The function f(x) = 8x + 4x¹ has one local minimum and one local maximum. Algebraically use the derivative to answer the questions: (Leave answers in 4 decimal places when appropriate) this function has a local maximum at x = with value and a local minimum at x = with value

Q: Find the values of the other trigonometric functions given the following conditions.  a. sin theta =…

A: Find the values of the other trigonometric functions given the following conditions. a. sin theta =…

Q: f(x)=x54x

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Q: 7x 1+2x 2+1 x_3+8 x_4+9x_5 = 69 9x 2+3 x 3+4x_4+4 x 5 = 54 4x 1 + 6 x 2+5 x_4+4 x 5 = 40 2x 1 + 10 x…

A: We solve the following system of linear equations using the Gauss-Jordan Elimination Method:

Q: Y7 = Ys Y⁹ = (You can enter your answers in any order.)

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Q: -5x Let f(x) = e+e f(x) has one critical value at A = In (3) 7 Answer exact, such as

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Q: which they occur. f(x) = 4x+7; [-5,5] The absolute maximum value is at x = (Use a comma to separate…

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Q: How do I prove, |3- x/3| 9 (1 - x/3x)=-2

A: If is a function and then we say  if for any  there is  such that .

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A: Yes, the statement logb(xy)=logb ​(x)+logb ​(y) is true for any real number b>>1 and any real…

Q: Determine the derivative of the following function with respect to a: 75 +¹rsin (r) 4,

A: f(x)=π5+π4xsin⁡(x)

Q: Problem 2: Use Cramer's Rule to solve for the System of Equations by hand: -x + y = 10 5x + 4y = 2

A: By using Cramer's Rule to solve the following system of equations.

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Q: For the polynomial, determine its standard form, degree, coefficients, leading coefficient, and…

A: Given:- 5x + x4 - 3Standard Form is given by Standard form :- x4 + 5x - 3

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A: ......(1)Find the equation of the tangent line to the curve at the point

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Q: 4. Find the following limits. If the limit does not exist, write DNE and explain why. If the limit…

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Q: The graphs of f and g are given. Use them to evaluate each limit, if it exists. (If an answer does…

A: The graphs of f and g are given. Use them to evaluate each limit, if it exists.(If an answer does…

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A: As per the company's guidelines, we are supposed to answer the first question for you, Kindly repost…

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A: By using the Law of Sines  to solvethe following triangle.v

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A: Given, .

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Q: d) If k(x)=3 find the values of a and b such that k(x) is differentiable at x = 3.

A: Note:-Since Q 4 is  incomplete but part d is complete then we solve part d for you.The given…

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Q: ind the following limits. -2x³ - 6 x→∞ −5x² - 7x - 8 a. lim -2x³ - 6 x→→∞ −5x² – 7x - 8 b. lim ||

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