(sin³r} = {1-co52} and find the Laplace transform: S 1 2 -3²+2 S 1 2 O 1(1 1/1 S +4 +2

Q: Use the Remainder Theream and Syntletic division to find each function value. Verify your and…

A:

Q: (Q1) Which of the following statements is true for all non-empty subsets X of the real numbers?…

A:

Q: Find all n such that σ(n) = 72.

A:

Q: Q5A) Find volume of body from above Z=√√4-x² - y² and below Z = 1 using Triple integration.

A:

Q: MODELING WITH MATHEMATICS You and your friend are standing on the baseline of a basketball court.…

A:

Q: x² ¹ +4x²+1 x6 +2x4+x² -dx

A:

Q: (ANB)NC D-E (AUB)' or (AUB)^c CXD (A-C)ND

A: Given: The universal set is the set of integers from -15 to 10. 1. Set A is the set of nonnegative…

Q: Prove the following assertions using a direct proof. d. If x is odd integer, and y is even integer,…

A:

Q: Problem 5.2. Assume that u(0) = u(1) = 0, and that u satisfies 1 [u'v u'v' dx = f fv dx, 0 0 for all…

A: As per the question we are given a functional space V defined as : v ∈ V = { v : ||v|| + ||v'|| <…

Q: Apply Gauss's theorem to evaluate. A

A:

Q: Using Euler’s Theorem, find the last two digits of 4444^3333

A: Let us find the last two digit of the given expression by using Euler's Theorem in the next steps.

Q: BA)Find normal line and parallel plane to the function f(x, y, z) = x²y²z² - 4 At point (1,-1,2).

A: Given  function f(x,y,z) =x2y2z2-4     …………………………i ∇f=2xy2z2 i^+ 2x2yz2 j^ +2x2y2z k^ ∇f|at…

Q: • It is required to solve the Z • System of eduations using the 6 Cram & method. method01102 to • 3X…

A: We have to solve the given system of equations using the Cramer's method.

Q: c. Given f(x) = 2x - 3, g(x) = -4x² + 9, h(x) = 4x² - 12x +9; find 1. f(x)* g(x) 2. h(x)/ f(x) 3.…

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

Q: Find the acute angle between the line joining A(1,2,3) and B(5,1,7) and the plane containing point…

A: Here I am usind the dot and cross product of two vector.

Q: B)Convert r = √2 cos(0-7) = √2 cos(0-) to cartesian.

A:

Q: [5 a = 1 b = [308] Calculate the following products and sums or give reasons why they are not…

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

Q: [1 31 2. Q2A)Matrix A = [₁ ,find Eigen values of A².

A:

Q: I. Prove the following assertions using a direct proof. a. If x is an odd integer, then x+5 is even.…

A: According to guidelines we can solve only 3 subpart.

Q: Ex.2. Prove that the complete integral of the equation (xp + yq - 2)² = 1 +p² +q² is (ax + by + cz)…

A:

Q: 3. y² +4y-4 √√y dy

A:

Q: 15. Find a basis for the row space and the column space of the matrix 132-5 -2 3 671 rank of each…

A:

Q: (a) Assume that f(x) is function defined by J - ² 4 f(x) = for 0≤x≤. (i)Expand the function f(x) in…

A: According to guidelines we can solve only one problem.

Q: Graph the feasible region for the follow system of inequalities by drawing a polygon around the…

A:

Q: B)Is w = Zez analytical function or not?

A:

Q: Show that A(1,0,2), B(-1,2,7), C(4,0,1) & D(2, -2,-3) are non- coplanar.

A:

Q: Find an equation of the plane containing the line = 3t, y=2-4t, z = 1+ t and parallel to z-axis.…

A:

Q: 31 Q2A)Matrix A [42],find Eigen values of 4².

A:

Q: A) Find area bounded by y = 0, y = √x - x² using double integration. V

A:

Q: Suppose that f: R2R is a function given by S x²+y² f(x, y) 0 for xy = 0. Show that f(x, y) is…

A: We have to show the given function  f(x, y) is continuous  at ( 0,0)

Q: valuate * 2, dydx 175 3 Option 1 Option 2 175

A: We have to solve given problems:

Q: Find the length of parametrized curve given by x(t)=12t^2−12t, y(t)=−4t^3+6t^2+9t where t goes…

A: Let us consider the parametrized curve x(t) and y(t)  The length of the curve is obtained as…

Q: Show that any straight line has curvature zero. Conversely, if a smooth curve has curvature zero,…

A: Note:- Curvature k=d2ydx21+dydx232   Given that a straight line and show that it has curvature zero.…

Q: III. Find the following: i) ii) iii) v) vi) Sets 1. Let U= the set of all nonnegative real numbers…

A: Let U = the set of all non negative real numbers less than 10 i.e., U = [0,10)  (Note that, as the…

Q: B)Solve differential equation = (x+y) dx x+siny

A:

Q: QUESTION 5 A solid G bounded by parabolic cylinders y = x², x = y² and planes z = 1, z = 5. (i)…

A:

Q: A 5000 m² rectangular area of a field is to be enclosed by a fence, wi inner fence build across the…

A: Introduction: The formula for the area of a rectangle with length l and width y is given by, area=xy…

Q: using secant method to find a root, an initial guess Xo = 2, X1 = -1 and X2 = -2 with f(X1) = 4 and…

A:

Q: 31 [D-1 D+91 9 B +10)}={} LD-2 2D + 91 1 D-21 13 {} B = 2 = ²16 ²410)} = (7) 10 [2D + 1 D + 3 D + 21…

A: According to our guideline, we can solve only first question of multiple questions. So,here we solve…

Q: Q2A)Matrix A = [1 2. ,find Eigen values of A².

A: The given matrix is A=1342 To find: the eigenvalues of A2

Q: (Q3) (a) Prove that if (an) and (bn) are sequences such that (an) converges and (an-bn) converges,…

A:

Q: I + + ·2+/ + VAN + -3 -1 0 1 2 3 The graph of f is shown above. Approximate ³ f(x)dx using the…

A:

Q: | |m8xy + x)dxdy=3, 0<y<x<1

A: The given equation is ∫∫m8xy+x2 dx dy=3,      0&lt;y&lt;x&lt;1. To find: the value of m.

Q: Below is a graph of f'(x), the which is the derivative of the continuous function f(x). 5 f'(x) -4-…

A:

Q: Q1A) The vectors A = 3i+j+ 4k, B = 2i - 3j-k, find vector normal to A and In plane of A and, B.…

A:

Q: The Taylor series of the function f(x) = cosx at x=0 is

A:

Q: Struggling with SOHCAHTOA. Can somebody help me? Please include an explanation. Thank you in…

A:

Q: Using Laplace Transform method, solve the following differential equation with zero initial…

A:

Q: 1. 0+3×3-3² + 10

A: Explanation of the answer is as follows

Q: (Q4) Prove directly from the definition that the function f: R→ R defined by f(x) = 3r² +r for all r…

A: Sol