1. tan(8) cos(8)

Q: (2) elnx = x (1) sin-1x = V1-x2 (1) ax A- Show that : cos x (2) lim x- cosx (2) (1) limx-0 В- Find :

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Q: 6 The points P and Q have position vectors, relative to the origin O, given by OP = 7i + 7j – 5k and...

A: (i) Given that: OP→=7i+7j-5k and OQ→=-5i+j+k. It means: P=7,7,-5 and Q=-5,1,1. The midpoint of PQ is...

Q: yi + yi = 1, when x = 0, y = 4 %3D

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Q: 5. S(5 -5°dx

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Q: A. Determine the derivative of the following using the Four-Step Rule 1. f (г) — 5x — 4 2. f (x) = 4...

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Q: E. y = xArctanx - In V1+x

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Q: Find the indefinie intgrel wite 5 sec (2x) tan (2x) dx

A: Topic = Integration

Q: 2+x 9 y = Arctan(- 1-2x

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Q: 1 1 9. dx I (# – 1)(x² + 4x + 5) In |x – 1|+ 10 In a? + 4x + 5| - 20 13 arctan(x + 2) +c 10

A: First we use partial fraction decomposition and then evaluate the integral.

Q: 221 writc a formnla for the function y =f cx) whose is shown fig: 2.

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Q: Concentration of a Gas and Global Temperature The scatter plot gives the average atmospheric concent...

A: Given that the scatter plot gives the average atmospheric concentration of a gas and average global ...

Q: Find the volume of the pyramid with base in the plane z = -1 and sides formed by the three planes y ...

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Q: X X sin². sin? - cos' ,dx CoS 2 2 2.

A: x2=u → dx=2 duI=2 ∫ sin2u cos7u duI=2 ∫ sin2u cos u cos6u duI=2 ∫ -sin2u cos u (sin2u-1)3 dusin u =v...

Q: Find dw/dt using the appropriate Chain Rule. Function Value t = 0 w = x sin y x = et, y = n - t dw d...

A: Given query is to find the indicated derivative.

Q: 1. Sand is being poured into a conical pile in such a way that the height is always one-third of the...

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Q: 8. Using (4.6), find the polynomial P2(x) that interpolates the following data. In each case, simpli...

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Q: 4. Verify. COSX 1+sinx = 2secx %D а. 1+sinx COSX b. cosx(1+ tanx)² = secx + 2sinx %3D

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Q: a) Show that f(x) = |5x+6| is continuous everywhere. (One point in particular is important to check)...

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Q: 2) Find tue indefinite inpegrel W V 2w +5 dw

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Q: Given cost and price (demand) functions C(g) = 120g + 44,000 and p(g) = - 2.1g + 890, what price max...

A: Given query is to find the price for maximum revenue.

Q: 5. y = xArctanx - In V1+x²

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Q: 4x 1. Зу': y? %3D

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Q: 8. f(x) = (2x - 3)(6x – 2)10

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Q: Evaluate the following integrals (x2 — х)2 dx 1. x3

A: To evaluate: ∫(x2-x)2x3dx

Q: y' + 3y = 5e2x – 6; y(0) = 2

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: omplete the following tables. HI5 I-3 2-6r +9 H-3 2-6r+9 2.5 3.5 2.8 3.2 2.9 3.1 2.99 3.01 2.999 3.0...

A: Let's find. 

Q: KIDAPAWAN CITY CA sin a = 1 to obtain the limit of the following: II. Apply lim a-0 a sin5x 1. lim x...

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Q: Give the Maclaurin series expansion of f(x) = ln(3 – 2x). Determine its interval of convergence. App...

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Q: Determine the convergence or divergence of the following series. 1 (a) ► (Use Integral Test.) n(In n...

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: Given cost and price (demand) functions C(q) = 110q + 44,200 and p(g) = - 1.9q + 890, what is the ma...

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Q: Consider the following. w = xy2 + x?z + yz?, x = t2, y = 6t, z = 6 (a) Find dw/dt using the appropri...

A: Here, the given functions are: w=xy2+x2z+yz2, x=t2,y=6t,z=6

Q: 2 dx tan x(5+ln sin x)

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Q: A particle moves along the x-axis so that at time t 0 its velocity is given by v(t) = 3t2 – 60t. Det...

A: v(t)=3t2-60t,    t≥0the particle is moving to the right whenv(t)>03t2-60t>03t(t-20)>0

Q: -6 -5 4 The plot above is created with the parametric equations S¤(t) = a cos(bt) y(t) = c sin(dt) T...

A: Solve the following

Q: 1/2 dx r2)2

A: Given problem:-

Q: SHOW YOUR SOLUTIONS. I. Eliminate the arbitrary constants. 5. (x – a)² + y² = a²

A: Given :   (x-a)2+y2=a2

Q: Choose from these statements. The proof starements in correct order. Let (2, y) satisfy R and (y, z)...

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Q: O Find a general salution answ r リーx- C-X

A: The given differential equation is: xy'=12y2+y which can be written as: y'=12xy2+yx⇒y'-yx=12xy2 whic...

Q: Find the largest possible area of a rectangle that be found in a circle whose diameter is (4).

A: The largest possible are of a rectangle that be found in a circle whose diameter is 4.

Q: Question 6 P Consider a room in the shape of a 4 m cube, 4 meters on each side. A bug at point P wan...

A: Given problem:-

Q: What’s the derivative ? f(x) = xe^-x3

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Q: Consider

A: Please refer to the image below

Q: What is the equation of the tangent line to the function f(x) = a? + 5x at the point (1, 6)?

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Q: If the power of the cosine is odd and positive Convert the remaining factors into cosines Convert th...

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Q: Solve the differential equation y - X) - + sin + sin (* y'

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Q: - y = (2x² – 4x + 1)60

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: A stone is thrown straight up from the roof of an 80-ft building. The distance (in feet) of the ston...

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Q: 4- x Find the equation of the tangent line tof-l at the point P (G, 1) for f(x) = x+1 Provide your a...

A: Topic:- application of derivatives

Q: (-1)n+l2nx" n2 + 3 Determine the interval of convergence of n=1

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Q: 3. Solve the following equations over all real num V2 sin(-x) + 1 = 0 a. |

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