [²16 SAT -5 ]-XBT)T=B --26 Sint -9 b…

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Q: Exercise (1-3): By Charpit method solve the following PDE (3): p²-q²y = y²-x² (4): (y² +4)xpq −2=0

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Q: Use Laplace transform to solve the partial differential equation: d²u du ди(x,0) t> 0, 0<x<1, u(x,0)…

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Q: Define the concept of isomorphism of groups. Is (Z4,+4) (G,.), where G={1,-1.i.-i}? Explain your…

A: Lets solve the question.

Q: show that Q (rational numbers) is negligible set.

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Q: rumour quickly spreads among the students at school. After days, the number of students who have…

A: Note: The first derivative of a function at a given point gives us the instantaneous rate of change…

Q: Find the area of the region to the left of the parabola x = 7y², to the right of y-axis, and y = 1.…

A: Given curve is x = 7y2 and  y = 1

Q: Suppose that A is a 3 x 12 matrix, and that 7(x) = Ax. If T is onto, then what is the dimension of…

A: We know that the null space of a matrix A of order n×m is the number of linearly independent…

Q: Why is the answer B?   True or False: Whenever a system has free​ variables, the solution set…

A: Introduction: The basic variables and free variables are very significant in matrix. Especially, in…

Q: Problem 65): Solve the following PDE problem. using Laplace transforms: a²u = c². ²u дх2 + sin(x)…

A: Introduction: Apart from solving ordinary differential equation with prescribed initial values,…