For the value of b will y=x^3 + bx^2 + cx + d have a point of inflection at x=1

Q: a particle moves along a curve y = (2x² + 5x)°, calculatey (0) and what is the interpretation of the…

A: Let us considre the function y=f(x) The derivative the function is denoted as dydx=f'(x) Derivative…

Q: Find: that: fl4) = -8 f'(4)= -8 %3D glx)=r

A: Given: g(x)=x f(x)f(4)=-8f'(4)=-8

Q: If x²y + 3y* = xtan(y) + 2x d²y Find the value of dx²"

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Q: 5) (x- 4)² + y² = 9 Center Radius

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Q: How is linear approximation used to approximate the value of afunction ƒ near a point at which ƒ and…

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Q: The productivity of a country is given by ​f(x,y)=14.41x0.427y0.573​, where x is the amount of…

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Q: Find fxy(x,y) if f(x,y) = (x5 +y³) 7. fxy(x,y)=

A: Concept: Partial derivatives: In differential geometry and vector calculus, the partial derivative…

Q: The line represented by 3x-4y=16 is dilated by a scale factor of 3 centered at the origin. Which…

A: The dilation is the way of transformation. Every parent figure can be dilated by a scalar factor. By…

Q: Differentiate with respect to x: * 1 y = (1– x³) 2

A: Follow the procedure given below.

Q: 7) Suppose y varies directly with x. If y=2 when x = – - what is y when 2 X--0.3?

A: Given the data :

Q: If y2 is negative, then y1 + y2 will lie _______ y1 by a distance equal to ____.

A: If y2  is negative, then y1+y2  will lie _______ y1  by a distance equal to ____.

Q: 2y+8 2xe to %3D y10)=8= , yco= 2

A: I have solved by using formulas and series expansions.

Q: Obtain the general solution using variation of parameters y''+y = (csc³x) (cotx)

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Q: (5+2y)* dy

A: (6) Given- ∫-2-35+2y4dy To find- The value of the above integral. Identity Used- Using the power…

Q: Calculate fx (1, 3) and fy (1, 3) for f (x, y) = √(7x + y^2).

A: For a function of two variables, partial derivative with respect to one variable is calculated by…

Q: Find the slope of the line tangent to the curve 5x3 + 2x5y − y2 = 2 at the point (1,3) Write your…

A: Explantion: Given that: 5x3+2x5y-y2=2 Concept: slope of line m=dydx dxndx=nxn-1 duvdx=udvdx+vdudx

Q: 9) (3x-29 +2) ex+(39-2*-2) dyzo

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Q: FM Corporation is a company that manufactures face masks. For every r thousand pieces of face mask…

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Q: f (x, y) = x+ 5y 2 +y = 25,

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Q: Differentiate the function. 2. y = (4x – 5)* (4 – x³) ² dy 13|

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Q: 3. Find the points of inflection: y = x- 2cosx

A: We have to find inflection point

Q: Use method of variation of parameters. y" +2y-8y = 2e-2x - e-x.

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Q: Find fxy(x,y) if f(x,y) = (x5+y³) 7. fxy(x,y) =

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Q: 3. Find the points of inflection: y = x-2cosx

A: Explanation of the answer is as follows

Q: GiNen Y+ 3y -22 こ4 what is the value of - - マ+ メと 2y +3z = -1 X +y tz?

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Q: Calculate fx(l, 3) and /y(l, 3) for f (x, y) =

A: Given: fx,y=7x+y2

Q: 3. FM Corporation is a company that manufactures face masks. For every a thousand pieces of face…

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Q: Evaluatef (cot2x + 2tan²x - 5) dx a. cotx + 2tanx + 4x + C b. -tanx-2cotx - 4x + C c. -cotx 2tanx -…

A: I have stated the used formulas in the solution

Q: If x²y + 3y* = xtan(y) + 2x d²y Find the value of dx²'

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Q: Find fyzy. 9,8 f(x, y) = x°y³ – 8x*y + x f yry yxY ||

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Q: OLetL)%3DXD 3X-/0 when x+2-Fénd a value ff(2)that wall !! X-2 make fis Continueus at X-2

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Q: y = v1- x+ x2 ||

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Q: e^3z analytic or not ?

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Q: 5) What is the equation of the line tangent to y = 2x³ + 3x - 1 atx=0?

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Q: Find the point of inflection of the curve x^3 – 3x^2 –x + 7.

A: For inflection point, second derivative is zero

Q: What is the equation of the line tangent to the function y = 2³+7x² + 5x - 2 at x = 0? There can be…

A: Application of differentiation

Q: Verify that 0t ду дх дх ду 2. 3 y 3 f (x, у) %3D 2х*у — х"у — ху

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Q: az Calcula y z = x4 – 2y3 O 8z 4x3 az -6y? O az 4x – 2y dz = 1* – 6y O dz = 4x3 az = 6y? O 8z 4x –…

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Q: Sel Sx(x-TR) TR 3 where TR i; Jor Reyi tation No.

A: Integration of a function f(x) is the process of finding a function F(x)=∫f(x)dx so that F'(x)=f(x).…

Q: find the length of the curve y = 2x6+1/8x2 from x is greater than or equal to 1 and less than or…

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Q: VAy 5-y-z 15z dz dz dy 2y2 2-y-

A: SOLUTION-

Q: 3. FM Corporation is a company that manufactures face masks. For every a thousand pieces of face…

A: In the given question, concept of marginal revenue is applied. Marginal Revenue The money a company…

Q: Find y' for x°y* + 2x + 2y = 128 at the point (2, – 2). At (2, – 2), y' = Preview -

A: The given equation is: x3y4+2x+2y=128...(1) To find y' at the point (2,-2).

Q: The between cuefficient of corteletion X and'y のメー ag and and の2=114 what is constant a2 where x…

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Q: Write down a solution to y' = 4(y − 5) that tends to −∞ as t →∞.

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Q: Find the distance between 2x + y + 2 = 0 and 4x + 2y − 3 = 0.

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Q: Compute Δy/ Δx for the interval [2,4] where y = 5x−7.

A: ∆y∆x for function y=f(x) for the interval [a,b] = f(b)-f(a)b-a

Q: Find if x-t³+1 and y=4t²-4t. d²y dx²

A: Solution of given question is written in below steps.

Q: Find 1- y dy y+2 using the substitutionu +5= √√y+2.

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Q: Please clarify the answr for behavior as x approaches negative infinity, sign of y if x is between…

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Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!