Problem #10: Find the flux of F(x, y, z) = yi − xj + 8k across S, where helicoid S is the with vector equation r(u, v) = (u cos v, u sin v, v), 0 ≤ u ≤ 1,0 ≤v ≤ 2.

Q: Consider the graph of y = f() shown below in blue. Submit your answer to this question by completing…

A: The given graph is a cubic graph (degree 3).Let  y = f(x) = ax3 + bx2 + cx + (-2)  be the graph (…

Q: . Find f'(-2) and f"(-2). . At which value(s) of x does f(x) have a relative extremum on [2,6]?…

A: Here we use the graph of f'(x) to find solutions. As per guidelines first three sub parts are…

Q: find an equation of the tangent line to the curve cos(x)+10y^2=xy^9+31 at the point (0, √3) assume…

A: Here we have to find the tangent of the line to the given curve at the given point.

Q: Assume that the matrices below are partitioned conformably for block multiplication. Compute the…

A: Given matrices

Q: 1. (i) Find a complete set of residues (i.e., congruence class representatives) mod 13 con- sisting…

A:

Q: True or false and why? Explain. If the tangent plane to z = f(x,y) at (0,0,f(0,0)) is 4 + 3x + 2y +…

A: Given statement isIf the tangent plane to z = f(x,y) at (0,0 ,f( 0,0)) is 4 + 3x + 2y + z = 0, then…

Q: (4) Directly from the definition of continuity, show that f: Ro→ R defined by f(x) = 1/2 is…

A:

Q: Suppose R is the shaded region in the figure, and f(x, y) is a continuous function on R. Find the…

A:

Q: Find parametric equations for the path of a particle that moves along the curve y = 5 − 4x² from (1,…

A:

Q: 5a. Let ICR be an interval and f: I→ R be monotone. Show that every discontinuity of f is a jump…

A:

Q: Use Stokes' Theorem (in reverse) to evaluate (curl 'S F).nds where F = 7yzi + 2xj +3yzek, S is the…

A:

Q: If (X, d_{1}) and (Y, d_{2}) are metric spaces, we define d: (X × Y ) × (X × Y ) \rightarrow R by…

A: Let X be a nonempty set with a mapping d:X×X→R is said to be a metric space if mapping d…

Q: augmented matrix have? a. b. C. How many free variables does each d. Choose Choose Choose Choose C 1…

A:

Q: an artist painted a 1 foot square painting. Now she wants to create more paintings of different…

A: According to Bartleby guidelines we are supposed to answer only the first three subparts of a…

Q: Solve the Cauchy-Euler equation 4t2y"-12ty' +20y=0 with intitial conditions y(1) = 5, y(1) = 6. y(t)…

A:

Q: An artist painted a 1 foot square painting. Now she wants to create more paintings of different…

A: We have used scale factor formula.

Q: 1025 f(x) -10 -4 20 f'(x) 1 5 11 f" (x) 2 2 2 g(x) -7 -1 83 g'(x) 3 7 58 g"(x) -4 8 26

A:

Q: Let X₁ 22 and XN+ ₁0 = 1 + √XN-1 for nEN. Show that (XN) is decreasing and bounded below by 2. Find…

A:

Q: 5. S = {S: S = (1/2'), n = 1, 2,...}

A: 5) Given set is    Noted that Thus we have So we claim that is greast lower bound of is least upper…

Q: Recall that n¡ (called subfactorial) is the number of derangements over n elements. Show that…

A: Subfactorial is the name of derangements over n elements.Show that:Factorial and Sub factorial are…

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y)=2xy-x²-6y² + 2x+4…

A: The given function is .The aim is to find the local maximum, local minimum, and saddle point of the…

Q: Let g: NQ be a function defined by 2n³ + 6n² + 4n 3 3 (a) Factor the numerator completely. (b)…

A:

Q: Letting y₁ (t) = 0(t) and y2(t) = 0'(t) = y₁ (t), show that equation (1) can be written as a system…

A:

Q: Find the values of p for which each integral converges. 2 a. 1 dx x(In x)P 2 a. For what values of p…

A:

Q: SHOW COMPLETE SOLUTION II. By integrable combinations, solve the following equations. (y² - xy)dx +…

A:

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y)=2xy-x²-6y² + 2x…

A:

Q: Suppose the characteristic equation for a matrix A is given by A³ + 3X² of the matrix A and give the…

A:

Q: FS Given the relations V and S below, use ordered pair notation to express the relation S o V.…

A:

Q: Write each proof. 7. Given: AB bisects LCAD and ZCBD. Prove: ACABADAB Statements 1. AB bisects CAD…

A:

Q: 19. Let H and K be subgroups of a group G. Prove that gH ngK is a coset of HOK in G.

A:

Q: FRQ (No Technology) The function f(x) is defined as f(x) = -2(x+2)(x-1)² on the open interval (-3,…

A:

Q: For n ≥ 1. Suppose u ∈ C^2(Rn ×[0,∞)) solves the heat equation u_t − ∆u = 0. Let u(x, t) =…

A: The heat equation ut−Δu=0 is a partial differential equation (PDE) that describes how a distribution…

Q: • - [!] -- [8] · d= e= (14) In Exercises 1-11, either show that Sp(S) = R² or give an algebraic…

A:

Q: Let the sample space S be the triangle with corners (0,0), (1,0), (0,1) with a uniform probability…

A:

Q: Prove by definition the following. a) lím (az + b) = azo+b, where a, b, zo complex constant and a #0…

A:

Q: Find the minimum and maximum value of f(x)=3x-7/x on the interval [2,11]. If the minimum value is…

A:

Q: Try to find an axiomatization for each of the following classes of structures.If you can find one,…

A: An axiomatization for groups that contain elements of arbitrarily large finite order is not possible…

Q: The curve x³+y³ = 3xy was first discussed in 1638 by the French philosopher-mathematician René…

A: Let f(x,y)=g(x,y) be the given curve then the equation of Tangent line at (a,b) is given…

Q: Consider the following tableau: P 0 0 1 X1 -1 1 X2 $1 S2 1 1 0 -1 0 1 -2 -1 0 0 0 a) Determine the…

A:

Q: Let q(n) be the sum of the squares of the first n odd numbers. For example: q(0)  =  0 q(1)  =…

A: If n is any odd integer greater than 0 (i.,e., odd positive integer) then it's general form is 2n-1…

Q: - [23²] 42-[ ] 4 - [3 ¹ A₂ = A3 = Let A₁ = A₂ + and B = n span(A₁, A2, A3)? No then express Bl as a…

A:

Q: Given the following conditions for f(x), which graph best illustrates f(x)? f(x): The domain of the…

A:

Q: Suppose A is a 3x3 matrix that is not invertible and such that tr A = 0. Suppose further that all of…

A:

Q: Explain how each of the following features relates to a function's derivatives and curve sketching.…

A:

Q: lease dont provide hand writetn solution

A: We are given two equations and we need to solve them.1)     To solve this equation we will use…

Q: Use the first four rules of inference (MP, MT, HS, DS) to derive the conclusion of the following…

A:

Q: Determine the kernel of the following linear transformation T: R³ R³ given by T(x) = Ax where 1 -1 2…

A:

Q: 3. (i) Find all solutions of the congruence 33x 12 mod 150. (ii) Use part (i) to write all solutions…

A: The general formula for solving a linear congruence equation is,where a,  b and m are integers, and…

Q: Find the general solution to y" + 8y" + 25y' = 0. In your answer, use c₁, c₂ and c3 to denote…

A:

Q: A lumber store stocks dowels in one standard length of 150 cm. Each dowel costs $20. A customer…

A: The  lumber store stocks dowels at a standard length of 150 cm.Each dowel costs $20Requirement of…