7) y=-x-1 --6 ---15-4-3-2-1 What value for x makes the equation true when y=-5? Show work on the graph, and algebraically below: tion true when y = 3? Explain

Q: Q2/ Find the distance between the Line 2x - 2y + 1 = 0 & 3z + 2y = 4 to the Z-axis.

A: We have to find the distance between the line  to the axis

Q: 4) Create a Venn diagram to illustrate A U (C' U B)

A:

Q: 2. (a) (b) Simplify the following expressions. tan(-0) sin(7-8) 1+cos (2+0) cos(+0)

A: The given expressions,(a) (b) .The aim is to simplify the given expressions.

Q: Let L: R³ R³ be the linear transformation defined by 0 4 5 -4 2 -1 Let [4] = L(x)= E = 0 0 X. be two…

A:

Q: 4. If you are given the graphs of two functions, f(x) and g(x), explain how can you determine the…

A:

Q: Use the RK4 method with h = 0.1 to approximate y(0.5), where y(x) is the solution of the…

A:

Q: Use Stokes' Theorem to evaluate: where 11 curl F ndS F(x, y, z) = xi+yj+xyzk and S is the part of…

A:

Q: 17. Given the functions f(x) = sinx and g(x) = -x² + 4, determine the domain of the combined…

A:

Q: 21. Simplify the following Boolean expressions to a minimum number of literals using Karnaugh maps.…

A:

Q: X f(x) 0 1 0,1 7 0,2 3 0,3 3,945 0,4 5 0,5 9

A:

Q: In this question, PA(z) denotes the characteristic polynomial of an n x n matrix A and mA(z) denotes…

A:

Q: (a) Solve the inhomogeneous 1st order equation Uz - Ut = cos t I U(x, 0) = 0.

A:

Q: Consider the following 2nd order PDE, Uzz +2Uzy + 4U₂ = 0. (i) Write down its principal part and…

A:

Q: (6) Let {fn} be a sequence of measurable functions. We say that fn tends to f in measure if for any…

A:

Q: Let R[x] be a linear space with all polynomials p(x) = ax²+bx+c (a, b, c E R) whose degree is no…

A:

Q: 4. (a) Solve the following system of equations: 3 = la =0 slin 5 2-1= la-ta 22 la-ta 22 + + 1/3 173…

A: Given system of equations:We have to solve the given sysem of equation:

Q: Determine whether each of the following series are convergent or divergent.  iii. ∑ (n - 3) /…

A:

Q: and the value of contour Integral if C is the circle |z - 2i = 2 e3z dz z² +4 $

A:

Q: a.) Do nontrivial solutions exist for the following equations? 1 0 1 0 1 0 2 2 2 XI X2 | = | 0 X3 0

A:

Q: NX 1. y=sec. 2. y=-sec π.χ 4

A:

Q: I bought a new gas lawn mower the other day. This new mower mows faster than the old electric…

A: The objective of this question is to calculate the time saved by using a new gas lawn mower compared…

Q: again

A: Let be the three distinct positive real numbers, and let B be the subset of ..

Q: . Consider a constrained optimisation problem with the objective function f(x)= 3x +2y and the…

A:

Q: 5. Evaluate !!! G xdV where G is the solid enclosed by z = 0, z = 3, y=-3, y = 0, x = 0 and z = x²6x…

A:

Q: b). 1 x-2 + x-1 x²-4 = x+4 x+2

A:

Q: Q11: Let vector v = (-7, 5) and vector w=(2, 2). Write vector v as the sum of two orthogonal…

A:

Q: In Problems 15-40, use the disk or washer method to find the volume of the solid of revolution that…

A: We have to use disk or washer method to find the volume of the solid of revolution that is formed by…

Q: Calculate the integral of f(x, y, z)= e over the tetrahedron W in the figure (the region in the…

A:

Q: Using the Third Isomorphism Theorem, or otherwise, prove that if H₁ and H₂ are subgroups of an…

A: The objective of this question is to prove the relationship between the orders of two subgroups H1…

Q: Let 0 < a < b. Consider the functional rb S[v] = [°* dx x³ (v² – ³v³). - Show that the…

A:

Q: What is the solution or solutions of 3* = 5x?

A: In this question we will find the solutions of 3x = 5 x.

Q: Determine whether each of the following series are convergent or divergent.  ii. ∑ 1 / √n! + 2…

A:

Q: Consider the following equation, and solve algebraically for m in terms of the other variables. ma,…

A:

Q: Where does the s+4 come from on step 2 (line 6)

A:

Q: Let V be a real vector space with basis v₁, V₂ and define a dot product by V₁ V₁ = 1, V₁ V₂ = V₂ V₁…

A: The objective of this question is to find the values of A for which the given vector space V with…

Q: Compute || A||||A|A|A A = 1 -1 1 1

A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

Q: The input-output relationship of a system (mechanical or electrical) is described by the following…

A: The order of a differential equation is determined by the highest derivative present in the…

Q: Let Riz be a linear space of all polynomials p(x) = ar²+bx+c (a,b,c & R) whose degree is no more…

A:

Q: An infinite series "is" the limit of its partial sums

A:

Q: The solution u(r, 0) of the Laplace equation on a circular disk of radius 3 1 8²u r² 20² 1 a, du.…

A:

Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about…

A: Given graph isWe have to use the shell method to find the volume of the solid generated by revolving…

Q: e) the set of nonnegative rational numbers My solution to le)....(Check whether I'm correct)

A: The well-ordering property of N states that “For all sets S⊆Nsuch that S=∅, there exists a least…

Q: Out of the letters P, Q, R, x, y and z, how many arrangements can be made (i) beginning with a…

A:

Q: Let f: X → Y be a continuous map between topological spaces. • We say f is open if for every open…

A: Let's analyze the inclusion map , where is a subset of , and investigate whether it is an open or…

Q: (b) Consider the following set of real numbers: 3n² +n +3 A-3+N} CR { n³ n = :n Prove that A is…

A: (b) Given that (i) Noted that So we have 0 is lower bound and is upper bound of A .Hence A is…

Q: When a ball is thrown, the horizontal distance travelled, d, in metres, can be modelled by the…

A: Given that,When a ball is thrown, the horizontal distance traveled, d , in meters, can be modelled…

Q: (c) Consider the mapping T : R³ → R³, defined by T(x) = Da where D = 3 0 1 1 4 -4 -3 The…

A:

Q: 4. [3/3 Points] DETAILS PREVIOUS ANSWERS SCALCCC5 6.2.008.MI. Find the volume V of the solid…

A: The objective of this question is to find the volume of the solid obtained by rotating the region…

Q: X y 3 0.6347 3.1 3.3 3.6 3.8 4 0.4534 0.4328 0.3879 0.2345 0.1934 4.3 44 0.1254 0.1154 According to…

A: your given question are different questions so,as you asked multiple questions  , according the rule…

Q: The centre of mass (x,y) of an object of constant density occupying a ff xdxdy, 1 region R in the…

A: Here given region is  bounded by Hence if  be the centre of mass of given region obtained by the…