Find the absolute extrema of the function on the closed interval. Use a graphing utility to verify your results. (If the answer does not exist, enter DNE). f(x) = 1/5 (7x + 2), [0,4]

Q: Find the point P on the graph of the function y = x closest to the point (2, 0) The x coordinate of…

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Q: a) Find the points on the graph of f(x) = 2x- 3r²- 12x + 8 where the tangent is 3. horizontal.

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Q: Find the area of a triangle bounded by the y axis, the line f(x) = 4 – 3 x, and the line…

A: Given: f(x)=4-13x If the given line is y=mx+c with slope m then the slope of a line perpendicular to…

Q: Find the absolute extrema of the function on the closed interval.

A: Given function is  y=3-t-3,   -1, 5

Q: Find the area of a triangle bounded by the y axis, the line f(z) = 9 -1, and the line perpendicular…

A:

Q: Find the area of a triangle bounded by the y-axis, the line f(x)=10−2x, and the line perpendicular…

A: y=10-2x here coefficient of x is -2 so the slope of the line is m=-2 and the perpendicular line…

Q: Consider the function f(x) =3 on the interval [1,5]. A graph of the function appears to the left.…

A: SOLUTION-

Q: given the functions f(x) = -x^2 -2x + 5 and h(x) = 2/x+9, find a.) f'(x) = f(x+h) - f(x) / h b.)…

A: Given fx=-x2-2x+5hx=2x+9 a.) f'(x) = f(x+h) - f(x) / h b.) g'(x) = g(x+h) - g(x) / h c.) consider…

Q: The tangent to the function, f(x) = -2x² + 3 at the point (-1, 1) is the hypotenuse of right…

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Q: There is no point on the graph of f(x) = 3x2 4 at which the tangent line is y = 12x- 2. Select one:…

A: We have to consider gi condition is true or false

Q: Find a function f such that f (x) = 2x3 and the line 54x + y = 0 is tangent to the graph of f. f(x)…

A: Key point used: The slope m, of the tangent to f(x) at point h,k, is equal to f'x=h. Given:Eq of…

Q: Find the area of a triangle bounded by the y axis, the line f(x)=9−2/5x, and the line perpendicular…

A: fx=9-25x Comparing with fx=mx+c, we get m=slope=-25c=y-intercept=9 Therefore the slope of a line…

Q: Find all values of x such that the slope of the line tangent to the graph of f(x) is 0: f(x) = 3x* +…

A: Given : f(x)= 3x4 +4x3-36x2+6343

Q: For what values of x does the graph of f(x)=2x^3−3x^2−36x−3 have a horizontal tangent line?…

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Q: Find the absolute extrema of the function on the closed interval.

A: Given: fx=x2+5x,  -4,0   To Find: The absolute extrema of the function on the closed interval.

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: Find the point P on the graph of the function y = yx closest to the point (4,0 The x coordinate of P…

A: Given that, graph of function  y=x   We have to find Point P on y which is closest to (4,0)

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: f(x) = x², with 0 < x < 6

A: Length of the curve y=f(x)  from   x=a to x=b   is give by  L=∫ab1+dydx2 dx

Q: is y=s/(1+s)  a rational function? If not, what type of function is it?

A: Given function,  y = s/(1 + s)  To find whether it is a rational function or not.

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: (b) Write the equation of the line tangent to the graph of f(x) at z 1, and graph it below f(x) =…

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Q: Find values of a, b, and c such that the graph of f(x) = ax³ + bx² + cx_has a horizontal tangent at…

A: The graph passes through (1,1). So at x=1, f(x)=1

Q: Locate the absolute extrema of the function on the closed interval. 12 g(t) = [-1, 1) t2 + 1'

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Q: Find the area of a triangle bounded by the y axis, the line f(x) = 10 1 and the line perpendicular…

A: A triangle bounded by the y axis, the line f(x)=10-13x, and the line perpendicularto f(x) that…

Q: The function J(x) 5x + 72 has one local minimum and one local maxim This function has a local…

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Q: Let f(x) = -3x² – 15x + 3. Find the x-value(s) where the graph of the function has a horizontal…

A: Given function is

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: Answer

Q: The formula for solving for the area in the first quadrant bounded by y = x², the circle x² + y² =…

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Q: Let f(x) = 4x3 + + 2Vx – 7. Find f'(x). 15. Find an equation for the tangent line to the graph of…

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Q: Use the First Derivative Test to find the x-value(s) at which the function f(a) = + 4x? 2 9x? + 4…

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Q: 1 Find the distance between the two values of x at which the function is discontinuous. x²-3x + 2

A: The function given is ,f(x) = 1x2-3x+2f(x) is discontinous when,x2-3x+2 = 0Using quadratic formula,x…

Q: For what values of x does the graph of f(x) = 2a – 9a? – 60x – 3 have a horizontal tangent line?…

A: Given function is fx=2x3-9x2-60x-3. Compute the derivative. f'x=2x3-9x2-60x-3'=6x2-18x-60

Q: The slope of the line tangent to the graph of f(x) = 18 – 5x² at the point x = -8 O 20 O 10 O 160 O…

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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 point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: Given function fx=x3-6x2+23x-30 and f is concave upward f''&gt;0and concave  downward f''&lt;0

Q: Q1) Find the distance between the oblique asymptote of the function f(x) E***-4 and the x²-2 center…

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Q: f(x) = + 2x' with 1 < x< 2

A: Given: fx=x36+12x with 1≤x≤2

Q: For what value(s) of x does the graph of f(x) = 8x³ – 84x² + 288x – 48 %3D have a horizontal…

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Q: Find the x-coordinate on the graph of f (x) = x3 - 12 x where the tangent is horizontal. (A) 1, - 2…

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Q: Use the graph of the function f, plotted with a solid line, to sketch the graph of g(x) = f(x+2). Ay…

A: NOTE: Refresh your page if you can't see any equations. . the base graph is

Q: Find the point on the graph of f(x) = Vx that is closest to the point (6, 0). (x, y) = %3D

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Q: Find all the values of x where the graph of f(x) = 2x³-36x2 + 192x 9 has a horizontal tangent line.…

A: topic - derivative of a function and point of horizontal tangent line

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: (c) For what value(s) of x does the graph f (x) =3x³ – x² +3 have a horizontal tangent.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: On what interval(s) is the function -9x3 g(x) = e both decreasing and concave down?

A: The interval in which the given function g(x) is both increasing and concave down must satisfy the…

Q: ind the equation of the osculating circle at x=2 for y= 1/4x^2-x. Draw the circle

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Q: Q9. For what values of x does the graph of f(x)=x-2sin(x) have a horizontal tangent? *

A: As per Bartlebys expert answering policy, we can only answer one question with its three subparts,…

Q: A factory selling cell phones has a marginal cost function C(x) = 0.01x² – 3x + 229, where…

A: Given that: Cx=0.01x2−3x+229Rx=429−2x To find the area between the graph.

Q: sketch the solid and a washer for the graph of these two functions f(x) =2 -(x-2)^2, g(x)=-x after…

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.