Find the roots of the function f(x) = (2" – 1) (a2 + 2r – 3) with r ER. %3D

Q: dy/dx= 4/ root x, for x is greater than or equal to 1, with y(4)=4

A: Given equation:

Q: Differentiate the function y = In (3x² – 6x + 7). Choose the correct setup below to start differe d…

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Q: Q2: By the false position method, find approximation value of the root for f(x) = ex - 2 with e…

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Q: Graph of ƒ Lif(2) dz = L', f(2) dz = S2 f (æ) dæ = Ss\f (x) |dæ Si (f (x) + 3] dæ

A: We need to evaluate its integral of a function f(x) in some interval x∈[a,b] from its graph. It is…

Q: dy Find for the following functions dx (i) y = (2x³ + 3x + 8)º (ii) y = esin(2x²+3x–2)

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Q: Solve for the following problems using substitution suggested by the equation. (3siny – 5x)dx +…

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Q: Find the most general antiderivative of the function f(x) = 7x® – 6³ + 3x?. Answer: F(x)

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Q: For the function y = x² + 2x, find the value of dx when x = 3 and dy is 0.8. O A. 0.1 О В. 10 O.1 O…

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Q: 2z et f(æ) = 4(). Which is equal to f(1)? %3D Select the correct answer below:

A: Given:fx=4132xf1=?

Q: Calculate L6 for f(x) = v6x + I over [1,3]. %3D (Give your answer to three decimal places.) L6 =

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Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(z)…

A: Given that , fx=1.820e0.3387x Where x=0 corresponds to 1998. Find the year when exports reach $11.8…

Q: For the linear function y = f(x) = 2x + 9: df at x = - 5. dæ a. Find f'( – 5) b. Find a formula for…

A: Given function  f(x) = 2x +9

Q: Find dy for the given values of x and Ax. y = 2x° - 7x; x= -2 and Ax= 0.2 dy =D %3D (Round to the…

A: We have to find the dy

Q: ysina dady.d.z. 2.

A: we have to calculate  ∫0π6∫01∫-23ysinzdxdydz ∫0π6∫01∫-23ysinzdxdydz=∫0π6∫01∫-23ysinzdxdydz…

Q: 4. S dx x+√2x+1

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Q: 6.S dx √1+√√x

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Q: Find dy for the given values of x and Ax. 5x - 4 y = -;x = 5, Ax= - 0.03 x+2 dy = (Round to three…

A: Given: y=5x-4x+2; x=5;△x=-0.03

Q: O g(x) = (3t+ 2) dl t %3D

A:

Q: 1 df For the function y = f(x) = x - 4x – 3, x > 2, find dy 1 (f ')'(– 1) =

A: f(f-1(x)) = x is one of important property  of functions Let y =f-1(x) f(y) =x Differentiate both…

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: 4. Estimate the root of the expression, f(x) = xe0.5x + 1.2x – 5, using MOSS using xo = 1 with error…

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Q: What is the value of? df (0), dx xez²+1 ? where f(x) = 1+e-* Write your answer as an integer or as a…

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Q: Find for the given function. w= 10z2 e?

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Q: V2t + e0.1t+2

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Q: Given: f(x, y) = x³y – y cosh xy Solve for D132

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Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

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Q: Calculate L6 for f(x) = v9x + 3 over [1, 3]. (Give your answer to three decimal places.) O 273

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Q: For the function y = f(x) - 4x 10: = | df at x = – 1. dx - 1. a. Find f'(– 1) =

A: SOLUTION-

Q: Q:: Find dy for the following functions: - dx 5x²y5 - 3x = x* + 3y?

A: Given function is : We have to differentiate it with respect to x.

Q: Calculate L6 for f(x) = v7x + 2 over [1,3]. (Give your answer to three decimal places.) L6 =

A: I am going to solve the given problem by suing some simple calculus to get the required result.

Q: dy for the following implicit functions: 9. Find dx 3Xy = (x'+ M/N

A: By using formula  of derivative

Q: - Trig Sub 1 dx V9 – x²

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Q: Write your answer using L (x) defined in the previous page. E (-1)" (2n + 1) / dx g² + n + 1)´ ( 27…

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Q: Differentiate the given function y = cosh(In(6x*)). 1 а) О Зг? + 4 x4 1 b) O 92? 4 x4 c) O 3z2 1 3x²…

A: Given function is y=cosh(ln6x3)

Q: 5. Find the antiderivative of the function and check your answer by differentiating. f(x) = 9x +…

A: 5. We need to evaluate the antiderivative of the following function fx = 9x+15x-2

Q: 3. Find the positive root of the equation r – 3r +1 = 0 correct up to 3 decimal places using Secant…

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Q: Find dy for the given values of x and ∆x. ; y = 2x3 - 5x; x = -2, ∆x = 0.1

A: Given y=2x3-5xx=-2∆x=0.1 To find dy

Q: Calculate L6 for f(x) = v9x + I over [1,3]. (Give your answer to three decimal places.)

A: NOTE: Refresh your page if you can't see any equations. . and the given interval is

Q: Solve the following separable DEs, writing your solution as in explicit function y = y(x) if…

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Q: Find dy for the following functions (メ+リ)+(メーツ)ニxャガ 4.

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Q: Solve the following initial value problem for y as a function of x. dy x = /x? - 16, 3x dx x24, y(4)…

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Q: Find a function ø(x, y) that is harmonic in the wedge < 0 on the left side and ø = 2 on the right…

A: Here, we need to find a function φx, y that is harmonic in the wedge π3&lt;θ&lt;2π3. Note: We will…

Q: (a) Find the approximations T10 and M10 for 7e1/x dx. (Round your answers to six decimal places.)…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: B) Find () for the following functions: Sy = 3 dx 5y2 1) x³ + 4x/y

A: B) 1 Given: x3+4xy-5y2x=3 To find: dydx

Q: For the function y = f(x) = 2x + 0: df at x da a. Find f'(-4) = Eind a formula for E-12) 4.

A: Given that: f(x)=2x3+0:

Q: Q1: - Find 2 of the following functions dx 2y = (z+)(z-+ 1)* a.

A: Since you have posted a multiple question according to guildlines I will solve first question(a)…

Q: Solve for the DE equation associated by the given function: у %3D Ае2* + Ве* + С. а.

A: the given solution of differential equation isy=Ae2x+Bex+C

Q: H.W: Estimate the root of the equation for the following equation using Secant Method: 1. x3 – 5x =…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: ind the antiderivative, G(t), of the function g(t) = (2n²t? – t*)v2n² – t2.

A:

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.