y fx) 4 3 21 -5-4-3-2-1 x- 1 2 3 4 5 -2 On what interval(s) is fincreasing? How about decreasing? 1.

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A: Given differential equation is ,                                   xy" - y' + 4x3y = 0 (.)  If  y =…

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A: Given that  f(x)=1/(x-3) To find the roots of the equation by using false position method

Q: (1) Find and classify the extremes value of f(x)=6x* – 4x° over the interval [-2,2].

A:

Q: Find f. - Vi- () -- 8. f'(x) = 9 %3D V1-x2 f(x)

A:

Q: Which value of c satisfies the conclusion of the MVT for the function f(x) = -6x²-3x - 2 on the…

A: Solution-

Q: (1) Find and classify the extremes value of f(x)=6x* – 4x° over the interval [-2, 2].

A:

Q: 4. If f(x)dx = (x + 1)ln(|æ|) + C, what is f(x)? (To write absolute value, write abs(x). Do not…

A:

Q: The limit as x goes to zero of x-1 exists.   True or False?

A: We need to say whether the given statement, “The limit as x goes to zero of x-1 exists.” is true or…

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A:

Q: *The interval [a, b] for a function x^3 - 4 x- - ...... 9 = 0 is [2,3] O [0, 2] O [0, 1] O [1, 2] O

A: We need to find the interval for a function f(x)=x3-4x-9=0

Q: es for which the points P(x, y) are on the g y <0 2- -2 -1 -2 3+ Write your answer in interval…

A: Topic:- function

Q: 4х+7 (ii) If f(x)={ 1<x<2 determine whether the function f(x) is continuous 14x² -1 2<x<4 throughout…

A: Continuity of the function

Q: Find the intervals on which ƒ is increasing and the intervals on which it is decreasing. ƒ(x) = x3 +…

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Q: Use the Trapezoidal Rule with n-6 to approximate. f(x)=sim2x.a=0,b=π

A:

Q: Determine the interval(s) for which f (x) = - 2x² is concave down. 12 %3D

A: For the curve y=f(x) to be concave downward,  f"(x) &lt; 0.

Q: Find the point on the curve q(x)=x2+6 that is closest to the point (−18,6). Enter your answer as an…

A: Given

Q: What is the minimum number of times you would expect f(x) 6 in the interval (0, 40? %3D

A: from the given table we cansay (As f(x) in continuoun everywhere)∃ x1∈ (0,10) such that,…

Q: 9. The interval for function (6-x)/4< (3x-4)/2 is

A: Find your answer below

Q: 4. Why is f'(x) approximated well by the difference quotient when Ax is very small?

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Q: What is the average rate of change of the functin g(x) = 2x^2 -9 on the interval [4,7]

A: g(x)=2x2-9 on the interval [4,7]

Q: 2) Find FCO), if it exits Punctien f(z) - 2 if x raticnal if x irraticnal

A:

Q: 4. Determine the number of zeros of the function f(2) = 224 – 2iz³ + 2² + 2iz – 1 in the upper…

A: The complete solution is in given below

Q: 7. True or False The cube root function is odd and is decreasing on the interval (-x, o).

A: True or False The cube root function is odd and is decreasing on the interval (-∞, ∞).

Q: A recent study showed that 90% of all people have a commute time to work of 15 minutes or more. The…

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Q: csec²x +secx -2=0 3cotx-3=0

A: Given: 3 cotx -3=0

Q: [4] 2. Find f'(x) using the limit definition of the derivative. Credit will not be given for any…

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Q: If a box with a square cross section is to be sent by the postal service, there are restrictions on…

A: volume of the box,V(x)=x2104-4x

Q: The interval where  f(x) = )=(√x+2) / x2 - 2x - 8 is continuous is ?

A:

Q: 2, C. Find the value for a and b such that f(x) = {ax + b, if-1 <x<3 is continuous for all (-2, if x…

A: Given that fx=2if x≥1ax+bif 1&lt;x&lt;3-2x≥3is continuous for all real numbers. The objective is to…

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing. ƒ(x) =…

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Q: The absolute max for the function f(x)=x2 – 2x+1 on the interval [-2, 3] occurs at : Select one: а.…

A: Given function is  f(x)=x^2-2x+1

Q: Find the roots of f (x) = x4 − 4x2 and sketch its graph. On which intervals is f decreasing?

A:

Q: 1. Can Rolle's Theorem be applied to y = (x – 2)5 on the interval [0, 4]? Justify.

A: we will see how to proceed

Q: Find the largest open interval where the function is changing requested. as 9) Increasing y = (x2 –…

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Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing. ƒ(x) = x4 -…

A: Increasing and decreasing functions: f(x)=x4-4x3+4x2 Increasing function Let y=f(x) be a…

Q: 3. Find the interval fconvergence of the Sevies : 1-3(x-4) + 9 x-4)-..

A:

Q: csec?x +secX -2=0

A: Given equation sec2x+secx−2=0

Q: On which interval is f(x) = x³ – 12x + 12 decreasing? ㅇ (-8;2) ㅇ (-8, +8) | O (-2,+0) O (-2, 2) O…

A:

Q: Find all points of discontinuity. g(x) = | x +3, if x>2 !! 8x, if x<2

A: Consider the provided function, g(x)=x2+3,   if x&gt;28x,        if x&lt;2 Find all the points of…

Q: 1. Can Rolle's Theorem be applied to y = (x – 2)3 on the interval [0, 4]? Justify.

A: Check differentiability at x=2

Q: 8. Suppose that 2+ V4 - x2 -2 2 If F(0) = 2, find the maximum value of F(x).

A:

Q: n 2sin(x)=1, on the interval 10, 2π], what is the value of x?

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Q: If the line y = 2 is the horizontal asymptote of the curve y = f(x), then /(2) is undefined. Select…

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Q: Use the Midpoint Rule to approximate 3.5 - 0.5 with n 4.

A:

Q: What is the point on the curve r(x)=x^2+6 that is closest to the point (3,6)? Enter your answer as…

A:

Q: Identify the removable discontinuity. f(x) =  x3 + 2x2  over  x + 2

A: Given query is to find identify the removable discontinuity.

Q: The demand for face masks is given by p =-3 In(x) + 10 with domain [1, 28] where x is the number of…

A: Given: The demand for face masks is given by, p=-3 lnx+10, with domain 1, 28 where x is the number…

Q: interval

A: We have to find the increasing interval according to the given function

Q: If f:[0, 3] → R is continuous, must its range be a closed interval?

A: If f:[0, 3] → R is continuous, must its range be a closed interval