Find the positive root of the equation x + 2x2 + 10x - 20 in the interval [1,2] using Regula Falsi method O 1.386621357 1.368806657 O no positive roots lies on the given bracket

Q: arcsin = ab' a? - Va? - y?; Find y!. Oy = 2abr(x+b) Va-y 1-y 2ab r Va- 1-y 2ab r/a-y H. 1-2ab z a- «…

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

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Q: Evaluate the integral / (4x + 18y) dx + (27x – y)dy along the parabolic arc y = x? from (0,0) to (1,…

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Q: dx Solve the separable differential equation dt and find the particular solution satisfying the…

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Q: Find div F and curl F if F(x, y, z) = 13y'z4i – 16x4z10j – 3xy'k. - - div F= curl F=

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Q: C. y = cosh¯'(x² + 1) + tanh-1(sinx) + sinh-'(cothx²)

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Q: Consider the quadratic function g(x)=x²-4x+36. Define a new function S(x) by S(x)=the slope of the…

A: As per our norms we have to write three multiple questions at a time kindly repost remaining…

Q: Use the properties of the derivative and the given vectors to find the following. = ti+ 8 sin(t)j +…

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Q: 3. Differentiate. SET A. y = 3 cos(5x2 + 2)

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Q: about the line, x- | (E'1) puo (!!)'(0) squiad %3D V= T RG) 3-X y= 2x+1 Idy 3 - 23. x- V= T 29 12

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Q: Question 5 Given the expression below, y = ecos" arcsec(ln(r 1)) determine y. Upload Choose a File

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Q: cos 6x cos 2x dx

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Q: Find the sum of the following power series: 3 3.7 1+7** 4-8 3.7.11 3.7.11.15 + 4.8. 12 4.8. 12• 16…

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Q: Using Euler's Method, approximate the initial value problem for various values of x given in the…

A: Using Euler's Method we have  xn = xn-1 + h  yn = yn-1 + h . f(xn-1, yn-1)  In the given question we…

Q: Determine the vector field of F. F(x, y) = yi - xj

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Q: 3. [sinh ot e"dt Ans.

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Q: Use series to approximate the value of the integral with an error of magnitude less than 10-8. 0.19…

A: We will use atleast 8 digits in every value which eventually lead to the error less than 10-8.

Q: d Calculate r1(t) · r2(t)] and dt d [ri(t) × r2(t)] first by differentiating the product directly…

A: Given that,       r1(t)=9t i+4t2j+5t3k,   r2(t)=t4k

Q: A company has identified that the revenue R for a particular product is given by the equation R(x)…

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Q: Evaluate the integral. V3/2 dr V1- r2 |

A: We know, ∫dx1-x2=sin-1(x)

Q: Find dy/dx. x = Vt y = 9-t %3D dy dx

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Q: 1 Which of the following is an antiderivative of the function f(r) = %3D 5+ x2 (a) 2x In(5+2?) 1 (b)…

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Q: Consider f(x) = (5x + 11)2022, find: i. f'(x) ii. f"(x) iii. f''(x) iv. fiv (x) v. f°(x)

A: Given, f(x)=5x+112022

Q: Use Green's Theorem to evaluate the line integral |(y - x)dx + (2x – y)dy for the given path. C: x =…

A: Let's find.

Q: 3. Determine the valume of the solid ebtained by rotating the region bounded by y=x² and x =y2 about…

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Q: Use power series operations to find the Taylor series at x = 0 for the following function. x -2+2…

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Q: 1

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

A: A detailed solution is given below

Q: Evaluate the following indefinite integral: x dx 1.) S - Vxt – 1

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Q: Find a value for k that will make the given function a probability density function. f(x) = kz, on -…

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Q: Evaluate the following indefinite integral: x dx 1.) S- Vx4 - 1

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Q: Find the first derivative of the function below: f(#) = cosh(cot(z² – 2x – 7)) %3D

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Q: tanode B В sec®

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Q: X= 6 The area enclosed by the curves Y= and y= 2x from x= 1 to x= e is 2) e +1 O 3) +1 O 4) 2-2

A: Given query is to find the area enclosed by the curves.

Q: Find div F and curl F if F(x, y, z) = 4y³z'i – 11a"z°j – 4xy°k. - -

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Q: Write the given (total) area as an integral. a. The area above the x - axis and below y = 4 – x2 b.…

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Q: Find y': y = ar cos

A: The given function,  y=ar cosx3

Q: Given: y = arctan sinh find y' at x = 2 cosh 1 1+sinh 1 cosh 1 %3D 3(1+sinh 1) cosh 1 1+sinh 1 cosh…

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Q: Determine the derivative of the given function: ソ=c 3 y = e x2

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Q: y' + 4y = e^(4t) %3D

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Q: Current Attempt in Progress Find curl(6z i + 7x j + 9y k). curl(6z i + 7x j+ 9y k) = ( i Di +( i )j…

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Q: (a) / Which of the following integrals is equal to -2+ In 2? X - 4 dx (a) 4- I dx (b) 2 - 4 da (c),…

A: To find which of the given integrals has given value

Q: xe - ye" = In(xy). Find dy/dx.

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Q: Your questions is to find the first and second derivatives in the given functions SHOW ALL OF YOUR…

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

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Q: a. Find the derivative function f' for the function f. b. Determine an equation of the line tangent…

A: Given : f(x)=7x+1   To Find : a) Derivative of f(x) b) Tangent at point (a,f(a)) where a=5

Q: Determine whether z is a function of x and y + z2 = 1

A: see below the answer and explanation

Q: Find r'(t) r(t) = 6Vti + t²V¢j + In(2 )k r'(t) =

A: Given r(t)=6ti+t2tj+ln(t2)kThat is…

Q: Given: 4 2 y = -arctan sinh 3 х — find y' at x = 2 - cosh 1 - y 1 + sinh? 1 %3D cosh 1 y = 1 + sinh…

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Q: Determine whether the improper integral converges or diverges. Evaluate the integral if it converges…

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