1. Find the number of non negative solutions to x + y + z + w 16. With the conditions that x > 2, y > 3, z > 4, w < 3.

Q: Find the general solution of the DE y" +2 y' +2 y= a cos (wt), where a and w are constants. Note: Wr...

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Q: Q3: Determine the eigenvalues and eigenfunctions for the SLP %3D x*y + 3xy + Xy = 0, y(1) = 0, y(4) ...

A: Given SLP is x2y''+3xy'+λy=0   (1) with condition y(1)=0, y(4)=0 Let x=ez Then (1) will be D1(D1-1)-...

Q: Q1/Use Newton's Method to find the only real root of the equation .correct to(6)decimal places X3-4x...

A: Given x3-4x2+x-10=0 We shall find the root of the given equation using Newton's method.

Q: y" – 2my' + m? memx

A: Given: Determine the general solution of the given, yιι-2myι+m2=memxxmwhere m=4, x=1.

Q: Use rules of inference to show that if ∀x(Y(x) → (Q(x) ∧ S(x))) and ∀x(Y(x) ∧ R(x)) are true, then ∀...

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Q: 1) Find all the local maxima, local minima, an ints of the function:

A: INTRODUCTION: For the critical point (a,b) of the function f(x,y), if D(a,b)&gt;0 and fxx(a,b)&gt;0,...

Q: Let U = {0, 1, 2, 3, ..., 12}. A = {1, R - S1 2 5 7 o C - SO 2 4

A: # we are entitled to solve three subparts at a time, please resubmit the other parts if you wish to ...

Q: 6. Find the radius of convergence of the power series 8. Σ x2n · 4n • U n=1

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Q: Evaluate the line integral So 7y dr + 3x dy where C is the straight line path from (2, la 7uda + 3z ...

A: Introduction: A line integral is an integral that determines the function to be integrated along a c...

Q: Determine the value of x which satisfies the following linear system: [3 71 12 A. 2 В. 4 С.-2 D. -4

A: Given 3726xy = 24

Q: Consider a point xA = (x, y, w)' in image A, and a Fundamental matrix of the form fu f12 fi3 f21 f22...

A: Given: A point in image A, xA=x,y,wT and a Fundamental matrix of the form, FAB=f11f12f13f21f22f23f31...

Q: Suppose a box contains 4 red and 4 blue balls. A ball is selected at random and removed, without obs...

A: Solution:-

Q: Q.2) Evaluate cln 7 cln 2 cln 5 e(z+y+3) dzdydr In 6 In 4

A: Given triple integral is ∫ln6 ln7∫0ln2∫ln4ln5 ex+y+z dz dy dx   Note:- ex+y+z =ex ey ez

Q: en: Hồ a HE, HP is an angle bisector of 20HE H- ve: ΔΟΗΡ ΔΕΗΡ of: Statement Reason но в НЕ Hồ HE | 1...

A: In this question, the various properties are applied to prove the congruency between two triangles. ...

Q: 4. Determine whether the following functions are one-to-one: a) f (x) = "+1 for all real numbers x +...

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Q: If ax2 +2hxy+by2 =0 represents two straight lines such that the slope of one line is twice of the ot...

A: It is given that the slope of one line is twice the slope of the other line. Let m be the slope of t...

Q: 5. Find the number of non negative solutions to x + y + z = 21. With the conditions that x 2, z > 4...

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Q: Complete the following tables. * - 5 r- 3 72 – 6x + 9. r- 3 ² – 6x + 9. 2.5 3.5 2.8 3.2 2.9 3.1 2.99...

A: We can solve this by using definition of limit

Q: Q1:Find an orthonormal basis for the Euclidean space Rª that contains the vectors -HH [0] u1 = ; Uz ...

A: Here we have to find an orthonormal basis for the Euclidean space R4 that contains the vector  U1=11...

Q: Find the following limits if they exist. 1. 2 8x 4x+1 lim x0 x-7 2 lim x0 5x-7 X +2 x +x+ 27 lim 2 X...

A: It is known that limy→∞ay=0, where a is a constant. The limit: limx→∞P(x)Q(x) exists, if the degree ...

Q: A. Each week, Gavriel buys cheese (C) and sausage (S) which provides her a utility of U- 5th root of...

A: We will use  method of lagranges multiplier . To maximize f(x,y) subject to g(x,y)=k  Solve system o...

Q: The graph shows a region of feasible solutions. Use this region to find maximum and minimum values o...

A: Given a graph which shows a region of feasible  solutions. We have to find maximum and minimum value...

Q: į326545i7287 -3i8746 Simplify: i6745-2i6424

A: The property of exponents are am·an=am+n, (am)n=amn, where a, m, n is any number,  The property of i...

Q: Q2/ Find the solution of the fa Equations

A: Introduction: The solution to the homogeneous differential equation of order one (y'+p(x)y=q(x)) is ...

Q: 3 Evaluate (2 + V-9)". A. 46 + 9i C. -46 + 9i B. -478 – 621i D. 8 + 27i

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Q: A car dealer will sell you the $16,450 car of your dreams for $3,290 down and payments of $333.97 pe...

A: Introduction: APR is a term that is used in financial mathematics. It represents the annual percenta...

Q: 2. Draw all non-isomorphic trees of order n, where 2 < n < 6.

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Q: A container has 5 red dice, 3 green dice and 4 black dice. If you randomly pick 2 marbles from the b...

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Q: |a² +1 ab ac The value of the determinant A= ba b2 + 1 bc equals cb c2 + 1 са A. a? + b? + c? B. 1- ...

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Q: -dx using 4 trapezoids. What is the error bound for the approximation this problem

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Q: in matrix equation [A] {X} = {R}. %3D (2)

A: INTRODUCTION: Eigenvalues are a subset of scalars that are associated with a system of linear equati...

Q: Evaluate the following limits. 4 – 3y? – y y-2 6 - y – y? 3 - 712 + 14r – 8 5. lim 6. lim I-1 2r2 – ...

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Q: Determine whether the line integral of each vector field (in blue) along the semicircular, oriented ...

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Q: Jenny borrows 3000 from her local bank at annual interest rate of 3.25% to be paid back in six month...

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Q: Solve for x that satisfy the equation x2 + 36 = 9 – 2x2 A. +6i В. +3і С. 9i D. -9i

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Q: Find the solution to the initial-value problem. y' = −6x tan(y), y(0) =  ? 2

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Q: Note: if f(x) is increase or decrease always.then f has an inverse Ex/ show that f(x) = x +7x + 4 x+...

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Q: Complete the statement. If PN bisects ZKPI, then N K PN = PN PI = PK Option 1 Option 2 ZPNI = ZPNK Z...

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Q: 14. Two cars start from rest at a traffic light and accelerate for several minutes. The graph below ...

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Q: 14 If 12 13 3 then x is А. 6 В. —2 С. 2 D. -6

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Q: 6. Use the fact that every odd degree polynomial with real coefficients has a real root to show that...

A: Show that the function f:ℝ→ℝ defined as fx=x5-2x2+x is onto for all x∈ℝ. Definition:  A function f:A...

Q: Find the minimum and maximum values of z= 2x + 9y, if possible, for the following set of constraints...

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Q: Which is NOT a solution of V2- i ? C. -0.4717 + 1.2196i D. -0.8204 – 1.0183i A. 2.2094 0.3442i B. 1....

A: To find the nth root of a complex number we have to use de'Moivre's formula : z1n=z1ncosθ+2kπn+isinθ...

Q: 3. If the function f : R R is defined by the rule f (x) = 4x + 1 for all real numbers x is one-to-on...

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Q: isfies the differ and the auxi

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Q: 5. Let V be a vector space over a field F, and let U be a subspace of V. Using the fact that U is a ...

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Q: (0,1) r(1,1) (0,1) •(1,1) If F is a path-independent vector field, with F. dr = 4.9 and F. dř = 2 an...

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Q: Evaluate the base (3-4i) logarithm of 10e^2.05i. Express your answer in rectangular form in 4 decima...

A: This is a problem of complex analysis.

Q: f(z+h) f(z) Find and simplify if f(x) 4 – 7x

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Q: 2x (г — 1)2(2?2 + 1)

A: In this question, the concept of Integration is applied. Integration Integration is a method of brin...