3. Solve the linear system using Gauss-Jordan method I 2x+y+z=2 y+z+w=2 x+y-z=0 x + 2z-w=1

Q: Allow A be the point with Cartesian coordinates (6, 9), and D be the plane curve with parametric…

A: The slope of the tangent to the curve: y=fx at x=a is f'a. The point-slope form of a line that…

Q: . The speed limit on a highway is on miles /hour. Express this in a) meters/sec b) m m / microsecond

A:

Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² +…

A: Let us start solving the problem step by step... Given x2+y2-2y=0 y=2-x Revolving about y=0

Q: what is the unit of the final answer?

A:

Q: (3) The solution of the following problem for the wave equation on the entire real-line: that=Uz…

A:

Q: Find the volume of the solid generated by the region bounded by x2 + y = 6, y = x, y = -2 and x = -2…

A: Here we see the effect of revolving small depth dx.

Q: Find the complete solution of 2e-2 Note: fe"du=e" + C dy sin²x = 0. dx COS X--

A:

Q: 11 > Find the minimum and maximum values of the function f(x, y, z) = x - y4 - z4 subject to the…

A: Solution:-

Q: 1. Use Cramer's Rule to solve the below given problem. 4 5 -2 11 A = 7 12 -6 X = 49 2 6 0 8

A:

Q: A particle is moving along a line in such a way that v centimeters per second is the velocity of the…

A:

Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² +…

A: Solution

Q: function √x² + y² + 1 x² + y² 2 f(x, y) = 1 if (x, y) = (0,0) 2 2 (x, y) = (0,0). If not, classify…

A:

Q: 5. Find all the solutions of the system below. 1 • (-) = -(+) a. y C 0 b. (+1) = c(-¹) y C -1 1 1 2…

A: 1211-11212xyz=000

Q: Q3: Use finite difference method to solve Laplace equation in the red domain illustrated below. Ax =…

A:

Q: In descent methods the particular choice of search direction does not matter so much, true or false?…

A: Solution :-

Q: dy Find the complete solution of 2e2¹ cosx- dx Note: fe"du = e" + C - sin² x = 0.

A:

Q: Set-up the integral which yields the area of the indicated region R between C1 and C2. Given: polar…

A: Solution:-

Q: 2. Using both trapezoidal and Simpson rule, find the approximate values for the integral…

A: Let  I= ∫π4π2ln(tanx)dx Here, a=π4 , b=π2 , f(x) =ln(tanx) Step size h=b-1n=π2-π410=π410=π40 Then…

Q: b) Solve: P(4)=4-5t + tetsint

A:

Q: QUESTION 2: Find the approximation for the integral 4 1 S₁ 2x² dx, when applying: the Trapezoidal…

A:

Q: Consider the polar curves C₁ : r = 3 (in blue) and C₂: r = 2-2 sin (in red) and let R be the shaded…

A: 1. We can calculate the intersection of two polar curves by equating two given values of r in the…

Q: 77 [(8-x1²- (2+x²) ² ]dx 1-2 663.5817

A: let I=π∫-228-x2-2+x22dx since the function is even , integral becomes I=2π∫028-x2-2+x22dx simplify…

Q: For each problem below, use algebra to answer the questions. You may find it helpful to draw and…

A:

Q: +∞o Letan be a series such that Sk = a₁ + a₂ + +ak = 2k k+2' for k € {1,2,3,...}. Identify and n=1…

A:

Q: Mondo furniture manufacturer, determines that in order to sell x tables, the price per table in…

A: The revenue function is calculated by multiplying the price function by the number of quantities.…

Q: The fuel efficiency, E, in miles per gallon of an SUV depends on its weight in pounds, w:…

A: For algebraic part 2c we will use calculus  For relative maximum or minimum To maximize or minimize…

Q: Find a particular solution of dy =(x−1)² if y=-21when x=-3. dx

A:

Q: 3 Let f(2)= (2 + 1)(x - 2) and use this result to evaluate Find the Laurent series expansion of f…

A:

Q: 3. Consider the points K (-1,0,7) and M(1, -2,5), the vector MN = (1,4, -3) and the li symmetric…

A:

Q: and m' be two R-modules. e set Hom, CM, Mm) is an group under pointwise of morphism

A:

Q: Consider S as a quadric with equation 4x² − (y − 3)² + 4z² = 4 1. Find an equation of the trace of S…

A:

Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² +…

A: Let us start finding the centroid X2+y2-4y=0 Y=4-x Revolved about y=0

Q: Village C (he is at Village A): A → Bk → C for k Marvin is deciding a path from three (3) routes to…

A: Solution : Conditional probability: probability of A given that B already happened. P(AB)=P(A∩B)P(B)…

Q: Determine the Cartesian equation of the tangent line to C1 at the point where θ = π/2 .

A:

Q: y = √x-1, y = 0, x = 5, 16. Find the volume of the solid produced by rotating the region enclosed by…

A:

Q: Find the minimum and maximum values of the function f(x, y) = x²y + x + y subject to the constraint…

A:

Q: Given the curve of intersection of the x² + 4y² -z = 0 which is a paraboloid and the plane 2x - z =…

A: Solution:-

Q: 3. At what time does the ball hit the ground? 3a. 3b. 3c. 4. At what time is the ball 500 ft. above…

A:

Q: +siny+x

A: Side View

Q: Identify the length of the curve 1X = ²+2y — In(y + 1), for 0 ≤ y ≤ 2. - 8

A:

Q: (0) 2³ e-1/² dz

A:

Q: X Question 9 of 11 > Find absolute maximum and minimum values for f (x, y) = x² + 10xy + y², defined…

A:

Q: hat is the final answer and it's unit?

A:

Q: Given: polar curves C₁ : r = √2- cos 0 and C₂ : r = √2+ sin intersecting at A(³√2, 37) and B(√2, 77)…

A: Given,C1 : r =2-cosθ  When θ =π2r =2⇒(r, θ) =(2 , π2)

Q: Given: vector-valued function R(t) whose derivative R'(t) = (4t, 6t, —12t) (b) Reparametrize R using…

A:

Q: answer letter b

A:

Q: Area of the Surface obtained by rotating the curve about the x- 0 ≤ x ≤ 1

A:

Q: 1. Find the inverse of A = 1 1 1 2 3 01 1 using the Gauss-Jordan method.

A:

Q: 1. Consider the function f(t) = 250 (0.78)'. a) Use your calculator to approximate f(7) to the…

A: Solution

Q: 2. y" - 6y +9y = 2 sin 3x; y(0) = 1, y'(0) = 1

A: