f an=3 and an+1= 1/(5-an)  How can you tell if it's monotonic?

Q: f(x) = x^2/3 show that there is no number c in interval (-1,8) that satisfies f’(c)=…

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Q: On which the interval the function is increasing?

A: Given,          The graph of the function is shown below :

Q: The base x of the right triangle in the figure increases at a rate of 3 cm/s, while the height…

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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: If f(x)= 8-cosh x/6+cosh x then f'(x)=

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Q: Solve using either Roll's Theorem or Mean Value Theorem:

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Q: in a refining tower is f(x) = x4 - 4x3 + 119 degrees Fahrenheit after x hours (for 0 n diagram for…

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Q: (b). Show whether (*) is continuous at *=-2, if (3x-2 for x = -2 S(x)=. x? - 4 х- 2 for x * -2

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Q: The range of f(x) 3 (2х — 1)(1 — 3х) + 4x2 is О 44/9, со) О -со, 35/9] О 23/5, со) О 17/3, со) О -о,…

A: Given  fx=2x-11-3x+4x2 Here we have to find the range

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: At 9:13AM a car is traveling at 35 miles per hour. Two minutes later, the car is traveling at 85…

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Q: కషిద్టి చవీ / tangent s lope rosin (20) when Jot 5 2) 653 3. not of the above

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Q: Usin IVT how do you show this equation has a root. On the interval (0,2)

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Q: Find the root between [-1,0] where \( f(x)=(x+2)^3+2x-5 \) with error \( \epsilon=0.1\) by using…

A: given equation is fx=x+23+2x-5interval -1,0find the root of an equation by using false position…

Q: Securt/tamun Solve for x.

A: Secant Tangent Theorem A tangent segment and a secant segment are drawn to a circle from an exterior…

Q: Suppose f''(x) = -(sin(x)), f'(0)=6 and f(0)= -1 Find f(π/2) =?

A: Given query is to find the value of the function at indicated point.

Q: B. %23 Explain how you can prove that LA LC.

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Q: A state patrol officer saw a car start from rest at a highway​ on-ramp. She radioed ahead to another…

A: Mean value theorem states that:If f(x) is continuous on the closed interval [a,b] and differentiable…

Q: 2) 2. 5メ4. +IntaltG 니

A: Please see the answer below.

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

A: we have to tell whether the given statement is True or False

Q: s discontinuous at a = -3, determine whether

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Q: how that: (f)=X*(-f) x(t) is even, then b₁=0, an= To

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Q: in of (fo f)(x). (Enter your answer using

A: We have to find the following conditions according to the given information

Q: 400 inch-lbs of work is required to stretch a spring from its rest length to 10 inches beyond its…

A: Given:- 400 inch-lbs of work is required to stretch a spring from its rest length to 10 inches…

Q: A roasted turkey is taken from an oven when its temperature has reached 185 Fahrenheit and is placed…

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Q: Suppose that f(x) = 17ex - exe Find f'(3)= ?

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Q: Compute for the possible root of the function f(x) = x4 - x³ - x? - 4 in the interval [-2, -1]. Use…

A: The equation in the form f(x)=0 is called a transcendental equation. If the function is continuous…

Q: . Find the product of approximate numbers x, = 2.35 and x, = 20.3546 all of whose digits are valid.…

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Q: The derivative of f(x) = ax² will be greater than that of f(x) = ax, for a domain of (0,1), where…

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Q: Find the root between [-1,0] where f (x) = (x+2)³ +2x – 5 with error epsilon=0.1 by using False…

A: The false position method is one of the methods used to find the approximate root of a function in a…

Q: Show that x + is increasing on [1, 0).

A:

Q: How can we use the general definition to prove the theorems?

A: Query- How can we use the general definition to prove the theorems. Answer- A theorem is a statement…

Q: A roasted turkey is taken from an oven when its temperature has reached 185 Fahrenheit and is placed…

A: a) Newton's Law of Cooling Tt=Ts+T0-Tse-kt          ............1wheret= time taken for…

Q: Solve for x if Arctan ( 1 – x ) + Arctan ( 1 + x ) = Arctan ( 1/8 ).

A: Given: arctan(1-x)+arctan(1+x)=arctan(18) We have to solve for x

Q: tan x – 4 - If f(x) = sec x f' (x) = f'(1) =

A: We will use relationship between different trigonometric function to solve this.

Q: What is it -∇f (a,b) ?

A: Topic:- vector algebra

Q: In a class in which the final course grade depends entirely on the average of four equally weighted…

A: GivenTest 1=76100           Test 3=86100Test 2=79100            Test 4=x100Find x , such that…

Q: 27. f(x) = In (1+x) %3D

A: The given function is f(X)=ln(1+x)

Q: Show that x+1/x is increasing on [1,∞]

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Q: How do I solve the limit as x goes to -1 for the expression (sin(3x-3))/(1-x) without using…

A: The given limit is,

Q: How do we know -5 is the absolute min here? Is it because we are decreasing from -infinity until we…

A: Here we will find out maximum and minimum value of f(X).

Q: Use Residue theorem to evaluate dx -- x2- 8x + 17 00

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Q: A roasted turkey is taken from an oven when its temperature has reached 185 fahrenheit and is placed…

A: Given that a roasted turkey with temperature 185F in oven has placed on a table where the…

Q: True or False The cube function is odd and is increasing on the interval (-∞,∞)

A: Explanation:' The cube function is f(x)=x3 An odd function is the function that satisfy this…

Q: Find an equation of the tangent line to f at a = 9. (Express numbers in exact form. Use symbolic…

A: Topic:- limits and application of derivatives

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

A: Given query is to find the value of x.

Q: Please find f'(2) if f(x)=tan(5x). Show steps

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Q: Derive a formula for the absolute error of a quotient X2

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Q: ne integral. 11 3 √x + 5dx = Please enter your answer two digits format(For xample: 3.14)]

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.