7s 2 2s-8

Q: Q10// Evaluate S. curl F dS where F = 2yi – xj + xzk and S is the surface x2 + y2 + z2 = 4 where z >...

A: We will find out the required required value.

Q: d ) = (x³+1)(2x)-(x²)(3x²). dx (x3+1)2

A: Since you have posted multiple questions and we can amar one question. So, answered first question.

Q: Express the number (20CBA)16 + (ABC DE)16 + (BAAA)16 in bases 8, 10 and 16.

A: This is a problem of counting and finite math.

Q: For each of the following group H is a normal subgroup, write

A: (1c) Given,                G=S4  and   H=A4.

Q: solution:

A: Given,          (D4+6D3+9D2)y=0            ...(1)

Q: Let f (z) = Find the Laurent series expansion centered at z = Oin the domain z < 1 What's the coeffi...

A: We need to expand the Laurent series for the given function.

Q: 7. The Laplace transform of cos^t+sin^t is O 1/s O 1/s^2 O 1/sin s O 1/(sin s + cos s)

A:

Q: 222 Let f (z) = -Let C1, C2 and C3 (z-10)(z-12) be the circles z| = 9 |z| = 11and |z| = 13 respectiv...

A:

Q: (a) Set up a triple integral in spherical coordinates to calculate the volume of the solid bounded b...

A: The given problem is to find the volume of solid bounded below by the sphere and bounded above by th...

Q: 5) y = 2( 3x + y ) - 1

A:

Q: Determine the value of f[x0, ×1, ×2]. -1 -5 O -0.5 O 0.5 O 1.5 O -1.5 1 5 6

A:

Q: The topic we had before this is curve tracing and polar curves. Please answer. Also, kindly explain ...

A: Given that, the function is y2=x+3x2+3x+2.  

Q: .Six equal rods AB, BC, CD, DE, FE and FA are each of weight W mnd are freely jointed at there extre...

A:

Q: Pb.4 Consider a system of linear equations given as (M2 -0.4M2 = -0.5 41 -0.5 25 -0.4 3 (M3. (105. a...

A: Note:- Gauss Seidel iteration Method for a matrix A  xk+1=- D+L-1 U xk+D+L-1 b; k=0, 1, 2,.. Here, D...

Q: Please solve X''+tX=0 in power series and state the kind of ODE it is. Thanks

A: We will find out the required solution.

Q: Given the region R on the right, a. SET UP the double integral that will solve its area. b. evaluate...

A:

Q: 1. For each of these pairs of sets, determine whether the first is a subset of the second, the secon...

A: A set A is said to be a subset of another set B if all the elements of set A are also contained in s...

Q: 3. Consider the following 3x3 matrices A, B,C, D, and E. A has a determinant of 10. B can written as...

A: Given: Let A , B , C , D , E  be 3×3 matrices. And det A  = 10

Q: Let C be the curve parameterized as follows F(t) := (9 cos(t), 9 sin(t), 12t), 0<ts 10 and let f(x, ...

A:  

Q: Q-1) For the below figure, calculate the values of the unknown flow rates F1, F2, F3 and F4 by using...

A: As per the diagram we have : 68% of F1 + 8% of F2 + 5% of F3  =  33% of 800 ➞ 68F1 + 8F2 + 5F3 = 264...

Q: Let f (z) = 4. Let C1 be the circle |2| = 2 in the counter-clockwise direction, C2 the circle |z – 3...

A:

Q: e) Show a proof by induction for the equation, the factorial integral. n! = r"e= dx.

A:

Q: Describe and sketch the parametric curve in R given by x = cos t, y = sin t, z = sin 2t

A: The general form of the parametric equation of the curve in three-dimensional space is given by x=f(...

Q: SECTION A: SHORT ANSWERS Question 1 Let U= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A= {x|x is a positive in...

A:

Q: Suppose f : Z 2 → Z is defined by f(m, n) = m − n and g : Z → Z is defined by g(n) = n+1 2 . (a) Is ...

A: The solution to the given questions are answered below.

Q: Q. FOR THE SPACE VECTORS SHOWN BELOW FINDS (T,N, k, B,,p,ANDT).1- FOR GROUP A AND 2- FOR GROUP B. = ...

A:

Q: ine the convergence radius and the convergence interval in each series given in the image

A: In this question, the concept of Convergence is applied. Convergence The feature of approaching a li...

Q: Зх-4 (5) Let f(x) x E [-2,2], find the absolute maximum and minimum x²+1 values of f(x).

A: We will find out the required value.

Q: Suppose A, B, C and D are sets. Prove that if A ⊆ B and C ⊆ D, then A × C ⊆ B × D.

A: Suppose A, B, C and D are sets. We need to prove that if A ⊆ B and C ⊆ D, then A × C ⊆ B × D.

Q: Question No 1 A tank contains 800 gal of brine in which 600 lb of salts are dissolved. Fresh water r...

A: The mixing problem is one of the important applications of the first-order ordinary differential equ...

Q: Let X be any set and let Y = "2¬X = {x : X → {0, 1}}, that is, Y is the set of all functions from X ...

A: To prove that F is a bijective mapping,we have to show that it is both one-to-one and onto.

Q: 3. (3xy + 3y – 4)dx + (x + 1)²dy = 0 (linear equations)

A:

Q: O C = Paith 4: 3+ las t+ I sint t=0.

A:

Q: A certain radioactive isotope has a half-life of 17 hours. How long would it take a given amount of ...

A:

Q: A small funnel in the shape of a cone is being emptied of molasses at a rate of 12 cm³ /s. The heigh...

A: Given that, A small funnel in the shape of a cone is being emptied o molasses at a rate of 12 cm3/s....

Q: 6. The Laplace transform of e^-5t is * O (1/5)-s O (1/s)-5 O 1/(5-s) O 1/(s-5)

A:

Q: Determine the Taylor polynomial of order two of the function $f(x, y)=\frac{\cos x}{\cos y}$ ...

A:

Q: Let G be the set (te, ±a, ±b, ±c) where [ 1 10 Show that G form a Group under multiplication.

A: Group: If a set (finite or infinite) together with a binary operation satisfies the four basic prope...

Q: 6) ( y - 2xy ) dx + 3x°dy = 0 y(2) = -1 %3D

A: The given problem is to solve the given differential equation with given initial condition. Given di...

Q: Determine the value of f[x0, X1, X2]. 1 5 5 -1 6. -5 O -0.5 O 0.5 O 1.5 O -1.5

A: We have to determined the value of f[x0, x1, x2] from the given data.

Q: The graph in Figure 2 is weighted (i tree using:

A: Given,          

Q: (4) Find the equation of the tangent line of y = /1+4 sin x at the point %3D (0,1).

A:

Q: ven a recurrence relation an = 6an-1 - 9an-2

A:

Q: Let R be the relation on the set (0, 1, 2, 3} and R= {(0, 1), (1, 1), (1, 2), (2, 0), (2, 2), (3, 0)...

A:

Q: Quèstion 1 2 L{ cos 31} = 2 L{ cos 31 } 2 L{ cos 31 sin 3t } 2 L{ sin 3f } cos 6t 2 None of These

A:

Q: 2 y" = 0.

A: Given the differential equation y"" - 2y" = 0. The auxiliary equation m4 - 2m2 = 0.

Q: Find the Laplace transform of: e't + sin(3t) (s-1) (s-1) (8-1) s+9 9 (s-1) g2+9

A:

Q: Find all the primitive roots modulo 125.

A:

Q: 5. Use the bisection method to find an approximation to ve -8 correct to within ɛ = 0.05. (Hint: Con...

A:

Q: The density of seeds at a distance x from a parent tree is observed to be -x2 = Doe a2 %3D where a >...

A: In the given question, the concept of maxima and minima is applied. Maxima and Minima The critical p...