Find the area of the triangle formed by the lines repr

Q: Q.7: find the directional parametrization of the line segment joining two point A(2,1,3) and…

A: It is a basic questions of 3-D geometry , we have equate the equation only

Q: Explain why the following equation is true in Z7 1 1+ = -1. 3

A: Kindly note that there is only one brown page visible in your question post and it has only one…

Q: Copy of Given the following parametric equation of a torus if we have 0 and 0<<2 The cross-section…

A: Solution

Q: w solve finite diffrence method y + xy = 2xy [0,1] Y(0)=1 y (1)=1

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Q: 8 Σ n=1 (x-4)-1 3 n

A: Given expression is ∑n=1∞(x-4)n-13nn Let  un=(x-4)n-13nn then un+1=(x-4)n3n+1(n+1) Then…

Q: Show that for any 1 ≤ k ≤n. T) (1) = n²(n²-1²)...(n² – (k − 1)²) 1.3.5 (2k-1) .

A: We will use the basic knowledge of Chebyshev polynomials to answer this question completely and…

Q: 5. Consider the set S = {(x, y, z) | 0 ≤ x ≤ 1, 0 ≤ y ≤ 2x², 0 ≤ z ≤ x + 3y}. Prove that S is a…

A: Given: S= {(x,y)/x ∈[0,1] , x2≤y≤x}it is a closed and bounded region so it is compact subset of…

Q: Obtain the general solution unless otherwise instructed . (D² − 3D + 2)y = e²x(1 + e²x) −¹ Yc = Ур =…

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Q: For each situation, consider if the relationship described is a function and explain your reasoning.…

A: Here, For each situation, we have to consider if the relationship described is a function and…

Q: Use the binomial ser a. f(x)=√√(+X- ..b.....fo.x

A:

Q: 6. Let A and B be n x n hermitian matrices. Suppose that A² = Ins B² = In (1) and [A, B]+ = AB +…

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Q: A hot air balloon rising vertically is tracked by an observer located 4 km from the lift-off point.…

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Q: Find the Laplace Transform F(s) of: f(t)=te-ktsin(t)

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Q: 7. Suppose that f=u+ie is analytic and not identically constant. a) Show that ue is the real part of…

A: Given :  f = u + i v  is analytic and not identically constant. To show :  (a) uv  is the real part…

Q: 2. Find the maximal interval of existence and uniqueness of the solutions to y' = e√1-1²-y², y(0) =…

A: Solution: Given,y'=e1-t2-y2,    y0=0We know that  by existance and uniqueness theorem,The initial…

Q: 3. Consider the vector field F(x, y) = (2xy, x² — sin y). Evaluate [F. F.ds C = where C is the curve…

A: Solution

Q: 10. Sketch the graph of the velocity func distance traveled over the given interval. v(t) = t³ – 5t²…

A: Given: v(t)=t3-5t2+6t; 0≤t≤5 To calculate: Displacement and distance traveled over the given…

Q: (i) n=1 (-1)2-1 би

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Q: X dy + y dx = x cosx dx

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

Q: wing statement is true or false. provide a counterexample for each false statement.  x is even iff…

A: In this question, the concept of Modular Arithmetic is applied. Modular Arithmetic Modular…

Q: (c) Let us consider the following toehold DNA system: 2 1 2 // 2* 1* In textual form this is given…

A: Given: Toehold DNA system -           Length of toehold &lt;1^&gt;=4 nucleotide           Length of…

Q: 7. Determine which of the following functions are differentiable at all the z-plane or some region…

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Q: How may chords are there in the figure? [1] (134°-50°1/2-42" 4AFC-134* 4EFD-50*

A: chords are the line segment whose  both end points lie on the circle.

Q: SturmLiouville 10 Consider the differential equation (4x² − 1) y" + 4xy' + λ y = 0 - (a) For what…

A: Kindly note that this is a multiple-question post having two or more unrelated questions. So, as per…

Q: The graph of f(t) is given in the figure. Represent f(t) using a combination of Heaviside step…

A: The graph of f ( t ) is given in the figure . We represent f ( t ) using a combination of Heaviside…

Q: Finding a probability density function A continuous random variable X, with mean unity, has…

A: Given a continuous random variable X, with mean unity, has probability density function fX(x) given…

Q: etermine the values of a for which the following system of linear equations has no solutions, a…

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Q: Solve the partial differential equation: a²u =²; by the method of separation of variables for a…

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Q: etch the graph of y = x² + √x + 1 and determine its concavity, extrema, and points of inflection.

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Q: (am,n)m,neN is a sequence with am,n 20. The sequence is for a fixed m in n monotonous increasing and…

A: Given: am,nm,n∈ℕ am,n≥0 for all m,n∈ℕ am,n is monotonous increasing for fixed m and for fixed n.…

Q: Let B = Qn (0, 1) be a subset of R. Consider a function f: N→ B defined by 1-n f(n) = ans where an=…

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Q: Show f(x) = e and g(x) = xe linearly independent by finding its Wronskian.

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Q: If α₁, ₂, ......., a are the roots of the equation x²¹²-a₁x²² - ¹ + a₂x²¹ - ² + ...... + (-1)" a, =…

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Q: prove, for all integers x, if x mod 3 does not equal 0, then 3 | (x2 +2)

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Q: Define a relation on N by (a,b) ER if and only if E N. Which of the following properties does b…

A: Given, A relation R on N by a,b∈R if and only if ab∈N.

Q: tring. The kite is 120 ft. above the gr what rate must she let out the string

A: Introduction: In mathematics, differentiation is the process of determining the derivative, or rate…

Q: 7. Determine which of the following functions are differentiable at all the z-plane or some region…

A: Given : (a) f(z) = x2+y2 + i 2xy            (b) f(z) = z-(2+i)2 To find :  To determine the region…

Q: -1 0 0 -1 0 1 -1 2 0 -1 2 -1 0 0 -1 2

A: Solution:- Given matrix is -

Q: the nth-term divergence test? Select all that apply. 0 Σ 150,000 n = 1 4″ (2η)! Σ nΞ1 (2n + 1)! Σ…

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Q: (c) Graph J is connected and has 74 vertices. If any of its edges is removed, the resulting subgraph…

A: Note: Tree: A connected graph without any cycles is called a tree.

Q: 11. Martha Stewart is designing a box for her cat to sleep in. It has 4 sides and a bottom but no…

A: We will use the basic knowledge of the application of differentiation and the surface area and…

Q: a²u Solve the wave equation: =a² at² 8²u 8x2 Under the condition: u=0 when x = 0 and x = π 0<x<n.…

A: We have to solve the given wave equation.

Q: A. Find the general equation of the conic with the given properties. An ellipse with one focus at…

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Q: 2. Find the maximal interval of existence and uniqueness of the solutions to y' = e√1-1²-y²…

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Q: 3.a) Apply the Trapezoid and corrected trapezoid rule, with h = 1, to approximate the integral…

A: Given: f(x)=ln1+x2, a=0, b=1 and h=18 To find: (a) The integral ∫01ln(1+x2) dx. (b) The minimum…

Q: A formula of order 4 for approximating the first derivative of a function f gives: f(0) 1.0982 for h…

A: Solution:- option (2) is correct

Q: Find the number(s) b such that the average value of on the interval [0, b] is equal to 15. Select…

A: Introduction: The formula for the average of the function f(x) over the interval a,b is given by,…

Q: (ii) Prove the identity (2 – 2 cos 0) (sin 0 + sin 20 + sin 30) −(cos 40 — 1) sin 0 + sin 40 (cos 0…

A: Solution :-

Q: In a psychological experiment investigating how individuals change their assessments of probability…

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Q: sketch the surface 2² 16 11 -1

A: Given:x29+y24-z216 = -1