Find the g.c.d. in Z [i] of 2 and 3+ 5i.

Q: 6) Given AABC with a = 9 inch, b = 6 inch and c = 14 inch. Using law of cosines, find the measures…

A:

Q: tanh(0.356 +j0.875)

A:

Q: If alb, find the value of a and y. y 11 (3x-20)° yo 2x

A:

Q: Round all answers to 1. Determine the p direction of the

A: Given: The value of v¯ and u¯ To find: The projection of   v¯ on u¯

Q: Suppose an image is saved as a matrix with a Singular Value Decomposition: A = USVT. Let the vector…

A:

Q: The solid formed when the region bounded by y=x, y=2x+ 2, x=2, and x=6 is revolved about the y-axis.…

A: Given the solid formed when the region bounded by y=x, y=2x+ 2, x=2, and x=6 is revolved about the…

Q: Find the lapla

A: Given,              f(t)=t2sin(2t)

Q: 4. Find the volume of the solid bounded by the plane z = 0 and the paraboloid z=1-x² - y². (if using…

A: Solution :-

Q: A= 5 2 -1 53 -1 3 ○ 2

A:

Q: 2. A student has the following quiz scores: 5, 8, 16, 17, 18, 20. Find the standard deviation for…

A:

Q: A topological space is Hausdorff iff limits of all nets in it are unique

A: This is a problem of Topology.

Q: Express e

A: Given: An expression ez=-2 We have to express the given equation into a+ib form.

Q: field extention and letaek statements are following aquileast. d is algebraic over ‡. F(x) has…

A: Given :  F⊆K  be a field extension. And α∈K. To prove :  The following statements are equivalent :…

Q: Which can be said correct given the augmented matrix below? [ 1 3 0 | -5 ] [ 0 0 1 | 3 ] This matrix…

A: Given augmented matrix, AD=130001-53 AX=D130001xyz=-53 On solving the given system in variables x,…

Q: Find the la place transform of the following. Simplify your answer. f(+) = 2+² e²+ - sin²+

A:

Q: Use the root test to determine whether the series n=1 Since lim 12-00 7n³-n-2 3n² +n +4 n converges…

A: We have to solve given problems:

Q: 5. Find the general equation of the circle of curvature of the parametric equation t+1 X = ; y = ± √…

A: Solution :-

Q: 1 What is the direction of fastest increase at (5,-4, 6) for the function f(x, y, z) = x² + y² + z²…

A:

Q: P21. The y-axis and the line x = c are the banks of a river whose current has uniform speed a in the…

A:

Q: hello, I appreciate your answer but the answer looks funny it is difficult to understand. Would you…

A: Solution

Q: 10. (A is the relation defined on Z as follows: for all x, y e Z, x Ay ⇒x=y (mod 3). Describe the…

A: This is a problem of Relation.

Q: Given that |a| = 20, find all left cosets of (a¹2) in (a).

A: This question from topic coset of group theory.

Q: Find two linearly independent solutions of 2x²y" - xy' + (−3x + 1)y = 0, x > 0 = x¹¹ (1 + α₁x + a₂x²…

A:

Q: For the following question, state 2 different ways that you can solve this problem. DO NOT SOLVE.…

A: Solution:- This is a case of multiplication rule: Number of different uniforms possible is computed…

Q: Q7 The target thickness of aluminum sheets produced by a machine is 5 mm. A sample of 50 sheets is…

A:

Q: find the points on the surface + z² = 1 that have their tangent plane perpendicular to the vector…

A: For tangent plane of the surface f(x,y,z)=k at a given point normal vector to tangent plane  will be…

Q: Let M be the portion of the cylinder x² + z² = 1, 0 ≤ y ≤ 3, oriented by unit normal N = (x, 0, z).…

A:

Q: Solve the following exponential equation. Express the solution in terms of natural logarithms or…

A:

Q: 10. (.; A is the relation defined on Z as follows: for all x, y € Z. x Ay ⇒x=y (mod 3). Describe the…

A:

Q: Solve using Gaussian Elimination with back-substitution or Gauss Jordan 3x12x2 + 4x3 = 1 x₁ + x₂ -…

A: The solution is given as

Q: 9. E is the binary relation defined on Z as follows: For all m, n E Z, mEnm-n is even. Is this an…

A: Here, E is an equivalence relation on Z. To show this,  we will show that E is reflexive relation,…

Q: What is the volume of the solid formed by rotating the region about the x-axis y = x2 and y = 2x +…

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

Q: Q5: find the Fourier series of the following equation - 1<x<0 f(x) = {x - {* 0<x< 1 1<x<3 1

A: The given problem is to find the Fourier series expansion of the given periodic function with given…

Q: Evaluate the following, round your answers in 2 decimal digits. 5 5 3\ 1.A= 2 -1 3. Solve A-¹ using…

A:

Q: Let f: V → II Xabe defined as: a € A f(v) = (fa(v)) a € A where fa: V → X₁ for each a € A. Let II Xa…

A:

Q: d the answer q

A: Given,      ∑n=1∞n!2.5.8. . .(3n+2)

Q: 2. For all equations e, if e is quadratic, then * e has at most two real solutions. Which of the…

A:

Q: 7 Show that the propositions (p Aq) and p V¬q are equivalent. logically

A: We will construct the truth table to show the logical equivalence of given two propositions.

Q: 2. Using Linear Approximation, evaluate √81.4305 using the given function and initial value below.…

A: let y = f(x) is the function  to find local linear approximation at x= x0 we need to find equation…

Q: Let p denote "He is wise" and let q denote "He is loyal." Write each statement in symbolic form…

A:

Q: 6 of 9 > Find an equation of the tangent plane to the surface at the given point. 2x² + 2y² + 4z² =…

A:

Q: A farmer has 40 acres of land on which he plans to grow coffee, mango, and coconut. Each acre of…

A:

Q: The half life of substance A is 22 years, and substance B decays at a rate of 30 % each decade. (a)…

A:

Q: Suppose T : R² →→ R² is a linear transformation. The figure shows where I maps vectors v₁ and v₂…

A:

Q: 9. E is the binary relation defined on Z as follows: For all m, n E Z, m Enm-n is even. Is this an…

A: This question is from topic relation of real analysis

Q: Draw the region of integration. Then evaluate the double integral using polar coordinates. Sex² + y²…

A:

Q: in a graph What is the chromatic number? And give an examples

A: Solution:- In a graph, no two adjacent vertices, adjacent edges, or adjacent regions are colored…

Q: Find the laplace transform of the following. Simplify your annuer. • f (+) = 4+e²¹ t

A:

Q: (13): p²+q²-2px-2qy+2xy=0

A: Q(13) Given the partial differential equation   p2+q2-2px-2qx+2xy=0 To solve it using Charpit's…

Q: 1-9 Po Determine angles a, banda.

A: