Obtain the general solution to the equation. (x²+2) dy dx + xy-7x=0 The general solution is y(x)=, ignoring lost solutions, if any.

Q: (3) Find the mass of the lamina described by the inequalities, given that its density p(x, y) = xy.

A: Given,             ρ(x, y)=xy and  x≥0, 3≤y≤3+9-x2

Q: 3) By changing the independent variables x and y to u and v by means of the relations u xay, v = x +…

A:

Q: Let A be 6x9 matrix. Suppose that row echelon form of A has 3 pivots. * Dimension of the null space…

A:

Q: The Redlich-Kwong equation of state is given by a P = RT v-b v(v + b)√T where R = the universal gas…

A:

Q: (a) Assume that g(x, y) is a function of the form g(x, y) {} 0 if (x, y) = (0,0). (i) Show that…

A:

Q: Question 7 Define a relation R on the set of integers Z by: aRb if and only if ab >0 (a) Show that R…

A:

Q: Find the sum of the series: n=0 (-1)"64"-2 n!

A: The given series is                                     ∑n=0∞-1n64n-2n! We know that    ex=∑n=0∞xnn!

Q: All vectors are in R". Check the true statements below: A. If I is a line through 0 and if ŷ is the…

A: Solutions

Q: On the coordinate plane below, sketch the equal position vector to the given vector. PENCIL THIN…

A:

Q: The board of directors of SSS Inc., have de

A: Given that the board of directors of SSS Inc. has declared a dividend of P18,000,000. The company…

Q: Question 8* Problem III Let f(x, y, z)= -2xy - x² + 3yz + x² + y² + 2². Question 1 The set of…

A:

Q: Use the Simpson's rule with six intervals to evaluate the integral Type your final answer below…

A:

Q: (a) Assume that g(x, y) is a function of the form g(x, y) = 0 if (x, y) = (0,0). (i) Show that g(x,…

A: As per the policy, we are allowed to answer only one question at a time. So, I am answering the…

Q: The figure shows the graph of y=ax+b If f(x) = ax+b and g(x)=log3X, find the value of g(f(0)) . 3 B.…

A: Follow the steps.

Q: The base radius and height of a right circular cone are measured as 10cm and 25cm, respectively,…

A:

Q: 40. When a vertex Q is connected by an edge to a vertex K, what i the relationship between Q and K?…

A: This is a problem of graph theory.

Q: ]x" (t) + x (t) = 6 sin 2t "here X(0) = 3 x' (0) = 1

A:

Q: d.N 1. Show that = A - (μ+d) N. dt 2. Find the exact solution of this equation given that N(0) = No.…

A: Given, N(t)=P(t) + L(t) +S(t) + Q(t)  Solution to part 1: We know that if Z(t) = X(t) + Y(t),then…

Q: Describe matrix multiplication of two matrices A and B in terms of linear functionals (the linear…

A: Solution:-

Q: Use the graph of the function f' to estimate the intervals on which the function fis (a) increasing…

A: First order derivative test is used to determine whether a function is increasing or decreasing in…

Q: Change the order of integration (show all steps, including graph) Sax fay+fdx fay 0 -10

A:

Q: A population of single-celled organisms was grown in a Petri dish over a period of 16 hours. The…

A: Given: Time (x) Number (y) 0 25 2 36 4 52 6 68 8 85 10 104 12 142 16 260 To…

Q: There is a function with two variables f(x,y)=exy + √x +2 (i) Find the first order Taylor…

A: As per the question w are given a bivariate function as : f(x,y) = exy + √(x+2) And we have to find…

Q: Given: z = 6(cos30° + isin30°), find 3. z³

A: Given the complex function

Q: Determine for which values of m the function (x)=x" is a solution to the given equation. 2d²y dy (a)…

A:

Q: Let A and B be non-empty sets. Using the element method prove that: If ACB, then AU (B - A) = B. You…

A: Given A and B be non-empty sets. We have to prove that if A⊆B then A∪B−A=B. Let x∈A∪B−A ⇒x∈A or…

Q: Find a, b, c such that the following change of order of integration holds: 3 clnx LL f(x, y)dydx =…

A: The given integral is                 ∫13∫0ln xf(x,y) dydx

Q: Maximize z = 4x + 2y, subject to the following constraints. (See Example 8. If an answer does not…

A:

Q: vergence for lim 6-0 sin h hº cos h h 0.

A: Given that limh→0sinh3-h3cosh2h=0. The rate of convergence can be calculated by evaluating the…

Q: Suppose G(r) is the generating function of a sequence (an), satisfying G'(r)=rG(r), G(0) = 1. iii.…

A:

Q: Ju udv-uv- 1 [vdu to Explain why the substitutions below are inappropriate. Let dv <=x x dx 1.…

A: Here we will find how to use integration by parts

Q: 2. The value of f(x) dx = ..., for each Chebyshev polynomial T₁ (x), n ≥ 0. √1-x² c) 0 d) None of…

A: The Chebyshev polynomials are two sequences of polynomials related to the cosine and sine functions,…

Q: 3. Evaluate 5 sin rdx

A: We know, sin2x = 1-cos2x Also, ∫ xn dx = xn+1/(n+1) + C   Given, ∫ sin5x dx = ∫ sin4x.sinx dx…

Q: 1 (-1)-1 (ii) 1 +... 5 2n-1 (b) Show that the interval of convergence of the series 1 1 -√2ses.…

A:

Q: Question 5 ( A manufacturer assembles personal computers. If the computers are priced at £1,000…

A:

Q: Test the series n=17²³+ for convergence or divergence.

A:

Q: O Consider the following linear program: minimise x1 + 2x2 - 6x3 subject to 4₁ - 8x2 + x3 = 10,…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Let T:P2 →M be defined by T(p(t))=[p(1) p(1) p(1) p(1) p(1) p(1)], where P2 ={at2 +bt+c, where a,b…

A:

Q: The eigenvalues of the coefficient matrix can be found by inspection or factoring. Apply the…

A:

Q: 3. Find the fixed point(s) of f: [1, ∞)→→ [2, ∞) defined by f(x) = √²+x.

A: 3) To find: fixed points of f:[1,∞)→[2,∞) defined as f(x)=x2+x.

Q: (a) Let n be an integer. Consider the function xsin, x0, f(x)= { 0, x=0 Find the suitable condition…

A: we will find limits to check continuity and differentiability ,  Slope of tangent to any curve  is…

Q: Fill in the blanks. 1. If f(x) is a linear function and g(x) is a quadratic function, then a)…

A:

Q: 4. Where N denotes the set of natural numbers, say that a set X of natural numbers is computably…

A: The solution to this question is indeed, An is calculably divisible from B. This is on the grounds…

Q: Determine the validity of the following argument: (Show the three-step procedure for determining the…

A:

Q: Set up the iterated (triple) integral for the integral ]]] xy¹z³ dV where S is the tetra- S hedron…

A: We will find limits of variable and then find value of integral

Q: 4. In Chebyshev polynomials form, the value cos 20 = ... a) (T₂(x) + T₁(x)) c)(T₂(x) - T₁(x))) O b O…

A: Solution

Q: 1. Suppose £5000 is invested for five years. Calculate the amount accumulated at the end of five…

A: As per the guidelines i had solved the first questions kindly post another questions separately.

Q: ii) in triple cross of vectors (A × B) × C = C × (B × A). iii) A is 2 x 2 unit matrix, B inverse of…

A:

Q: 1. The LP problem has an unbounded feasible region A. True B.False 2. How many corner points are…

A:

Q: Power series p₁(z) and p2(x) are given below. P₁(z) = 1 + 7x +49x² + 343x³ +2401x¹ +... P2(x) = 1 +…

A: