positive root of  x3  -x-3 = 0 ,

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: 2- Can the False Position Method be used to find the root of f(x)=, starting with the interval…

A: Given that  f(x)=1/(x-3) To find the roots of the equation by using false position method

Q: 31. f(x) = 2x3 -3x2-36x %3D

A: Given the function f(x)=2x3−3x2−36x

Q: a. Find the absolute extrema of flx) = x2 – 3x + 3 on the interval

A:

Q: The slope of the tangent line to a curve is given by f'(x) = 7x² + 9x - 8. If the point (0,5) is on…

A:

Q: Find the equation of the tangent line to the graph of f(x) = -2(3x – 1)³ at . Show work or explain…

A:

Q: Find all points on the graph of ƒ(x) = 9x2 - 8x + 4 where the slope of the tangent line is 0.

A: ƒ(x) = 9x2 - 8x + 4

Q: What is the point on the curve q(x)=x2−2 that is closest to the point (−18,−2)? Enter your answer as…

A:

Q: Find the slope and an equation of the tangent line to the graph of the function at the specified…

A:

Q: Find the equation of the tan gent line to the graph of the equation f(x) = 5x - 8x +12, at the point…

A: Here we are going to solve only one question and for the remaining question post the question again.…

Q: Use the Intermediate Value Theorem to show that there is a root of the given equation in the…

A: By intermediate value theorem, if fx is continuous on an interval  a,b and fa≠fb, then there exist a…

Q: The equation of the tangent line to the graph of f(x) = 2x3 − x2 at the point (-1,-3) is

A: We have to find the equation of tangent of the given graph at (-1,-3), we know that slope of the…

Q: Use the IVT to find an interval of length ½ containing a root of f(x) = x3 + 2x + 1.

A: Intermediate Value Theorem If f is continuous on a closed interval a,b, then for every value M…

Q: Please answer number 1 use 4 decimal places. Find the positive real root of f(x) = x^4- 8x^3-35x^2 +…

A: Given function: fx=x4-8x3-35x2+450x-1001 Solve the equation using bisection method.

Q: Find the points function' that have horizontal tangents when f(x) = x°-6x 6 On the graph of the

A:

Q: The slope of the tangent line to the curve at (x,y) point is defined by 3log3 (1- ) (k +1). If the…

A:

Q: Find the absolute extreme values of the function on the interval. 1) f(x) = tan x, - 7sxs6 4

A:

Q: Find the equation of the tangent line to the graph of f(x)=-3x2-5 at the point (2,-17). Write your…

A: Given function    f(x) = -3x2-5Differentiating ,  f'(x) = ddx(-3x2-5)…

Q: Find all points on the graph of ƒ(x) = x3 + 9x2 + 19x - 10 where the slope of the tangent line is…

A: The derivative of xn is nxn-1 for n≠0. The derivative of f(x)+g(x) is f'(x)+g'(x). The derivative of…

Q: 13 X ƒ(x) = [5,-3],ƒ(c) = -1/ x²-4,

A: The intermediate value theorem states that if f is a continuous function whose domain contains the…

Q: Find an equation of the tangent line to the graph of f(x)=x^2+3x-7 at the point (1,-3)

A:

Q: Find all points on the graph of ƒ(x) = x3 + 9x2 + 19x - 10 where the slope of the tangent line is -5

A: Given: ƒ(x) = x3 + 9x2 + 19x - 10 The slope of the tangent line is -5

Q: - Find the point of tangency and the equation of the tangent line passing through the point p(-4,-2)…

A: Given: Now, f'(x)=-3-2x. At (-4, -2), slope = -3-2(-4) = 5. So, the equation of the tangent line is…

Q: Find all values of x such that the tangent line to the graph of y = 5x² – 16x + 5 is steeper than…

A:

Q: Find the points on the graph of f(x) = 2x3 + 15x2 - 84x + 12 where the tangent is horizontal. List…

A: we have to find the points on the graph of the function f(x) = 2x3 + 15x2 - 84x + 12 where the…

Q: Find the slope of the line tangent to the graph of the function defined by f(x) = 3x2 – 4 at (1,…

A: Solution:Given        f(x)=3x2-4   at (1,-2)To find:Slope of the line tangent to the graph The…

Q: Determine the interval on which the function f( x) = 44x – 4-x+12 is concave down.

A:

Q: Suppose that f(x) = 17ex - exe Find f'(3)= ?

A:

Q: Find the point of inflection of the curve x^3 – 3x^2 –x + 7.

A: For inflection point, second derivative is zero

Q: Compute for the possible root of the function f(x) = x4 - x³ - x? - 4 in the interval [-2, -1]. Use…

A: The equation in the form f(x)=0 is called a transcendental equation. If the function is continuous…

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: By using intermediate value theorem locate a root for the f(x) = 2x3 - 3x2 - 6.

A:

Q: Use a linear approximation to estimate the value of the fifth root of thirty.

A:

Q: point

A:

Q: Find the second derivative x4/7 -( solve using rationalising)

A: From the given problem:   fx=x47   As we know the second derivative is represented by:…

Q: Find the absolute max and min values at the indicated interval  f(x)=2x^3-x^2-4x+10 ;[-1,0]

A: Absolute maximum and absolute minimum values of a function exist at a point where its first…

Q: what is the value of x in second iteration of the function f(x) = sinx - X +5, in the interval of…

A: According to the fundamental theorem of algebra, every algebraic equation has a root. If the…

Q: By using intermediate value theorem locate a root for the f(x) = 2x³ – 4x² -7. 1

A:

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: The slope of the tangent line to a curve is given by f'(x) = 2x+ 9x - 5. If the point (0,4) is on…

A:

Q: Find the equation of the line tangent to f(x) = 4x³ + 9x – 7 when x=3. O f(x) = 135x - 288 o f(x) =…

A: Given, f(x)=4x3+9x-7 and x=3 The equation of a line in point-slope form is given by y-y1=mx-x1…

Q: Can the False Position Method be used to find the root of f(x)= –', starting with the interval…

A: In False Position method , select the starting interval, a,b such that a<b and fa·f(b)<0 .

Q: By using intermediate value theorem locate a root for the f(x) = 2x3 – 3x2 – 6. %3D

A:

Q: find equations of the two tangent lines to the graph of f(x) = x^2 that pass through the point…

A: find equations of the two tangent lines to the graph of f(x) = x^2 that pass through the point…

Q: Find the slope and an equation of the tangent line to th 3 2 3. f(x) = + 8x + 8; (-1, 21 slope 11…

A: Recall: Point-slope intercept form :  y-y1 =m x-x1 where , 'm=dydx' is the slope and x1,y1 are given…

Q: Use the Intermediate Value Theorem to show that there is a root of the given equation in the…

A: Proceed as shown below...

Q: Graph the tangent line to the function f(x) = –3x³ – 2x² – x + 3 at the point (-1, 5). Place point A…

A: Given that the function  is    f(x) = -3x3 - 2x2 - x + 3  Here we have to find the tangent line at…

Q: The slope of the tangent line to a curve is given by f'(x) = 4x + 9x - 3. If the point (0,7) is on…

A: Given, f'x=4x2+9x-3(x,y)=0,7

Q: Derive a formula for the absolute error of a quotient X2

A:

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.