- Consider the function f(x) = (4x² – 16) on the interval [-7, 9]. Find the absolute extrema for the function on the given interval. Express your answer as an ordere pair (x, f(x)). (Round your answers to 3 decimal places.)

Q: antiderivative  F(x)   with  F′(x)=f(x)=3+21x^2+14x^6   and  F(1)=0  .

A: Given query is to find antiderivative.

Q: Find the horizontal and vertical asymptotes of f(x). 3x X+4 f(x) =

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Q: Use the table to find lim f(x) f(x) 13 13.9 13.99 14 14.01 14.1 15 10.8 10.99 10 11.02 11.1 lim_ƒ(¹)…

A: Note: For finding limits from the table we have to observe the limits how they are approaching in x…

Q: dv g) tan(x- y) = y 1+x² d 1/₂ (tan ex-x) = $x (1+x) dx dx Sec² (x-y). (1-dy) = dx Sec ³ (x-y) - dy…

A: Given query is to find the derivative.

Q: 0 0.6 x² -dx √9 - 25x²

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Q: Suppose f is a one-to-one, differentiable function and its inverse function f-¹ is also…

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Q: 7x-7 m 1- 1-r im |7x-71 1+ 1-x Question Help: Message instructor D Post to forum Submit Question Q…

A: We will find the required.

Q: Find All Solutions 1+ cos x = sin a on the interval [0,2π)

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Q: 1. Solve the linear inequality. Draw the graph of the solution and write the solution in interval…

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Q: It is estimated that t years from now the population of a city will be P(t) = 30(35+41)² - 1700t.…

A: We need to find the population in 5 years

Q: 21. If f(x) = 3x² – x³, find ƒ' (1) and use it to find an equation of the tangent line to the curve…

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Q: f(x)=-5x+4 g(x)=x²+x Find a) (f+g)(x)=? domain of f+g : ? b) (f•g)(x)=? domain of f•g : ?

A: We have given two functions  fx=-5x+4 gx=x2+x (a) f+gx=fx+gx f+gx=-5x+4+x2+x f+gx=x2-4x+4 Domain is…

Q: 5. Compute the following derivatives. You do not need to simplify (a) d ((1+e³x) tanx) dx (b) (√sin…

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Q: If tan 0= 0 0 0 0 0 -0.54 - 1|2 3√/13 13 2√13 13 0.18 w/so V5 √15 4/3 7√53 53 5/3 7 and 0° <0<90°,…

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Q: Let f be a continuous function on [-2, 8] such that f(-2) = ƒ(8) = 7. Which of the following is a…

A: Note :As per our guidelines we are supposed to answer Only first three subparts of a question.…

Q: Trace or copy the graph of the given function f. (Assume that the axes have equal scales.) Then use…

A: For given graph for (-∞,0) slope is positive but decreasing.   ( cancel out option 4)at x = 0, slope…

Q: 2. Solve the 3-part compound inequality. Draw the graph of the solution and write the solution in…

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Q: 6- - 10 -3 -3 4 р. Qo Ау CO X 8 10

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Q: Using the graph of f below, determine what type of discontinuity does f have at the given numbers.…

A: There are several types of discontinuities, including: Jump Discontinuity: A function has a jump…

Q: 7. For which values of x, y, z is the following matrix invertible? Explain. [1 1 X 23 y 2 Z A = .

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Q: Use the graph of the function f shown to estimate the following limits and the function value.…

A: By using the graph of the function f shown ro estimate the following limits and the function…

Q: Question 2x ¹x03x²-4 lim,

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Q: f′(1.1)=

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Q: Evaluate the sum. 34 2 (7) + 4/1²) 7j 3 j=2

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Q: Devise the exponential growth function that fits the given data, then answer the accompanying…

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Q: Use the product rule to find the derivative of the following. ply) = (y¹ + y 2) (3y3-4y-4) p'(y) =

A: Given: p(y)=y-1+y-23y-3-4y-4

Q: The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year…

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Q: Which one of the following is the general solution of 3 + 5y = 1? dz y=+cel -+ce where CER ++ where…

A: To find the general solution of given differential equation

Q: Consider the ODE: "-7y" -/+7y=0. Which one of the following is the general solution to this ODE?…

A: The given differential equation is: y'''-7y''-y'+7y=0 So, we can also write as: D3-7D2-D+7y=0   The…

Q: Use the given graph of f(x) to sketch the graph of f'. y y y

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Q: Let lim g(x) = 6 and lim h(x) = 8 x→4 x→4 Determine the value of the limit lim [g(x) — 10]² x→4

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Q: 3x² – 5ƒ(x) 2x+1 f(x)

A: given that , f(3) =-5   and   f'(3) =4(a)  if   g(x)=3x2-5f(x)then finding  g'(3):-…

Q: For the given function, find (a) the equation of the secant line through the points where x has the…

A: Given query is to find the equation of the secant and the equation of the tangent.

Q: The graph of y = f(x) has the following features: lim f(x) = 3 18 ● lim f(x) = -2 #418 lim f(x) = -∞…

A: Here is the solution:

Q: 1) lim x → 3 x³-3x²+2x-6 x² - 4x³ +6x+9 4

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Q: Find the following derivatives: a) y = In (2x + 2) b) y = 1+int 1-Int

A: we need to find the derivative

Q: What is the monotone and bounded functions? Explain with examples.

A: monotone functions: Functions are known as monotone if they are increasing or decreasing in their…

Q: determine the open intervals on which the graph of the function is concave upward or concave…

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Q: Find (f+g)(x)=? Domain of f+g is ? Find (f•g)(x)=

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Q: e If xe5y + y¹ sin(5x) = 4* defines y implicitly as a differentiable function of a the dy Note: Your…

A: Given query is to find derivative.

Q: Suppose that the total profit in hundreds of dollars from selling x items is given by P(x) = 4x - 4x…

A: Note: Since in the question it is mentioned to solve parts (a) through (d), but the student has…

Q: 1. x52x²y³ + y² = 7 mi G

A: As per our guidelines we are supposed to answer only one question.kindly repost other questions as a…

Q: 2 Calculate the following limits. Enter "DNE" if the limit does not exist. lim_f(x) = z 2 lim f(x)=…

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Q: Differentiate the following function: f'(t) = FI f(t) = √t__1 1-1/1

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Q: How can I find the height of a point off the ground, using the unit circle?  For example, the…

A: let's take a circle with the center 'O'. To find: - The height from the ground of the point P (x, y)…

Q: can you give steps on how to do a "Definite Integral of a Root (or Fractional Exponent)"

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Q: Find the absolute maximum and minimum of the function f(x, y) = x² + y2 subject to the constraint…

A: Given function:- fx,y=x2+y2 Let gx,y=x4+y4-1

Q: 7. For the following questions, use the graph of y = f(x) below. -4 -3 -2 1 4 -2 ON 4

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Q: The solution set to |x-1|>|2x+1| is None of the above (-2,0) (-∞,0) (-2,00) (-∞, -2) U (0, ∞)

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Q: 10. Identify the location of the relative maxima and relative minima of the function. M -5-4-3-2-1 1…

A: Question -   10. Identify the location of the relative maxima and relative minima of the function.