Evaluate A"(-1) in A(x)= x²-2x*+3x³-2x² +x.

Q: What is the value of f(2) for the polynomial x ^ 3 + 3x ^ 2 - x + 1 ? What does this mean about the…

A: Here, fx=x3+3x2-x+1

Q: Apply u-substitution

A: We have to find the integration using u-substitution: ∫4ln1xxdx Rewriting the integration using…

Q: derive X3  - 2x/ex

A: To find the derivative of x³-(2x/ex)

Q: Show that $) it gly) 1-y 2

A: Recall: The domain of a function is the set of all possible inputs from the function.

Q: Use Cramer's rule to solve: X1 - X2 = a1 x1 + bx2 = a2 -2 x1-X3 = a3.

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Q: 2Tan2(120°)+3sin2(150°)-cos2(180°)

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Q: xdx can be solved by either algebraic subsitution or integrataion by parts. X-1 A True False

A: We have to state whether the given statement is true or false and its reason is given.

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: Exampi r(x) = (/2x + 1 - x²)-1 %3D "(x) =

A: Given query is to find the derivative of the expression.

Q: In(x-1) 33 Differentiate with respect to x. 2x + 3

A:

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: Evaluate fx - sec2 (5 - z) dz.

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Q: then x-

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Q: Determine whether 8ory-- ∞ as メマ- co and x→。 2. y= -3x°-5x²+7

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Q: If X is a positive number such that : X² – 10X = 9VX Then X – VX = ?

A: given:x2-10x=9xsquaring both the sides:x4-20x3+100x2=81xwe get x=0, x=1, x=19±372.but for the…

Q: tion 20 +4)/2 = > aj,æ“ for || then 16a3 2 k-0

A: We have to find the value of the given condition

Q: Compute x -1 where x =i +1 2.

A: topic- complex numbers

Q: 3. Let fx) --2x (x² - 9)(x*-1) Determine

A: Please find attachment for the details solution

Q: Example 4. Differentiate with respect to 'x': 2 - 3x + 4 - X + x + 2

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

A: The given integral is ∫axx2-bxdx.

Q: Write a V ation of the line below. 8- 6- 2- -8-7 -6 -54 3-21 2345 6 -2- 4. -5. -6- CO

A: Given the graph of line:

Q: find the value of x in (1/(3x+1))+(1/(x+1))=(1/(3x+1)(x+1))

A:

Q: iv is analytic = -11..

A:

Q: How can i find a?

A:

Q: Suppose that x, y and z are three positive numbers whose sum is 100 If P denotes the product of the…

A: Given,           Suppose that x,y and z are three positive numbers whose sum is 100.           Also,…

Q: List all critical numbers  f(x)=8x^(1/3)-8x^(-2/3)

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Q: Suppose F(4) = - 1, - 1, %3D

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Q: Determine whether yy00 ory-y – ∞ as x-7-a∞ Ond x-7∞, 2 =x=-4x²-4x-8

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Q: 1. clx イーx2 -2 OF

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

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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: Find 4 of 3xy –- x³ = 5 at (1, 2)

A: Given; 3xy-x3=5 at (1,2)

Q: Express as a polynomial. (3u - 1)(u + 2) + 7u(u + 1)

A: Given expression: 3u-1u+2+7uu+1

Q: Determine the upper bound on the error in the approximation – 16x5 + 256x° if |x| < 0.2 - 1+16x4

A: Given:x1+16x4 ≈x-16x5 + 256x9

Q: How do you prove this?

A: Solution is in step 2

Q: 11 ,5 -2d*¨f -2 2 4df

A:

Q: Verify that Jp+1(x) + 2J½(x) – Jp-1(x) = 0

A: We have to prove given result:

Q: Express in the form a+ bi. -21

A: Our Aim is to express 51+2i-(i) in the form a+bi

Q: of th

A: Option B is correct.

Q: Show that: sec²x + csc²x = sec2x.csc2x %3D

A: To show: sec2x + cosec2x = sec2x·cosec2x

Q: Verify that Jp+1(x) + 2/½(x) –- Jp-1(x) = 0

A: Verify that, Jp+1x+2Jp'x-Jp-1x=0 The Bessel's function Jpx is defined as follows, Jpx=∑n=0∞ -1n…

Q: what is the multiplicity of -1 in x^4-2x^3-3x^2+4x+4

A:

Q: 5.Find h(-), if 4x* – 3x2 + 2x – 2.

A: Given: hx=4x4-3x2+2x-2

Q: Vx In xdx 1

A:

Q: What is the coefficient of x'y' when (x – 2y)² is expanded using the - Binomial Theorem?

A:

Q: 10. Determine the upper bound on the error in the approximation = x - 16x5 + 256x° if |x| < 0.2…

A: We need to find upper bound on the error.

Q: Sketch the nullcline for: x' = 4 - y2 + x2 Explain.

A:

Q: Compute x-x where x=i-2.

A: For the given value of x x =i-2  x3-x is evaluated as shown below