Express O in each figure in terms of x. (a) = (b) 4

Q: . What is the coefficient of a" in (2 – x)"?

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Q: Find e if Z.! -2-2i

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Q: Find the derivative

A: Given function is  By using the properties of log  log(m)-log(n)=log(m/n) and log (m^n)=nlog(m), we…

Q: 2. Let h(x) = |9 – x²].

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Q: Show A-B graphically and calculate A-B algebraically?

A: The difference of u→-v→ as a sum u→ + (-v→).                                u→ = -5,2  v→ = 6,-5…

Q: Write the following in x + iy form: i -2 - i

A: We need to express the term is the form of x+iy

Q: Solve for A. ЗА t3D A =|

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Q: Find the value of a so that V1-x² O 1 2 O 3 2

A: SOLUTION-

Q: Determine the values of h (1) and h(0) if it exists.

A: The given function is as follows.

Q: For ƒ(x) = sin x, find ƒ"(x), ƒ″(x), ƒ‴(x), and ƒ(4)(x). What is ƒ(4n)(x) when n is a nonnegative…

A: Given  f(x)= sinx Lets take first derivative f'(x)= cos(x)f''(x)= -sin (x)f'''(x)=…

Q: solve the following ODE. d²y + 4y = 8cos2x dx²

A: The auxiliary equation is  D2+4=0D2=-4D=±-4=±2i this is of the type α±βx where α=0, β=2 therefore,…

Q: If x is any real number, then cosh x Σ n=0 n! + 198 Σ n=0 (-x)" n!

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Q: Find a point c satisfying the conclusion of the MVT for the function y(x) 4x2/3 %3D on the interval…

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Q: 0, use th K M

A: Find your ans below

Q: x" – x" + 4x' - 4x = 20Cos(21) x(t) = ? =>

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Q: Given the explicit formula, find the first 5 terms. f(n) = 3"-1 %3D

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Q: Find the value of x in the given figure. 2x + 22 4x-2 3x+3

A: Given,           A triangle is shown below :

Q: -a = Y express L and K as expressions of

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Q: Solve the ODE  y'=-2xy2

A: Solve the ODE  y'=-2xy2

Q: Find a closed-form formula for f(n)=...) k+1 II₁¹. (Write your answer in the form of: k

A: We will use definition of product notation to find closed form of given product form.

Q: Derive a formula for fx* In x dxwhere a.) n+ -1 b.) n = -1

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Q: of t/4 for x. (If an answer is undefined, enter UNDEFINED.)

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Q: nd all values of z for which zª + 2 – i2/3 = 0 and represent them geometrically. |

A: To solve the given equation by using D'Moivre theorem we find the point. The 4 value of z satisfy…

Q: Find the value of x in the given figure. 2x + 22 4x-2 3x +3

A: Find value of x

Q: Solve for x in √x + x^√x =18

A: Given, x+xx=18 we have to solve it for the value of x.

Q: Find AC B T. 4

A: Apply the property of the triangle then find the value of the AC

Q: EX8-HiW)lot X Xa G x+B) and r92=X++X2 Show that yz indep? X十メ2

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Q: II. Identify the theorem used in each figure. B 1. A C 2. F 3. K H 4. D

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Q: If m*n Denofes -3伝 + Find the 2mn?

A: Given that m*n=2m-n2 therefore -3*5=2-3-52

Q: find a re: 1ons.

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Q: Use f(x) = 2x – 4 and g(x) = 5 – x² to evaluate the expression. (a) (fon(-1) (b) (gº g)(-1)

A: given: f(x)=2x-4 g(x)=5-x2 a) (fof)(-1) b)(gog)(-1) f(x)=3x-4 g(x)=2-x2 a) f(g(0)) b) g(f(0))

Q: Express x = In(t), y = 8 – 3t in the form y = f(x). (Use symbolic notation and fractions where…

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Q: For any natural number m, evaluate 1/m +x")( 3m 2m 2m +x 2x +3x" +6)"* dx, x > 0. m X

A: Topic:- Integration

Q: x² + 6x – 1

A: We have to express  x2+6x-1 in the form (x-m)2+n.

Q: ow that the equation 3sin (2x) =7x+5 has exactly one real root.

A: Given:3sin2x=7x+5

Q: m(x)=3e^2x-4, find a formula for m^-1(x). Show all work using proper notation throughout.

A: We first replace m(x) by y and then switch x and y

Q: Find the coefficient of x in (1+x'+x°).

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Q: Find all values of æ for which rank(A) = 2.

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Q: Find the value of x in the given figure. 2x+ 22 4x-2 3x+3

A: As per property of triangles,Sides opposite to equal angles are also equal.

Q: Q4/ If A = 3 - l: prove A-A-5I = 0

A: Given that: A=213-1

Q: Express the equation in exponential form. (a) In(3) = 5y (b) In(t + 7) = -1

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Q: ne order suc e of [det(A²I

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Q: Find the value of c such that enc=14 n=0 Enter an exact value BD

A: Given :∑n=0∞enc=14

Q: s+1 Find

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Q: Express 3x, xπ, and xsin x using the base e.

A: Our Aim is to express the following function using the base e given below:-(i) 3x(ii) xπ(iii) xsin x

Q: Solve for x. (Enter your answers as a comma-separated list.) In(x) + In(x + 8) = 0 X =

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Q: For f(x) = 4x + 12x, find the number c in (-4, 1) guaranteed by Rolle's Theorem. %3D (Use symbolic…

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