Let x + y = 28. Find y"(x) at the point (3, 1). "(3) =

Q: Calculate y" and y'''. y = 4t 3 - 9t 2 + 7

A: Given that  y = 4t3 - 9t2 + 7 We have to calculate y'' and y'''. First we find y'. y' = ddty     =…

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Q: f(x) = x³ + 3.x² – 2.x – 8, at the point (a) Find an where equation for the line tangent to = 1.

A: Given: The equation of curve fx=x3+3x2-2x-8 and the x-coordinate of point  is x=1, To find: The…

Q: y=8x-x³ 12) Where is the function concave down?

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Q: A rectangular park has an area of 40m^{2} . If the length of the park is two meters less than three…

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Q: The path of flight (trajectory) of a football thrown by a quarterback is described by the +0) ². x²…

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Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x + 3r² – 6x – 4 at x = -3.

A: f(x)=4x3+3x2-6x-4 at x=3,

Q: Find the distance from the point P(2,1) to the line y = x + 2 *

A: Given point is P(2,1) and the line is given as y=x+2 1x-1y+2=0 The formula to find the distance…

Q: A3) Find the equation of the line tangent to the graph of f(x) = 5x+7x ---.

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Q: Find y" from x =t +7, y = 6t -1

A: Answer and explanation is given below

Q: dy Ex2: find for the following functions: dx a) y = (x² + 1)5 b) y = [(5-x)(4- 2x)]? c) y = (2x3 –…

A: According to guidelines we should have been able to solve only three subpart of the question

Q: Q1- Find the maximum vate of change of Rexy) t -ツ fcxy) = Xe fCxg) = Xe at the point (e,o) %3D

A: Given problem:- Find the maximum rate of Change f(x, y) = xe-y at point (2,0)

Q: Find ƒx and ƒy when ƒ(x, y) = y8 + 2x6 + 2xy.

A: Given f(x,y)=y8+2x6+2xy For finding fx differentiate f(x,y) with respect to x fy differentiate…

Q: Find the equation of the line tangent to the graph of fat (1, 2), where fis given by f(x) = 4x³ -…

A: Application of derivative

Q: A3) Find the equation of the line tangent to the graph of f(x) = 6x3 + 5x2 – 5x – 4 at z = -4. %3D

A: Firstly, we will differentiate f(x) and put x=-4 to find the slope of the equation then we will find…

Q: y = x³log3x , find y'

A: We need to evaluate the derivative of the following function y = x3log3x

Q: 20. Find all the intercepts of y = 4x (1 - x²) A) (- 1, 1) B) (±1,0) and (0, 0) C) (0,0) D) (0,0 )…

A: We can determine all the intercepts as below

Q: Let c be a fixed constant. Explain the relationship betweenthe graphs of: y = f (x + c) and y = f…

A: To explain: The relation between the graphs of y=fx+c and y=fx in rectangular coordinates. Concept…

Q: 3. y=x²-25x² + 2x

A: To find the second order and third order derivatives of given function

Q: y ²x ²dy + 4xydx = 0

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Q: A3) Find the equation of the line tangent to the graph of f(x) = 5x3 + 8x² – 2x – 3 at x = -7.

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

A: We know  when f'>0 then function increasing when f'<0 then function decreasing when f''>0…

Q: Find y in terms of x. dy dx 12x(3x 2 - 1)3, curve passes through (1, -3) A y= (3x 2.1) 4 B y = (3x 2…

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Q: Find y" from the function: y = x² – 2xy + 3y? = 4 %3D -

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Q: Q: (2x+y)(x+y) ах Find -?

A: Given query is to find indicated partial derivative.