The volume of the solid obtained by rotating the region enclosed by 1 y = 0, x = 3, and x = 8, about the line y = -4 can be computed using the method of disks or washers via an integral V a with limits of integration a and b

Q: Find the length of the curve y=x^3/2 from the point (1,1) to the point (4,8).

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Q: 5. 7.G.2.6 What is the volume of the figure that can be formed by the net below?

A: Given: - The figure is, To find: -The volume of the figure that can be formed by the net below.

Q: Find the area of the parallelogram that has u = i - j+ 2k and v = 3j + 2k as adjacent sides. V NOTE:...

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Q: Find all vertical and horizontal asymptotes for the function h(x) given below. Write yo answers as l...

A: Here we have to find the equation of all vertical and horizontal asymptotes. The given function is h...

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A: Given data÷

Q: Let f (x) = ax- 3/12 + 4x². Find the value of a if f' (1) = 16. Enter the value of a in the box and ...

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Q: x² +8x – 4 -dx = Inx + aln(x - a) – aln(x + a) + C x³ – 4x 7. x+1 1 + bln - x³ (x – 1) 8. 4xdx 3 a+ ...

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Q: Are 2x – 4y = 3 and 2x + 4y = -3 parallel, perpendicular or neither?

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Q: The Happy-Go-Lucky toy company found that the rate its revenue is changing, measured in hundreds of ...

A: Given 

Q: Find the integral. e2xx2dx

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Q: Find the rectangular coordinates of the points whose polar coordinates are given. ( a) ( 6, π/6) (b)...

A: This question is based on conversion of polar coordinates to rectangular coordinates.

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Q: 2. In 3-space the distance d from a point P to the line L through points A and B can be expressed as...

A: Distance is given as d=AP→×AB→AB→  

Q: f(x) = %3D n = 0

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Q: Find the slope of the tangent line to the curve 2x + lay 4y 20 at the point (2,- 2).

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Q: A note card company has found that the marginal cost per card of producing x note cards is given by ...

A: In this question we have to find the total cost.

Q: Find energy in kJ of a photon. 2=488 nm. The speed of light is 3.00 x 108 m/s and h = 6.63 x 10-34 J...

A: Energy

Q: Find the measures of the angles of the triangle whose vertices are A(1,0), B(2,1), and C(1,–2). 4.

A: Given : A(1,0) B(2,1) C(1,-2)

Q: Average Monthly Temperature The average monthly temperature (in °F) in San Antonio, Texas, can be mo...

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Q: Let f(x) = x2 - (x + 2) and calculate f(x) dx by using integration by substitution. What was your su...

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Q: Differentiate f(x) COS (5x). Use exact values. f' (x)

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Q: 2. f f(x)= the cost (in dollars) of purchasing x candy bars, write a complete English sentence to ex...

A: If f is a function from A to B, for x belonging to A and y belonging to B if f(x)=y, x and y are rel...

Q: Translate: 6Y = 54 O Six more than a number is fifty-four O 6 times y is equal to 54 O The product o...

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Q: Integrate the function. dx x2+ 8x + 32 A (2x + 8}In]x2+ 8x + 32|+ C B X+4 tan + C 4 sin + C (*+4) X+...

A: First simplify then use the formula of integration and get the final result 

Q: Graph the piecewise-defined function. x-3 if xs5 f(x) = 2 if x>5 .... Choose the correct graph. OD. ...

A: This question can be solved using the concept of drawing the graph of linear equations.

Q: A. Solve for the Derivatives of the following functions. Final answers should be in simplified form ...

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Q: 2. v=i+k, u = 5i + 12j V = Find: a. u.v, l미, lul b. the cosine of the angle between u and v. the sca...

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Q: Cones ider funcho s fa)= 4/x-2J two important opeN intervals There are -0,A) and (A, ) where A is a ...

A: Solution is given below..

Q: Determine £ {F}. -26s-20 F(s) = %3D (s+ 1)2(s + 6)

A: Inverse laplace transformation of -s2-26s-20s+12s+6

Q: Compute the first-order partial derivatives of the function. z = tan (8uv) (Use symbolic notation an...

A: The detailed solution is given below Thank you 

Q: esinxy arc tanx, Ssolve for a' 12

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Q: Solve for the Derivatives of the following functions. Final answers should be in simplified form y= ...

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: 3 The altitude of a triangle is increasing at a rate of 8 cm/s while its area is increasing at the r...

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Q: 1- Solve the following equation: < 2

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Q: sin-e)+sec-1(x) tan-1x+tan-1 d Find dx

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Q: 2.2

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Q: Alchanges sa 6. Consider the rabbit pairs that illustrate the pattern in the Fibonacci sequence. The...

A: step 1:-Given that: After reaching at the age of 2 months, rabbitproduce exactly 1 pair of new rabbi...

Q: y = (x² – 1)lnx

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Q: Let f(x): and calculate V80-x+I f(x) dx by using integration by substitution. What was your substitu...

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Q: \ cosx + sinxr cos³x + sin³x 3 3. 3. cos x – sin°x |dx 3. cosx + sinx cosx – sinr

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Q: Use the chain rule to find the derivative of 12 f(x) = 2(50 - 2x) You do not need to expand out your...

A: By using chain rule to find the derivative of the given function.fx=25x10-2x812    

Q: Find the smallest value of k, k e N, for which the average value of S(x) = 12 x + k %3D on the inter...

A: Average of a function f on the interval [a,b] is giveny by:Average=1b-a∫abf(x) dx

Q: x²y" + 2xy' – 6y = 0 , Y1 = x²

A: The given DE is: x2y''+2xy'-6y=0 with one of the solution y1=x2. Now, dividing the DE by x2 will giv...

Q: Differentiate y = 2sin? (x³) + 3x and evaluate y (0). Enter the value y (0) in the box and upload yo...

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Q: APPLICATION: Direction: Show the following. 1. f(x) = x2- 6x + 3 is continuous on the interval [- 3,...

A: Since you have posted multipart questions i can do first three subparts as per our company guideline...

Q: Determine whether the series is convergent that you use. divergent. Write test or 2 ८ 88

A: Explanation of the answer is as follows

Q: Two cars are headed for the intersection of the two roads. If Car A is travelling south at 45 km/h a...

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