Create your own examples. Formulate one given 4x4 equation (4 equations and 4 unknowns). Solve each given system of equations using all three methods: (a) Cramer's Rule (b) Gauss Elimination and (c) Gauss Jordan Elimination

Q: derivative of y with respect to x. y= In (6 In x) dy dx %3D

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Q: The population of a city is modeled by the equation P(t) = 434,361e0.15t where t is measured in year...

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  here we have P=1 m...

Q: B. Find the value of the limit. 1. lim *+1)²(x-1) x1 x³+1 x²–4 2. lim x1 x2-3x+2 x²-4 3. lim x2 x-2

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Q: Solve: x'y" - 2xy' + 2y =0 2_2)

A: Please refer to the image below 

Q: Suppose that f(5) = 1, f '(5) = 4, g(5) = -2, and g'(5) = 7. Find the following values. %3D (a) (fg)...

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Q: Find fræ, fry and fun for the function YY f(x, y) = 3x2 + 3x?y² + 2xy+ + 3y³ Select one: O a. fræ = ...

A: Given query is to find the indicated partial derivatives.

Q: Identify what law(s) are being used in each step: (p ^ q) → (p V q) (p A q) → (p V q) =T = - (pA q) ...

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Q: Write a chain rule formula for the following derivative. for w = f(p, q); p = g(x, y), q = h(x, y) O...

A: We have to find the derivative

Q: dx (V32 + 4)3

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Q: Correct Suppose that y varies directly as the square root fx, and that y = 42 when x = 400. What is ...

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Q: Find the derivative of the trigonometric function. cot(x) f(x) sin(x) f'(x) = Need Help? Read It Wat...

A: Given that       f(x) = cot(x)/sin(x) 

Q: The indicated function y, (x) is a solution of the given differential equation. Use reduction of ord...

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here we ...

Q: In the 2000 U.S. Census, a small city had a population of 45,000. By 2010, the population had reache...

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Q: nd the derivative of the function. (6 – x)5/4' x4/5 y = In

A: We will find the derivative. 

Q: Direction: solve and analyze each of the following problem in neat and orderly manner. Do this in yo...

A: 7). Given: D4-81y=0 So, The auxiliary equation is: m4-81=0

Q: Find the arc length of the curve on the given interval. (Round your answer to three decimal places.)...

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Q: (a) Use the definition of the derivative to find the slope of the tangent line to the graph of the f...

A: Given; fx=65x & Px0,y0=3,25 As we know that; The slope of the tangent line to the given curve is...

Q: (4) At noon, ship A is 130 km west of ship B. Ship A is sailing east at 30 km/h and ship B is sailin...

A: Here we will find the distance between ships and rate of change of distance between two ships,  

Q: Use the Chain Rule to find dw for w = dt xe7,x = t2,y =1- t,z = 1+ 2t.

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Q: Considering only the values of 0 for which csc 0(1+ cos 0)(1 – cos 0) is defined, which of the follo...

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Q: 2. Letgx-15x+2,-2,x+2, x0. Does the limx - Og(x) exist? If yes, give its value. If not, why?

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Q: Direction: solve and analyze each of the following problem in neat and orderly manner. Do this in yo...

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Q: Direction: Read then solve the question carefully. Click the letter of the correct answer. Find the ...

A: Given:- Find the equation of the normal line of the function y = 1/(x - 1) at x = 3

Q: 3. Integration by parts: 3x d x (V3 2x+4

A: To find out the integration.

Q: Express the vector as a product of its length and direction. 6j - 8k 100- 10(j - k) 3 10 j O 10(6j -...

A: We have to find out the vector

Q: 1. Find the point on the graph of f(x) = x -8x – 5 where the tan gent line is horizontal. (SLOPE = 0...

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Q: dy Find for the following function. dx 5 cos x y = 1+ sin x %3D dy %3D dx

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Q: Let f (z) = z+3 . We will use the definition of derivative to find the derivative of f (x). (1) What...

A: As per guidelines we can solve only three subparts at a time, So the first three subparts can be ans...

Q: 4. An analyst has found that Granny's Surf Board Company monthly profit function is: P(x)=-0.05x2 +5...

A: Solution: P(x)=-0.05x2+50x-2000

Q: 3) Find the area and circumference of each circle. Round the answer to two decimal places. ( use n=3...

A: Given problem:-

Q: xy' + y = x³y³ Inx

A: This question is related to differential equations, we will solve it using given information. 

Q: raph the following functio and show domains and range

A: Range will be all real number  And domain will be all point except where it is not defined. 

Q: I want answer for C onl

A: Given, z5=1

Q: Determine the critical points of f(x) = x^2+8x+ 10 and apply the Second Derivative Test to find the ...

A: Critical points are points where the function is defined and its derivative is zero or undefinedGive...

Q: Find an upper bound on the error that can result if cos(x) is approximated by 1 – (x2/2!) + (x*/4!) ...

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Q: Find two numbers whose sum is -9 and whose difference is 1. Your answer is: The largest of the two n...

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Q: 3. A circular pool with a radius of 6 feet has a border with a width of 1 foot. a. ) What is the are...

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Q: Parabolas with axis parallel to the x-axis. Ans. y'y"-3(y")=0

A: To find:- Differential Equation of parabolas with axis parallel to x axis

Q: A company produces a special new type of TV. The company has fixed costs of $494,000, and it costs $...

A: NOTE: Refresh your page if you can't see any equations. . here fixed cost is $494000 and the variabl...

Q: QUESTION: A lamina occupies the part of the rectangle 0 < x < 1,0 < y < 7 and the density at each po...

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Q: 8. A company is increasing production of oven mitts at the rate of 4 per day. All oven mitts that ar...

A: Revenue function , R (x) = x P(x) Where P is the demand function  and x is the  price per unit.

Q: ') Given y= -2x² –16x, find the absolute min imum and the absolute max i in the interval[-1, 4]

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: Find f(3,4) for f (x, y) = ln(x + Vx² + y²).

A: We have to find out the derivative

Q: You start driving away from Morgantown at 12:00. Your distance away t hours after you left is given ...

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Q: QUESTION 5 Differentiate a) (x2+1)ln(x+1) b)) 3 x3e3x

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Q: gien oferdone (D- JI) (D +3I); the to the grven finctions e-3%

A: (D-2I)(D+3I)=D2+3D-2D-6I=D2+D-6I Apply the operator on e2x (D2+D-6)e2x=D2(e2x)+D(e2x)-6e2x=D(2e2x)+2...

Q: Consider the following. cos(x) + Vỹ = 3 (a) Find y' by implicit differentiation. y'= (b) Solve the e...

A: We have to find y' by different method as p[er given in question.

Q: 4x2-1 4. S( 9xe*) dx (6х-8х3

A: I am attaching image so that you understand each and every step.

Q: t cosh t dt

A: Given 

Q: 6) This year, the student council president has decided to raise funds for the school prom by sellin...

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