Determine a value for m so that h (x) = -1/3 x^3 + nx^2 + 8x – 15 has an inflection point at  x = – 2.

Q: D. Differentiate the following. a. f(x) = 4x³ – 5x² + x + 8 b. g(x) = x" -* -*+* + vZ c. h(x) = v9x°…

A: (a) To find: The derivative of fx=4x5-5x3+x+8. Formula used: Power rule of derivative: xn'=n·xn-1…

Q: Find all x-intercepts for the function f (x) = 4ª-1 – 2º+1 – 12.

A: To Determine: Find all x-intercept for the function f(x)=4x-1-2x+1-12 Given: we have a function…

Q: Show that f(x)=x5-x3-1 has a zero between 1 and 2.

A:

Q: Let t(x) = 2x - 1 and m(x) = x² - X. Find m(t(x)) Be sure to simplify your answer. Use the fx button…

A: Given, t(x) = 2x-1, and m(x) = x2-x m(t(x)) = m(2x-1)

Q: Allow T2(x) be the 2nd degree Tylor polynomial for the following function: f(x)=2+x*e^(5x) which is…

A:

Q: 8. Explain why the power rule cannot be used to differenti- ate the function (2 – x) 1/3.

A: To explain: The reason that the power rule cannot used to differentiate the function 2-x13. Concept…

Q: Find the roots of the function f(x)=(2x-1)(x2+2x-3) with x belong to R

A: f(x)=(2x-1)(x2+2x-3)=0 We have find all the real numbers that make f(x)=0 because it is given that x…

Q: The domain of the function f(x)=√12+4x−x^2 is the closed interval [A,B] where A= and B=

A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: Find the linearisation of f(x) = 4√x at a = 16. Use this to estimate 4√ 15

A:

Q: Q2/ A: Use Lagrange Interpolation Polynomials' to determine the relationship between the velocity of…

A: Sol. Let time(s)=x  And velocity (m/s)=y=f(x).  And to find x at y=100 x 10 20 60 y 20 120 400…

Q: f(x) = (x – 3)^2 (3x – 1) Identify the maximum number of turning points.

A: The given function is  f(x)=x-323x-1  We have to identify the maximum number of turning points.

Q: Find Absolute Max and Min: f(x) = x2 – 2x On [0, 1] Ab. Max = when x= Ab. Min = when x=

A: For the given  f(x) = x2-2x3 at [0,1] Absolute maxima and absolute minima is calculated as shown…

Q: 8. Describe the domain for h(x) = √70-9x - x²

A: To describe the domain for .

Q: What is the domain of the radical function f(x)=√2x²-5x-12? D: (-∞0, ∞0) D: [-1.5, 4] D: [-1.5, ⁰⁰)…

A: The function is given byTo determine: The domain of the the function.Domain Restrictions for Square…

Q: Find the zeros of the polynomials f (x)=x'-5x² – 2x + 24, If it is given that the product of its two…

A: *to find:- roots of the given equation.

Q: The windchill index announced during the winter by the weather bureau measures how cold it "feels"…

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Q: Make the composition (f o g) (x) with the function f (x) = x ^ 2 + 2 -2 and g (x) = √x

A: