dy Given that y = ³ – 3a? +3x, find dy Hence show that da > 0 for all æ, and interpret this in terms of the da a graph of y = 2 3x2 + 3x. 2² + 2x dy b Given that y = for æ + 0, find da Differentiate y = (3x+1)2 with respect to æ.

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A: Please see the below picture for detailed solution.

Q: Q5 / Sketch the graph of function y = =+ 3x

A: we only solve one question at a time so please submit questions one by one.

Q: 9) Find the zeros of y = 9x? – 1.

A:

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A:

Q: 2.1 Identify and sketch the graph of y = /9 – 4x². Show all the necessary points on the curve and…

A: We can square the left-hand side and right-hand side then we get y2 = 9-4x2

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A: We are asked to sketch the graph on xyz coordinate y=2 and 3x+2y+z=6

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A:

Q: 1. Draw sketch graphs of the functions: b) y = (²) a) xy = -12 c) 2x-y=4 d)/y=x²-1 e) y = +4 = 2* -…

A: Note:- These are multiple questions with having sub parts. According to our company law we can do…

Q: 3 Find and sketch the graph of the domain of f (x, y)= 14x? +16у? - 64

A:

Q: In a regression analysis involving 30 observations, the following estimated regression equation was…

A: Solution In a regression analysis involving 30 observations, the following estimated regression…

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A:

Q: Graph the relation of equation x2/4 + y2/16 = 1 using the points calculated in the table below.…

A: Answer

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A:

Q: If-xy - 3+x=0 then find dy at the dx² point (-1, 4) in simplest form.

A: See the details solution in below

Q: b) Solve the following D.E to find y as a function of x: -3y=1-x²..

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Q: -5 -4 -2 -1 2 3

A:

Q: The graph of the function fCX)=x²+dx+q has only one X-intercept Select a valve for d that satifies…

A: For quadratic equation to be only one x-intercept , discriminant should be equal to zero.

Q: 5. Figure Q5 shows the graph y = f(x) on the xy-plane. 54 -5- Figure Q5 (a) Does the graph above…

A:

Q: 3) Give an equation for the shifted graph. Then sketch the original and shifted graphs together,…

A: Solution

Q: Find the distance between (1, 1) and (3√3) along the graph of y2=x3

A: ANSWER :

Q: Use sign charts for the first and second derivatives to graph y = 40x³ – 147x² + 180x – 73 on the…

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Q: Graph the relation of equation x2/4 + y2/16 = 1 using the points calculated in the table below.…

A: We have to graph the function x24+y216=1 by using the points in the table.

Q: The change of the energy efficiency function ( P ) of a factory with respect to uj and u2

A: In this question, we have to find the maximum value for the two-variable function. Here we use the…

Q: 8c. Graph the line y = x +3 for -8 < x < 6 and then use geometry to calculate + 3) dr.

A: Answer is 35. Solution is given below....

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A:

Q: Express the following functious by Cartesian equetion r=4 tano seca r= 4 CSCO 2 t=l+2rcosa

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Q: 3) Find the function of y = 1) Reflect about the (2) Shift up (3) Shift X-axis 8 Units left 7units

A: The given function is y=x1) Reflect about x-axis2) shift up 8 units3) shift left 7 units

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A:

Q: The point (2,-4) Is on the grauph of y= f(x) The point on the graph ot y- g(x),where gx)= 2€k) 1s?

A: That is,

Q: Graph the Ine whose x-tercept is -I and whose y-intercnpt is 1.

A: Given,           The line whose x-intercept is -1 and y-intercept is 1.We know that,           The…

Q: Consider the function y -62 Which of the following statements is true for y? = ze Oy" = 36y…

A: Given,