9. Write the Egyptian numeral for 1,234,567.

Q: 6) Find the exact area of the surface generated by rotating about the y-axis the curve defined by…

A: If a curve y=f(x), a≤x≤b is rotated about y-axis is obtained as  The surface area is given by…

Q: BONUS. Write the Mayan numeral for 999,999.

A:

Q: 26. Use the the lattice method, Egyptian algorithm or the Russian Peasant method to find the product…

A: Question can be solved using Lattice method of Multiplication.  Write both numbers outside…

Q: f(x, y) dA with the following R. You can use any integration Set up iterated integrals for order or…

A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

Q: Find the integrating factor and the general solution of the following differential equations. 6.…

A:

Q: List the elements of the set {x|x EZ and x² < 40}.

A:

Q: A fundamental fact is that if we are working on a closed, bounded inter [a, b], then any continuous…

A:

Q: Find the critical points for the function f(x, y) = x² − 2xy + 3y² – 4y and classify each as a local…

A:

Q: the point 225. Consider the pyramid with the base in the xy-plane of [-2, 2] × [-2, 2] and the…

A:

Q: all, separated by commas.

A:

Q: 5) Find the exact length of the curve defined by 1≤y≤8 5+2y%2 3 in the interval

A:

Q: Find a bound on the error in approximating the definite integral using the following methods. (Round…

A: We need to use error bound for trapezoidal and Simpson rule  For trapezoidal  rule ET≤K(b-a)312n2…

Q: Let W be a subspace of Rn, and let x be a vector in Rn .Prove that x is orthogonal to W if and only…

A: It is given that W is the subspace of the vector space ℝn. This means that the basis of the subspace…

Q: Use cylindrical coordinates to evaluate the triple integral SSS √x² + y² dV, where E is the solid…

A:

Q: 9. Determine whether S is a basis for R³. 10. Determine whether S is a basis for P₂. S = {(0,3,0),…

A: Let V be a vector space and S be a subset of V then S is basis of V if and only if  i) S is L.I ii)…

Q: If A = [a1, a2, a3] has as columns the three vectors a1, a2, and a3. What is y = Ax, where x is a…

A:

Q: Find the general solution of the following differential equations: 3. dy dx = X (x²y+y³)

A:

Q: 2) Consider the function g(x) = 10 - x² over the interval [1,3]. I want you to approximate the…

A:

Q: Let a, b 0. Find f(100) (a) provided that f(x) (x - a)³ (a - bx)²*

A:

Q: A closed rectangular box has volume 60 cm³. What are the lengths of the edges giving the minimum…

A:

Q: 19-22. Sketch the graph of a continuous function f on [0, 41 satisfying the given properties. 20.…

A:

Q: Equations Linear in Two Variables 2. (2x+3y-1)dx + (2x+3y + 2)dy=0 x(3) = 1

A:

Q: 9. Define a relation R on {-2,-1,0, 1, 2, 3, 4, 5, 6, 7} by a R b if and only if 3a+b is a multiple…

A:

Q: ermine if the conclusion follows logically from the premises.  You must submit proof either with an…

A: Here, in the question, it is given a conclusion with logical premises. We have to see what can be…

Q: 2. Determine whether each set described is a subspace or R2. Justify your answer. H (a) The set of…

A:

Q: Evaluate the triple integral JJ (x + 3y) E is bounded by the parabolic cylinder y = 9x² and the…

A:

Q: Consider the curve given by the polar equation An sketch of the curve looks as follows: T= cos(30).…

A: The given problem is to find the intervals of the theta for the given r(theta)=cos(3 theta) shaded…

Q: a local maximum (c) Point R is a local minimum (d) Point S is Op a saddle point none of these 01 -1…

A:

Q: Find the general solution of: y" - 3y - 4y = 4x² No conditions are given.

A: The given differential equation is y''-3y'-4y=4x2. We have to find the general solution of the…

Q: 4) In each part, determine whether the integral is convergent or divergent. 5 3 D 00 √x dx b) 0 - dx…

A: Solution to the integrals.

Q: Find the critical points of the function f(x, y) = x¹ + y² − 64xy Answer: Starting with the point…

A:

Q: #6 Normal Distribution a) Shade Z> -1.4 b) Find entry for Z = 2.02

A:

Q: would the answer remain the same if the question only asks for the first octant?

A: For 1st octant x.y.z ≥0 , previously volume found was bounded by all 3 surface some part of which is…

Q: Consider the problem of solving Ax = b for the unknown x € R² with a (a − 1) ( (a-1) (a-2) where a R…

A: a&gt;2 |a|=a  |a-1|=a-1  |a-2|=a-2  ||A||=max{|a11|+|a12| , |a21|+a22|} ||X||=max{|x1| , |x2|}…

Q: Recall that i = √-1 € C, and let 0 € R. Prove that for all integers n ≥ 0, we have (cos+ i sin 0) =…

A: Given, cosθ+isinθn=cosnθ+isinnθ For n=0 cosθ+isinθ0=1                               =cos0+isin0…

Q: Prove that if A is similar to B then , AT is similar to BT

A: We know the definition of similar matrices, Suppose A and B are n×n matrices then A and B are…

Q: Define a relation R on N by m R n if and only if m #n. Explain why 8. this relation is or isn't…

A:

Q: 3p + 151. Suppose the demand for a product is given by D(p) = A) Calculate the elasticity of demand…

A: Demand function: D(p)=-3p+151 Elasticity of demand is given by E(p)=-[pD'(p)]/D(p)

Q: An sketch of the curve looks as follows: do & -0.5 05 (a) Finds numbers a, b such that {r = cos(30);…

A:

Q: 7. (FE) Let A = a b C de f and B = 2a 26 a+d b+e 9 h 2c c+f i (a.) By using permutation approach,…

A:

Q: Use spherical coordinates to evaluate the triple integral e¯(x²+y²+z²) x² + y² + z² SIS E Answer: =…

A:

Q: (7) Consider an elliptic curve E : y² = x³ + bx+c (mod p) where p is a large prime. Let P be a point…

A: It is given that the elliptic curve, E:y2≡x3+bx+c, where pis a large prime. It is required to…

Q: Find three positive real numbers whose sum is 41 and whose product is a maximum. Enter the three…

A: Let the three numbers are x,y,z. Sum :- x+y+z=41 Product xyz should be maximum.

Q: Show that the sequence (sn) W 2n² +1 ECO

A: Introduction: A sequence Sn is a convergence to a point a, when, limn→∞sn=a that is the limit n tens…

Q: 3. Consider the sets A = {0, 1} Which is the following statements is TRUE? (a) 0 EAN B (b) 0 € An B…

A: Here B={{0},{1},{0,1},∅} 1. Statement (a) is false as  ∅∉A⇒∅∉A∩B. 2. Statement (b) is false as…

Q: Find the least-squares line for the given data (2,1),(3,2),(4,3),(5,2)

A:

Q: Problem 2 For the following set of ODE's using Laplace Transform. dy₁ + 2y₁ + y₂ = 2 dt dy2 +y₁ + y₂…

A:

Q: Given sets A, B, and C, such that |U| = 60, |A| = 25, |B| = 12, |C| = 11, |AB| = 8, |AC| = 5, |BC| =…

A:

Q: 6. Consider the functions f, g: R → R defined by the formulas 1 x² + 1 f(x) = and g(x)= x + 1. Let A…

A: