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The given point is on the curve. Find the lines that are (a) tangent and (b)...
Explain how to compute the surface integral of scalar-valued function f over a sphere using an explicit description of...
Explain how to compute the surface integral of scalar-valued function f over a sphere using an explicit description of the sphere. Choose the correct answer below. 2 h O A. Compute f(a cos u,a sin u,v)a sin u dv du 0 0 2Tt h O B. Compute f(a cos u,a sin u,v) dv du. 0 0 2 O C. Compute f(a sin u cos v,a sin u sin v,a cos u) dv du. 0 0 2 S. O D. Compute...
Find an equation of the tangent to the curve at the point corresponding to the given...
Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. x = cos(O) + sin(40) y = sin(0) + cos(40) O = 0 y(x) = Need Help? Read It Talk to a Tutor 2. [-14 Points] DETAILS SESSCALCET1 9.2.010. Consider the following: x = t3 - 12t y = 2 - 1 (a) Find the following. dy dr = dy dr2 = (b) For which values of t is the...
12 points) Note: The formulas for the Fourier transform on half intervals are often given in...
12 points) Note: The formulas for the Fourier transform on half intervals are often given in the form { ). f(x)cos L dx, with the Ź outside the integral. Computing these integrals will often involve u-substitutions, integration by parts, and other integration techniques that will produce all kinds of constants. With the way these problems are asked in WebWork, it would be hard to keep track of when constants should be factored out or not, so we will adopt the...
2. Find the equation of the tangent line to the curve at the given point. x...
2. Find the equation of the tangent line to the curve at the given point. x = 2 - 3 cos , y = 3 + 2 sin a t (-1,3)
(b) Let C be the closed curve formed by intersecting the cylinder x2 +y= 1 with the plane x z= 2. Let the tangent to th...
(b) Let C be the closed curve formed by intersecting the cylinder x2 +y= 1 with the plane x z= 2. Let the tangent to the curve from above. point in the anti-clockwise direction when viewed Calculate the line integral (e (e sin y+ 4) dy+(e(cos z+ sin z)+ay) dz. cos x2yz) dx +
(b) Let C be the closed curve formed by intersecting the cylinder x2 +y= 1 with the plane x z= 2. Let the tangent to the...
Use integration by parts to derive the following formula. ſxIn \/ dx=x** 12+Cnt=1 (n+1) If u...
Use integration by parts to derive the following formula. ſxIn \/ dx=x** 12+Cnt=1 (n+1) If u and v are differentiable functions, then udv=uv - vdu. Let udv = x. In|x dx. Determine the best expressions for u and dv. Select the correct answer below and fill in the answer boxes to complete your answer. O A. u= O B. u= dx, dv= dv= dx Find du du= dx Integrate dv to find v. The constant of integration is not introduced...
Find the point of intersection of the tangent lines to the curve r(t) = 3 sin(πt),...
Find the point of intersection of the tangent lines to the curve r(t) = 3 sin(πt), 4 sin(πt), 6 cos(πt) at the points where t = 0 and t = 0.5.
11.2.11 Find an equation for the line tangent to the curve at the point defined by...
11.2.11 Find an equation for the line tangent to the curve at the point defined by the given value of t. Also, find the value of at this point. x=t-sin ty=1 - 3 cos tt Write the equation of the tangent line. y= x+ (Type exact answers, using a as needed.)
2. We say that two curves intersect orthogonally if they intersect and their tangent lines are orthogonal at each point in the intersection. For example, the curve y = 0 intersects the curve x2 + y2-...
2. We say that two curves intersect orthogonally if they intersect and their tangent lines are orthogonal at each point in the intersection. For example, the curve y = 0 intersects the curve x2 + y2-1 orthogonally at (-1,0) and (1,0). Let H be the set of curves y2b with b ER. (a) Prove that the tangent line of each curve in H at a point (r, y) with y / 0 has slope (b) Let y -f(x) be a...
2. We say that two curves intersect orthogonally if they intersect and their tangent lines are orthogonal at each point in the intersection. For example, the curve y = 0 intersects the curve x2 + y2-...
2. We say that two curves intersect orthogonally if they intersect and their tangent lines are orthogonal at each point in the intersection. For example, the curve y = 0 intersects the curve x2 + y2-1 orthogonally at (-1,0) and (1,0). Let H be the set of curves y2-2.2-b with b є R. (a) Prove that the tangent line of each curve in H at a point (x, y) with y 0 has slope - (b) Let y-f(x) be a...
Explain how to compute the surface integral of scalar-valued function f over a sphere using an explicit description of the sphere. Choose the correct answer below. 2 h O A. Compute f(a cos u,a sin u,v)a sin u dv du 0 0 2Tt h O B. Compute f(a cos u,a sin u,v) dv du. 0 0 2 O C. Compute f(a sin u cos v,a sin u sin v,a cos u) dv du. 0 0 2 S. O D. Compute...
Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. x = cos(O) + sin(40) y = sin(0) + cos(40) O = 0 y(x) = Need Help? Read It Talk to a Tutor 2. [-14 Points] DETAILS SESSCALCET1 9.2.010. Consider the following: x = t3 - 12t y = 2 - 1 (a) Find the following. dy dr = dy dr2 = (b) For which values of t is the...
12 points) Note: The formulas for the Fourier transform on half intervals are often given in the form { ). f(x)cos L dx, with the Ź outside the integral. Computing these integrals will often involve u-substitutions, integration by parts, and other integration techniques that will produce all kinds of constants. With the way these problems are asked in WebWork, it would be hard to keep track of when constants should be factored out or not, so we will adopt the...
2. Find the equation of the tangent line to the curve at the given point. x = 2 - 3 cos , y = 3 + 2 sin a t (-1,3)
(b) Let C be the closed curve formed by intersecting the cylinder x2 +y= 1 with the plane x z= 2. Let the tangent to the curve from above. point in the anti-clockwise direction when viewed Calculate the line integral (e (e sin y+ 4) dy+(e(cos z+ sin z)+ay) dz. cos x2yz) dx +
(b) Let C be the closed curve formed by intersecting the cylinder x2 +y= 1 with the plane x z= 2. Let the tangent to the...
Use integration by parts to derive the following formula. ſxIn \/ dx=x** 12+Cnt=1 (n+1) If u and v are differentiable functions, then udv=uv - vdu. Let udv = x. In|x dx. Determine the best expressions for u and dv. Select the correct answer below and fill in the answer boxes to complete your answer. O A. u= O B. u= dx, dv= dv= dx Find du du= dx Integrate dv to find v. The constant of integration is not introduced...
11.2.11 Find an equation for the line tangent to the curve at the point defined by the given value of t. Also, find the value of at this point. x=t-sin ty=1 - 3 cos tt Write the equation of the tangent line. y= x+ (Type exact answers, using a as needed.)
2. We say that two curves intersect orthogonally if they intersect and their tangent lines are orthogonal at each point in the intersection. For example, the curve y = 0 intersects the curve x2 + y2-1 orthogonally at (-1,0) and (1,0). Let H be the set of curves y2b with b ER. (a) Prove that the tangent line of each curve in H at a point (r, y) with y / 0 has slope (b) Let y -f(x) be a...
2. We say that two curves intersect orthogonally if they intersect and their tangent lines are orthogonal at each point in the intersection. For example, the curve y = 0 intersects the curve x2 + y2-1 orthogonally at (-1,0) and (1,0). Let H be the set of curves y2-2.2-b with b є R. (a) Prove that the tangent line of each curve in H at a point (x, y) with y 0 has slope - (b) Let y-f(x) be a...
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