Q: For what value of the constant c is the function f continuous on the interval (-,00). Sa? – 3, x с…
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Q: Suppose f is a function where the line tangent to it at x = 3 is given by y = 5x + 2. Find the…
A: Given information: y=5x+2, Find the value of f(3) and f'(3)
Q: At which of the labeled points does f' (x) = 1? B
A: The graph of the function is given by To evaluate : The point at which f'(x) = 1
Q: Your weekly marginal profit (in dollars) from selling X newspapers per week is given by P'( x = 4…
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Q: Find the intervals on which the function y=xx(x>0) is increasing and decreasing.
A: We take ln on both sides of the function
Q: 50. Is the function given by f(x) = 3x - 2 continuous at x = 5? Why or why not?
A: Given: fx=3x-2 Concept Used: Linear function is continuous everywhere.
Q: Use this formula to find the instantaneous rate of change of the function at the given x-value.f(x)…
A: Given function is
Q: For what value of the constant c is the function f continuous on (-0, 00)? C =
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Q: Let f(x) = -x² - 4x + 11. What is the average rate of change from x = -5 to x = 2? %3! O-7
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Q: 4. Use the linearization of the function f(x)%= at an appropriate x=a value to approximate 4.002
A: Given: The function f(x)=1x
Q: The line tangent to the graph of ƒ
A: formula used: The equation of the tangent line at (x1, y1) is y-y1=m(x-x1) where m is the slope of…
Q: 4) Find the intervals where the following function is concave down: ππι y = 2sin² (2x) - 4x, x € -
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Q: Let f (x) = 5* – 7x - , for what value of root that the relative error would be equal or less than…
A: Given that f(x)=5x-7x2 The newton method formula is, xn+1=xn-f(xn)f'(xn) Take the derivative for f,…
Q: For what value of the constant k is the function f continuous on (-∞, 0)? 5x2 – kx + 7 if x 7 k =
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Q: •On what intervals) is the function y=-4x*+ (6x"n both increasing and cocave down?
A: Given, The function y = -4x2+6x17 We have to find the intervals in which function is both…
Q: Which of the following is the x-coordinate of a relative extremum of the function f(x) = = Arct…
A: We will use first derivative test to determine the extremum of the function.
Q: Which type of discontinuity does the function S4- a², In x, x < 1 f(x) = 1<x < e has at x 1?
A: We need to choose correct option.
Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x) and…
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Q: The Range Rf for the functionf (x) = tanhx is:
A: Range of f(x)= tanh x
Q: Find thie avevage rate of change of flal with espect to x on the interval. F(x)=x² -5;[-4.0]
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Q: pressure
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Q: 2 For what values of x does the graph of f(x) = 2x° + 3x – 180x – 1 have a horizontal tangent line?
A: First we find the derivative of f(x), the slope of f(x) for horizontal tangent is 0 and the…
Q: The marginal revenue (in thousands of dollars) from the sale of x gadgets is given by the following…
A: (a) The function representing the marginal revenue is R'(x)=4xx2+26,000-23 (in thousands of dollars)…
Q: Please
A: For concave downward, f''(x) < 0 f(x) = (1-1/x)2 = 1 - 2/x + 1/x2 f'(x) =2/x2 - 2/x3 f''(x) =…
Q: For the function: f(x) = 2sin (G) on the interval [0,4Tt], find: Relative max = (t,[ ? ]) Relative…
A: This is a problem related to maximum and minimum of the function. Based on the general formula and…
Q: Is the function given by f(x) = 5X+6, for x s5, 5x-14, for x>5, continuous at x=5? Why or why not?
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Q: Ex 5. Find the intervals of increase or decrease for f(x) = (x– 2) Vx² .
A: We have to find the interval where derivative of f is positive and negative
Q: The area of a disk as a function of radius is given by A = πr². How close must r be to 2.0 cm to…
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Q: The tangent line to the graph of a function f at the point x =2 has x-intercept 10/3 and y-intercept…
A: Given query is to find f(2) and f'(2)
Q: Find the y-intercept of the line tangent to the graph of f(x) = 4/æ at x = 9. O 4 Answer not listed…
A: Slope of tangent is obtained by differentiating the function f(x).
Q: Find k such that the line is tangent to the graph of the function. Function= f(x) = k square root x…
A: Find k such that the line is tangent to the graph of the function. Function= f(x) = k square root…
Q: Give the interval where y is decreasing y=x²e^x
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Q: The first two sub-intervals in the table are [0, 0.5] and [0.5, 1.0]. When calculating L6, we should…
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Q: Suppose you have the function f(x) = 3x2 + 4x + 2. %D - A) What is the exact value of the slope of…
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Q: 3. Over which interval is the function f (x) = 1 + 2ex -3x increasing?
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Q: O For what value of x does the function f (x) = 4x2 – x +1 have a horizontal tangent?
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Q: Find the function whose tangent line has the slope 3x² + 1 for each value of x and whose graph…
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Q: Suppose that the function y=f(x) is increasing on the interval (-1,5). Over what interval is the…
A: The x-5 is offsetting the input of x. The beginning of the function increase is at x-5=-1 and the…
Q: Find the interval on which f(x) =x'e is increasing.
A: We find f'(x) using the product rule
Q: 4, A vehicle was traveling along a straight way. The velocity as a function of time is modeled by…
A: Note: We are authorized to answer one question at a time, since you have not mentioned which…
Q: What is the equation for a linear function with a vertical stretch/compression by 2/5. BE SURE TO…
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Q: Find the average rate of change of the function f(x) interval1 ≤ x ≤ 6. none of the above 162/8 34…
A: I have given the answer in the next step. Hope you understand that
Q: Find the set on which the curve is concave upward. Answer (in interval notation): = [₁² F 1.² 2 t² +…
A: A function y=f(x) is said to be concave upward on an interval if d2ydx2>0.
Q: On what interval is the function f(x) = x^3 - 4x^2 + 5x concave upward?
A: Use given function find the required result
Q: For what value of the constant c is the function ff continuous on the interval (−∞,∞).
A: c=5 Answer and explanation is given below
Q: The graph of f (x) = ax+b x²+3x-8 has horizontal tangent at (2, -1). Determine the values of a and…
A: Given query is to find the value of a and b.
Q: 6. Determine the inflection points and intervals of concavity for the function y= e2*
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Q: 26) The interval where f(x) is decreasing is?
A: Answer and explanation is given below...
Q: he function f(x) = 5
A: Here we have to find the interval at which function f(x)=5x-ex is increasing.
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- Determine dimension x to 3 decimal places.If the average rate of change of q (x) in the period (5,7) is equal to 8 and y (5)*y (7) = 16 and f (x) = 1 / y (x), what is the average rate of change of the function f ( x) In the same period ?!obtain general and particular solution satisfying initial condition indicated using homogenous function
- Find a function with the given derivative whose graph passes through point P f'(x)=1/x+2, x is greater than -2, P(-1,3)Sketch the graph of a function with a critical point that is not an extremum and a critical point where the derivative does not exist but is an extremum.Find the slope of line drawn tangent to the function. f(x)=x2+7, at the point (-2,11) by using the limit process.
- On which open interval is the derivative positive/ negative .Show that a constant function f1x2 = b has an averagerate of change of 0. Compute the average rate of changeof y = 24 - x2 on the interval 3 - 2, 24. Explain how this can happen.A particle moves on the line y = 2x + 1 in such a way that its x−coordinate changes at a constant rate of 4 units per second. A right triangle is formed by the vertical line from the particle to the x−axis, the line connecting the particle to the origin, and the x−axis. At what rate is the area of the right triangle changing when x = 4?
- find the value of the constant c that makes the attached function continuous on (-∞, ∞) c =2. Use an example to show how to use the First Derivative Test for critical pointsIt is defined as the limit of the ratio of the change in a function to the corresponding change in its independent variable as the latter change approaches zero. A. Constant B. Function C. Derivative D. Domain