Find lim Sin 3x (1- Cosx) メーや。 メ*s X Sinzx cosx

Q: The equation of motion of a particle is s = 2 - 912 + 4t + 2, where s is in meters and t is in secon...

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Q: %3D 1 63 4 /x4 + 5Vx5 63 4 Vx +x* +Vx7 3 Option 3 Option 1 63 x* + Vx+ 3. 63 3 4 Vx4 + 5VX7 4 2Vx 3 ...

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Q: Given the function, f (x) = 5 +4 sin 2 select the correct word/number for the following statement. T...

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Q: Consider the following matrices 1 1 -2 [ 1 | A В - 4 -3 1 -3 1 4 -3 1 2 -3 2 -3 4 Determins which of...

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Q: Find the acceleration of the specified object. (Hint: Recall that if a variable is changing at a con...

A: Here, we have to find the acceleration of the boat. Acceleration is the rate of change of velocity w...

Q: (x) dæ + f(x) dæ - f(x) dx 2. can be written as a single integral in the form | f(x) dæ Determine a ...

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Q: Compute the surface area of revolution about the x-axis over the interval [0, 1] for y = e-9x. (Use ...

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Q: If 2 ak = 4 and E bk = 42, find the following values. k= 1 k= 1 n b Σ 38 Σ Σ E (ak + bx). E (ak - bk...

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Q: Evaluate the integral curves for the vector field F(x, y) =i -i .

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Q: Find the horizontal and vertical asymptotes of the curve. You may want to use a graphing calculator ...

A: A point x=a is said to be a vertical asymptote of a given function y=f(x) iff as x tends to a, y ten...

Q: Find general solution for the following linear differential equation: y' + 2ty = 4t.

A: Given that: y'+2ty=4t

Q: Lan® do In (cos0) 3.

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Q: (a) Estimate the area under the curve across the given domain with the "Trapezoidal Rule" using thre...

A: The integral to be evaluated using Trapezoidal rule is ∫x=-2x=+22x3+3x2-7x+3 dx. The trapezoidal rul...

Q: Find the partial sum S, for a geometric series such that a4 = 48, ag 1536, and n = :9. Sum =

A: Given that: a4=48a9=1536n=9

Q: The indicated function y1(x) is a solution of the given differential equation. Use red e-SP(x) dx Y2...

A: Please refer to the image below 

Q: y = x^2 + 2 and y =sin(x

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Q: Evaluate the following integral: 23: tanh 7tx dx

A: Given that: ∫tanh(7πx)dx

Q: Of an initial amount of 9000 g of lead-210, how much will remain in 120 years? Lead-210 decays at a ...

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Q: an equation of the plane that passes through the given point and is perpendicular to the Point Perpe...

A: Please refer to the image below

Q: Evaluate the following integrals using “Integration by Substitution”.

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Q: To evaluate: the integral function / sin tcos*t dt.

A: NOTE: Refresh your page if you can't see any equations. . use the formula 

Q: B. Find the slope of the curve at the given point. 1.) y = x? – 5 at (1, -4) 2.) y = 3x? – 4 at (0, ...

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Q: lim COos x –1 x→0 x² – x³

A: To evaluate the given limit.limx→0 cos x-1x2-x3

Q: a(t)=40t^3-10 Find the acceleration when the velocity is 0

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Q: Find the derivative of the function. g(x) = (1 + 5x)5(4 + x – x²)7 - g'(x)

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Q: Solve the separable equation using the integral factor  2xy + 6x + (x²-4)y¹ = 0

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Q: Example: Given the right triangle shown below with side lengths a = 5, b = 9, and c = V106 , find th...

A: Given:     a = 5     b = 9     c = √106

Q: Write the domain in interval notation. Write your answers as integers or simplified fractions if nec...

A: Given query is to find the domain of the function.

Q: 3. You have a choice between a base salary of $1800 per month or a base salary of $1600 plus a commi...

A: Given query is to find the amount of sale for which both salary option will be same.

Q: If f(x) = e*g(x), where g(0) = 1 and g'(0) = 4, find f '(0). %3D %3D

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Q: Stadium has 52,000 seats. Seats so for $28 in Section A, $24 in section B, and $20 in section C. The...

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Q: If h(x)= (-2+8x+8x^2) (7x+2x^6+7x^7) then h(x)=f(x)g(x) wher

A: Given that: h(x)=(-2+8x+8x2)(7x+2x6+7x7)

Q: 72x e2x dx

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Q: Evaluate the integral. 9. dx (36 + x²)3/2

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Q: 1. Refer to the hexagon pattern below. Assume that each edge of the hexagon measures 1 cm. Assume th...

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Q: Find the average rate of change of the function over the given interval. y=3x+ 1%3; between x= 1 and...

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Q: Find the general solutions of the following differential equations. d²y_2 - 2 + 4y = 0 (a) dx? d'y d...

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Q: Use the graph of f(x) = e* below to complete part a and b below.

A: Given:- The function is, f(x)=ex and the graph is, To find: - The value of limx→-∞ex

Q: Evaluate the integral sec 0 tan e de. Answer:

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Q: Problem 1: (1+ cos x) y' sin æ (sin r + sin x cos x – y)

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Q: show

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Q: Evaluate the following integral by interpreting it in terms of areas: 3 dæ Value of integral =

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Q: Given that f(x) = x² g(x) = x + 15, find 11x and | (a) ƒ + g = (b) ƒ – g= (c) fg = (d)

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Q: 3. Given r(t) = 12ti + 5cos t j + 5 sin t k , find the unit binormal vector and torsion.

A: Given that: r(t)=12ti+5cost.j+5sint.k

Q: use newtons method for this calculus equation  show all steps f(x)=x3+2x+1

A: Given f(x) =x3+2x+1. We use Newtons Method to find a real approximate root of f(x). From Newtons Met...

Q: C: In Exercises 8-9, find dr/d@. 8. r = sec 0 csc 0 9. r = 4 – 0²sin 0

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Q: Graph the integrand, and use area to evaluate the definite integral ... 8 The value of the definite ...

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Q: 1. lim f(x) : = -1 and f(1)DNE 2. lim f(x): = 1 and f(0) = -3 3. lim f(x) = -2, X →2- lim f(x) x → 2...

A: We have to graph the function asper the given limits.

Q: Lesson 1 – Solving Trigonometric Equations with a Graphing Calculator 1. Determine the number of sol...

A: Since the student has posted many sub-parts of the question and does not mention any specific part, ...

Q: State the formula for the definition of the derivative of a function f (x) provided x is any number...

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