S COSA Sin 2X. C dx

Q: 3. Use Green's Theorem to find the area of the region enclosed by one arch of the cycloid x = t -…

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A: As per our guidelines, we can answer only three sub-parts in a single request. Kindly re-post the…

Q: Find the indefinite integral. (Use C for the constant of integration.) 1₁ sin 20 de

A: This question is based on indefinite integral.

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Q: dx S x² √√16-(x-3)² Let x 3 = 4sec 0 dx = 4 sec 0 tan 0 de Is the solution on the right track? If…

A: We have to find the integral.

Q: Use the formula k(t) k(t) = ||r′(t) × r"(t)|| ||r' (t)||³ to find k(t). r(t) = 7 cos(8t)i + 7…

A: Value of r'(t) , r''(t) are evaluated.

Q: Use the method of disks/rings to determine the volume of the solid obtained by rotating the region…

A: Solving

Q: Find all values of x For w/c the graph of f lies above the graph g. f(x) = 49* ; g(x) = 2/1/1/1

A: First graph both function÷ y=49x

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Q: x1/2 dx x3/4 + 1 Let x = z8 dx = 8z7dz Is the substitution the most appropriate one? Explain your…

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Q: dx 1+√x-2

A: We have to solve  ∫dx1 + x-23.

Q: f(x) = { 2x + 1 10 - x x < 3 x ≥ 3; a = 3:

A: Here we have to find the limit at x=3.

Q: Let f(x)=x²-x²-1 and Xo = 1. To the nearest three decimal places, find X5 using Newton's method of…

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Q: and the limit. OTE: Enter the answer using round brackets. m t² +9 1 +0o 8t2 +9' 4t = (?, ?)

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

Q: Q-2- A Particle moves in a straight line so that after t sec. it is Sm. from a fixed Point O on the…

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Q: Solve the following X 1.0[₁-2x] i. D ii. D[xln (2x) ] iii. D[cosx – 3 sin (2 x) ]

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Q: 3. In evaluating the integral S fractions. Let x² dx (x-1)²(x²+1)' you will decompose x² dx…

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Q: xy + 1 lim (x, y)→(1, −1) x² − y²

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Q: One historic earthquake had magnitude of 8.9 on the Riteter scale. How that had a magnitude of 8.5?…

A: Given:       If I1 and I2 are two intensities, then we are required to find I1I2. To relate this to…

Q: Quiz 2.2- Integration by Substitution Evaluate the following and post your answers in the g.…

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Q: a.) Get an expression for an b.) Evaluate S50 c.) Find n such that Sn = -950 -2, -5, -8, -11,.

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Q: Use the graph on the right to answer the following questions. 35 304 a Estimate the pressure at…

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Q: Using trigonometric substitution to evaluate:, find dx * √x + √2-x² dx, O 3 cosø dø O 3sec^2 Ø dø O…

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Q: Find T(t) and N(t) at the given point. r(t) = 6 cos(t)i + 6 sin(t)j + tk; t = T() 6 37 0, √/3 X N…

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Q: A Ferris wheel at a carnival has a radius of 27 feet. Suppose a passenger is traveling at 9 miles…

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Q: compute the area of the surface formed when f(x) = x3 between 1 and 3 is rotated around the x axis

A: Solving

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Q: Find the exact area under the graph of f(x)=1 between r=0 and r = 2. Area =

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Q: A toy racecar moves along a circular race track with a radius 2.6 feet long. The car starts at the…

A: Let's find.

Q: [2 2x³ (x² − 1)² – dx|

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Q: Describe the graph of the equation. r = − 17i + tj + (t²-1) k It is a parabola in the x = It is a…

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Q: Sketch the region enclosed by the curves à - 5 = 4y and x − 21 = (y — 4)², and compute its area.

A: x-5=4y⇒x=4y+5     x-21=(y-4)2 ⇒x=(y-4)2+21 Area between the curves…

Q: = ||r' (t) x r"(t)|| ||r' (t)||³ to find k(t). r(t) = 11 cos(t)i + 11 sin(t)j + 6tk Use the formula…

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Q: Find the volume of the solid whose base is the semicircle y = √9 - x² where -3 ≤ x ≤ 3, and the…

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Q: Change from rectangular to spherical coordinates. (a) (4, 4, 0) (p, 0₁ g) = (b) (12, -4√3, 8) (p, 0,…

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

A: Here we have to find the indefinite integral.

Q: Identify and sketch the graph of the equation in R³. x = 1 − log₂ y

A: This is a problem related to graphing the function. Based on the general formula and concept we will…

Q: 27. Show that the tangent at any point 0 on the curve x = csec 0, y = c tan is y sin 0=x-c cos 0.

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. If it…

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Q: Solve the following differential equations 1. (D^2 - 3D +2) y = 2e^-x + 8 2. (D^2 - 4) y = 8e^2x -…

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Q: ep 1 Begin by rewriting the integral into the following form. 1 1= du/dx u x² + 8x + 5 x³ + 12x² +…

A: To integrate..

Q: Select the choice that makes each statement true. x²+x-6 X-2 [Select] x +3 x²+x-6 lim X-2 X-2…

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Q: Using trigonometric substitution to evaluate: The first thing we'll need to do here is complete the…

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Q: dx 6x + x² V

A: To integrate by using the trigonometric substitution.

Q: Find for x³+y³ = 2. -4x O O (E) None of these ○ 3x² + 3y² = 0 2x *(*_*) O

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Q: Question 20 Find the derivative of y = log₂ (x - 2)³ 1/(In2)(x-2) 3/(In2)(x-2) 2/(In3)(x-2)…

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Q: 1. A bumblebee was released and started to travel along a straight horizontal line. The directed…

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