An asteroid travels a parabolic path A=(1/2)x^2 across the face of the sun, given by the equation (x^2)+(y^2)=8. Set up the integral that represents the area of the upper region that this path creates on the face of the sun.

Q: A circular plate is measured to have a diameter of 3.5 feet if the measurement could be off by as…

A: Given, The diameter of the circular plate,d=3.5feet The radius of the circular…

Q: Show complete solution. Find the area between the parabola r = a sec^2 θ/2 and its latus rectum

A: According to question given:r=asec2θ2We have to calculate the area between parabola and its latus…

Q: Use a calculator to find the area under the curve given by y=9x^2+1 between x=0 and x=2 Area:

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 2. Gas escapes from a spherical balloon at a rate of 2…

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Q: Find the area between two curves: y=2x-x^2+3 y=x^2-4x+3 Show steps of calculation.

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Q: The side of a square was measured to be 10cm with a possible error in measurement of 0.1cm. Use the…

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Q: y = x^(2) , y = x^(3) find the area by rotating around the y axis

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Q: area bounded by the curve and perimeter when r^2=sin theta +cos theta

A: We used Octave to plot the above curve. And the code is:  theta=linspace(0,2*pi,1000);…

Q: Gordon is making a chocolate dome by coating a plastic dome with a layer of chocolate 2 mm thick. If…

A: Answer: 40π cm³ or 125.66 cm³

Q: y-1/10(e^(5x)+e^(-5x)), for x:[-4,4], about the x axis. Find surface area

A: Let's find surface area.

Q: Evaluate [csc^2 (-0.09-0.1i)]. Express your answer in rectangular form in 4 decimal places.

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Q: use the mthod of trig substitution to prove the area of the ellipse " {(x^2)/(a^2)}+{(y^2)/(b^2)} =…

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Q: Find the area bounded by the curve and perimeter when r^2= a sin theta (1 + sin theta). Show graph…

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Q: Given the funcion: ((x^2)/9)+(((y^2)/9)e^0.2x)=1    revolve around the x-axis to create an egg. Find…

A: The given equation is x29+y29e0.2x=1.We can plot the solid of revolution as

Q: Rotate the graph of g(x)=e^(−6x) on the interval [0,8] about the x-axis to generate a surface with…

A: Given that g(x)=e-6x To find the surface area by rotating the graph of g(x) on the interval [0,8]:

Q: Evaluate by 2Th COS30 S-4coso contour integration 20

A: Step 1: Step 2: Step 3: Step 4: