At which integer value of x are the functions y + 12 and y = A closest to being equal?

Q: If a and b are positive numbers, find the maximum value of f(x)= xa(9 − x)b on the interval 0 ≤ x ≤…

A: To find the maximum value of f(x)

Q: On which interval(s) is the function f(x)=(12/5)x5-3x4-8x3+5 increasing?

A: Given function is,

Q: Let H (x) = f (x)h(x). What is the value of H'(4)?

A:

Q: Let h(x) = V4+ 3f(x) with f(1) = 7 and f'(1) = 4. Find the value of h'(1).

A:

Q: For what value of x does the function f(x) x' – 4x attain the point of inflection - in the interval…

A: We have to find the value

Q: Calculate R3 and L3 for f(x) = x² – 2x + 7 over [1,4]. (Give your answers as whole or exact…

A: Solution

Q: Find the interval(s) where f(x) = 2x° – 15x? + 36x – 27 is increasing. -

A: The given function is fx=2x3-15x2+36x-27. The main objective is to find the intervals where the…

Q: If a and b are positive numbers, find the maximum value of f(x) = xa(5 − x)b on the interval 0 ≤ x ≤…

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Q: Find g(-T" 1+h -)-2 for h<<r r

A:

Q: Find the root of x+1/x=3 where x is not equals to 0

A: The roots of given equation are obtained below.

Q: At what number is g differentiable? 2x if xs0 g(x) ={ 2x–x² if 0<x<2 2 - x if x22

A:

Q: Find f'(0) for f(x) x = 0. 0,

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Q: For which values of c does f (x) = x2 + cx + 1 have a double root? No real roots?

A:

Q: Find all x € R that satisfy the equation |x + 1| + |x – 2| = 7.

A:

Q: f (1), where f (x) = 21 + x2

A: Given function - f(x) = x2+21         ...........(1)f-11 = ?First we need to find the inverse…

Q: Use the intermediate value theorem to show that the equation x + 2x + 1 = 0 has a solution in the…

A:

Q: Find the value of a, b, c and d if f(x) is differentiable (asinx – bcosx + x f(x) = x2 + 3 4 > x > 0…

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Q: Solve f(x) > 0, where f(x) = (x – 1) (x + 3).

A: Function, f(x)&gt;0, implies the value of the function lies to the right of the origin in cartesian…

Q: If a and b are positive numbers, find the maximum value of f(x) = x(8 – x)º on the interval 0 < x <…

A: Given: f(x)=xa(8−x)b To find the maximum value find all the critical points. Critical points are…

Q: Let f(æ) = - 7(x + 3)(x – 9). Solve: (a) f(x) > 0 (b) f(x) < 0

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Q: Let f(x) = x³ - 3x +1, which of the following equations is NOT assured to have a solution in the…

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Q: Find the roots of the function f(x) = (2x − 1) · (x 2 + 2x − 3) with x ∈ R.

A: Here we have to find the roots of the given equation  f(x) = (2x − 1) · (x2 + 2x − 3) with x ∈ R Now…

Q: Verify that the function y = c1e (-k+2t)x + c2e (-k-2t)x is a solution to y " + 2ky'+ (k 2 + 4)y =…

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Q: Subtract f(x). f(x + h) – f(x) = (4x² + 8xh + 4h² + 3x + 3h – 2) – (4x² + 3x – 2) = 4x2 - x² + 3x -…

A: We can simplify the following expression : f(x+h)-f(x) = 4x2+8xh+4h2+3x+3h-2 - 4x2+3x-2

Q: A) is f(4) positive? b) for which values of x is f(x) = 0 c)for which values of x is  f(x)&lt;0?

A:

Q: Show that the function f(x)= x^3 − 15x + 1 has three zeros in the interval [−4, 4]. Do not solve for…

A: The given function is f(x)=x3−15x+1The interval is [−4, 4].To show that f(x) has three zeros in this…

Q: Give the formula for f(n) (x) where f(x)= 1/(3x-1)

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Q: (b) f(x), where f(x) = (2x +1 x 1 Evaluate

A: We have to find the value of the integration between the limit 2 to 5.The function is piecewise…

Q: For the function 3, ²8a+21, 2x f(x) = 7, 0 < x < 4 x = 4 4 <a

A:

Q: Express f(x) in the form a(x − h)2 + k. f(x) = −4x2 + 24x − 17   f(x)=?

A: Given: f(x) = −4x2 + 24x − 17…

Q: the interval in which the root exists for the function f(x) = x² – 16=0 - is Оа. [3,5] O b. [0,2] O…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: If a and b are positive numbers, find the maximum value of f(x) = x²(6 – x)5 on the interval 0s xs…

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Q: Calculate R5, M5, and L5 for f (x) = (x2 + 1)−1 on the interval [0, 1].

A:

Q: Which value, to the nearest tenth, is the smallest solution of f(x) = g(x) if Ax) = In(x+ 5) - 1 and…

A: Given : f(x) = ln(x + 5) - 1 and g(x) = x3 - 2x + 1     To find the smallest solution of f(x) =…

Q: Calculate R3 and L3 for f(x) = x² 5x + 3 over [1,4]. (Give your answers as whole or exact numbers.)…

A:

Q: Calculate R3 and L3 for f(x) = x² – 7x + 7 over [1,4]. (Give your answers as whole or exact…

A: see 2nd step.

Q: Calculate R3 and L3 for f(x) = x² – 4x + 8 over [1,4]. %D (Give your answers as whole or exact…

A:

Q: s given by: (A(x² – 2x + 2) f(x) = ЗА 3 <x< 4 otherwise ere A is a constant

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Find the values of c and d that make the function 6x if x 2 continuous. с — d =

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Q: Calculate the derivative of the following functions

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Q: Solve the DE f'(x) = 5x given that f(0) = 3. %3D

A: The objective of the question is solve the  DE with help of given conditions.

Q: Find the area of a triangle bounded by the x-axis, the line f(x) = 12 – 1 / 3 x, and the line…

A: Given:

Q: Solve f(12) for f(x) = x+ 13 %3D f(12) = [ ?] %3D

A:

Q: With f(x) = 3x +1 and h(x) = 2x – 4, find (f o h)(5)

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Q: For what value of x does the function f(x) =x³ – 4x attain the point of inflection in the…

A:

Q: Find the roots of the function f(æ) = (2" – 1) · (x² + 2x – 3) with x € R.

A: To find→Roots of f(x)=(2x−1)⋅(x2+2x−3),x∈ℝ.Solution→Solving…

Q: For what value of x does the function f(x) =x 4x attain the absolute maximum %3D in the interval…

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Q: Find the x-intercept(s) of the function (*)--+5x-6. O 2 and 3 O 6 and 1 O -1 and 6. O 5/2 and 3

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Q: Find the value of x if the matnx 1 5] 4 is Singular 2. A = -3 6. 2

A: