Use the equation (x-6)(x+7)/(x+3)(x+4)(x+7) for the following a) what does f(x) approach as x moves towards negative infinity b) what does f(x) approach as x moves towards positiveinfinity

Q: Find a root of an equation f(x)=2x3-2x-5 using False Position method (regula falsi method).

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Q: b.) Find the root of f(x) = 2x³-5x+2 using Method of successive substitution. (Allowable error <…

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Q: Find a root of an equation f(x) = (2x^3) -2x-5 using False Position method (regula falsi method).

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Q: 9x+4 f (æ) 5x²–8

A: Given function is fx=-9x+45x2-8. To differentiate the function using quotient rule. Solution:…

Q: Use the IVT to prove that r-5x2 + 2x = -1 has a solution. %3D

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Q: Find f(2) when (z) – 3x² - 5x

A: To find f(2) put value of x = 2 in given expression.

Q: What is the value of x in ax- bx +3a - 3b = 0? %3D

A: Compare the coefficient of a and b .

Q: Show that 22x-1 Г(2x) - r(x) r

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Q: Explain the other notation which is commonly used for ak in the Newton form of the interpolating…

A: The Newton interpolation polynomial are calculated as: \

Q: Use Cramer’s rule to solve x1 + 2x2 + x3 = 5 2x1 + 2x2 + x3 = 6 x1 + 2x2 + 3x3 = 9

A: Given,x1 + 2x2 + x3 = 52x1 + 2x2 + x3 = 6x1 + 2x2 + 3x3 = 9We have to use cramer's rule to solve…

Q: Determine the roots of the function f(x) = (5²x – 6)² – (5²× – 6) – 12. - -

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Q: hat 6.x 7x - r+ 2 = (x - 1)(ax + bx + c) -

A: 14)  Given equation is 6x3-7x2-x+2=x-1ax2+bx+c Evaluate this…

Q: 30х3 + 31г? — 25х — 6 - Find the domain of f(x) = 123 59x2 – 11x + 30' -

A: Given :   f(x) = 30x3+31x2-25x-612x3-59x2-11x+30   To find : The domain of f(x).

Q: EXercises X72 IsContinuous at x-22 4. -2X X-2

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Q: Use Cramer's rule find yhe solution of x1: 2x1+X2-3x3=0 4x1+5x2+X3=8 -2x1-x+4x3=2

A: write the matrix D from the given equations  D=21-3451-2-14 calculate the determinant D…

Q: 2 If f(x) = x+ 8x + 12 and g(x) = x + 6x + 8 then (2) (Make sure your answer is fully simplified %3D…

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Q: What rule should be used in deriving h(x) = 2(x^2 - 4)^3 * %3D Chain rule Quotient rule

A: Power rule of differentiation  ddxxn=nxn-1

Q: Prove that the equation 3x² – 3x + 2 = 0 has a solution on interval [0; 1].

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Q: 4. Differentiate using first principles. f (x) = -3x² + 4x + 6

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Q: For Theorem 2.8 and it corollary give a simplified and short example in order to explain it very…

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Q: Evaluate intergral  (ax)/(x2-bx) where a and b are constants

A: The given integral is ∫axx2-bxdx.

Q: The real part of sech (2-j3) is -3.7245 -3.5906 O 0.0403 O -0.0106 -0.5309 1.0357

A: The Euler's formula is widely used formula in complex analysis. It makes a bridge between the…

Q: can you find f(3) ?

A: Given graph of a function f(x).

Q: Is x =0 in the domain of gex) - x3-4x

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Q: Find the zeros of f(x) = x3 + 2x²- 2x+24 %3D How do we know what number to use?!?

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Q: 5 Find the domain of y = Vlx + 5| – |x – 3| + - - Vx2-9

A: Given function :

Q: Show that f(x) = x5 +2x4-6x3+2x-3 has a solution between 1 and 2. Use the intermediate Value…

A: The equation given to us is  f(x) = x5 +2x4-6x3+2x-3

Q: Investigate the based on linearization 3 x = x₁ - x₁²³²+x₂z xr 394 - 292 6 Ac

A: This is a question of equilibrium and stability.

Q: maximise x1 + 2x2 subject to -x1 + 2x2 < 6, x1 + 3x2 < 12, X1, X2 20

A: Linear programming, graphical method

Q: Prove that x -2x+2>0 for value of x.

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Q: 4. In x2 -4x + 4 - b2 = 0, find the value of x. %3D

A: Topic:- algebra

Q: Use Cramer's Rule to solve for x2. xi + 2x2 +x3 = 2 3x1 – x2 - 2x3 = 7 X2 +x3 = -1

A: Here we have given one matrix and we have to find the value of x2 by using the Cremer’s rule.   Now…

Q: B. Qurfient Rule ) f x)= x² 3x²

A: fx=x3-3x2x

Q: Calculate GCD(x3 + 2x2 + 3x , x2 + 3x + 2) in Z5 [x]. What is wrong with my answer? The correct…

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Q: I. Find the value of X3 Using cramer's rule. Show your work *」+ 3xzt =ス Xit2X2=3

A: The objective is to find the value of x3

Q: Date ! الموافق find the equatlon F(X) 4x + 6 X- 6x -5 ab 2 2 F(X)_4x?

A: The given function is:f(x)=4x2+6x2-6x-5To find the equation of tangent line at x=-6

Q: What is the end behavior of a polynomial function of degree 7 with leading coefficient -2?

A: Given: The polynomial function have a degree 7 and leading coefficient is -2. Concept used: The end…

Q: 2. Find a polynomial that interpolates (-1,4) and (3,6), then find the value of f(x) at x=0 and x=…

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Q: Find the 3rd term of (x + 2)³.

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Q: what is f(x) = 5x + 7 and the domain is { 0, 2, 6 }

A: The given function is,                     f(x) = 5x + 7 Domain is given as, {0, 2, 6) , we want to…

Q: f (2) 2. Find if Ar) -(1-x²)(* -1) =

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Q: Use thế # 1) f(x) = 8x3 - 24x2 + 18x + 6 # 2

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Q: Eliminate the arbitrary constants of: x^2=Axy+By

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Q: Derive and use 4 step-rule Show your solution in two questions: = ( x + 5 \2 2 x¯+ 2 g(x) and y =…

A: Derive above function with respect to x

Q: 11. F = (3x2 - 3x)i + 3zj + k

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Q: 2/ Find domain of y = x2-7x+10 x2–3x-5

A: on solving this we get

Q: Use Chain rule; Differentiate  =x^2(x-1)^3(2x-5)^2

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.