converges

Q: Find the average velocity of the coin over the interval [1,2] : Average velocity is feet per second ...

A: Consider the given height function, st=-16t2+155   The average velocity of the coin over [1, 2] will...

Q: Determine the open intervals on which the graph is concave upward or concave downward.  y = 9x − 7 t...

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Q: Q1-A: Solve the following equations by two different methods: 2 x+3 y-3 z 9. .(1) 5 x- 2 y-8 z =6 .....

A: Answer 1-A) As the given set of equations: 2x+3y-3z=9 ............15x-2y-8z=6.............24x-y-5z=-...

Q: is all real numbers except xx =

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Q: 8) The graph of y = f (x) is shown below on the domain [0, 5]. Sketch the graph of y = f (x) on the ...

A: The graph reach maximum at x=1  and minimum at x=3 When graph  of f(x) reaches maximum or minimum th...

Q: Evaluate the following limit. Use l’Hôpital’s Rule when it is convenient and applicable.

A: We have to evaluate limx→∞log2xlog3x We know that logba=logalogb Given expression can be written as:...

Q: If f(x) = 6(sin(x))", find f'(2).

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Q: The second number is the reciprocal of the first number and the sum is a minimum

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Q: Determine whether the plane x + y + z = 9 and the line x = t, y = -2t + 1, z = t + 2 are parallel, p...

A: The given equation of line is in parametric form, x=ty=-2tz=t+2 Convert it into the cartesian form, ...

Q: Find the reference angle for the angle 5π/6

A: Let,        θ=5π6     

Q: 1)  Determine whether the sequence {an} converges or diverges:  2)  Determine whether the series Σ a...

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: х — 5 - За + 9 Given f(x) and g(x) find the domain of f(x) · g(x) - 3x + 3 х — 2 The domain is all r...

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Q: A bicyclist accelerates at a constant rate from a standstill to 15 km/hr in 90 sec. a) How fast is t...

A: a) Consider the given information: u=0 km/hrv=15 km/hrv=15 ×10003600m/sv=4.17m/st=90sec From formula...

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

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Q: 4. The position of a particle travelling along a horizontal line in t seconds is s(t) = 2t3 – 12t2– ...

A: The position of a particle is given by the equation is: st=2t3-12t2-72t+7. Then, velocity of the par...

Q: x-2 (x)) 1. %3D difference quotient f(x+h)-f(x)

A: Given: fx=1x-2        ......(1) The difference quotient of a function is given by fx+h-fxh , h≠0    ...

Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) [1, 1...

A: f(x)=xx+6Given interval is [1,12] When denominator becomes 0 then the function becomes undefined x+6...

Q: Find the domain of the rational function: h(x) = (x + 8)/(x2 - 64)

A: Given- x+8x2-64 To find- the domain of the rational function. Concept used- The denominator of the r...

Q: A quadratic function f is given. f(x) = -3x2 + 6x 1 (a) Express f in standard form. f(x) = (b) Find ...

A: given that f(x)=-3x2+6x-1. (a) we need to express f(x) in the standard form. The standard form of th...

Q: I need help solving this question.

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Q: Hi, need a step by step break down please.

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Q: A manufacturer produces bolts of fabric with a fixed width. The quantity q of this fabric (measured ...

A: given dataf(15)=8000f'(15)=-350R(p)=pf(p)differentiating both side R'(p)=pf'(p)+f(p)nowR'(15)=15f'(1...

Q: A winch is on top of a pole that is 25 ft high and it is using a rope to pull object A. The rope is ...

A: Let the distance of the object from the wall is x. the length of the rope is L and the length of the...

Q: Use the following graph to identify the points on the interval [a, b] at which local and absolute ex...

A: Absolute extrema describe the points in which the graph is either at its greatest maximum or lowest ...

Q: Use Definition 2 to find an expression for the area under  the curve y= x3  from 0 to 1 as a limit.

A: Make a partition of the intervals [0,1] in n subintervals. ∇xi=1-0n=1nxi=i1n  

Q: Transform the following product by making the change of variable i= k + 1. So when k and - - are exp...

A: Given i=k+1 when k=1  the value of i=1+1=2 i=2 we know that i=k+1 i=k+1subtract 1 from both sidesk=i...

Q: - width -- depth

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Q: Please show me how to get to the answer with detailed work.

A: Given

Q: Calculus Question

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Q: Differentiate

A: The given expression is : ddx∫2x211+t4dt  ddx∫2x211+t4dt=ddx∫2x2112+t22dt=ddxlogt2+t2+12x2+C=ddxlog4...

Q: In the exercise, X is a binomial variable with n = 4 and p = 0.4. Compute the given probability. Che...

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an a...

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Q: 1. 1-x2 1372 -1

A: Given ∫-11∫-1-x21-x2x2+y23/2dydx

Q: Find the length of the curve.y=x3+14x,1≤x≤2. Round the approximation to 4 decimal places.

A: The length of the arc from point a to b is given by:

Q: Consider the logarithmic function g(x) = In(- %3D a. Algebraically determine the exact value of b. C...

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Q: DIRECTION: Solve the following problems. Apply the different rules and formulas for differentiation ...

A: According to bartleby guidelines, for more than 3 sub-parts, first 3 sub-parts should be answered. (...

Q: 2. A honeybee population starts with 100 bees and increases at a rate of f'(t) bees per week. What d...

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Q: Suppose that x=x(t) and y=y(t) are both functions of t. If y=2x2−1, and dx/dt=5 when x=14, what is d...

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Q: 18. Give a general solution to the differential equation y' = 2xy. O a) y = Ce(x²) O b) y = e* + C O...

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Q: dy for the circle defined by the equation x2 + y2 = 18. dx 4) Find

A: Given equation of circle is x2+y2=18 Power rule of differentiation states ddxxn=nxn-1 Differentiatin...

Q: What is the equation of the tangent line to the circle x2 + y? = 34 at the point (5, 3)?

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