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Q: 56- find the intersection area between the cardioid r = 1 - sine and the cardioid r=1+sinA

A: Step 1: Step 2: Step 3: Step 4:

Q: On a certain day in February, the first high tide occurs at 3 AM, when the wa- ter rises 6.1 meters…

A: Approach to solving the question: Detailed explanation: Examples: Key references:

Q: Sketch a function that changes from concave up to concave down as x increases. Describe how the…

A: a.A function is concave up if it has a second derivative greater than 0. It can be either increasing…

Q: Find the area inside the loop of the limacon given by r = 7-14 sin 0 Answer:

A: Here  given    r=7−14sinθ Area of limacon is given as ∫02π​21​r2dθ…

Q: Evaluate the surface integral. S (x + y + z) dS, S is the parallelogram with parametric equations x…

A: Step 1: Step 2: Step 3: Step 4:

Q: 10) Find the area of the surface generated by rotating about the y- 1 axis the curve y= + ; 0≤x≤1. 2…

A:

Q: Let S be the surface given by x² + y²+2z² = 1, x > 0, y ≥ 0, z ≥ 0. Find the flux of (z, 0, 0)…

A: Step 1:The surface S given by x2+y2+2z2=1 is an ellipsoid, and we are considering the upper half…

Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F =…

A: The objective of this question is to use Green's Theorem to find the counterclockwise circulation…

Q: Find a plane through the point (2,1,1) and orthogonal x(t) = -5+t to the line y(t) = 5 +8t z(t) = −5…

A: To find a plane that passes through the point (2,1,1) and is orthogonal to the given line, we first…

Q: Verify the following identity: 2tan(e) sin(20)= sec2(e)

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

Q: 4xy+z = 3 Find the equation of the plane which passes through O and is parallel to x+ - y + z = A

A: For any query with the solution, please ask in the comment box.

Q: 2. Evaluate and simplify f(x)=x²+5x-2 for: a) f(-2)= b) f(-4x)= c) f(x+3)=

A: For any query with the solution, please ask in the comment box.

Q: dy ey sin² Solve the differential equation You may leave your answer in implicit form. de y sec

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

Q: Prove that this is correct to find the derivative. In detail please. Neep it asap because of the…

A: Step 1:Step 2:

Q: Knowledge/Understanding Multiple Choice: 1. A line passes through the points A (7, -4) & B (-5, -2).…

A: 1.2.3.4.5.6.7. 8.9.10.

Q: An object that is heated by a manufacturing process to 90°C is placed into the surrounding air which…

A: According to Newton's Law of Cooling :T(t)=Ts​+(T0​−Ts​)e−ktTs​ Denotes Surroundings temperature…

Q: 3 2 1 1 1 2 3 To find the blue shaded area above, we would calculate: .b C a f(x)dx = area Where: a…

A:

Q: You may produce seven products by consuming three materials. The unit sales price and material…

A: Objective is to maximize the revenue:z=∑i=17​pi​xi​=100p1​+120p2​+135p3​+90p4​+125p5​+110p6​+105p7​…

Q: sech¹x = ln 1 + √1 - x² 0 < x ≤ 1 X Prove mathematically that the right-hand side is equal to the…

A:

Q: 1. Water is flowing into a tank over a 12-hour period. The rate at which water is flowing into the…

A:

Q: Please answer parts a-c of the attached.

A: a) The area of the region  R can be found by integrating the difference between the upper and lower…

Q: PLS HELP ASAP ON ALL

A:

Q: in his model for storage and shipping costs for a manufacturing process, a researcher develops the…

A: Step 1: First, simplify the equation of the storage.Step 2: Then, differentiate the equation with…

Q: Question 8 Consider a pyramid with square base of side length 10 cm and height 15 cm. (a) Slice the…

A:

Q: K The population density of a city is given by P(x,y) = -20x² - 20y² + 200x +480y+ 190, where x and…

A: To find the maximum population density, we need to find the critical points of the function and then…

Q: On a hot summer afternoon, a city's electricity consumption is -3+² + 18t+ 10 units per hour, where…

A: To find the total consumption of electricity between 1 p.m. and 4 p.m., we need to integrate the…

Q: Use the product rule to find the derivative of (2x² - 4x¹0) (5² + 6) Use e^x for e. You do not need…

A: Thanks for your patience.!

Q: you don't need to give the equation for (a). I just need help with the other questions

A: For any query with the solution, please ask in the comment box.

Q: H.W: replace the following polar equations by equivalent Cartesian equation, then describe or…

A: Step 1:Step 2: Step 3: Step 4:

Q: At the end of each month, for 24 months, $200 is put into an account paying 6% annual interest…

A: In an annuity due, deposits are made at the end of each period. Continuous compounding refers to…

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: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

A: The objective of the question is to verify if the given function satisfies the conditions of Rolle's…

Q: Find parametric equations for the line tangent to the curve of the intersection of the surfaces x3 +…

A: The objective of the question is to find the parametric equations for the line tangent to the curve…

Q: PLS HELP ASAP ON ALL

A:

Q: Determine the intervals on which the following function is concave up or concave down. Identify any…

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

Q: Answer question in photo using graphing caculator

A: The objective of this question is to find the percentage error when approximating the area under the…

Q: Based on this question add on the following list and rewrite the question. 1. Is 'x' defined in…

A: Great! Let's solve each task step by step.Step 1: To find the number of subscribers that maximizes…

Q: 7) Let F(x,y) = (xy²+2y) + (x²y+2x+2)j be a vector field. a) Calculate curlF and divF, is F a…

A: solution of the given question is like as:

Q: $1,100 is deposited quarterly for 20 years at 5% per year. FV =

A: The problem requires the determination of the future value of an annuity. The future value of an…

Q: The function f is defined by f(x) = x² cos (3x). What is the average value of f on the interval [—3,…

A: To find the average value of the function f(x) = x2cos(3x) on the interval (−3,4), we need to…

Q: The supply for a particular item is given by the function S (x) = 26+ 0.64x². Find the producer's…

A: To calculate the producer's surplus, we need to understand the concept and the steps involved in…

Q: Solve the differential equation xy2y' = x + 1.

A:

Q: For the following fields, calculate curl F: 1. F(x,y,z) = 〈x2 -y, 4z, x2〉 2. F(x,y,z) - 〈-3y,3x〉

A: Step 1:(1) The given field is:F(x,y,z)=⟨x2−y,4z,x2⟩To compute the curl of a vector field, we can use…

Q: find the equation of the plane through the three points given P=(4,0,0), Q=(6,-1,1), R=(7,4,-1) has…

A: 1. Find the vectors v1 and v2, which are the differences between the points P, Q, and…

Q: Using appropriate identities, determine the exact value of COS os (표).

A: Step 1: Step 2: Step 3: Step 4:

Q: Determine the work done along the path C, over the vector field F(x,y) =〈9x2,4y〉for each of these…

A: The answers are attached in the form of images:

Q: A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10…

A:

Q: 6 1. Express the equation in cartesian coordinate r = 3 cos 0 + 2 sin 0 2. Express the equation in…

A: Step 1:Step 2: Step 3: Step 4:

Q: If the region R is West Virginia on a map (assuming the terrain is flat) and at a point (x,y) € R…

A: Step 1:Given that R represents the region West Virginia in the map.And at a point (x,y) € R…

Q: (x = 1-2t 27. In 3-space, find the distance between the skew lines y=1+t and [x, y, z] = [4, 7, 1] +…

A: