Find the area of the surface generated by revolving the given curve about the y-axis. 8xy? = 2y6 + 1, 1

Q: If 1200 cm² of material is used to make a closed cardboard box with a square base. Find the exact di...

A: This question can be solved using the concept of maxima and minima.

Q: Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It forms a pile i...

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Q: Find the volume generated by revolving the area bounded by y² – 4y – 4x + 4 = 0 and x 1 %3| about th...

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Q: Find a function y(x) such that 5yy' = x and y(5) = 8. y =

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Q: Using an appropriate substitution, (cos-1 (x) the integral S dx equals: V1-x2 -e(cos- (x) -elcos-1(-...

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Q: If f(x) = 3 cot ' + 4, then find the value of f'(-1) is.

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Q: به)ک ن ان -)f Ssin*(x)cos°(x)dx du )کی + 207 - )J No appropriate Match au)قی - 207 - ه-)J du )کی + 2...

A: Find the integral match of the integral sin5xcos5x. 

Q: If f(x) = 6 cot-lx+ 8, then find the value of f'(-2) is %3D 6.

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Q: The population of a certain species is given by N = 127 × 1.06t, where t is measured in years. What ...

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Q: find eigen value of matrix A 3 -2 A %3D -니 2. 2.

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Q: Match the integral expression on the left to an equal expression on the right. cos(7x))dx + cos( (x)...

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Q: Stan"(w}sec°(w)ax u )کب + 27 + ه-)J ب)ا 20 - )J No appropriate Match au)کی - 207 - ه-)J du )قی + 27 ...

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Q: Calculate the curvature of the vector function when t= -7: 7(t) = (1+ 2t, 7 – 3t, -8 + 5t)

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Q: Vhich of the following best describes the function below? S (x) = * -4 ifx<2 |Vx-2 if 2sx A. Continu...

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Q: 2. Complete the following tables of values to investigate lim f(x) f(x) -1 -0.8 0.75 -0.35 0.45 -0.1...

A: solution

Q: .3 9. dx dy y2

A: Find the double integration. 

Q: Evaluate: S,(3y6 + 8y* – 9y2)dy 2

A: Given query is to find the value of the integral.

Q: Find the acceleration of the potato at 0.5 s ft/s?

A: s(t)=-81t2+225t+3acceleration a(t)=s''(t)consider s(t)=-81t2+225t+3Differentiate with respect to ts'...

Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = 10x² an...

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Q: A company knows that the unit cost C and the unit revenue R from the production and sale of x units ...

A: Rate of change of unit cost is given as $9 /unit. Unit revenue=$2000 We will find the rate of change...

Q: Find the relative extreme of the function f (x) 12+2x+2 and where they occur.

A: Given: - The function is, f(x)=x+1x2+2x+2 To find: - The relative extreme of the given function.

Q: "/2 sin x dx Jn/a V1-2 cos x 4.

A: As per the guidelines  we can answer only one question at a time. If you want to get the answers  of...

Q: - 20 - dr x² Vx? + 64 Evaluate the integral:

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Q: If f(x) = 6 cotlx + 8, then find the value of f'(-2) is %3D -2 -8 V5 8. OO O

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Q: equation of the swer in the form z = ax + by +c.) esgnal

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Q: What the twice amount of 375.00 dollars

A: The objective is to find the twice amount of 375.00 dollars .

Q: Determine whether the series converges using the Ratio test. 00 7k k=1 The series

A: This question is based on Ratio test.

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Find the compos Ite functions (f g) and (gn. What is the domain of each composite function? (Simplif...

A: We can answer all parts as below.

Q: Confirm that the integral test is applicable and use it to determine whether the series converges. 1...

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Q: Match the integral expression on the left to its suitable transformation on the right, after using a...

A: ∫un du = un+1n+1+C ; where , 'C' is an integration constant. dsin(x)dx = cos(x) dtan(x)dx=sec2(x) dc...

Q: find the approyimate Valueof 10/3 2- |(3.01*+(5-98)²+(2.03)?

A: According to guideline I'm solving only Question no. 2 

Q: Prove Jhab sinY Tim lim e-1 lim Sin y ニ ン と Siny S iny

A: Given,            limx→0sinxex-1=limx→0ex-1sinx=limx→0esinx-1xTo find : Prove the given limits.

Q: Given the vector function *(t) = (t, cos (2t)) Calculate the curvature when t=5.4

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Q: Evaluate the indefinite integral sin (2)cos (2)da = 3

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Q: At which point/s (value/s öf x) iš thể füñčtión neither nor differentiáble DO NOT include the variab...

A: Solve the following

Q: ) Let w = xe/z, where x =t², y = 1-t, and z = 1+ 2t. Use the chain rule to dz find . (Write your ans...

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Q: 4 Find the value of f'(-1) if ƒ (x) = (3r² – 2x +1)'

A: Given,            fx=43x2-2x+13To find : f'-1

Q: Use the functions below to find the given value.

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Q: xsin-xdx The antiderivative of -V1-x2 sin-!x +C A True B) False

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Q: Calculate the volume of the solid produced by rotating the region enclosed by about x = y? + 2y – 1 ...

A: To find the volume.

Q: TT S sin () Evaluate: 8 cos? dx

A: We will find the value of the integral. 

Q: 3. The Cartesian coordinates of a point are given. (i) Find polar coordinates (r,0) of the point, wh...

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Q: Suppose the rate at which consumers purchase peanut butter is increasing at a rate given by  f ′(t) ...

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Q: 5 dA over the region R = {(x, y) | 0 < I< 5,0 < y < 3} by identifying it as the volume of a solid.

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Q: Given the matrix and its eigenvalues 2 3 3 2 Find the eigenvalues for this matrix, then use them to ...

A: For finding eigenvalues of Matrix A , find A-λI =0.

Q: Which of the following best describes the function below? (3x ifxs2 x if 2<x f (x) =

A: Checking limits:When x approaches to 2 from left side:=limx→2- f(x)=limx→2- 3x2=3(2)2 =12When x app...

Q: 6 -dx Find 1

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Q: Find the equation of the circle shown. -7 -6 -5 -4 -3 -2 -2 -4- -5- of Write equation in standard fo...

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Q: Select ALL possible answers if there is more than one. Which of the following statement's is/are NOT...

A: To solve the following problem