• Surface Area of a parametric curve revolved around the x-axis: 2 dx S=2T (+) dt a 2 dy dt dt

Q: Solutions to question 3 please

A: Thanks for your patience!Kindly comment if you need any clarifications.

Q: 1. (a) Rewrite the following integral as in iterated integral in the order dx dy dz 1-y LEG f(x, y,…

A: References; Mikhlin, S. G. (2020). Linear integral equations. Courier Dover Publications. Tosun, J.,…

Q: [[ Suppose f(x)dx = 2, f(x)dx = -6, and g(x)dx = 7. Evaluate the integrals in parts a - d. 3 5 5 -…

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Q: Solve this problem and provide a detailed explanation with full mathematical steps and reasoning…

A: 1. 2. 3. 4.

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A: If you have any questions let me know in comment box thankyou for your question.

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A: a)The cross-sections perpendicular to the x-axis are circular disks with diameters lying along the…

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A: Step 1:a).To parameterize  the ellipse in a counter clockwise direction starting  from (2,0). use…

Q: Express the equation in logarithmic form. 34 = 81 = log )

A: Step 1:    Step 2: Step 3: Step 4:

Q: Let C be the curve parametrized by the equations.  x = e^2t - 2t, y = 4e^t (a) Find dy/dx in terms…

A: To find (dxdy​) in terms of \( t \), you can use the chain rule, given (x)and  as functions of (t).…

Q: (a) Calculate the differential df of the function f = tan(x). Use it to find an = π/4, approximation…

A: Part (a):First, we need to calculate the differential df of the function f = tan(x). The derivative…

Q: Find the points of intersection of the graphs of the equations. (Enter (0, 0) for the pole.) r = 2+2…

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Q: 3. Discuss the pros and cons of using tangent line approximations in the two situations you explored…

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Q: Find the points of intersection of the graphs of the equations. (Enter (0, 0) for the pole.) r = 6-8…

A: Step 1: Step 2: Step 3: Step 4:

Q: Evaluate the indefinite integral. cos(x) 8 sin(x) + 40 dx

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: 2. g(x) = = I x-1 (a) Determine the domain (b) Determine if the graph has any asymptotes, or any…

A: a) g(x)=x−1x​ is not defined on x−1=0⇒x=1So, domain of f(x) is:             (−∞,1)∪(1,∞) b)Find…

Q: 8:55 PM | 50.0KB/s ← اله. الله. Assignment 2 DEMC_... Q Assignment 2 1. Solve (D²-4D+4)= e² + cos…

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Q: 4. List the zero(s) of the following function: zero(s):

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Q: Use the graph to find the avswer in the photo.

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Q: At the end of an advertising campaign, weekly sales declined according to the equation y= 14,000…

A: Given,y = 14000(5-0.06x), where, x is the number of the weeks after the end of th campaigna)sales at…

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A: Step 1:

Q: Optimization Assignment - Paperwork and Video Lone Depot and Homes are two competing home…

A: Step 1: Step 2: Step 3: Step 4:

Q: 4) Solve the equation sin2x = 2sinx on the interval on [0,2]

A: To solve the equation sin(2x)=2sin(x) on the interval [0,2π], we can use the double-angle identity…

Q: if f(x) = 15 - g(x) for [-2,2], then what is the integral of (f(x)-g(x))

A: To find the integral of f(x)−g(x) over the interval [−2,2], we first need to express f(x)−g(x).…

Q: 1) Find the exact value. (a) Sin (tan¹(-)) (b) tan (cos-¹(-))

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Q: Alternating series test Coverages or diverges?

A: Step 1:Step 2: Step 3: Step 4:

Q: ○ f(x) 4. Compare the relative rates of growth of the following pair of functions and give the…

A: Step 1: 4-Hence the growth of function g(x) is faster than f (x). Step 2: 5- Step 3: 6- Step 4: 7-

Q: Use a graphing utility to graph the polar equation. between the loops of r = 2 + 4 cos(0) Find the…

A: Area in polar co-ordinate system in terms of a double integral : The area of region R in polar…

Q: Find the equation for the tangent line to f(x) = x ln(x − 1) at x = 2

A: Step 1: Step 2: Step 3: Step 4:

Q: Find R f(x, y) dA where f(x, y) = 3x + 1 and R = [1, 2] × [−2, 4]. SSR f(x, y) dA = Submit answer…

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Q: "Time is fluid" 50 X 55 XI 60 45 5 10 15 M 30

A: The amount of time that something happens or stays the same in a non-spatial continuity that is…

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A: Step 1:A function f(x) is increasing if a > b than f(a) > f(b).A function f(x) is decreasing…

Q: Determine whether the series is convergent or divergent by expressing the nth partial sum s as a…

A: Given sereis: ∑n=5∞​n2−16​ The nth partial sum is expressed as:Sn​=∑n=5∞​n2−16​=∑n=5∞​(n+1)(n−1)6​…

Q: Find a general solution for y in terms of x that satisfies the first-order linear differential…

A: Thanks for your patience!Kindly comment if you need any clarifications.

Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the…

A: Step 1: Set up the integral We will construct an integral with horizontal rectangles. The rectangles…

Q: Solve the triangle. C = ° (Do not round until the final answer. Then round to the nearest degree as…

A: Step 1:from the figure, we have two angles and one side length, we need to find the remaining angle,…

Q: 2. A rat runs through the maze shown below. At each step it leaves the room it is in by choosing at…

A: In the scenario described, the rat's movement through the maze resembles a random walk, where at…

Q: Help please

A: If you have any questions let me know in comment box thankyou for your question.

Q: To compute ( 14 u = du = 4xy √√x²+y²+5 14 3 4xy dxdy √x²+y²+5 = Submit answer Next item dady you do…

A: The given double-integral is: ∫814​∫13​(x2+y2+5​4xy​) dx dy To evaluate the double integral,…

Q: 2) Find the equation of the curve whose slop 12 B) T= r The rate of change of the temperature, T (in…

A: Step 1: Step 2:

Q: Please see image

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Q: (a) Evaluate the integral 2 32 -dx. x² +4 Your answer should be in the form kл, where k is an…

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Q: Solve the equation for x. 35x-2=3 18 X =

A: Last option is correct.

Q: An open-top rectangular box is being constructed to hold a volume of 350 in³. The base of the box is…

A: Step 1: Let the dimensions of the open-top rectangular box be a,b,c inches respectively. then the…

Q: 3. Consider the line [x,y,z] = [3,-2,3]+1[-1,2,-3]. Find the intersection points between this line…

A: Step 1:we have R(t)=[x,y,z]=[3,-2,3]+t[-1,2,-3]R(t)=[x,y,z]=[3-t,-2+2t,3-3t] Step 2:for xy plane…

Q: Use left and right end points and 4 rectangles to find two approximations of the area of the region…

A: Step 1:​The left Riemann…

Q: ) MATH 202 Important Instruction. --- Assignment I due 30-4-2024 Solve the following problems in a…

A: Here's a breakdown of the problems:Problem 1: This problem involves solving a triple integral in…

Q: A canoe is being paddled at 2 knots (nautical miles per hour) on a heading of 080°. The current is…

A: Please see the attached image for the solution.  If there are queries, please do not hesitate to…

Q: Use the table graph to answer question in photo.

A: Step 1: Step 2: Step 3: Step 4:

Q: Calculate v x w: v = (5,6,2), V X W W = (5, 4, 7)

A: Step 1: Step 2: Step 3: Step 4:

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

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