Lexi hiked 3 miles down into the hill at 3 miles per hour, then 3 miles back out of the hill at 1 mile per hour. how to a distance-time graph.   What is the average speed?

Q: 2. Let S be the surface x² + y² = (2-2)², y Evaluate Jl F = (2x+y-xz, -x, -(2 — z)²), choosing a…

A: Using parametrization of the surface S

Q: Exercise 4: For V = R³, define U = a +b+c= 0}w = { b a - b+ 2c= 0 1. Find bases for U, W 2. Find a…

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Q: A root of x- 0.5e 2* 0, which is locate in the interval [0, 1] correct to three decimal places using…

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Q: Define Carmichacl's X-function and compute A(6031).

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Q: Solve the IVP: y" - 5y' + 12y = 0. y(2) = 0, y'(2) = -4. %3D %3D

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Q: f(x) = 5x² + 3x³ 08 06 044 1. Using the laws of Calculus, provide the expression for f"(x)- which…

A: Since you have asked multiple questions, we will solve the Question Q1 and Q 2 (a) and (b) for you.…

Q: A farmer has enough money to build only 240 meters of fence. What are the dimensions of the field he…

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Q: Find the critical point(s) of the following systems, and determine whether it is asymptotically…

A: Since you post more than three subparts questions as per our guideline we can solve only first three…

Q: 2. Write the equations a. Cubic polynomial, of functions satisfying the given properties, in…

A: Given that Since In the cubic polynomial, x intercepts at -13and -2, y intercept at 10 Since cubic…

Q: What is the solution of the DE: x²dy + y²dx = 0? 1 A. - x+y = cxy C. x y B. -= = c D. None of A, B,…

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Q: 3. Using propositions aided by two-column proof, show that AAB = AUB. (Just choose one direction to…

A: The property must be given that  A intersection B = phi  So as we know A delta B = (A union B )- (A…

Q: Use Venn diagrams to exhibit A – (Bnc) = (A – B)U (A – C). -

A: The set A∪B contains all the elements that are present either in set A or in set B. The set A∩B…

Q: Selve du 4824 8.

A: Given heat equation, ∂u∂t=4∂2u ∂x2u(0,t)=0u(8,t)=0u(x,0)=4x-12x2=f(x,y)  Here length l=8 and c2=4

Q: The maximum problem is not in standard form. Determine if the problem can be modified so as to be in…

A: Given LPP is Maximize P = 3x1 + x2 + 8x3 Subject to constraints -x1 + x2 + x3 ≥ -103x1 - 8x2 ≥ -15x3…

Q: A for the following matrix A and let 5 be the vector given below. 1 1 2 -4 A = 0 1 8. - 3 1

A: Linear transformation and matrix

Q: Give an example of each of the following (a) a set which is a nbd. of each of its points, (b) a…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 7. Given 2x2y" + xy' + 3y = 0 show that 2x2y+2) + (4n + 1)xy"+1) + (2n² – n+ 3)ym) = 0 %3D

A: We use the method of mathematical induction to show the given statement holds (given…

Q: Find the area under the curve using intervals of .5 Find Left and Right Endpoint Area units (X) each…

A: Introduction: The formula of the area of the function y=f(x) using left-endpoints is given by,…

Q: e problem with the application of integral and draw the complete figure of the problem. Find the…

A: Introduction: When the axis of revolution is the plane region's boundary and the cross-sectional…

Q: II. Let U = R I= {x €R|x° – 14x³ + 45x = 0 J= {x €R|x? 2}. Find the following. All infinite sets…

A: 1st find possible values of x in given sets and then find set after using given operation  Note :…

Q: 3) Evalnate the iterated integral oy Cer the to palar corrdinate, 2x-x a) hny? dy dx

A: Introduction: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Let V and V' be finite dimensional vector spaces over a field F and B = {b1, ba,., b,} and B' =…

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Q: Problem (i) Let M, A, B be n x n matrices over C. Assume that [M, A] = 0n, [M, B] = 0,. Calculate…

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Q: the area in square units , between the curve (image) and the x-axis on the interval [-3,4]  is…

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Q: 1 (3 + 14)³

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Q: II. Let U = R = {x € R|x° – 14x³ + 45x = J = {x €R|x? 2}. I %3| Find the following. All infinite…

A: Given that U=R I=x∈R|x5−14x3+45x=0 J=x∈R|x2≤6 S=x∈R|2x>2 Here, set I=−5,−3,0,5,3 J=−6,6…

Q: Let [a] be a non-zero element of Z43. w| 42. When is an element of Z43 said to be a primitive root?

A: This question is based on primitive roots. We recall the definition and give couple of examples.

Q: Use the Laplace transform to solve the given IVP. y" +y' - 2y = 3 cos(3t) – 11sin (3t), y(0) = 0,…

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Q: Ex.2. Let t: R3 → R³ be a linear transformation such that, t (a, b, c) = (3a + c, - 2a + b, - a+ 2b+…

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Q: Given finite field GF(16), can you perform arithmetic operations on the elements of the field as…

A: Elements of GF(16) are 0,1,2,.......,14,15. Since for modulo 16 we can have remainders from 0 to 15…

Q: Given g(x) = -4 sin()-¹, a) Determine the amplitude. c) Write the equation of the midline. d)…

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Q: (a) Find the first order partial derivatives, and ay' YOO of z = x'y+x In y + y°e* F OL LECHMoroGA…

A: Solution :-

Q: Solve for the Maclaurin series expansion of e and use the series to evaluate e0.3 which must be…

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Q: 7. Consider the real symmetric 3 x 3 matrices 0 0 1 0 1 0 0 0 0 1 1 1 0 1 1 1 0 A = B = 1 (i) Find…

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Q: 3.0 SOLVE BY Jacobis Method 2x +9y = -1 4x + y = 15

A: We can solve this using jacobi method

Q: Solve the following nonstandard maximum problem: Maximize P= 3x + X2 subject to the constraints: X1…

A: Here we use graphical method to solve this

Q: Given a differential equation x³y3) – 6xy' + 12y = 0 Suppose we have r,r2, . , rn, Find the distinct…

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Q: 1. Use Venn diagrams to exhibit A – (Bn C) = (A – B) U(A – C). | |

A: Given,  To Prove: A-(B∩C) = (A-B)∪(A-C) Using Venn diagram, A (B∩C) A-(B∩C)

Q: Using Picard's method, the 3d approximation of = x* +y at v(0)-1 is 1+ x + so the values of d and r…

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Q: Write the dual problem of the following minimum problem. Minimize C= 3x1 + 4x2 subject to the…

A: We use the definition of conversion from primal to dual to solve this problem.

Q: 2. Find a Möbius tran sformation which maps the region |z -il < 2 onto the upper half plane, the…

A: Let  ψ(z)=eiαz-i2  (α∈ℝ) This is a general Moebius transformation mapping z-i&lt;2 to the unit disc…

Q: Find the inverse Laplace of (3s/ s^2 −4)

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Q: Consider the following integral: (9x + 4)° dæ Note: answers are to be entered to four significant…

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Q: TRUE OR FALSE 16. The exclusive disjunction of -1 < 1 and – 1+1 = 0 is true. 17. A conditional…

A: Answer (16) - FALSE

Q: 1 The integral ¹8√1 - 16x²dæ is to be evaluated directly and using a series approximation. (Give all…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 4. Using laws of set theory aided by two-column proof, show that AU (B – C) = (AU B) – (C – A). %3D

A: Solution As we know A-B = A ∩ Bc

Q: 5. What is the order of the graph? A B E F OA) 4 O B) 5 C) 6 O D) 7 Figure 1

A: We will use the definition of the order of a graph.

Q: i7(√3-i10) (2 - i5)

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Q: dy Use Picard's method to solve dx xy, y (0) = 1 Find y3(1)?

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Q: Exercise 2: Given: vị = 3 , V2 = , V3 = 2, v4 = 4, v5 = Look at the following sets: Si = {v1, v2},…

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