Use the false position method in order to find the root of the function: fx) = -26 + 85x- 91x + 44x - 8 x +x Start with the interval [0.5, 1] and stop when the error is less than 0.2%.

Q: Write the equation of the tangent line to the graph of y= 8x^4-7x-1/3-x^2 at x=1 check the…

A: First we find out first derivative at x=1 which is slope of tangent line.then we use equation of the…

Q: The path of a diver is modeled by rx) %= 승x2 + 24x+ 11 where f(x) is the height (in feet) and x is…

A: We, know at maximum or minimum of a function f(x), the first derivative, f'(x)=0. At maximum,…

Q: Find the equation of the line that is tangent to f(x) = 2x² and is parallel to 16x - 4y =11.

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Q: The slope of the secant line of the square root function at x=4 and x=9 is [a], and the y-coordinate…

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Q: Find the equation of the line tangent to the graph of f(x) = 6x° + 5x² – 4x – 7 at x = -3

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Q: Estimate S," 3x +x² using Mid-point method (n=6), then find the error estimate.

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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: The annual revenue and cost functions for a manufacturer of grandfather clocks are approximately…

A:

Q: Find the equation of the line tangent to the graph of f(x) = 3x³ + 6x? – 4x – 3 at x = -6,

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Q: Does y' = −4(y − 5) have a solution that tends to∞as t →∞?

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Q: Q=- Find the Zero and its oider for the function fiz) = 1- Ki+Z+ ¢ ?

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Q: If f(x) = 2x2 + 10x + 6, find the equation of the line tangent at x = %3D -1.

A: Given, f(x) = 2x2 + 10x + 6 So, y = 2x2 + 10x+ 6 for finding the equation of line  we first find the…

Q: + 5

A: Introduction: The tangent of the function of the form y=f(x) at a point a is derivative of this…

Q: A molecule is moving along the x-axis such that at any timet > 0 (in seconds), its position from the…

A: Position of molecule from the origin at any time t is given as:

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: Consider y = xe^x on the interval [-5, 0]

A: In order to find global minima of the function, check the values of the function at end points and…

Q: Use the derivative to find the vertex of parabola. y = -2x2 + 12x - 5

A: Given equation of parabola is y=-2x2+12x-5. To find the vertex using derivative. Solution: We know…

Q: Find the point on the curve y = sqrt x that is closest to thepoint (3,0)

A: Given curve y=x Let A(x,y)  be a point on the curve and let B(3, 0) So distance between A and B is…

Q: At which ordered pair will the function f(x) = v-x - 2 – 2 begin on the coordinate plane? %3D ([?],…

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Q: for the function f(x)=11x^3-x, find the slope of secant line at interval [1, 1.01]

A: We have given a function f(x).

Q: What point on the function y = sqrt(x + 3) is the closest to (2, 0)

A: We have to find closest to the given curve from (2, 0).

Q: At which ordered pair will the function f(x) = Vx – 4 +7 begin on the coordinate plane?

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Q: If f(x) = 2x² – 8x + 7, find the equation of the line tangent at æ = 3. Preview TIP

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Q: Find the values of ôf / ôx at the point (4,-5) if f(x, y) = x +3xy + y-1

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Q: Determine the interval(s) for which f(x) = x4 – 54x² is concave down. Answer:

A:

Q: Find the equations of the line that is tangent to f(x) = x4 - 3x² + 2 %3D at x 2

A: To find: The equation of the line that is tangent to f(x)=x4-3x2+2 at x=2. Calculation: The first…

Q: If f(y) = V4 - 7y, find f'(y). Use exact values.

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Q: A company that produces cell phones has a cost function of C the cost in dollars and x is the number…

A: Let's find critical points. The derivative of the cost function is  C'(x) = 20x - 189 The derivative…

Q: Find the equation of the line tangent to the graph of f(x) = 7x³ + 8x² – 2x – 6 at x

A: We need to find the equation of the tangent to the function f(x) = 7x3+8x2-2x-6 at x=—2 We know that…

Q: If f(x) = 9x2 - x³, find f'(2) and use it to find an equation of the tangent line to the curve y =…

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Q: Use the Midpoint Rule with n = 5 to approximate x dr - 2

A: We have to find the approximation of the given integral using Mid point rule.

Q: If f(x) = 4x2 – 9x + 5, find the equation of the line tangent at x = 2. -

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Q: A software developer notices that the number y of downloads of an app (in thousands) is related to…

A: Given, y=2.6-0.4x Part a: We know that, Rx=yxRx=2.6-0.4xxRx=2.6x-0.4x2 Part b: To find the extremum…

Q: With center on the line y = 2x – 13 and tangent to the line y = - 3x + 57 at (16, 9)

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Q: Find the equation of the tangent to (x2+/ 5x2-Уг at the point (1,1). 8.

A: Given curve is: (x2 + y2)2 = 5x2 – y2and the given point is (x1, y1) = (1, 1)Equation of tangent…

Q: point

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Q: State the interval for which the curve y= 3x* –16x +30x? +2021 is concave down.

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Q: If f(x) = 2x² + 4x + 9, find the equation of the line tangent at x = 2. -

A: To find equation of the tangent line we need slope and y intercept of the line.  Slope of the…

Q: Find the equation of the line tangent to f(x) = 4x³ – 5x +4 at (–2, –18). -

A:

Q: find the length of the curve y = 2x6+1/8x2 from x is greater than or equal to 1 and less than or…

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Q: Use the slopes of tangents to determine whether the function f(x) = -6x²+36x is increasing,…

A: The given function f(x)=-6x2+36x at the point x=4.

Q: Find the equation of the line that is tanget to f(x)= sqrt(x+1) at the point (8,3).

A: The given function is

Q: If f(x) = 8x2 - x3, find f'(2) and use it to find an equation of the tangent line to the curve y =…

A: The given function is f(x)=8x2-x3

Q: In the open interval (0, T1/2) , find the point where the slope of the curve is 4? y = 3x* – 8x +…

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Q: If f(x) = 2x2 - 9x + 4, find the equation of the line tangent at a 2. %3D

A: Given that: f(x) = 2x2-9x+4  To find:  Equation of tangent line at x=2.

Q: Find the length of the curve on the interval 3/2 Y= (10x+ 15) 15

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Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 36x2 +…

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Q: Find all the values of x where the tangent line is horizontal. f(x) = 2x° + 36x? + 192x + 12

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Q: For the​ function, find the points on the graph at which the tangent line is horizontal. If none​…

A: To locate the points on the graph where the tangent is parallel to the x -axis

Q: What is the average distancebetween the parabola y = 30x(20 - x) and the x-axis on theinterval [0,…

A: The equation of parabola is given by y=30x20-x on [0, 20] The expression to evaluate the average of…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.