:From the Following table , find Bo , ß1 & show variables ( x ) & ( y ) , and explain this equatic ulate the error if ( X=5)

Q: . 25x² - 60x +36 .a²b² - 4 w4 - 49v²

A: Given query is to find the factors of the expression.

Q: Patricia derived the following incorrect formula by misapplying the Product Rule: a?y²) = x²(2y) +…

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Q: what if y(0) = 6 instead?

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Q: (w+6)^2=30 w=

A: Solve the given equation for ‘w’. This equation can be simplified to form a quadratic equation.

Q: 1/3y-9=1/10y

A: Here given as 13y-9=110y Here y is not equal to 0 and 3.

Q: Given w (u) = 13 + 6u² and g(u) Enter the expression in simplest form. (wg)(u) = = 6u - 13, find…

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Q: Find two First terms whose product is 3x. 3x? – 13xy + 4y² = (3x ?y)(x ?y)

A: Given that, 3x2-13xy+4y2=3x    ?yx   ?y

Q: (x+ 2)? + (y- 4)² = 49

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Q: Evaluate X dp- (х -1)(2х -1)

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Q: -8y-9(2y²)°(4y¬8)-2

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Q: Write y=2(0.5x-6)(6-24x) in the form y=k(x-r)(x-s) and give the values of k,r,s.

A: We have to factor out 0.5 and -24

Q: 2 3 Sźcsc(ln[5x²])cot(In[5x²])/csc(In[5x²]) + 5dx

A: To evaluate the following integral. ∫27x cscln5x2 cotln5x2 cscln5x2+53 dx

Q: Find å · b for å = (-2, ) and b = (-5, 12).

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Q: Evaluate. [ 10.xªtan (2x³ + 3) dx

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Q: Calculate the risk of fire if the probability of a release is 2.13 x 106 per year. The probability…

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Q: xdx = ? (ах + b)(сх + d)

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Q: 2. X y y A x+ abcxy +y2 abx2+ xy+ bcy² (c) © x2+bxy+y2 D ax2+ bxy + cy2 5/7

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Q: (4x³y-$z+)(-2x-3 y7 z?) =D

A:

Q: If C = z - 9z2 and D = -x +3, find an expression that equals 3C – D in standard form.

A: Given: C=x-9x2, D=-x+3

Q: Simplify V(5/2)=(4/3)(pi)(r)^3 and V(4r)=(4/3)(pi)(r)^3

A: We need to find the volume of a sphere with (A) radius = 5/2 units and (B) radius = 4r units.We know…

Q: There are x tons of sand in a pile initially. Then of the sand in the pile is removed from the pile…

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Q: Differentiate y = (9x - 1)³. y = 8/9x - 9+

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Q: Rewrite the following in the form y=a(x-h)^2+k   Y=x^2+7x+10

A: Rewrite the equation in the form of y= a(x-h)2+k.

Q: If "y" varies directly with "x," and y = 6 when x = -7, what is "y" when x = 4? %3D Enter the number…

A: The objective of the question is determine the value of "y "at given condition.

Q: X = A 9 F 2 d puly

A:

Minimization

In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in terms of global or local range. The definition of minimization in the thesaurus is the process of reducing something to a small amount, value, or position. Minimization (noun) is an instance of belittling or disparagement.

Maxima and Minima

The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.

Derivatives

A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which one would be easier? Walking on the road would be much easier than climbing a mountain.  

Concavity

In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the first derivative test and second derivative test to understand the concave behavior of the function.