Please answer all three, (: Consider the spiral given parametrically by -0.3 sin (4t) = 6e...
Consider the spiral given parametrically by z(t) = 6e 0.4 sin (2) y(t) = 6e 0.4t cos (2) on the interval 0<t< 5. -3 -2 -1 0 1 2 3 4 5 Fill in the expression which would complete the integral determining the arc length of this spiral on 0 <t<5. dt Submit Answer Tries 0/8 Determine the arc length of the given spiral on 0<t<5. Submit Answer Incorrect. Tries 1/8 Previous Tries Now determine the arc length of the...
Consider the parametric curve given by x(t) = 16 sin3(t), y(t) = 13 cos(t) − 5 cos(2t) − 2 cos(3t) − cos(4t), where t denotes an angle between 0 and 2π. (a) Sketch a graph of this parametric curve. (b) Write an integral representing the arc length of this curve. (c) Using Riemann sums and n = 8, estimate the arc length of this curve. (d) Write an expression for the exact area of the region enclosed by this curve.
Please answer all parts The velocity v(t) of a sprinter on a straight track is shown in the graph below. 11 9 7 5 v(t) 3 1 -1 -3 0 2 8 10 t Determine the evaluaton of each definite integral. 564 v(t) dt = 547 v(t) dt = 5610 v(t) dt = 0 5,10 v(t) dt =- Submit Answer Incorrect. Tries 2/8 Previous Tries If s'(t)=v(t), then s(t) is the position of the runner at time t. Let s(0)=-4,...
true ir false. PLEASE answer asap! 1. If () is defined for t > 0, then its Laplace transform is given by S e rt)ds 2 c(cos 2t) - .. 3. с{:} = 4 4. (6e-ге) = 5. (ut – 3) + 2 (t – 5)) = " + 2 но оо оо оо wo oo o o o o 6. If (6) had period 4, then then c{f() = -le-stf(t) dt 7. г-1 А) = 3t?
Determine the potential for the field: } = (-6 cos (2y), 12x sin (2y), 5 cos (1z) – 5z sin (1x)) Do not put the constant "+c" for the potential in your answer below. f (x, y, z) = -12x*cos(2y)+5z*sin(z) Submit Answer Incorrect. Tries 1/8 Previous Tries Now calculate F. dr where C is the path † (t) = ( 4 cos t, 4 sin t, 3t) for 0 <tst. The line integral equals 0
Determine the potential for the field: } = (-6 cos (2y), 12x sin (2y), 5 cos (1z) – 5z sin (1z)) Do not put the constant "+c" for the potential in your answer below. f(x, y, z) = Submit Answer Tries 0/8 Now calculate 18.di where C is the path ř (t) = (4 cos t, 4 sin t, 3t) for 0 <tsa. The line integral equals
Please show work on the first problem. Corresponding Worksheet: Line Integrals All books, notes, and electronic devices should be put away during this quiz. 1. Let C be a curve in the ry-plane parameterized by Ft), a stab. What is the significance/meaning of the integral 1 ds? 2. Which the following represents the line integral of f(x,y) - 2x + y along the curve given by (21. + 3) where 0 <t<1. Circle your answer. t) - S (56 +3)/34...
The velocity v(t) of a sprinter on a straight track is shown in the graph below. 11 7 5 v(t) 1 -1 2 10 Determine the evaluaton of each definite integral. Sov(t)dt = 26 S4? (t)dt = 10 5 710 v(t) dt = 4 Soto v(t) dt = 40 Submit Answer Incorrect. Tries 5/8 Previous Tries If s'(t)=v(t), then s(t) is the position of the runner at time t. Let s(0)=-7, determine the following values. s(4) - 13 (5) -...
Find \(\mathrm{dy} / \mathrm{dt}\).12) \(y=\cos ^{5}(\pi t-8)\)A) \(-5 \pi \cos ^{4}(\pi t-8) \sin (\pi t-8)\)B) \(-5 \cos ^{4}(\pi \mathrm{t}-8) \sin (\pi \mathrm{t}-8)\)C) \(5 \cos ^{4}(\pi t-8)\)D) \(-5 \pi \sin ^{4}(\pi t-8)\)Use implicit differentiation to find dy/dx.13) \(x y+x=2\)A) \(-\frac{1+y}{x}\)B) \(\frac{1+y}{x}\)C) \(\frac{1+x}{y}\)D) \(-\frac{1+x}{y}\)Find the derivative of \(y\) with respect to \(x, t\), or \(\theta\), as appropriate.14) \(y=\ln 8 x^{2}\)A) \(\frac{2}{x}\)B) \(\frac{1}{2 x+8}\)C) \(\frac{2 x}{x^{2}+8}\)D) \(\frac{16}{x}\)Find the derivative of \(\mathrm{y}\) with respect to \(\mathrm{x}, \mathrm{t}\), or \(\theta\), as appropriate.15) \(y=\left(x^{2}-2 x+6\right) e^{x}\)A)...
Answer all three parts of the question Q2. For the op-amp circuit as shown below, given that Rs 6.5 kQ, R 23 k, R2-74 k2, R3 10.5 ka, R - 2 Vcc R2 RL R3 (Q2a) Determine the voltage gain G-vo/vs 3.1365 Submit Answer Incorrect. Tries 1/3 Previous Tries (Q2b) If vs= 1.5 v, find Thevenin equivalent circuit looking at vo towards the circuit by determining vm and Rh VTh (V)i RTh (k2) Submit Answer Tries 0/3 (Q2c) Determine Ry...