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a ryWith 5. The folium of Descartes is an...
I don't know how to do both a and b 16. The folium of Descartes is the curve C c R2 described by the equation a) Give a parametrization of C. Hint: Use t y/r as parameter b) Compute the area of th...
I don't know how to do both a
and b
16. The folium of Descartes is the curve C c R2 described by the equation a) Give a parametrization of C. Hint: Use t y/r as parameter b) Compute the area of the "leaf."
16. The folium of Descartes is the curve C c R2 described by the equation a) Give a parametrization of C. Hint: Use t y/r as parameter b) Compute the area of the "leaf."
A very important application of Green's theorem is that the bounded domain cut out by a simple cl...
A very important application of Green's theorem is that the bounded domain cut out by a simple closed curve C has area given by: x dy - ydx where C is traversed in the counterclockwise way. Find the area of the of folium of Descartes in the first quadrant given by the equation Hint: You will need to directly compute the above line integral and thus you will need a parametrization for the folium in the first quadrant. The parameter...
Question 1. Compute the derivative of the following functions.
Question 1. Compute the derivative of the following functions.(a) \(f(x)=x^{3}-\frac{2}{\sqrt{x}}+4\)(b) \(f(x)=2^{3 x-1}\)(c) \(f(x)=\ln \left(5 x^{2}+1\right)\)(d) \(f(x)=\frac{\tan (x)}{x^{2}+1}\)(e) \(f(x)=e^{x^{2}} \cdot \arctan (2 x)\)(f) \(f(x)=\sin (x)^{2} \cdot\left(\tan (x)+\cos (x)^{2}\right)\).Question 2. In geometry, the folium of Descartes is a curve given by the equation$$ x^{3}+y^{3}-3 a x y=0 $$Here, \(a\) is a constant.The curve was first proposed by Descartes in 1638 . Its claim to fame lies in an incident in the development of calculus. Descartes challenged Fermat to find the tangent line...
I just need the correct answer, thank you Suppose the speed of a car approaching a...
I just need the correct answer, thank you
Suppose the speed of a car approaching a stop sign is given by it:- (-10° for Osts 10, wharets measured in seconds and it is measured in meters per second a. Find v' (3) b. Interpret the physical meaning of this quantity a.V13- Find the derivative of the function and then evaluate at the given point. y = 4x2 – 3x, (-1,7) f'(x)= Enter your answer in the answer box and then...
4. Tired from the long week, with the amusement park and the wok and dinner plate designs, you retreat to be in peace and study parametric equations. A curious leaflike curve called the "foli...
4. Tired from the long week, with the amusement park and the wok and dinner plate designs, you retreat to be in peace and study parametric equations. A curious leaflike curve called the "folium of Descartes" catches your eye; it is defined by the parametric equations 3t 3t2 (a) (4 points) Show that if the point (a, b) lies on the curve, then so does (b, a); that is, the curve is symmetric with respect to the line y a....
please answer the following parts. thank you in advance Let's consider the problem that has given rise to the...
please answer the following parts. thank you in advance
Let's consider the problem that has given rise to the branch of calculus called differential calculus: the tangent problem. This problem relates to finding the slope of the tangent line to a curve at a given point. To understand how this is done we are going to consider the point (0,0) on the graph of-snx. (5) 1. On graph paper, sketch the graph of y-sin and draw a tangent line at...
please answer all the following parts neatly. thank you Let's consider the problem that has given rise t...
please answer all the following parts neatly. thank you
Let's consider the problem that has given rise to the branch of calculus called differential calculus: the tangent problem. This problem relates to finding the slope of the tangent line to a curve at a given point. To understand how this is done we are going to consider the point (0,0) on the graph of f)-sinx (5) . On graph paper, sketch the graph of -sinx and draw a tangent line...
i need help with all parts. i will rate. thank you very much. V= i +...
i need help with all parts. i will rate.
thank you very much.
V= i + 3y + 2k The angle this vector makes with the xy-plane is approximately 16.6° 19.7° 66.2° o 73.4° Which of the following vector fields in the plane is conservative? O F(x,y) = (2xy)i + (3y2); F(x,y) = (- x2y)i + (2xy?) O F(x,y) = (3xy?)i + (6xy)j F(x,y) = (5x2y3)i + (10xy?) The curve defined by r(t) = (t, 4t, 8t) from t=0 to...
please help me answer All of these questions. Thank you! 1. Use the limit definition of...
please help me answer All of these questions. Thank you!
1. Use the limit definition of the derivative - lift+A) 6 to find the derivative of the following function: f(x) = 3x-2x? You must SHOW YOUR WORK: 2. Find the slope of the tangent line at x = 4 (using the derivative you just found) 3. Using the point-slope form of the line, find the equation of the tangent line at x=4. Isolate the y. 1. Find the derivatives using...
please include your process of getting to the answer Given the curve 2 + y =...
please include your process of getting to the
answer
Given the curve 2 + y = 1+ 3xy, we want to find the equation of the tangent line at the point (2, -1). Which of the following equation correctly characterizes the relationship between and y? out Select one: 3x2 + 3y2 () = 1 + 3y2 + 6xy (4) • 3x + 3yº ( 3 ) = 1 +6xy (6) e 3z2 + 3y2 (*) = 1+ 6xy ° 32°...
I don't know how to do both a
and b
16. The folium of Descartes is the curve C c R2 described by the equation a) Give a parametrization of C. Hint: Use t y/r as parameter b) Compute the area of the "leaf."
16. The folium of Descartes is the curve C c R2 described by the equation a) Give a parametrization of C. Hint: Use t y/r as parameter b) Compute the area of the "leaf."
A very important application of Green's theorem is that the bounded domain cut out by a simple closed curve C has area given by: x dy - ydx where C is traversed in the counterclockwise way. Find the area of the of folium of Descartes in the first quadrant given by the equation Hint: You will need to directly compute the above line integral and thus you will need a parametrization for the folium in the first quadrant. The parameter...
I just need the correct answer, thank you
Suppose the speed of a car approaching a stop sign is given by it:- (-10° for Osts 10, wharets measured in seconds and it is measured in meters per second a. Find v' (3) b. Interpret the physical meaning of this quantity a.V13- Find the derivative of the function and then evaluate at the given point. y = 4x2 – 3x, (-1,7) f'(x)= Enter your answer in the answer box and then...
4. Tired from the long week, with the amusement park and the wok and dinner plate designs, you retreat to be in peace and study parametric equations. A curious leaflike curve called the "folium of Descartes" catches your eye; it is defined by the parametric equations 3t 3t2 (a) (4 points) Show that if the point (a, b) lies on the curve, then so does (b, a); that is, the curve is symmetric with respect to the line y a....
please answer the following parts. thank you in advance
Let's consider the problem that has given rise to the branch of calculus called differential calculus: the tangent problem. This problem relates to finding the slope of the tangent line to a curve at a given point. To understand how this is done we are going to consider the point (0,0) on the graph of-snx. (5) 1. On graph paper, sketch the graph of y-sin and draw a tangent line at...
please answer all the following parts neatly. thank you
Let's consider the problem that has given rise to the branch of calculus called differential calculus: the tangent problem. This problem relates to finding the slope of the tangent line to a curve at a given point. To understand how this is done we are going to consider the point (0,0) on the graph of f)-sinx (5) . On graph paper, sketch the graph of -sinx and draw a tangent line...
i need help with all parts. i will rate.
thank you very much.
V= i + 3y + 2k The angle this vector makes with the xy-plane is approximately 16.6° 19.7° 66.2° o 73.4° Which of the following vector fields in the plane is conservative? O F(x,y) = (2xy)i + (3y2); F(x,y) = (- x2y)i + (2xy?) O F(x,y) = (3xy?)i + (6xy)j F(x,y) = (5x2y3)i + (10xy?) The curve defined by r(t) = (t, 4t, 8t) from t=0 to...
please help me answer All of these questions. Thank you!
1. Use the limit definition of the derivative - lift+A) 6 to find the derivative of the following function: f(x) = 3x-2x? You must SHOW YOUR WORK: 2. Find the slope of the tangent line at x = 4 (using the derivative you just found) 3. Using the point-slope form of the line, find the equation of the tangent line at x=4. Isolate the y. 1. Find the derivatives using...
please include your process of getting to the
answer
Given the curve 2 + y = 1+ 3xy, we want to find the equation of the tangent line at the point (2, -1). Which of the following equation correctly characterizes the relationship between and y? out Select one: 3x2 + 3y2 () = 1 + 3y2 + 6xy (4) • 3x + 3yº ( 3 ) = 1 +6xy (6) e 3z2 + 3y2 (*) = 1+ 6xy ° 32°...
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