n f (x) = 6x² – 5x - 6 and g (x) = 2x + 8, find (g %3D - А. — 61 - В. 61

Q: v5-x dx

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Q: Let i denote the square root of – 1. For the two complex numbers z = 3e# and w = 6e'† find z. w.…

A: We have to find the multiplication of complex numbers.

Q: Let f(æ) = (4sin æ + 2 cos a)arctan e f' (2) =

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Q: Find the angle between two vectors a = (3,4, 0) and b = (4,4, 2). cos-l(규) b. cos-() cos-(금) d.…

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Q: 7 х2 + Зx + 3

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Q: 3 cSC x cot x dx

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Q: Using binomial expansion, write down the first three terms of the expression below, starting with…

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Q: ^2/sin^2(2x-6) = -1 since sinx/x =1? then limit is like x^

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Q: (e) e3の+2 = 5 In in 3a¥ス= Ins Correc

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Q: there is a typo on the first solution -6+3 is supposed to be -3 right?

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Q: 4In(Arctan x) = 1-y

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Q: A corporation manufactures candles at two locations. The cost of producing x1 units at location 1 is…

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Q: Could you help me with part b) also please?

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Q: ind the indefinite integral using the formulas from Theorem 5.25. (Use C for the constant of in 5 dx…

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Q: Prove that f(x) = (x – 1)2 + (x + 1)² is an even function. A function k(x) is an even function if…

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Q: 4. Evaluate the following integrals: (a) S (2x³ – x² + 3) dx - (b) S x*Vx5 – 1 dx S ds (c) S V2s+3

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Q: 2. Evaluate ((x +3)° 3x²dx. A) x* +3)* + C B) + 3)* +c D) * + 3}° +C a

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Q: There are two lines through the point (−1, 3) that are tangent to the curve x^2 + 4y^2 − 4x − 8y + 3…

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Q: can you write it on paper, I don't understand it like that

A: We have the solution as follows:

Q: 1. Find the volume of the solid generated by revolving about the indicated axis the area bounded by…

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Q: イナ dx メーよ

A: Given :∫12x+1x-5dx

Q: If the characteristic equation of the differential equation y"+2y'-3y = 0 is m² + 2m – 3 = 0, then…

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Q: Тапх-x 1) lim x-0 x-Sinx

A: We are asked to find the limit of the function

Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

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Q: Where did you get 30 and 60 from?

A: Given

Q: b) Performing the substitution yields the integral c) Once we integrate and substitute, the final…

A: We can solve this as follows:

Q: (yt + y)dy + ty dt = 0.

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Q: What are the first three non-zero terms in the Maclaurin Series of f(x) = e* sin(x)? a. x+++-- + ..…

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Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQUATION 1. (D^3 – 3D^2 – D + 3)y = 0

A: The given differential equation is: D3-3D2-D+3y=0 So, the auxiliary equation is: m3-3m2-m+3=0

Q: dx S. 2x - 1 e

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Q: x sin¬1 x² dx

A: To find out the integration.

Q: Convert to a rectangular coordinate. 5T – 4, 10. -

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 6. y = c,eaxcosbx + Czeaxsinbx and a and b are

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Q: A rocket is being launched. After a while, it rises at a constant velocity of 40 miles per second.…

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Q: Show that the particular solution of the differential equation dy 5dy + 6y = 12(x+e") dx dx dy is y…

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Q: please use the method of Miscellaneous Substitution

A: Here  We will use miscellaneous Substitution instead of partial fraction.

Q: Step 1 Given :x+ y = e2x + 2y -> Step 2 X + y = = e2x +2y di f ferenciate wrt x thenl - %3D

A: Let's find.

Q: ) y( 3x*- xy - 7)d -x ( xy ty- 2x) dgy = 0

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Q: (5) Suppose m and bare constants. What is the linearization of the function f(x) = mx +b at any…

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Q: FEx) = 1+e siny x fCx) f'ca) = fco) = - fくb) = fCl-2) = = -15 e sin4X- se"cos4X 8 LN %3D %3D %3D…

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Q: v Which among the following statements is a proposition? Do not apply for a petition in Math260 Test…

A: We have to find the statement that is proposition.

Q: ii. lim g(2) – 5 iii. lim g(x) 5 I--0 iv. g(0) — 5 v. lim g(x) →-17 vi. lim g(x) vii. lim g(x) PEN…

A: limx→a f(x) =L if and only if limx→a- f(x) =limx→a+ f(x) =L Note : As per our guidelines we can…

Q: Гесos 4x sin 4xdx eCo:

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Q: do you have a solutuon for this?

A: Definite integral property : If f(x) is continuous on a,b and a<c<b ,then              ∫ab…

Q: Question 2 Figure Q2 shows a rectangular enclosure formed by a straight wall AB and a fence CDEF of…

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Q: 1) Š(-1)"- n² 2" n=1 a) Show that the series is convergent.

A: We have to show that the series is convergent.

Q: x2 dx - 1

A: See the details solution in below

Q: dx 1-Cos r

A: The Given integral is 1/(1-cosx).

Q: 5. Given y = af(+ 1), Find when x=1 if f(2) = 4 and f'(2) = 5. dx

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Q: csc(cot r) + cos? x d.x sin? x

A: Use the method of substitution and solve the integration.