Answer:
area of square=l²
25sq.cm²=l²
l=5sq.cm
area of trapezium =(1/2)(a+b)h
a=5,b=(12+5)=17,h=5
area of trapezium=(1/2)(22)(5)
area=55cm²
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<span>a) Intervals of increase is where the derivative is positive
b) </span> <span>Intervals of decrease is where the derivative is negative. </span>
c) <span>Inflection points of the function are where the graph changes concavity that is the point where the second derivative is zero </span>
<span>d)
Concave up- Second derivative positive </span>
<span>Concave down- second derivative negative </span>
f(x) = 4x^4 − 32x^3 + 89x^2 − 95x + 31
<span>f '(x) = 16x^3 - 96x^2 + 178x - 95 </span>
<span>f "(x) = 48x^2 - 192x + 178 </span>
<span>By rational root theorem the f '(x) has one rational root and factors to: </span>
<span>f '(x) = (2x - 5)*(8x^2 - 28x + 19) </span>
<span>Using the quadratic formula to find it's two irrational real roots. </span>
<span>The f "(x) = 48x^2 - 192x + 178 only has irrational real roots, use quadratic formula which will be the inflection points as well.</span>
10% turned into a decimal is .1 because to turn a percent into a decimal you need to move the decimal 2 places to the left. Now that you know that you take 110*.1=11.
Enjoy!=)
The point in <em>rectangular</em> form (x, y) = (-4, -6) means that a point is located 4 units to the left of the origin and 6 units below the origin. A representation is shown below.
<h3>How to located a point in a Cartesian plane</h3>
By <em>Euclidean</em> geometry we know that a plane is generated by two <em>non-co-linear</em> lines. <em>Cartesian</em> planes are generated by two <em>orthogonal</em> lines (axes x, y), whose interception is known as origin. The point in <em>rectangular</em> form (x, y) = (-4, -6) means that a point is located 4 units to the left of the origin and 6 units below the origin.
Finally, we proceed to present the location of the given point with the help of a graphing resource.
To learn more on Cartesian planes: brainly.com/question/13266753
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