Solve the following system of equations using Gaussian elimination method. If there are no solutions, type "N" for both z. y and z. If there are infinitely many solutions, type "2" for z, and expressions in terms of a for z and y. 52-6y-62-2 -62-8y +72-9 20x + 24y + 24-8

Q: Directions: Consider the following function f(x). f(x) = 4x² - 3 Part 1 - Difference Quotient If h =…

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Q: 6- 5 2- 1 1 2 3 Based on the graph above, estimate to one decimal place the average rate of change…

A: As we know  Average rate of change of function fx in interval a,b=fb-fab-a

Q: In the figure, the equation of the solid parabola is y=x²-6 and the equation of the dashed line is…

A: Given data:- The equation of a solid parabola, y=x2-6  The equation of the dashed line,  y=5x

Q: For what values of a and b is the following function continuous at every x? 1 x≤-1 f(x) = ax-b -…

A: Given data: Function,  f(x)= 1                      for  x≤-1   ax-b             for -1<x<37…

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: y=(2+x)2(1-x)3

Q: Exponential decay. Subsonic flight. The efficiency of the engines of subsonic airplanes depends on…

A: This is a problem related to exponential function. Please follow the procedure given below.

Q: Write an equation for the function graphed below. -6-3-43 g(x) = V 4 4 3 2 46 && वि

A: From the graph we can see that g(x) cuts x axis at two points

Q: Solve AABC subject to the given conditions, if possible. Round the lengths of the sides and measures…

A: We can find the answers in the below steps.

Q: Eliminate A and B from x = A sin(wt + B). w being a parameter not to be eliminated. Ox"+w^2x = 0…

A: To form the differential equation.

Q: a. Find the equation of the line tangent to the function at the given value of x. b. Use a graphing…

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Q: 1. (2xy-3x²) dx + (x² + 2y) dy = 0

A: Given 2xy-3x2dx+x2+2ydy=0

Q: Find the derivative of the function. h(t) = (t²-1) (t³ + 1)6 h'(t) =

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Q: Graph the given functions, f and g, in the same rectangular coordinate system. Describe how the…

A: We need to graph the given functions and also need to write down the relationship.

Q: 1. f(x) = x7.² + 2x². - x−5+4x − 1 2. g(x) = 5e* — x² + e 3. u = √√√√³+√t + t -

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Q: Find the derivative of y = In O O a.) dy dx =In(5) +4ln(x) —In(cosx) 4 1 dx X COSX b.) dy = c.) dy 1…

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Q: Find the standard form of the equation of the circle tangent to both axes at (-3,0) and (0,3)

A: Need to find out the standard form of the equation of the circle.

Q: Consider the function of two variables f(x, y) = ln(5x 6y) + e* cos(3y) (a) Compute the first-order…

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Q: Describe a function g(x) in terms of f(x) if the graph of g(x) is obtained by performing the…

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Q: Let f(x, y) = (- (x+y))³. Then 02f ?х у ә3f дхдудх ә3f дх2 ду о

A: This question can be solved by the concept of partial derivatives.

Q: Problem 5. Find in two ways: (a) (b) (c) S sin 2x dx Using the u-sub u = 2x. Using the identity sin…

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

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Q: dy Find when y= dx (a) (c) ax² √bx+c abx² + 4acx (bx + c) √bx + c 3bx² - ax (bx + c) √bx+c :, where…

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Q: 13. Find the point (x, y) on the curve y = x² + 1 that minimizes the distance to the fixed poi (4,…

A: Given curve:- y=x2+1 We know distance between points x1,y1,x2,y2d=x2-x12+y2-y12

Q: Find the following limits. Show all work a) lim x-0 b) lim X-8 c) lim X18 √2x+1-√√x+1 X 2x³-3x+1…

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Q: 6. y = 3x - st

A: Given :y=3x-15x3

Q: 2 Given tane = find csc0, cos0, sec, cot0, sinė if 0 is in Quadrant III. 3

A: Given  tan θ = 23.

Q: Find the third derivative of f(x)=^3sqrt(9x+1)

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Q: Given the point in polar coordinates 3.7, Part: 0/2 Part 1 of 2 find two other polar coordinate…

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Q: X If z = tan € Y y=u²v², find the following partial derivatives using the chain rule. Enter your…

A: Here we have to find the partial derivative.

Q: FInd d/dx (1-xe^2/x+e^2 Derivative: ___

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Q: f(x)=x^3(x+3) *differentiate the function

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Q: Find the partial derivatives indicated Assume the variables are restricted to a domain on which the…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: 2. A balloon is released upward from the ground at a speed of 5 m/s. When the balloon was 10 m above…

A: In such type of problem we generally use the pythagoras triangle rule . ie.x2+y2=z2

Q: A line passes through points A(3, -1, 4) and B(2, 0, 5). 7a) Write the parametric equations of the…

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Q: -9. Sohe DE dy + (²) y = 6x³ tso a b. by² = x² +6 t C. c. t^²y = t³xc d. by ≤ b ² + c 46

A: To solve the following differential equation DE.dydx+2xy=6x3

Q: 1. Evaluate lim h→0 if f(a+h)-f(a) h f(a)= a² - 4a +6 2(a+2) O2(2a-1) O4a-2 2a-4 None of the Choices

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Q: To complete thi of proportional Macmillan Learning For purposes c C travels approx 1/2 that of the…

A: Circumference of moons orbit = 2.4   Satellite is half the distance of the moon radius of satellite…

Q: 1.  Given the function y = x⁴-2x²: DETERMINE THE MAXIMUM POINTS,  MINIMUM POINTS, AND INFLECTION…

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Q: General Direction: • Evaluate the limit of the following transcendental functions using TABLE OF…

A: limx→ -142x

Q: Find the solution of the IVP Then, evaluate y(1.063). x²y" = (y')², y(1) = 0, y′(1) = −1

A: Given 1. x2y"=y'2 2. y1=0 3. y'1=-1

Q: Write a simpler function that agrees with the given function at all but one point. Then find the…

A: Given, limx→0x4-5x2x2

Q: 3) Express each of the following using absolute value notation a)-7≤x≤7 b) - 4) Evaluate -12-√11-15…

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Q: 4х + Зу For the function h(x,y) = · 3ху -2' əh əh find and дх ду

A: Given query is to find partial derivatives.

Q: 10. S π/2 cos x dx (sin x)√√sin²x-(1/4)

A:

Q: Question 3 Let P(t) be a deer population (in thousands) of an ecological region t years after 2000.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Determine the percentage relative error (In 2 decimal places) when we compare the derivative of…

A: Since, we have been asked to solve through increment method which state that:-limh→0fx+h-f(x)hAs we…

Q: y = x(2x + 1)³, find y".

A: Topic = Derivative

Q: Write the function below in the form y = f(u) and u = g(x), then find as a function of x. dx y = (5x…

A: Given, y=5x+113

Q: Consider the function f(x)=√x near x = 8. Find the linear approximation error when using the linear…

A: Given data:- The given equation, y=3x near x=8

Q: 1. Given the algebraic function x² − xy + y² = 3

A: Here is the solution: