please show the indeterminate form and solve it by ( L'hopital's rule )

Q: find the genecol solution of Cauchy EuLer equation

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Q: Calculate limit of (square root of x^3-1)-x^2 as x approach to positive infinity. Thank you!

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Q: 7-8e2x lim x→→∞ 12e²x+28

A: To find the limit.

Q: a. e-* – 3logx = 0

A: We have fx=e-x-3logx=0 Now, let us check at some points.  At x=1: f1=e-1-3log1=0.3679>0 At x=2:…

Q: 3. Find x by using special right triangle rule.

A: Our Aim is to find the value of x in the given right triangle.

Q: Boundany condition

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Use pythagorean theorem to solve for x.

A: Given   To find value for x by pythagoras theorem

Q: Solve: In(x + 2) – In(4x + 3) = In %3D

A: Given equation is lnx+2-ln4x+3=ln1x.

Q: We use the BISECTION METHOD to find the root of this nonlinear functional e = sin(x) +x². x' In(x)…

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Q: Discuss the method of False position to find an approximate root of an equation f(x) = 0. %3D

A: We have to describe the method of false position.

Q: +(= Sin3x-5x+ 12 %3D

A: MOSS :- Method of Successive Substitution   Given function is fx =sin3x -5x +12

Q: Use linear approximation to estimate sqrt(9999)

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Q: How to solve linear Diophanfine equation

A: See the attachment

Q: Find the Limit (sin3x)/(5x^3-4x)

A: Obtain the limit value as follows.

Q: solve using L'Hopital's Rule 4. Lim    [ (sqrt root of 2+x2) / x ] π   x->∞

A: To find: The limit of limx→∞2+x2xπ. Calculation: The limit of limx→∞2+x2xπ apply L'Hospital rule.…

Q: Find the possible values of x in |coshx -sinhx| = 2 Isinhx coshx

A: Given,           coshx-sinhxsinhxcoshx=2

Q: ved by "the quadratic formula". Be sure to show your work accordingly.

A: We have to choose the correct answer from the given options

Q: Usin IVT how do you show this equation has a root. On the interval (0,2)

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Q: lim +y

A: We find limit of given function

Q: 3) Use the Intermediate Value Theorur to show that there ís a root of the equation Make sure you…

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Q: Securt/tamun Solve for x.

A: Secant Tangent Theorem A tangent segment and a secant segment are drawn to a circle from an exterior…

Q: You are not allowed to use L'Hospital's Rule 2x2 – 32 - lim V3x + 4

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Q: 32x4-5x+11 lim x-∞0 4x3-12x4

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Q: Show that the equation sinx - 3x +1 = 0 has exactly one real root. Tips: Use the Intermediate Value…

A: Introduction: Intermediate value property is a very important property that is shown by a continuous…

Q: f(x) — е -*(х2 -5х + 2) *(x²

A: Regula-Falsi method also known as the false position method uses the following formula to perform…

Q: Write some real life applications on limit

A: For instance, measuring the temperature of an ice cube sunk in a warm glass of water is a limit.…

Q: Use Newton-Raphson method to find the required root. Find the largest root of x* – 4x³ + x² + 1.2 =…

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Q: find how [sec(x)]=secxtanx

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Q: Show that the equation has exactly one real root.   2x -1 - sinx  = 0

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Q: f(x) = xe-* хе – sin²x

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Q: 2.. lim ay

A: We find limit of given function

Q: Find the exact value of the expression. sin-(- v3/2)

A: GivenSin-1-32By simplification we get that-Sin-132=-arcsin32 Now look the below table  x…

Q: Prove that Lim

A: The objective is to prove that  limn→∞12n2+1+12n2+2+…+12n2+n=12

Q: Use Simpsons 1/3 rule to find sinx

A: Please refer to the image below

Q: I've asked this question more than once because this cannot be right. Tangent30=-6.4 and 1/square…

A: Here the angle is in degrees. tan(30)=-6.4 is when it is 30 radians But tan(30o)=0.577

Q: In x 35. lim

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Q: Find a quadratic function with a root at X 5i that also includes the point (2, 14).

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Q: 2x-√5+4x lim x→6 x-3

A: The given limit is limx→62x-5+4xx-3

Q: Explain theorem of Wronskians of Solutions?

A: To Find : Define the Theorem of Wronskians of solution

Q: Use Newton’s method to find thezeros of ƒ(x) = 4x4 - 4x2 using the given starting values. x0 = -2…

A: Given:                   f(x)=4x4-4x2   Using the starting value :…

Q: Use Residue theorem to evaluate dx -- x2- 8x + 17 00

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Q: What is the square root of 3x+6dx with the upper limit of 1 and lower limit of 0?

A: To evaluate the given definite Integral

Q: Please show exact work on how to solve this.

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Q: A func tion ƒ is given. sin 4x f(x) 2x Graph f in an appropriate viewing rectangle.

A: A function f(x)=sin4x2x. We have to graph this function in an appropriate viewing rectangle.

Q: Solve using Guass Jordan method

A: I am assuming you know the algorithm of this method and have problem with some steps in between. I…

Q: Explain the process of extracting roots which are not perfect square

A: We can use Shri Dharacharya method to find the roots of any quadratic equation.

Q: Find the root/s using 1) Secant Method and 2) Regula-falsi Method a. e-* - 3logx = 0 %3D

A: According to our guidelines, we can answer only the first question or three subparts of a problem,…

Q: Use Newton Raphson Method to obtain a real root of x^3-5x+1=0 with x₀=0 until absolute error

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Q: Find the root between [-1,0] where f (x) = (x+2)³ +2x– 5 with error epsilon=0.1 by using False…

A: The false position method uses the formula below to perform the iterations.…