(3) Write the equation of the plane which is perpendicular to the vector ñ² = (2₁-1₁-2) and touches the elliptic paraboloid 4x² + 34² = 24 2 SO

Q: 17. Given 2x+4 — 2x+3 = 1, find x.

A:

Q: Find F(s). F(s) = 4/(s² + 16) -4 exp(TTS)/(s² - 16) s exp(-TTS)/(s² + 16) 2 exp(-TTS)/(s² - 4) 4…

A: Solution:-

Q: Let R be the region inside the ellipse x = 4 cos 0, y = 3 sin and outside the circle x = 2 cos 0, y…

A:

Q: Suppose that Fiona likes cashews better than almonds and likes almonds better than walnuts. She…

A: Given:  Suppose that Fiona likes cashews better than almonds and likes almonds better than walnuts.…

Q: 6. Evaluate the following real integrals by residue theorem 3 & •S= Sin H соз mx ~ (x²+a ²) (x²+ b²)…

A:

Q: Consider the following system of linear equations, 3x3 + 2x3 + 2x1 X1 3x1 -2X₁ + X2 + 2x₂ - - X4 2x4…

A: Given system is 2x1+x2-3x3+x4=-1x1+2x2-2x3+2x4=73x1-4x2+3x3-x4=0-2x1-x2-5x3+4x4=-3 We can write…

Q: after the table. of the Xn Xn=3-(-1)" X = cos os (2) lim inf(x) lim sup(x)

A: To find the limit infimum and limit supremum of  the given sequences.

Q: A bridge is to be constructed to pass over a road, and a surveyor is sent to take some measurements…

A:

Q: Consider a nonlinear system for two populations with equilibrium points (0, 0), (0, N), (), and…

A:

Q: 1. On Supplements of equal angles are equal S A E C Ange S is the supplement of Angle A, as angle G…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Consider the following vectors: a = 5337 -3 Nº 71 = = For each of the following vectors, determine…

A: Given vectors are a→=53-3-1, b→=-501-1, c→=-5-672, v1→=1015-16-6, v2→=-503-2, v3→=75-2-2   To…

Q: Find all the basic solutions of the following LP problem Maximize Z = 2x₁ − 4x2 + 5x3 − 6x4 Such…

A: There are 4 variables and 3 constraints. So, we obtain the basic solution by putting 4-2=2 variable…

Q: Convert the measurement 5m= cm

A:

Q: Travel distance taxation rates Find the distance between two cities using the information given in…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: 2. Determine the Laplace Transform of the signal shown below. Only one cycle is shown but the signal…

A:

Q: Solve the following the initial value problem 0) = [₂] x = = 1x x, x(0) =

A:

Q: The volume of a cone is equal to one third of the volume of a cylinder that has the same height and…

A: The equation that represents for cone height of the cone is inversely proportional to the area of…

Q: Find the solution of the initial value problem y" + 4y + 5y = 0, 3) = 0, y = 6. Y (7) تھی y(t) = -6…

A:

Q: Use Green's Theorem to evaluate the line integral √(x − x) dx + (2x - y) dy (y- for the given path.…

A:

Q: Let x, y, z be three vectors in R². Assume that & = {x, y}, F = {y, z}, G = {x, z} be three bases…

A:

Q: The set {V1, V2, V3} is independent. Use the Gram-Schmidt process to produce an orthogonal set with…

A:

Q: SO O /+ లేచి

A:

Q: Find the surface area and volume of the figure below. 5 ft 5 ft Surface Area = Volume = 5 ft Q…

A:

Q: Consider the Venn diagram below. Shade the region corresponding to: (An B) nCº Aº - (B UC) B

A:

Q: 9. Consider the A defined on R, the set of all real numbers as V x, y € R, as x Ay ⇒x-y is rational.…

A:

Q: Use the Laplace transform to solve the given initial-value problem. y(t) = y" - 6y' +9y=t, y(0) = 0,…

A: We have to Use the Laplace transform to solve the given initial-value problem. y" - 6y' + 9y = t, y…

Q: Evaluate the integral. 4 1 -t²dt 8 1 Remember that evaluating a definite integral is analogous to…

A:

Q: Find the solution of the given initial value problem. y(4) +22y"" + 183y" +682y' +962y = 0; y(0) =…

A:

Q: Evaluate: (In(2x-1)- ♫ − ( ²¹ ) + 25) da - 2 Limits: [1, 6] Using Trapezoidal, n = 30

A:

Q: The resale value V of a piece of industrial equipment has been found to behave according to the…

A: given function V=150,000e-0.075t (a) what was the original value of the piece of equipment? put t=0…

Q: Determine if R is (1) a field (2) an integral domain (3) a unital ring, where R= {2+y√P+2√z, y, ze…

A:

Q: Find the limit infimum and supremum of Xn=3-(-1)". Write the solution.

A:

Q: (a) For all n N and a + 0, show that ak 1 1 an

A: According to the guidelines I am answering only first question as they are different questions and…

Q: Ўitsўіхву. ч. +8 Ця +7ўz FЧу; таўст бу, 2 * Чуа +2y=0 20

A: As per the question we are given a system of second order linear homogeneous differential equations…

Q: 6. Given the following vectors, Draw: a) a-b b) 2c + a c) - (c-b) a X b of

A:

Q: 26. Given two curves as follow: a) b) y = -x² - 1 y=x²+x=2 Sketch and shade the region bounded by…

A:

Q: Two angles that can be trisected with a straightedge and compass are a 45° angle and a angle. A. 9⁰…

A:

Q: Use a computer algebra system and the fact that the centroid of the region having area A bounded by…

A: As per the question we are given a closed (semicircular) region R of area A bounded by :  y = √(49 -…

Q: Consider the following initial value problem. Determine the coordinates tm and ym of the maximum…

A:

Q: Each student should evaluate each residue, then comment on other students' answers either by agree…

A: Given function is fz=1z2+1z2+9   To evaluate: Resfz, i and Resfz, 3i

Q: Find the limit infimum and limit supremum of the following. Write a brief and concise…

A:

Q: Can you please write the answers out, I cannot see which answer is supposed to go into which box.

A: given function f(x)=4x-x2 and point P(2, 4) on the graph f. We have to fill the boxes in step-1 as…

Q: 7. Given 8 = 56.78°, u = (-3, 2, -1), v = (2, 3, 4) and ||w|| = √17, find ||lu|| a) b) u. W

A:

Q: (c) (i) Use De Moivre's theorem to show that, if sin 0+0, then (coto+i)2n+¹-(coto-i)²+1_sin (2n+1),…

A:

Q: 3) Suppose that xo 22 and x = 2 + √x-1-2 for n € N. Use the Monotone Convergence Theorem to show…

A:

Q: You are conducting an experiment where a bucket is filled with 11 fluffy hamsters and 7 spiky sea…

A: As per the question we are given a probability space with the set having 11 fluffy hamsters (H) and…

Q: Determine all values of k for which the following set of vectors spans R4. You can select 'always',…

A: We have to find the value of k for which given vectors will span R4. 3-102,0-101,1013,002k

Q: Use the method of variation of parameters to find a particular solution of the differential equation…

A:

Q: 3. (2xy-x + 2y - 1) dx +(4x²y² - x² + 4xy²-x) dy = 0

A:

Q: (2) Prove that there are no integersm and n such that 7m + 2ln - 15.

A: There are no integers m and n such that 7m+21n=15