6. lim (0.2)

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A:   sum of infinity terms of geometric series=first term1-common ratio

Q: Sam can swim at 6 m/s in still water. He wishes to swim across a river which flows downstream at 2 m...

A:

Q: CalculateS.

A: Here we have to calculate ∫02xe-xdx by trapezoidal rule n = 10      

Q: A ball is thrown across a playing field from a height of h = 4 ft above the ground at an angle of 45...

A:

Q: A. What is the total mass, the moment about the x-axis and moment about the y-axis? b. Where is the...

A:

Q: Consider the second derivative graph, y = f"(x), %3D given below. Which of the following statements ...

A: Graph f''(x) is given, we have to find the concavity if the graph f(x).

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

A:

Q: Which of the following pairs of vectors are perpendicular to each other? a) (4, 14, -18) and (6, 21,...

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Q: If e = 3 10x find the reference angle 0'. Give only exact answers, and type pi for a if needed. Do N...

A: Topic = Trigonometry

Q: For what values of r does the function y = ex satisfy the differential equation y" – 4y' + 2y = 0? (...

A: We will differentiate y and put in the equation and then will find the value of r.

Q: Use a linear approximation (or differentials) to estimate the given number. e0.015 Step 1 To estimat...

A: Explained below 

Q: dy Which of the following could not be the graph of a particular solution to the logistic differenti...

A: The given differential equation is dydt=0.8y(1-y20)                                                 ...

Q: ne annual world consumption of silver is predicted to be 22.3e" thousand metric tons per year, where...

A: Consumption

Q: ∫(x2-2x+1) / (x2-2x-3)5/2 dx solve using integration by parts

A:

Q: If sine = a, then csce = 01 O a O 1/a

A: cscθ is inverse of sinθ

Q: sec x - sec x sin2x = cosx sin²x sinxtanx

A: Given query is simplify the expression.

Q: f(x) = 5x²/(2x– 1) f(x)%3D5×/cos(x)

A:

Q: Which expression is equivalent to sec a(1 – cos?a) for all values of a for which sec a(1 – cos²a) is...

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Q: In formally proving that lim x→1 (x2 + x) = 2, let ε > 0 be arbitrary. Choose δ = min (ε/m, 1).Deter...

A: Definition of limit: limx→af(x)=L implies for a positive number δ, there exists a positive number ε ...

Q: Consider the initial value problem and find the solution: y'' + 4ay' + (4a2 +1)y =0    y(0)=2,   y'...

A: We will use that if ax2+bx+c=0 is equation than x=(-b+(√b2-4ac))/2a and x=(-b-(√b2-4ac))/2a.

Q: > ke 10 k=1

A: The given series,      ∑k=1∞k e-110k2

Q: Question óf 20 This te This que A line perpendicular to another line or to a tangent line is called ...

A:

Q: Use the difference an+1 - an to show that the sequence {n – 11"} +00 | is strictly increasing or str...

A: see below the answer and calculation

Q: Find the exact value of cos 0 if tan 0 = and 0 is in quadrant IV. 7 - 5/74 O- 74 7 74 74 7/6 12 5/6 ...

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Q: Find the general indefinite integral. (Use C for the constant of integration.) - 3u4 ته( ل u? +)

A: This question can be solved by using some basic formulas of integration like ∫xndx

Q: Find the derivative of the function. f(t) = 9t sin(xt) f'(t) = Need Help? Master It Read It

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Q: Considering only the values of 0 for which cos Otan (-0)sec (–0) is defined, which of the following ...

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) x²V...

A:

Q: Jcot x+1 O tan x sec x O csc X

A: Simplifying the given expression

Q: tan e is equal to cot tan?e O-1 O cot?e

A: Here is the solution

Q: Use a linear approximation (or differentials) to estimate the given number. e0.015 Step 1 To estimat...

A: NOTE: Refresh your page if you can't see any equations. . the given number is  here the given numbe...

Q: 5 14. We know the runner ran more than 0 meters in those 90 seconds. To find the distance 90 di trav...

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Q: dy Find for the following function. dx 3 - cos X y = 4 + coS X dy dx II

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Q: considering only the Values of & for which cos (-0) is defined, which of the following expressions i...

A: Given query is to find the equivalent value to the expression.

Q: p= 265 50 and C(x) = 84000 + 50x, where x is the number of microwaves that can be sold at a price of...

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Q: r(4)=DTsin(i+ 34 j+ t°K 2. POINT: (1,2,1)

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Q: Using linear approximation (or differentials) I estimate cos 30.5° Select one: O a. 0.861662 O b. 0....

A: For the solution follow the next step.

Q: In each part, find a formula for the general term of the the sequence, starting with n = 1. 1 1 1 (а...

A: a)     an=13n-1 b)        an=(-1)n-13n-1⇒an=(-13)n-1

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

A: This question is based on application of derivative.

Q: Find f ogohif f(x) =, g(x) = x", h(x) = x + 3. 10 x+1'

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Q: Find the equation of the tangent line to f(x)=4x+x^−1/2+1 at the point (4,35/2)

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Q: Given point P(5, 12), find cos 0 5/13 12/5 12/13

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Q: If u; and > Vk are convergent series, then > (ux + vk) and (uk – vk) are convergent series and the s...

A:

Q: Integrate both sides = S sec²y dy = S dx

A: ∫sec2y dy=∫dx

Q: 3. y'-5y =xe* –xe"

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: If you simplify the given equation f the resulting equation is dz 6x-2-922 da 1+(3z-1) da 1+(1-3a) d...

A: Here, the given integral is: ∫dx6x-2-9x2

Q: x3 dx = (x* +4)2 8.

A:

Q: (1–sin a)(1+sin a) (1–sin a)(1+sin a) Which expression is equivalent to for all values of a for whic...

A: Solution: 1-sin α1+sin αcos α

Q: Find the first and second derivative of the function. x3 + 5x? – 4Vx F(x) :

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Q: Tori is draining her pool for winter. After the pool had started draining, Tori began to wonder how ...

A: a.)  Assume the model: d(t)= at+b From the question: 4a + b = 5.5 --------1 7a + b = 3    --------2 ...