To find the equation of a plane which cuts intercepts a, b, c res- pectively on the axes of coordinates.

Q: Q1:/Verify that the given function is harmonic and find it is harmonic conjugates so that f(z) = u +…

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Q: The integral, f(x) da -3du = 6x sin(x²) dx. 6x sin(x²) ✓cos(x²) Which one of the following is the…

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Q: 5. g(x-3)= же Ex7-3x х<3 x73

A: Explanation of the answer is as follows

Q: A large tank is partially filled with 100 gallons of fluid in which 20 pounds of salt is dissolved.…

A: Here we solve the differential equation for the concentration of the salt. If concentration is X at…

Q: Q1:/Verify that the given function is harmonic and find it is harmonic conjugates so that f(z) = u +…

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Q: Find the most general functions X(x) and Y(y), each of one variable, such that Z(x, y) = XY…

A: The given problem is to solve the given partial differential equation with given initial conditions…

Q: Let A,B be sets. Prove that AAB = if and only if A= B

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Q: In this problem, y = c₂ex + c₂ex is a two-parameter family of solutions of the second-order DE y" -…

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Q: * solve the system of equations by jacobi's iteration method 10a -2b-c-d=3 -2a+10b-c-d=15…

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Q: Let C₁, C₂, C events form a partition of the sample space. Let A, B be events such that P(BnC;) > 0…

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Q: 5. Given the equation xy = Arctan(ye*) where z is a function of a and y, Əz əz find and ar ду

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Q: 3. Let f(x, y) = ey and a point P(1,0) a. Solve for the gradient of f at the point P. b. Find the…

A: Given: The function, fx,y=exy and the point, P1,0. (a.) To solve: The gradient of f at the point P.…

Q: Consider the initial value problem y' + y = 4+2 cos 2t, y(0) = 0. a) Find the solution of this…

A: Given initial value problem is y'+34y=4+2cos2t, y0=0. a We have to find the general solution of the…

Q: Given A = [2 4] and B = [3; 2], which one of ?the following expressions is illegal A. *BO A+B'A+B' O…

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Q: Find the general solution of the given differential equation.. dy + +2y=x³ -* dx y(x) = Give the…

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Q: The population of a certain community follows the law of exponential change. If the present…

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Q: In this problem, x = c₂ cos(t) + c₂ sin(t) is a two-parameter family of solutions of the…

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Q: Find -1 s² (s+1)(s−1)²

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Q: Solve the given initial value problem and determine how the interval in which the solution exists…

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Q: Q1:/Verify that the given function is harmonic and find it is harmonic conjugates so that f(z) = u +…

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Q: Q.3. If (4x + 5y + 7z = 14) is equation of a plane and (x = 2 + 2t, y = 1 - 3t, z = 2 + t) is…

A: We have to find the equations of the new line and new plane.

Q: Q2\ Solve by picard method (up to four approximation) y' + y = e* and y(0)=0 Find y(0.1)?

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Q: Find the solution of the given initial value problem. ty' + 2y = sint, y "() = 5, t > 0 ||

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Q: Prove that if two pairs of opposite edges of a tetrahedron are perpendicular, then the third pair is…

A: We have given ABCD is tetrahedron and two pairs of opposite sides are perpendicular i.e. we take…

Q: Solve the given initial-value problem. dy X + y = 6x + 1, y(1) = 9 dx y(x) = Give the largest…

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Q: Let m, n,kEN such that k s min(m, n) Show that (Hint: from a count argument) C₁=CC₁+C₁ C₁+CC

A: The answer is given below in the step-2 Box. Please check it.

Q: Q6) Test the convergence of the following (n+1)(n+2) 1) Σ=1 n! n! 2) Σ=1 3) En=1 (2n+1)! (n!)" ·…

A: The solution is given as

Q: 4. In the following figure which points are extreme. 5. Define a face and edge in polyhedral set.

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Q: Q6) Use Gauss- Jordan Elimination method to solve the following linear equations. 2X + 2Y = 2…

A: We Know that Steps for Gauss-Jordan Elimination Method :  To perform Gauss-Jordan Elimination: Swap…

Q: Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

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Q: If Y (1) =12, Y (2) =15, Y (5) =25, Y (6) =30. Find the Value of Y (4) =?

A: Here given that if Y(1)=12, Y(2)=15, Y(5)=25, Y(6)=30 . We have to find the value of Y(4) .

Q: *? f(x)= x-1+ 5x, what is function linear O non above O Non linear O O O

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Q: k ven Wk-r [cos (+2)+i sin(+2)]; k=0,1,2,3,...n-1 k) Find the cube roots of (1+i). Express Z= e in…

A: We find the cube root of (1+i).

Q: Consider the following autonomous first-order differential equation. dy-y²(25- y²) dx Find the…

A: For an autonomous system of the form: dydx=f(y), it can be written that: The region above or below…

Q: Q1:/Verify that the given function is harmonic and find it is harmonic conjugates so that f(z) = u +…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Solve the given initial-value problem. dy dx +y=6x + 1, y(1) = 5 y(x) = Give the largest interval /…

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Q: Let T: ²->² be a linear transformation that maps u = Use the fact that T is linear to find the image…

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Q: Let A be a 3 x 3 matrix. Which of the following is not a valid row operation when row-reducing the…

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Q: Which of the following is the reduced row Echelon form of: k 11² ? Select one alternative: 0 k [1 1…

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Q: Solve the problem. Describe all solutions of Ax - b, where 2-5 37 -2 6-5 and b = 7 Describe the…

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Q: Suppose that two dice are rolled such that : A: what is the pr. that a sum of (7) or (11) turns up?

A: This question is related to probability problem of dice.

Q: By means of Lagrange's formula, prove that 1 Yo = - 1 - [2 (y₁+y_₁). (Y3 - y₁) 2 -Y₁) - 2 (Y-₁-y-3)…

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Q: If f(x) is linear, g(x) is linear, and h(x) = f(x)/g(x) What is the maximum number of vertical…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous. =…

A: Given differential equation is xdydx=y+x2−y2......1. We have to solve the given differential…

Q: Choose one oscillate independently of y(0). approach -∞, -1, or ∞ depending upon the value of y(0).…

A: Given: y'=4sin t +1+y To find: Dependency

Q: According to Excel's sensitivity report for the previous formulated model (Eagle Tavern), the…

A: Given: Betty stocks three brands of beer. The number of gallons of Yodel=x1 The number of gallons of…

Q: Evaluate the determinant using laplace expansion.

A: We evaluate the given determinant using laplace expansion:

Q: 4. Express each of these statements using predicates, quantifiers, logical connectives, and…

A: We know that , A Predicates is an expression of one or more variables defined on some specific…

Q: Q3\ using Euler method, find an approximate value of y corresponding to x€ [0 -0.7], Given = x(x +…

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