ose wraps a gift box in the shape of a right rectangular prism. The figure below shows a net for the gift box. 6 m15 m6 m8 m6 m6 m How much wrapping paper did he use, in square meters?

Q: 3. Write 3 Cis 300° in a + bi form.

A:

Q: Find the area of the region bounded by e21.2.png f(x) = = a/4 + 3x – x² and the x -axis using Left R...

A: Left riemann sum  ∫ab  f(x)dx≈Δxf(x0)+f(x1)++f(x2)+....+f(xn-1)+f(xn)

Q: Within what interval would you expect the sample mean to fal

A: Given, the highway fuel economy of a 2016 Lexus RX350 FWD 6-cylinder 3.5-L automatic 5-speed using p...

Q: Prove (kindly provide reason/s) that for any real numbers m and n, (-m) + (-n) = - (m + n)

A:

Q: Answer T if the argument below is valid; F if it is invalid. No vegetarians eat meat. All vegans are...

A: The validity of an argument can be checked using the rules of inference. There are many rules of inf...

Q: Question 2 (-1)"n For positive integer n, let a, = 3n (a) Determine whether the sequence {a,} is con...

A:

Q: (1) Let X be a set and tEX, let t={GCX/ t€G or G° finite }, show that whether t is a topology on X o...

A:

Q: Find a linear mapping that maps the set S onto the S’ where S is the square with vertices 1 + i, –1+...

A: Given  S is the square with vertices z1=1+i, z2=-1+i, z3=-1-i, z4=-i and S' is the square with verti...

Q: Zoo authorities want to create several large enclosures so the animals can roam freely. Certain anim...

A: Zoo authorities want to create several large enclosures so the animal can roam freely. Certain anima...

Q: + 2x dx ニ I+x²y² x°y²+1

A:

Q: Find the fourth iteration value of z using the Gauss-Seidel method with an initial guess of (1, 1, 3...

A:

Q: 1. Prove that if T1: V W and T2: W U are isomorphisms, then the function T2 o T1: V →U is also an is...

A:

Q: Using Cauchy-Riemann equations, show that the function f(z)=(z+6)^2 is differentiable everywhere

A:

Q: Use undetermined coefficients to find the particular solution to y'' + 5y' + 6y = 3e t %3D Y(t) =|

A:

Q: You are going to visit all of the cities. You live in city A. Use the nearest neighbor method to det...

A:

Q: A grain silo has the shape of a right circular cylinder topped by a cone. The approximate area of th...

A: Concept: First we shall find the volume of cylinder using formula, V=base area×h where h is the heig...

Q: Application of Differential Equation. Solve for the orthogonal trajectories. у — Зх + 1 — се-3х –3x

A:

Q: 3. Prove if the function f : R → R is defined by the rule f (x) = 4.x + 1 for all real numbers x, th...

A:

Q: Q 2: Halley's iterative method for solving a nonlinear equation f(x) = 0 can be written as 2f(xn)f'(...

A:

Q: Topic: Laplace transform Find the solution of the differential equation which satisfies the indicat...

A:

Q: Construct the multiplication table for Z5 Using this table, or otherwise, determine the following x ...

A: Solution

Q: Problem 4. If A = aij is an nxn matrix, then the trace of A, Tr(A), is defined as the sum of all the...

A: Given A=aij is an n×n matrix The trace of A, TrA is the sum of all elements on the main diagonal of ...

Q: 2yı-y.cosx=-y3.cosx  solve differential equation

A: We need to solve a differential equation, 2y' - y cos x = -y3 cos x Divide both sides of differentia...

Q: Suppose that a family has 4 children. Also, suppose that the probability of having a girl (based on ...

A: The probability of having a girl is given as 12. Assume X as a random variable where n represents th...

Q: Evaluate the second derivative of e e22.1.png acos(b/x) f(x) = x2 if a = 123 and b = 0.5 at x = 6 us...

A:

Q: For all sets A B and c, of CAXC)- CBrC)# Ø, then A-B#¢.

A:

Q: Solve for the differential equations. (2х — у + 2)dy + (x— 2у + 4)dx %3D 0

A:

Q: The 2nd approximation to the real root of the equation ex- 4x = 0 with initial guess xo = 0.3 using ...

A:

Q: dx (x+5)+9

A:

Q: Enter the function f(x) = 9x ^ 2 - 54x + 85 the form f(x) = a * (x - h) ^ 2 + k where a, and k are c...

A: The quadratic function f(x)=ax2+bx+c represents a parabola. The vertex form of the quadratic functio...

Q: (1) -) Let o, t e S6 such that 1 2 3 45 6 1 T = 3 4 and 6. 4 3 5 1 2 1 6 5 4 Determine the following...

A:

Q: Help me solve the following problems. Show illustrations. Thank you! Two parallel sides of a rectan...

A: Given- Two parallel sides of a rectangle are being lengthened at the rate of 20 mm/sec, while the ot...

Q: Find integral of 24 du 2. (4²-1)²

A: We need to find ,  ∫2uu2 - 12du Now, plug ,  u2 - 1 = v ⇒ dv = 2u du  

Q: 3. Find the derivatives of y with respect to x: a) y = xe* - e* %3D b)' y = e(*x+=) %3D X. c) y = e*...

A: Multipart :   We need to find derivative of y with respect to x. (a) We have ,  y = xex - ex dydx = ...

Q: 1. Assume (X, o) and (Y, on X x Y as are groups. Let X × Y = {(x, y) |x € X,y E Y} and define the op...

A:

Q: the candidates are from the same party

A:

Q: Maximize p = x + y subject to X + 2y 2 20 2x + 2y 20 X > 0, y > 0.

A: To maximize p=x+y subject to following constraints x+2y≥202x+2y≤202x+y≥20x≥0y≥0

Q: 1. In the ring Z[r], let I = (r* – 8). (a) Let f(r) = 4r³ + 6x* – 2r³ +x² – 8r+3 € Z[r]. Find a poly...

A:

Q: 27. Water is pumped out of a lake at the rate R(t) = 12, cubic meters per minute, where t is measure...

A: according to our guidelines we can answer only three subparts, or first question and rest can be rep...

Q: Calculate f 4y dydx, Where R is a region bounded by y=x² and y=-3x-2 R

A: The given question is related with double integral . Given that R is a region bounded by y=x2 and y ...

Q: = x2 – 5x + 7, what ar x- 2)?

A:

Q: Problem 7. Let A be an mxn matrix and a be a real number. Show that if aA = 0mxn; then a = 0 or A = ...

A:

Q: 1. Express the following as a single log 3log xy-log x +log y a) 6log x b) 3log x c) 6log y d) 3log ...

A:

Q: 5x+16y+10z = 45 3x+2y+7z =17 5x+y+3z=9

A: The given equations are 5x+16y+10z=453x+2y+7z=17  5x+y+3z=9 Here, we have to find the third iteratio...

Q: 2 Let f (z) = |z+ 7|? Part (a) Using Cauchy-Riemann equations, show that f (z)is not differentiable ...

A:

Q: In the ring ], let I = (x²_8) O Prove that the quo tient ring [a]/Ix not an integral domain.

A:

Q: 7) The ODE for O looks very simple. We have boundary conditions that e must be 27 periodic in order ...

A:

Q: Evaluate e21.1.png aln(v) dx using Trapezoidal Rule with 8 equal intervals. if a = 14.49, b = 2, and...

A:

Q: Use the substitution x = e' to transform the given Cauchy-Euler equation to a differential equation ...

A: When a differential equation is written in the form of xndnydxn+xn-1dn-1ydxn-1+...+xdydx+y=fx The eq...

Q: Find the shortest path in graph H from a to f using a tree diagram. The tree diagram below is missin...

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.