Solve using trigo substitution

Q: Convert the following parametric curve into Cartesian form: z = 4 sin t, y = 5 sint O None of these.…

A: To convert the parametric equation into Cartesian equation.

Q: g(z) = r2 +1

A: answer is in next step

Q: Complete the table (x) $'(x) f'(x) = 12 e3x f(x)

A: Here, to complete the given table.

Q: Evaluate the integral sin x dx (2 + 3 cos x)2

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Q: Short Answer dr = Inr+c. a) True or False? Please explain your answer. b) c) = ? dz d) What does…

A: Given problems:-

Q: Consider the function f(x) = 6x? – 10x + 8, 0 < x < 9. The absolute maximum of f(x) (on the given…

A: Explained below

Q: ner to integrate with respect to x or y. Draw a typical approximating rectangle. y -10 - 10 -5 5 10

A: We have to choose the correct option from the given options according to the given information

Q: Find the slope of the tangent line to the curve - 42? – zy + y - 4 at the point (– 2, 2).

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Q: Sketch the region enclosed by y = e*", y = e", and x = 1. Find the area of the region.

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Q: Evaluate the following integral: n(x' dæ = 因团 +C (Note, an arbitrary constant of integration has…

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Q: A mold grows at a rate that is proportional to the amount present. Initially there is 5 oz of mold,…

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Q: 5. (r' -12r +43r? - 41r +5)÷(r –5)

A: Given query is to perform long division.

Q: Evaluate the following integral: (Note that the constant of integration has been added for you.) | =…

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Q: rst choose the method you propose to use: O Apply Stokes theorem n arametrize th e surface and work…

A: answer is in next step

Q: (2х — 8)dx 2 — 6х + 18

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Q: Determine whether the sequence is increasing, decreasing, or not monotonic. (Assume that n begins…

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Q: Evaluate the indefinite integral sin? v cos" vdv =

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Q: C is the semicircular curve drawn in the ground (the xy-plane) joining the points (0, - 2), (2, 0),…

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Q: Determine the indefinite integral | 5x4(x5-6)8 dx by substitution. (It is recommended that you check…

A: Let's find.

Q: EN tind an equation tor the line tangent to the Lurve at the point defined by the given t, Also find…

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Q: 6х3-5х2 +9х+15 Зx+2

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Q: Use long division of pol

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Q: | 3t³ (t² + 4)5dt

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Q: Evaluate the integral (Trigonometric Substitution) 4 x*dx (x² + 1)²

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Q: 14 of 19 Which of the following is a parameterization of the line that passes through the point (1,…

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Q: Given any second-order non-homogeneous differential equation, describe how you would decide between…

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Q: Set up the definite integral required to find the area of the region between the graph of y = 18 – a…

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Q: valuate the integral 3t3 (t2 + 4)5 dt

A: Given problem:- ∫ 3t3(t2+4)5 dt

Q: The graphs of the functions f and g are shown below. If u(x) = f(g(x)), find u (4). 3. 2- 2. 3.…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated lis f(0) = 6sec…

A: We have to find out theta

Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) X - 2 2- a. Find lim f(x) or…

A: Given query is to find the Indicated limit.

Q: Evaluate the integral (2х + 6)dx х2 — 2х + 17

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Q: omplete the table for the radioactive isotope. (Round your answer to 2 decimal places.) Half-life…

A: We have to find out the amount

Q: Carbon dating presumes that, as long as a plant or animal is alive, the proportion of its carbon…

A: Given; A=Ao e^(-0.0001213)

Q: Use l'Hospital's Rule to calculate the exact value of the limit ) as x→ 0- Az) fX) = e -1 and g(x) =…

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Q: y²dx + (xy – 1)dy = 0

A: First of we will check whether given DE is exact or not

Q: Jse one of the formulas below to find the area under one arch of the cycloid x = t – sin(t), y = 1 –…

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Q: Find the derivative of y = 4x 2 Be sure to include parentheses around the arguments of any…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 51. y= 2x - 3x3

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Q: Sx2 In x dx X

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Q: Evaluate the integral (Trigonometric Substitution) x*dx (x² + 1)²

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Q: a cost i 6. Find the moving trihedral and the curvature of R(t) a sin 2t k OE

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Q: A hot pie is taken directly from an oven and placed outdoors on a porch table to cool on a day when…

A: Solved below.

Q: 2x2 tan z If f(x) = find sec z f (x) = Find f (5)=

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Q: 3. COSX + sin x +1 dx 2 cos?x (sin?x+1)

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Q: Siven that y = f(x) passes through (2, 1) and f'(x) = 3x² - 5x, find f(x). %3D

A: Given query is to find the function

Q: Assume the acceleration of the object is att)--9.8 meters per second. (Neçlect air resistance.) With…

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Q: (a) Evaluate the double integral. бу 4x5 + 1 dA, D = {(x, y) |0sys 1, vỹ s xs 1} (b) Evaluate the…

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Q: A(8, 3,8), B(9, 8,33), C(9, 5,12), D(9, 7,24) are four points in R3. Let E be the parallelepiped…

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Q: 5. A squirrel runs along the edge of a fence. The graph of the squirrelľ's velocity v(t), in m/sec,…

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