3)Differentiate. y =- 3 √√√x2+3 X

Q: Simplify the following expression completely: (2x(6)y(3)z(7)) (3x(2)y(4))  Answer:--  ?

A: Given expressionWe have to simplify.We know in algebraic multiplications same base power gets added.

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A: According to the Newton's Law of Cooling :t=timeT(t)=Temperature of the thermometer at time…

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A:

Q: Determine whether b can be written as a linear combination of a₁ and a2. In other words, determine…

A: Please refer to the solution in next step.

Q: Determine the global extreme values of the function f (x, y) = x³ + x²y + 4y² on x, y ≥ 0, x + y ≤…

A: , .We have to find  and .

Q: Let A be a skew-symmetric n X n matrix. (a) Prove that xT Ax= 0 for all x in Rn. (b) Prove that I+ A…

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Calculate the area under the curve of the following function.…

A: Given: .To Do:Calculate area by,Method of partition.Definite integral.

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A:

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A: Given the relations and on a set represented by the matrices and .We have to find the matrix…

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A: Given system of differential equations

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Q: Find a basis for the solution space of the given homogeneous linear system. X₁ - 3x₂- 9x₂ - 5x4 = 0…

A:

Q: Consider the relation R = {(a, c), (a, d), (c, b), (c,d), (d, d)} on the set {a,b,c,d}. Find the…

A: Given: Relation  on the set .Objective:  Find the reflexive closure of . Find the symmetric closure…

Q: 2-) f(x) + 3f² + 2f = b(x) Solve the differential equation given above.

A:

Q: y' =t (y²) (1 + t²) −² 1 3 y (0)

A: Given problem is

Q: i. L-1 k. L-1 [2s3 + s² +3] S4-1 3s +1 2 S3-s²+s-1

A: We have to find the Note: According to the guidelines we are allowed to solve one question at a…

Q: Ο 11 ΓΟ Let A = 2 40 Shown below is a sequence of elementary row operations that reduces A to the…

A: The basic  step of calculation is to apply the given transformation to the identity matrix of order…

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A: We want to find derivative of

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Q: Find a unit vector in the direction in which f(x, y, z) = 2x³z² + 2y³z + 250z − 4 increases most…

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Q: 1. y" + 5y + 4y = 5e4x + 4, y(0) = 0, y'(0)|= 1

A: The differential equation is .We have to solve the given differential equation.Note: According to…

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Q: 6. Find a one-piece Bézier curve that has a horizontal tangent at endpoint (0, 1), a vertical 1 2 1…

A: Given:The endpoint  has a horizontal tangent.The endpoint  has a vertical tangent.The curve passes…

Q: Problem 3. Let a, b and n be positive integers. Prove that (a) gcd(an, b″) = gcd(a, b)” and lcm(a”,…

A: To prove the given statements, we will use the following properties of the greatest common divisor…

Q: Part 1: A. Differentiate the following functions with respect to x y = xe ²x (ii) y = 2x³ cos x…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

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A:

Q: At age 18, someone sets up an IRA (individual retirement account) with an APR of 8%. At the end of…

A: Deposit at the end of each month

Q: Consider f(x) = x² + 4x + 11. Prove lim ƒ(x) = 8. X→-I Your proof should be in terms of the E - 6…

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Q: y) = xy - 3y² is differentiable by finding values of ₁ and ₂ that satisfy the following definition.…

A: We have to show that the function is differentiable.

Q: For the following matrix A, [3 5 A = 0 2 0 02 1 Find the eigenvalues of A and the corresponding…

A: The given matrix .We have to find the eigenvalues and eigenvectors of the matrix.

Q: [-1 4-2] Since it is known that matrix A =-34 0 is diagonalizable, which of the following can -3 1 3…

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Q: 6. Two particles under rectilinear motion have positions defined, by the equations; S₁ = t³ + 6t² -…

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Q: Q2. By using Euler- Lagrange method, find the points on the circle x²+y²80 which are closest to and…

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Q: √2 1. Verify that y₁(x) = e-x/³ COS x and y₂ (x): 3 = e-x/3 sin- x are solutions of the differential…

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Q: Evaluate the integral. (Use symbolic notation and fractions where needed.) xy dz dy dx =

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Q: (a) Find the inverse of all the given matrices, if they are invertible, using Gauss-Jordan method?…

A: Since there are more than one questions, so find the solution of the first question.

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Q: d. L[3x7/2] L[6t10/3] e. f. £[x3 sinh 4x] -O

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Q: The radioactivity of certain element decreases 10 percent every year. Determine the half-life of the…

A: Given thatThe radioactivity of certain element decreases 10 percent every year.We have to determine…

Q: e. x" - 3x-y' + 2y = 14t+3; x(0) = 0, x'(0) = 0, y(0) = 6 x' - 3x + y = 1

A: Note: According to the guidelines we are allowed to solve one question at a time. So please post…

Q: True or False? Justify your answer. d) If A is a 5×6 matrix of rank 3, then the solutions of Ax=0…

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A: Given the function  , for .

Q: Find the Laplace transform Y(s) = L{y} of the solution of the given initial value problem. Y(s) = y"…

A: Introduction: Laplace transform is named in honor of the great French mathematician, Pierre Simon…

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A: Given matrix:

Q: Find the minimum of f(x, y, z)= x² + y² + z² subject to the two constraints x + y + z = 1 and 4x +…

A: Below is the procedure for lagranges multipliers method.

Q: Fill in the blank/s: You can use your graphing calculator to provide evidence of an identity. Graph…

A: You can use your graphing calculator to provide evidence of an identity. Graph the left side and the…