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Finding the curvature of a vector function My Solutions > Find the curvature of the curve traced ...
a) Find the length of the curve traced by the given vector function on the indicated...
a) Find the length of the curve traced by the given vector function on the indicated interval: r(t)e' costie' sin tj+e'k 0<t<In2 b) Find the gradient of the scalar function f 6xyz + 2x+ xz at (1, 1, -1) c) Find the curl of the given vector field: F(x, y,z) 4xyi + (2x2 +2yz)j+(3z2+y2)k
Finding Unknown Constants Given Boundary Conditions My Solutions Recall that when we find the ant...
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Finding Unknown Constants Given Boundary Conditions My Solutions Recall that when we find the antiderivative of a function, we include a C at the end of the answer since this will not change the derivative of the answer (the derivative of any constant is zero). Often, we are given a second derivative with specific boundary conditions which allow us to find the unknown constants by substituting the values for x and y into the...
Find the curvature of the curve defined by F(t) = 227 + 5tj K= Evaluate the...
Find the curvature of the curve defined by F(t) = 227 + 5tj K= Evaluate the curvature at the point P(54.598, 10). Find the Tangent vector, the Normal vector, and the Binormal vector (T, Ñ and B) for the curve F(t) = (4 cos(5t), 4 sin(5t), 2t) at the point t = 0 T(0) - N(0) = BO) - Find the Tangent, Normal and Binormal vectors (T, Ñ and B) for the curve F(t) = (5 cos(4t), 5 sin(4t), 3t)...
HW5 Problem 1 Creating Symbolic Expressions My Solutions > Problemi In the circuit below, the voltage...
HW5 Problem 1 Creating Symbolic Expressions My Solutions > Problemi In the circuit below, the voltage source is given by v(t) = 12cos(400t - 30°). R1 = R2 = R3 = 51 and L1 = L2 = 20mH and C = mF. Please answer the following questions. w LI NL2 m i4 w un i3 R3 a) Transform the circuit into phasor domain b) Write out KCL for node N1 and N2 in the phasor domain c) Use KVL to...
Find the unit tangent vector T and the curvature k for the following parameterized curve. r(t)...
Find the unit tangent vector T and the curvature k for the following parameterized curve. r(t) = (3t+2, 5t - 7,67 +12) T= 000 (Type exact answers, using radicals as needed.) JUNIL Score: 0 of 2 pts 42 of 60 (58 complete) HW Score: 72.17%, 7 X 14.4.40 Ques Determine whether the following curve uses arc length as a parameter. If not, find a description that uses arc length as a parameter. r(t) = (7+2,8%. 31), for 1sts Select the...
Consider the following vector function. r(t) = 5t, ed, e) (a) Find the unit tangent and...
Consider the following vector function. r(t) = 5t, ed, e) (a) Find the unit tangent and unit normal vectors T(t) and N(t). T(t) N(t) (b) Use this formula to find the curvature. k(t) =
Please answer all parts with full, clear solutions so i can understand :) :) Q2 (6 points) If C is a smooth plane curve...
Please answer all parts with full, clear solutions so i can
understand :) :)
Q2 (6 points) If C is a smooth plane curve with parametrization r r(t),t E [a, b], then the curvature K(t) of C at the point r(t) is defined to be the magnitude of the rate of change -ll dT of the unit tangent vector with respect to the arc length. That is, = ds () [2p] Show that K(t) = ||F (C) xr" (t)|| r...
a. Find the curvature of the curve r(t)- (9+3cos 4t)i-(6+sin 4t)j+10k. o. Find the unit tangent vector T and the principal normal vector N to the curve -π/2<t<π/2. r(t) = (4 + t)i-(8+In(sec...
a. Find the curvature of the curve r(t)- (9+3cos 4t)i-(6+sin 4t)j+10k. o. Find the unit tangent vector T and the principal normal vector N to the curve -π/2<t<π/2. r(t) = (4 + t)i-(8+In(sect))j-9k, Find the tangential and normal components of the acceleration for the curve r(t)-(t2-5)i + (21-3)j +3k.
a. Find the curvature of the curve r(t)- (9+3cos 4t)i-(6+sin 4t)j+10k. o. Find the unit tangent vector T and the principal normal vector N to the curve -π/2
3. Consider the vector-valued function: r(t) = Vt +1 i + pi a. State the domain...
3. Consider the vector-valued function: r(t) = Vt +1 i + pi a. State the domain of this function (using interval notation). b. Find the open intervals on which the curve traced out by this vector-valued function is smooth. Show all work, including r 't), the domain of r', and the other required steps. c. Provide a careful sketch of the path traced out by this function below. Include at least 3 points on the graph of this function. Assume...
Choose the correct integral for finding the length of the curve given by the vector equation,...
Choose the correct integral for finding the length of the curve given by the vector equation, r(t) = 3i+(2+1)j + (1 +e')k, Ostsi Select one: 0 o S'V9+972 +ezi de o S' (312 +e')dt o S"(3/1 +82 +e') di 0 O No correct answer S'V914+e21 dt 0
a) Find the length of the curve traced by the given vector function on the indicated interval: r(t)e' costie' sin tj+e'k 0<t<In2 b) Find the gradient of the scalar function f 6xyz + 2x+ xz at (1, 1, -1) c) Find the curl of the given vector field: F(x, y,z) 4xyi + (2x2 +2yz)j+(3z2+y2)k
Need help what is the answers
Finding Unknown Constants Given Boundary Conditions My Solutions Recall that when we find the antiderivative of a function, we include a C at the end of the answer since this will not change the derivative of the answer (the derivative of any constant is zero). Often, we are given a second derivative with specific boundary conditions which allow us to find the unknown constants by substituting the values for x and y into the...
Find the curvature of the curve defined by F(t) = 227 + 5tj K= Evaluate the curvature at the point P(54.598, 10). Find the Tangent vector, the Normal vector, and the Binormal vector (T, Ñ and B) for the curve F(t) = (4 cos(5t), 4 sin(5t), 2t) at the point t = 0 T(0) - N(0) = BO) - Find the Tangent, Normal and Binormal vectors (T, Ñ and B) for the curve F(t) = (5 cos(4t), 5 sin(4t), 3t)...
HW5 Problem 1 Creating Symbolic Expressions My Solutions > Problemi In the circuit below, the voltage source is given by v(t) = 12cos(400t - 30°). R1 = R2 = R3 = 51 and L1 = L2 = 20mH and C = mF. Please answer the following questions. w LI NL2 m i4 w un i3 R3 a) Transform the circuit into phasor domain b) Write out KCL for node N1 and N2 in the phasor domain c) Use KVL to...
Find the unit tangent vector T and the curvature k for the following parameterized curve. r(t) = (3t+2, 5t - 7,67 +12) T= 000 (Type exact answers, using radicals as needed.) JUNIL Score: 0 of 2 pts 42 of 60 (58 complete) HW Score: 72.17%, 7 X 14.4.40 Ques Determine whether the following curve uses arc length as a parameter. If not, find a description that uses arc length as a parameter. r(t) = (7+2,8%. 31), for 1sts Select the...
Consider the following vector function. r(t) = 5t, ed, e) (a) Find the unit tangent and unit normal vectors T(t) and N(t). T(t) N(t) (b) Use this formula to find the curvature. k(t) =
Please answer all parts with full, clear solutions so i can
understand :) :)
Q2 (6 points) If C is a smooth plane curve with parametrization r r(t),t E [a, b], then the curvature K(t) of C at the point r(t) is defined to be the magnitude of the rate of change -ll dT of the unit tangent vector with respect to the arc length. That is, = ds () [2p] Show that K(t) = ||F (C) xr" (t)|| r...
a. Find the curvature of the curve r(t)- (9+3cos 4t)i-(6+sin 4t)j+10k. o. Find the unit tangent vector T and the principal normal vector N to the curve -π/2<t<π/2. r(t) = (4 + t)i-(8+In(sect))j-9k, Find the tangential and normal components of the acceleration for the curve r(t)-(t2-5)i + (21-3)j +3k.
a. Find the curvature of the curve r(t)- (9+3cos 4t)i-(6+sin 4t)j+10k. o. Find the unit tangent vector T and the principal normal vector N to the curve -π/2
3. Consider the vector-valued function: r(t) = Vt +1 i + pi a. State the domain of this function (using interval notation). b. Find the open intervals on which the curve traced out by this vector-valued function is smooth. Show all work, including r 't), the domain of r', and the other required steps. c. Provide a careful sketch of the path traced out by this function below. Include at least 3 points on the graph of this function. Assume...
Choose the correct integral for finding the length of the curve given by the vector equation, r(t) = 3i+(2+1)j + (1 +e')k, Ostsi Select one: 0 o S'V9+972 +ezi de o S' (312 +e')dt o S"(3/1 +82 +e') di 0 O No correct answer S'V914+e21 dt 0
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