2. y = ln(x²-1), 2 ≤ x ≤ 3 ;y-axis

Q: For the given function 6=x²yz C=3x²yi+yz²j-xzk and Find 82 Sysz (c) at point (1, -2, -1).

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Q: 6 5577 JA -) Determine the values of constants a and b so that f(x) = ax²+bx has an absolute maximum…

A: The given function is f(x)=ax2+bx the function has absolute maximum at the point (1,2), therefore…

Q: Example 8.8. From the table below, for what value of x, y is minimum? Also find this value of y. **…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Given: y' - 2 = −e¯4x – 2y, y(1) = 0.25, h = 0.05. At what value of x will the % error in the…

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Q: Exercise 14. Let Z be the set of integers and R be the equivalence relation on Z such that [0] =…

A: 14 Given that Z be the set of integers and R be the equivalence relation on Z such that 0=3k:k∈Z. We…

Q: What value should be assigned to c so that f(x) = - the set of real numbers? x²+x-20 x-4 3c x < 4 x…

A: Given that,fx=x2+x-20x-4x&lt;43cx≥4The value of c is determined so that f(x) is continuous over the…

Q: find the n=100 Riemann Sum approximations for the area under f(x) = 2x+1 on you could use this…

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Q: Consider the ring (Z, 0, 0) where and are defined as follows a b = a+b-1 aob = a + b - ab (a) Is the…

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Q: Which among the following diagrams correspond to the metric below on the real plane R^2?…

A: We can solve this using given information

Q: 2. (a) Find the unique polynomial of degree 2 or less such that f(0) = 1, f(1) =3, f(3) = 55 using…

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Q: 3. Determine the values of X (X1, X2, X3, X4) and Y (y₁, Y2, y3, y4) using LU Decomposition. 1 2 -1…

A: Here the system is AX=b  Using Gauss elimination process for this decomposition PA=LU  Y=UX  LY=Pb

Q: eb Let A E M₁ (TR) be given If AAt = On HOME JATOT prove that A = On - Does this hold if A EMn (C)?

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Q: Evaluate the following: a. L-1 -1 b. L-¹1² c. L-1a²s [3+12s] s² 9s²+2b. S3 a²s²-2abs+2b² S3

A: These results follow using standard formulas for laplace transforms. The detailed solutions typset…

Q: Section 4.2 In Exercises 1 and 2, find the general solution of the given equation a VOIL 1. +6 dy dt…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: d. What is the area of the circle with one part missing? e. Describe the surface area of the cone.…

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Q: We are standing on the top of a 384 feet tall building and launch a small object upward. The…

A: Given that  The objects vertical position, measured in feet after t seconds is given by h(t)  To…

Q: ANSWER THE FF. IF THEY ARE ALWAYS TRUE, SOMETIMES TRUE OR NEVER TRUE 1. If x is in S, then x may be…

A: Solution

Q: Solve the following simultaneous DE using Laplace transforms. 1. dx dy 2 + dt dt 5et dy dt 3 da - 5…

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Q: iready Classes O Zooniverse Algebra Calculator... ssade Zachary - GU5L5 Exploration le Edit View…

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Q: JJs where S is the sphere x² + y2 + z2 = 1.

A: Given S is the sphere                         x2+y2+z2=1 To evaluate:             ∫∫S3x+3y+z2dS…

Q: 5 By separation of variables, Solve the following PDES- ²4 = 4 24 dx² dt² 0 o u(e,t) = u(s, t) =6…

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Q: Determine whether the Fourier series of the following functions converge uniformly or not.  f(x) =…

A: The function given is as follows:  f(x)=x+x,  −1&lt;x&lt;1We will find the Fourier series of the…

Q: Given slope m = 3 and x-intercept (-4,0), write the equation of the line in the form Ax+By = C.…

A: For given m and point we have to find equation of line.

Q: 10 freshmen, 9 sophomores, 8 juniors and 11 seniors form a committee. The committee needs a group of…

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Q: Q1: (A) Write True (T) in front of the true statement and false (F) in front the false statement: 1.…

A: This question is from ring theory of abstract algebra.

Q: (b) Given the set S = [-1,1] and the function g: S→ R defined by g(x) = that g is one-to-one, and…

A: g is one to one because  For every x there is a different image in g(x) if x= -1 then it's image is…

Q: Given the set T := {(x, y) ∈ R^2 : |xy| Less or equ 1}. Is T a compact set? Show your working. If…

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Q: 7 R, S and T are closed sets implies RnSnT is closed. N S A 8 If S has a maximum and a minimum then…

A: We can solve this using given information and using definition of compact and close set

Q: .b. Given a monopsony's production function Q = 45L - 0.25L², market vage function w = 10 + 3L, and…

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Q: 1. Compute u + v and u-2v where u = -5 and v = T 2

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: The points that are equidistant from A = (5,-3,2) and B = (7,9,-4) form a plane. a.) find the…

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Q: By using Newton Raphson Method, the repeated root of 4x^3-8x^2-3x+9=0 using 2 as Xn is? O 1.6 1.55…

A: Given equation is 4x3 -8x2 -3x+9=0 Take fx = 4x3 -8x2 -3x+9 First derivative of f(x) is fx = 4x3…

Q: Determine if the inverse and the transpose of a positive definite matrix B are necessarily positive…

A: Proof:         Given that B is symmetric positive definite matrix.  NOTE:  B is symmetric positive…

Q: Q2: (A) Choose the correct answer for each of the following: 1. The cancellation law holds in a. any…

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

Q: By using Newton Raphson Method, the repeated root of 4x^3-8x^2-3x+9=0 using 2 as Xn  is? 1.6…

A: Given equation is4x3-8x2-3x+9=0xn=2The repeated root of the above equation is determined byNewton…

Q: A telephone company can issue telephone numbers consisting a 10-digit calling number. The 5-digit…

A: The telephone number consists of area code and calling number       --           The area code must…

Q: Consider the curve where a =0 (a) Compute(t) at t = [0, +∞). (b) Find the tangent line at the point…

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Q: Given the vector field F=rcoso ar+ -sine ae +rap After solving for the question, what is the scalar…

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Q: 3. fy dy + 10g = e + dt +7 -2t

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Q: Consider the following vector fields: F = (3x² e²y, 2x³e²y + 2 cos y sin y) and G= (y+z, x+y, z —…

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Q: does

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Q: 258. Are the lines of equations and x = −2+2t, y=-6, z = 2 + 6t x= -1 +t, y = 1+t, z=t, t€ R,…

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Q: 12. Find the value of x for m48-46 and CD-25. (The figure is not drawn to scale.) D B A. 35.5 B.…

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

Q: Find the matrix corosponding to rotation of 90 degrees about x-axis and then find it's Eigenvectors…

A: Eigenvalue: A real/complex number λ is called an eigenvalue of the matrix A if for a non-zero vector…

Q: Define g(-5) in a way that extends g(x)= 9(-5) = x² - 25 x + 8x + 15 to be continuous at x = -5.

A: We have to define g(-5) such that g(x) is continuous at x = -5.

Q: r 1. Let D = ar n C/m² in free space a) Find E at r = 0.2 m c) Find the total electric flux leaving…

A: Solution :-

Q: Example 9.13. Solve Yx+1-yx + xyx+1 Yx = 0 given y₁ = 2.

A: Let us solve the given problem in the next step.

Q: 4. (a) Compute the general solution for: +4- +3y=e-¹/2 dt² dt (b) Compute the solution with y(0) =…

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Q: Find the general Solution of the following PDES ди -5X -3x 17 9 = 2 ди +u, ucx;o) = ду + 2 е ax…

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Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

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