3. When is the function increasing and when is it decreasing? f(z) = re==z3)? xe 2 f(x)=xe 4X2)

Q: Determine whether the vector field F(x, y, z) = (2x³ — 2x) i + (2y³ – 2y) j + (2z³ – 2z) k - is free…

A:

Q: 4. How much money should be invested in an account that earns 9.5% interest, compounded monthly, in…

A: We know the formula for Compound Interest ,  A = P1 + rnnt   ,  Where , A = Final amount…

Q: Which of the following functions parametrizes the portion of the curve x=y³-4 that starts at (-4,0)…

A: In this question , we can check one by one all option .

Q: z = y² lnx - and the point P (1,2) in its domain Consider the statements about the surface of…

A: Directional derivative of a function f(x,y,) in the direction of unit vector  u^=ai^+bj^  where…

Q: titute for x in 5x + y = 8 to solve the syster (5x + y = 8 x + 4y = 2 005

A: Option ( A) 2-4y is correct answer

Q: 12. Which of the following shapes is the missing section? LEDIE A B C D A ? BAGUIO CITY

A:

Q: 5 pts Question 1 Determine the equation of the tangent plane and normal line to the surface at the…

A:

Q: Let A = PDP-1 and P and D as shown below. Compute A4. 1 1 - 2 0 P= D= 2 - 2 5 01

A:

Q: 4. (a) If X is an infinite dimensional space, show that the set {x = x | || x || = 1} is not…

A:

Q: - 1 10 1 - 4 01 Select the correct choice below and, if necessary, fill in the answer box to…

A: We want to find product of matrices -7-11-41000

Q: Mathematically prove that two sets of orthonormal bases in R2 tensored together form a new set of…

A:

Q: Find a coterminal angle between 0° and 360° or between 0 and 2π radians. 4) 38π/15

A: Note: Coterminal angles are angles in standard position (angles with the initial side on the…

Q: he amount of goods and services that costs $400 on January 1, 1997 costs $428.68 on January 1, 2007.…

A:

Q: Bus # 99 and Bus # 135 both leave city hall station starting at 6:30 am. Bus # 99 runs every 15…

A: The starting leaving time and the running times of both buses can be used to calculate the next…

Q: QUESTION 9 Use the Fundamental Theorem of Line Integrals (FTLI) to evaluate ending at (1,3) O a.…

A: Line integral over the curve

Q: 1000 7. If a rectangular fence is supposed to have 3 pens, and in total enclose feet find the…

A:

Q: Find the total weights using greedy algorithm

A: Given:                                       To find: Total weights using Greedy algorithm.

Q: Write the group table for Z₂ XS2.

A:

Q: QUESTION 2 Suppose a relative of yours asks to borrow $50, which they agree to repay with $15 simple…

A: we have P0=$50I=$15 we will use the formula A=P01+rt

Q: Teorema de residuos: muestre que z=0 es un cero de orden 2 de 1-cos(z)

A: To show that z=0 is the zero of order 2 of the function  fz=1-cosz

Q: Fincl the root of the following using the method indicated. |a| < 0.0001 1. f(x) = sin x + e -2, co…

A:

Q: Give an example of a finite group that is not abelian.

A:

Q: Exercise 7. Prove (using the definition) that f(x) = √x² + 1 is uniformly continuous on [0, 1].…

A:

Q: For which values of t is each set linearly independent? (a) S = {(t, 1, 1), (1, t, 1), (1, 1, t)}…

A: Recall: If the matrix determinant is zero it means matrix is singular and In system of equations…

Q: Compute the product 0 () 0 (²) as a 2 x 2 matrix. What kind of isometry is this product?

A: Given product is  Oπ5O2π15 where Oθ represents rotation matrix through an angle θ in anti-clockwise…

Q: 9. 3 and 6 have an interesting divisibility rule. Find another number that has a similar rule.…

A: Divisibility rule of 3:  If the sum of digit is divisible by 3. Divisibility rule of 6: If number is…

Q: QUESTION 15 a) How many elements of order 2 are there in S5? b) How many elements of order 2 are…

A:

Q: Use variation of parameters to find a particular solution, given the solutions y 1, 2 of the…

A:

Q: The tip of a one arm robot is located at P(-6.1.-3.5) in. Find the length of the arm and the angle…

A:

Q: A demand function for a product is P = 100 – 2.2Q and its supply function is P = 2.8Q, where P is…

A: Given: The demand function for a product is P=100-2.2Q and its supply function is P=2.8Q, where P is…

Q: Mr. Tan borrowed P15,000 from the faculty fund at 13.25% simple interest for 210 days. How much…

A: Given:   Let Borrowed Amount (P')  = P15,000 and rate of interest = 13.25% ,  time period 210 days…

Q: Determine whether the Fundamental Theorem of Line Integrals (FTLI) can be used to evaluate…

A:

Q: Which of the following matrices shows that (3, 2) belongs to the relation it represents? (Select all…

A:

Q: a. Let V = (x, y, z, u, v). How many di exactly 6 edges? (Note that for graphs G₁ = (V, E₁) and G₂ =…

A: (a) We are given that the set of vertices is V=x, y, z, u, v. We are asked to find the number of…

Q: Let R be the region bounded by y=sinz, y = 0 and 2 = with 0≤ ≤. Find the centroid of R.

A: Centroid bounded by the curves

Q: 3. Let p and q be the statements Express each of these a.) p q b.) ~pv (p^q) p: I bought a lottery…

A:

Q: 1. Find all the cyclic subgrouops of Z1s and draw thier lattice diagram.

A: We have to find all the cyclic subgroups of Z18 and draw their lattice diagram.

Q: Provide the contrapositive to the statement below, then use a proof by contrapositive to prove that…

A: Solution

Q: Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. 3 4 49

A:

Q: A demand function for a product is P = 100 – 2.2Q and its supply function is P = 2.8Q, where P is…

A: Solution

Q: 7. How many non-negative integer solutions are there to the equation X1 + X2 + X3 + 4 = 16 such that…

A:

Q: Find an orthogonal basis for the column space of the matrix to the right. An orthogonal basis for…

A:

Q: Define T: (C¹ [0, 1], || · ||…) → (℃ [0, 1], || ||) by Tf = f'. Show that T is not continuous. Is…

A: T:C'[0,1], .∞→C'[0,1], .∞ T(f)=f' Let f(x)=xn then T(x)=nxn-1 T(x)=nxn-1 as n→∞,   T(x)→∞ So T is…

Q: If matrix of transformation A is both invertible and orthogonally diagonalizable, then A-1 is…

A: Answer is True

Q: HW12_1 Solve the following initial value problem to find y(2). dy = yt² - 1.1y, dt using midpoint…

A: given IVP  dy/dx = yx2 - 1.1y , y(0) =1 and h = 0.5  Midpoint method :-   y(2) = 1.36427

Q: EAT has been selling their very own Platinum Eco-Charger since the beginning of this semester. If…

A:

Q: nd sine half range for f(x) = \cos x for -1<x<1 COSX for 7<x< 0. f(x) COSX for 0 < x < π.

A:

Q: Verify the formula F.T ds = [[(curl F). ndS in Stoke's Theorem C by evaluating the line integral and…

A:

Q: (b) Show that the function : Z12 → Z12 defined by (a) = a + a is a homomorphism. (c) Find the kernel…

A: We know that a mapping ϕ:G, ∘→G', ∆ is a homomorphism if for all a, b∈G, we have, the property…

Q: QUESTION 2 Let G={ [**]; : xER, x=0}. Show that G is a group ✔ under matrix multiplication. Hint:…

A: