Find the highest point, low point and saddle point (if any) of the f(x, y, z)=3x² + 2xy + y²

Q: Sketch the graph of the function f(x)= H

A: Given,         f(x)=x2x2-x

Q: Suppose that f has a point of inflection at (c,f(c)). Which of the following is not possible? a) f…

A: Follow the steps.

Q: Solve for Newton's Backward formula to find the interpolating polynomial of degree which…

A: Solution : Newton's backward difference method, y=f(x) Table for x and y x -1 1 3 5 y 1 -1 2 -2…

Q: 1. (D²-8D+20)y=100x² - 26xe*

A:

Q: Σx-13x2+1+3,5x3 n = 3! 5! 1.3.5.7 7! + (−1)n 1·3· ‚ 1·3·5·7· · · · · (2n − 1) xn + .. (2η − 1)!

A: We have to find the interval of convergence for the given series.

Q: Find the interval of convergence for each power series. Include endpoint convergence tests when…

A: To find the interval of convergence of the given series :-

Q: ts] Consider the series [a, - ² Σα-Στ = 2" 3" +1 (a) Show that the series a, converges by comparing…

A:

Q: Let X = {a,b,c,d} and Tx = {X, Ø, {a}, {a, b}, {a,b,c}} be a topology on X. Let y = {1,2,3,4} and Ty…

A: I have used the definition of continuous function in topological space.

Q: prove the following claims: suppose that ƒ is a convex differentiable function, then for any x, ye R…

A: To prove: Suppose f is a differentiable function then for any x,y∈ℝn, the following inequality…

Q: Q 1-1 9 1 1

A: Introduction: If a function has a finite number of breaks and does not blow up to infinity anywhere,…

Q: Let

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Q: 9) x² + y² + 12x + 22y + 108 = 0 CX+67² + y +117²=49 CX-47² \ Cy-151²=9 CX-107² + (y +1272²=9 CX-5)…

A:

Q: 1. Transform the unit square under 0 1 0-1 cos 45 sin 45 -sin 45 cos 45 10 03 Say what each…

A: To find: the transformation of unit matrix under given matrices.

Q: (b) Consider an object of mass m, dropped from some initial height and falling down towards Earth's…

A: According to the guidelines, we will solve first question only.

Q: The particular solution of (D³ - 5D + 4)y = 0, when x = 0, y = -2, y' = 8, y" = 0

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Q: Find the Laplace Transform of e-t sin2t 2 2s 2 A. ²/+ B. S (s+1)²+4 (S-1)²+4 C. S+1 s(S²+4) D. None…

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Q: Create a polynomial function of the form: f(x) = a (bx + e)(cx +g)²(dx + h)³, with the following…

A: To create a polynomial function of the below form that satisfies all the given conditions.…

Q: Description of task. 7. This is a method which involves using an iterative formula. You must…

A:

Q: Find area inside 3 - 3 cos 0 and outside r = 3 C

A: Introduction: The polar coordinate system is another coordinate system. In this system, a particle…

Q: A 2³-2 design was used to investigate the effect of A = condensation temperature, B = amount of…

A: Since, you posted multiple questions, we will solve 3rd question for you.

Q: By 28(1 + i√3) solve all of its z-values if it is raised to 14.

A: Solution : To find, 28(1+i3)14 =56eiπ3+2nπ0.25 where, n∈ℤ n=0,1,2,3 =2.74eiπ12+nπ2

Q: 3. Let R be the region below bounded by the parabola y = 4 - 2² and the lines 3x - 2y +3=0 and y =…

A: The region R is bounded by the parabola y=4-x2 and the line 3x-2y+3=0 and y=0.

Q: 2. Prove that the following infinite series diverges. Σ(-1)*. k=1 (Hint: write down the first few…

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Q: Consider the constrained optimization problem: min f(x), subject to ||||₁ ≤ 1. We apply a projected…

A: As per the question we are given an optimization problem which is to be solved using the projected…

Q: how graphically

A: Given: System of linear solution. To find: Solution of the given system of linear solution. As per…

Q: Construct a truth table to verify the following implication. p⇒pvq Construct a truth table for the…

A: p⇒p∨q

Q: Draw a Venn diagram to represent each relationship. 1. Some people check out books 2. There are no…

A: We have "There are no freshmen in AP Economics" So, we need to have a Venn diagram such that…

Q: A delivery service is considering the purchase of vans. The model SE costs $16,000 with an expected…

A: A linear programming problem is an optimization problem. It contains three parts. They are…

Q: Find f '(x) and f "(x) at x = 0 using finite difference approximation of O(h²). (Hint: you have to…

A: The table given is as follows: x 0 0.1 0.2 0.3 0.4 fx 1 0.9048 0.8187 0.7408 0.6073 We are…

Q: Set up the integral that gives the volume of the solid enclosed between the curves y=1/2x, x =2, x=4…

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Q: A particle is moving along the path given by R(t) = (sin(ln t), cos(ln t), √√3 lnt). (a)…

A: Introduction: The formula of arc-length of the polar curve from a to b is given by,…

Q: Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)…

A: Introduction: The simplex method is a method for testing vertices as potential solutions in a…

Q: 1. (D³+2D25D-6)y = 0

A:

Q: Need help with the last 2 I'm pretty sure the first one is correct

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Q: Use Ackermann's Formula to find the observer gain L so that the eigenvalues of A-LC are placed at -3…

A:

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: Given z=4-x2-y2, z=-1

Q: 15. If the standard quota of State Y is 78.24, then which of the following apportionments to State Y…

A: Solution

Q: Suppose that an equilateral plate that is 2 feet high is standing straight on the bottom of a 6 feet…

A: We will find force on horizontal slice of plate and then integrate it to find total force . 56u

Q: Let ƒ be a mapping from [2, +∞ [to, +∞[defined by: 3 f(x) = x + = x f has a fixed point. O False O…

A:

Q: use Newton’s Method to find the root of the given equation, accurate to six decimal places, that…

A: The equation in the form f(x)=0 is called a transcendental equation. The solution of the equation is…

Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESU 4. Lim (2 4 Arctanx.

A: Solution:-

Q: 3. Write matrices for an x-shear with shear factor -2, a rotation of 180, an enlargement of scale…

A: To Write: matrices for x-shear with shear factor -2, a rotation of 180°, an enlargement of scale…

Q: et FCK be a field extension and let R be the alg K. Then R is a subfield of K and FCR.

A: let alpha and beta are in R

Q: 2. The Minimum point of y= 8x+4 (x-2)²

A: This is the application of calculus.

Q: 1. Let g: DR be a function on D and (c, ∞o) C D for ome ce R. Then lim g(x) = 1 (1 € R) if and only…

A:

Q: Obtain a system of autonomous first-order differential equations in vector field format: (x + y² + x…

A: As per the question we are given a system of second order non-autonomous nonlinear non-homogeneous…

Q: Use the fourth-order Heun and Runge Kutta methods to approximate the solution to the problem dt = 2²…

A:

Q: use Newton’s Method to find the root of the given equation, accurate to six decimal places, that…

A: The equation in the form f(x)=0 is called a transcendental equation. The solution of the equation is…

Q: The length of each of the two congruent sides of an isosceles triangle is 2n + 7 and the length of…

A: Given that The length of each of the two congruent sides of an isosceles triangle is 2n + 7 and the…