Given f (x) =r - 4r defined over [1, 3]. Using Secant :method, the first approximated root for f(x) is 1.52

Q: The function f(x) = 3x³ + cos(3ræ) + 2x , x > 1 is known to be a strictly increasing function on its…

A: Given f(x) = 3x3 + cos(3πx) + 2x,  x≥1   ⇒ f'(x) = 9x2 - 3πsin(3πx) + 2

Q: -. For the function f, f '(x) =x² -1 and f(4) = -1. What is the approximation of f(3.9) found by…

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Q: e^x=3-2x

A: Given; ex=3-2x,(0,1)

Q: Find the quadratic approximation of f at x = 0 f(x) = sin In (3x + 1) O A. Q(x) = 1 + 3x + 5x 9 B.…

A: The given function is: fx=sin ln3x+1 To find the quadratic approximation of f at x=0

Q: 3 Given the function: f(x) = (1+ x)³/2 . x - 1 Prove that it is increasing on (0, +00) analytically,…

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Q: 16. If f(x) = 2x² + 3x + 5, f(c) = 20, and the interval is [0,5], use the Intermediate Value Theorem…

A: If fx=2x2+3x+5,  f(c)=20,  [ 0,5]  f0=202+30+5 = 5  f5=252+35+5 = 70  Using Intermediate value…

Q: b. Find the value of V1- 0.162sin²x dx using Simpson's 1/3rd rule, taking 6 equal subintervals

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Q: 3. Solve for the values of "x" in the equation f (x) = x +, using (a)Bisection Method, %3D (b)Secant…

A: If y=f(x), then the independent variable x is called the input of the function, and the dependent…

Q: 1. Consider finding the root of f(x) =x´ – 5 use secant method, ɛ = 0, and start with the a interval…

A: given , f(x) =x2 - 5  we have to find roots of f(x) in interval by using secant method

Q: Use the modified Euler Method to solve the ODE = subject to y 1 when x 0 %3D dx 1+x on the interval…

A: To find y(0.3) by using the modified Euler's method.

Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

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Q: 1 Find the quadratic approximation of f(x) = arctan(x) at c = Round the coefficients to four . √√3…

A: The given function is           f(x)=arctan(x)=tan-1(x) To find the quadratic approximation of the…

Q: Use Euler’s method with n = 2 on the interval 2 ≤ t ≤ 3 to approximate the solution f(t) to y′ = t -…

A: Given, y'=t-2y y(2)=3

Q: Approximate X f(x) = e*over the interval [- 4, – 2] using 2 subintervals.

A: In this problem, Simpson 1/3rd rule is used to find the approximate value of e^x over the interval…

Q: Find the general antiderivative of f(x) = 4x – 5. Use Cfor the arbitrary constant. nswer F(x) =

A: Fx=∫fxdx

Q: Use successive approximation method for the equation with x + X with Xo 0.75767and %3D Xn+1= then…

A: We have to find the successive approximation for the given function

Q: a) For 0 ≤ x ≤ 1, show that < x². √2 + x b) Use the estimate in a) and integrate it to prove that…

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Q: What is the antiderivative of 1 / (x - (1/k)x^2) with respect to x? k is a constant

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Q: find the solution of following derivative by Runge-Kutta method f(x,y) = -2x3+ 12x2 - 20x + 8.5 let…

A: Consider an initial value problem dydx=f(x,y) with the initial condition yx0=y0. Then Runge-Kutta…

Q: [Q2] For the following function f( x) = N1- x , For x[-1,1] 1- Perform numerical integration using…

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Q: Q1: Use Newton - Raphson method to estimate the 3 Voot of fcx) = x -X - 1, e mp loying an initial…

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Q: Find the most general antiderivative of f(x)=−7x^2+8x−2. Note: Any arbitrary constants used must be…

A: An anti derivative of a function f is a differentiable function, whose derivative should be equal to…

Q: [Q2] For the following function (x) For x[-1,1] 1- Perform numerical integration using mid-point…

A: [Q2] Consider the provided question, (1)

Q: is continuous and integral 3 to 1 f(x)dx =8, show that the graph of f intersects the line y=4 at…

A: Given that f is continuous and f13f(x)dx=8 To prove line y=4 intersects the graph of f altleast can…

Q: Given that f (x) = x³ – 4x2 – x – 12. Verify that f(x) = 0 has a root in the interval 4 < x < 5.…

A: Given function is : fx=x3-4x2-x-12  x=4.5 as the first approximation rootsof the equation…

Q: For f(x) = = 0 with xo = -2, find the estimated root using NRM if the stopping criterion-is…

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Q: [Q2] For the following function f(x) = 1- x, For x[-1,1] 1- Perform numerical integration using…

A: [Q2] Consider the provided question, (1)

Q: التاريخ الموضوع Find The approximate value of f(x) at X=1-2 whereof is defined over The period 1.7]…

A: The given table is To find: f(1.2)

Q: If b > 3 and average value of f(x) = 6x – x² on the interval [0,b] is 6, then what is b equal to?

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Q: d. Find the linear approximation L(x) for f(x)=x²-x-1 at a = 1.

A: Given function is fx=x3−x−1. d We have to find the linear approximation Lx for function fx at a=1.…

Q: If g(g(x)) is continous at 0, then g(x) is continous at 0.  True or False?

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Q: Given the relation f(x) = 2x^2 + 1 - e^x a. Using the convert equation x = √( e^x -1)/ 2, find the…

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Q: Given f (x) = x – z² + 1 %3D - defined over the interval [0, 6]. Use integration methods to solve

A: (a) The interval [1.5, 5] is divided into 8 points, so the 8 points are (1.5, f(1.5), (2, f(2)),…

Q: b. Find the value of V1-0.162sin²x dx using Simpson's 1/3rd rule, taking 6 equal subintervals

A: We apply Simpson 1/3rd rule it is given that six sub intervals must be mentioned so in the interval…

Q: Find the most general antiderivative of f(x) = -10x – (1 – x²)-1/2, where -1< x < 1.

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Q: If f(x) = x2+1 for x > or equal to 0, then is arcf(x) has a tangent at x=1

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Q: The tangent line to y=f(x) at (7,0) passes through the point (6,−7). Compute the following. a.)…

A: Topic:- calculus

Q: Q4: To evaluate the integral fcos' xdx using the reduction formula of cosinc function

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Q: for the function f(Z) z²-2z find the (z+1)° (2 t4) residues at singular points.

A: The residue of f(z) is solved below

Q: For the function f(x)= (x^2)-(4x)+6 on the interval [0,4]  What is the value of f(x) on [0,4]?  What…

A: The given function is f (x) = x2 – 4x + 6 with the interval [0,4]. It is known that, the Rolle’s…

Q: Given the function, f(x) = In x. Build a linear approximation to f to estimate In (0.83). Discuss…

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Q: if f(x)=integral t^3+5t^2+6, from 0 to x. what is f''(x)=?

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Q: 2. Use the secant method to estimate the root of f(x) = a° + a³ + 3. %3D By starting with the…

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Q: Find the 2nd solution using reduction of order. xy" +y' = 0; y1 = Inx For the toolbar, press ALT+F10…

A: Just I have used the method of reduction of order and solve in detail and find that  Second solution…

Q: Find the quadratic approximation of f at x = 0. f(x) = In (1 + sin 7x) 49 O A. Q(x) = 1 + 7x + 7x 49…

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Q: Consider the region bounded above by g(x)=−9x−9 and below by f(x)=x2 −9x−18. Find the area, in…

A: Calculation:The given curves are f(x) = – 9 x – 9 and g(x) = x2 – 9x – 18.The area enclosed by two…

Q: If f is a quadratic function such that f(0) = 9 and f(x) x2(x + 1)3 dx is a ratianal.functian,,find…

A: This question is about finding f'(x)  at x=0  where f(x) is a rational function

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.