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36a and 37 12:41 - A A) a a lies between the points (0,0) and (1,1)....
Evaluate the line integral of the function f(x,y)= (x+y2)/(sqrt(1+x2)) over the curve C: y=x^2/2 ; from (1,1/2) to (0,0)
(10 points each) Consider the curve y = r² from the point (1,1) to the point (2,4). Determine the arc length of the curve. You do not need to evaluate the definite integral! Just set it up!
q4 please thanks (1) Let A - (0,0), B- (1,1) and consider the veetor field f(r, y,z)vi+aj. Evaluate the line integral J f.dr )along the parabola y from A to B and (i)along the straight line from A to B. Is the vector field f conservative? (2) For the vector feld f # 22(r1+ gd) + (x2 + y2)k use the definition of line integral to (3) You are given that the vector field f in Q2 is conservative. Find...
9. Green's Theorenm a. Green's Theorem: ap Fdx+Fzdy- b. Let C be the path from (0,0) to (1,1) along the graph of y-x3 and from (1,1) to (0,0) along the graph of y x. Draw a sketch of C. Theorerm to compute ф F-ds where Fay3 dx + (x343xy?) dy and C is the path that you drew in 11a. 9. Green's Theorenm a. Green's Theorem: ap Fdx+Fzdy- b. Let C be the path from (0,0) to (1,1) along the...
CHANGING COORDINATES/BASIS Question 1. Let R be the triangle in R2 with vertices at (0,0), (-1,1), and (1,1). Consider the following integral: 4(x y)e- dA. R Choose a substitution to new coordinates u and v that will simplify this integrand. Draw a sketch of both the region R and the image of the region in the u,v-plane. Evaluate the integral in the new coordinate system. Warning: No matter what strategy you use for this integral, it will require at least...
3. (12 points) Evaluate the line integral S y3dx + (x3 + 3xy2)dy , where C is the path from (0,0) to (1,1) along the graph y = x3 and from (1,1) to (0,0) along the graph of y=x.
what is the answer? (1 point) Finding the length of a curve. Arc length for y = f(x). Let f(x) be a smooth function over the interval [a, b]. The arc length of the portion of the graph of f(x) from the point (a, f(a)) to the point (b, f(b)) is given by V1 + [f'(x) dx Part 1. Let f(x) = 2 ln(x) - Setup the integral that will give the arc length of the graph of f(x) over...
someone please help me solve this question 5(a,b,c). thank you!!! 5.) Consider the function f(x) = 42 a.) Find the critical point/s of f(x) and classify each critical point if possible. b.) Sketch a graph of the function between x = 0 and x = 3 c.) Find an integral that will calculate the volume of the solid created when you rotate the curve from part (b) around the y-axis. Leave your answer in terms of a definite integral and...
Find the arc length of the graph by partitioning the x-axis. {(x2 + 133/2, from * = 3 to x = 6 y = 4. [-/3 Points] DETAILS SULLIVANCALC2 6.5.029. For the function, do the following. y = 16 – x2, from x = 0 to x = 1 (a) Use the arc length formula (1), dx, to set up the integral for arc length s. SV 3+ [fc] 1) ox S = (b) If you have access to a...
1. Sketch the graph of the parametric curve and eliminate the parameter, giving any limits on x and y. x = 3sint 051321 Wy=4cost (x=sin(t from (v=en 2. Write (but do not evaluate) an integral expression that represents the arc length of 1=0 to 1 =