Consider the function f(x) x² - 8x + 15 x + 5 a. Find the first derivative. f'(x) b. List any critical values. c. Identify intervals of increase. d. Identify intervals of decrease. =

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A: Given two equations f( y ) = 1 - y2q( y ) = y2 - yshaded area varies from y = -1 to y = 1

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A: As per Berleby Guideline I have to solve only first question. So answer to other resubmit the…

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Q: mentary Problems nd the area bounded by the parabolas y = 6x-x² and y = x²-2 #/3 sq. units

A: Topic:- application of integration

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A: limx→4+(1x-4-1lnx-3)=limx→4+(lnx-3-(x-4))(x-4)(lnx-3)

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A: We have to find the term Sk and Sk+1.

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A: a) f(x)>0: f(x)>0 means the function lies above the x-axis. From x=-1 to x=2, the function is…

Q: 4. Use the limit definition to find the instantaneous rate of change of f(x) = 2x² + 3x.

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Q: 3. Consider the series -2 + 4/3 16 27 a. Write the series in summation notati - 28-9 +

A: Please refer to the image below

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A: The solution for the minimum and maximum value of Z is as follows.

Q: Question 7 Textbook T The smaller one is Videos [+] Consider the function f(x) = 2x³6x²90x +9 on…

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A: Since you have posted multiple subpart question as per guidelines we can solve only first three…

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A: Given curve:- y=9-x2 Let point h,k on parabola near to point 7,14

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Q: Find the area of the shaded region. Enter your answer as a reduced fraction.

A: Area = ∫abupper curve -lower curvedxwhere a and b is the intersection points on x-axis.

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Q: (12x² − 8x+5) dx = -

A: To evaluate the following integral.∫12x2-8x+5 dx

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A: Given query is to find the statment is true or false.

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A: A highway whose primary directions are north-south is being constructed along the coast. Near a…