es h= 0 and h T 71. A torus (doughnut) Find the volume of the torus formed when the circle of radius 2 centered at (3, 0) is revolved about tha y-axis. Use geometry to evaluate the integral. e y A -3 21 b- is. e r, x 2U60 72. Which is greater? Let R be the region bounded by y = r'and = the

Q: Can i get help with this problem step by step?

A: Calculation:

Q: Numerically estimate the limit using a numerical estimation table. lim (1x1)x; start x = 500, increm...

A: Limit of the function can be computed as follows.

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A: Obtain the value of limit as follows.

Q: How can I get the result? Which is the result?

A: we are given functions as 

Q: I am so confused, question is in the picture.

A: According to the question,

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A: The function f(x) is  (x2  - 2x)/(x2 - 4). 

Q: Kindly help

A: The Taylor series can be obtain as follows.

Q: Question 9 please

A: a)Compute a, 3a and -2a as follows.

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A: The given function is :

Q: Can i get help with this problem step by step?

A: Firstly, we multiply and divide by thita and then we use the result that limit of sinx/x =1 as x app...

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A: The cost to produce plastic toys increases by 80 cents per toy produced.80 cent= 0.80 dollar.So rate...

Q: I need help for this.

A: (a)  Use the ratio test and compute the interval of convergence as follows. 

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A: Enter the data in the excel file .

Q: [3sin(θ)*cos(θ) - θ]/ [tan(θ) - θ]   lim θ -> 0

A: Let  f (θ) = [3sin(θ)*cos(θ) – θ] / [tan(θ) – θ].Find the limit of the function as θ approaches 0.

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A: First we subtract 1 from both sides and remove the absolute function. 

Q: 23. Choose the series that converges: 2" b) Σ (n+1)! Θ ΣΙ2--] 3 Ο Σ 2 n-1 n=1 n-0 1 d) ο Σ n e) n=1 ...

A: a) Here, we find first few partial sum ,since lim sn as n approaches infinity does not exist. Theref...

Q: Help please..

A: We first calculate the value of cos x at x=0.5 

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A: Given,

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A: High points or peaks is the point on the graph which has the highest value of y-coordinate and the l...

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A: The percentage of susceptible children who were infected by measles outbreak on day t during the fir...

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A: Definition used: Mean Value Theorem

Q: What is the range of  f(x)= -x2+2x-4

A: Use the online graphing calculator and draw the graph of the function as shown below.

Q: Can i get help with this problem step by step?

A: We substitute 4-4cos10t=h, as t approaches 0 , h also approaches 0. Then, we use the result that the...

Q: SImplify   (h3-4h)/(h3-2h2)

A: Simplify the given expression as follows.

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A: Given information:A car is driving away from a crosswalk. The distance d (in feet) of the car from t...

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A: logxy = zWith respect to logarithm:The base of a logarithm should always be positive and not equal t...

Q: Function      Point g(t) = −5 cos t + 1      (π, 6) Find the slope of the graph of the funct...

A: Given,

Q: What should the u be for the following?

A: 37) The value of u in the given integral is assigned and the integral is evaluated as follows.

Q: 26. Given two functions, find the area between the two curves, where you will need to algebraically ...

A: (a)Firstly, we will draw graph 

Q: 91/4 · 81−5/8

A: The given expression is

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A: (A) The function has an absolute maximum but no local maximum. This means the graph is strictly incr...

Q: Help please..

A: The general Taylor series for ex at x = 0 is as follows.

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A: Given:The equation of the line is y = 5x.(52,0) is the closest point to the point P which line on th...

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A: Acceleration function is given as a(t) = sin(t) + 3cos(t).Integrate the acceleration function to get...

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A: Consider the series I.The partial sum is,

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A: The given integral expression is computed as follows.

Q: How can I get the result? Which is the result?

A: The given function is,

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A: Calculation:a)From the given, it is observed that the initial value is 3.3 and the constant percenta...

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A: Let x be the amount of gallons of 4% solution must be drained.The amount of bleach equation is, 

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A: Domain of a function:

Q: A grain silo consists of a cylindrical concrete tower surmounted by a metal hemispherical dome. The ...

A:

Q: How can I get the result? Which is the result?

A: Use Pythagorean theorem,

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A: The average velocity of the object over [1, 7] is computed as follows.

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A: We first graph the given equations. They intersect at (-3,3) and (2,-2)

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A: C(x) and P(x) shows the total production cost function and the profit function of penicillin.

Q: 3. Given the function g(x) 8x defined on [-1, 1], determine if the function satisfies the Mean Value...

A: Given,

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A: Here, since limit of numerator and denominator is 0 as t approaches 0, so , we use L'hospital's rule...

Q: A stone is tossed into the air from ground level with an initial velocity of 31 m/s. Its height at t...

A: We use rate of change formula. Average velocity in time interval [2,2.01] = 11.351 m/s

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A: Consider the position function, s(t) = 16t2+103t.

Q: Need help with D, E, and F.  Anser A- h= 17.92/(pi)r^2 Answer B-S(r)= 35.84/r + (pi)r^2 Answer C- S'...

A: Given information:The surafce area of the baking powder is shown below: