Which of the following expressions is equal to ln(7) T" 31 d.c အိ /က ၉30 ဝ0...
can someone please help with these four problems! 1. Integrate the following expressions: a. ln(2x) b. 5+5x^3+3x c.x^4 d. cos (4x) 2. Differentiatie the following functions: a. xcosx b.x^6 c. ln(4x) d.2 + 2x 3. what are the two roots of 4.9m/s^2 x^2-20 m/s x +2m=0 ? 4. Two vectors are given by : a=6 m i -30 m j + 6.4 m k b= -7 m i + 11 m j + 44 m k first a+b, a-b and...
he n the s a speed and t represents time. following three expressions, p is a pressure, d is a distance, m is a mass, Which of these expressions are dimensionally correct? pvf (c) log md.t ha (a) log Pt_] m.v.d (b) log PV. Lm.d.t 1. all of them 2. (a) and (b) 3. (b) and (c) 4. (a) only 5. (b) only 6. (c) only O% 0% 0% 0% 0% 0%
For the circuit shown below do the following: 1. Find expressions for vc(t) and i(t) for t 2 0. а. Find an expression for the power to the resistor, pR(t) b. Integrate the power to the resistor from t = 0 to co. С. d. Show that the total energy to the resistor is equal to the energy stored in the capacitor at t 0 Determine the time at which Vc(t) 25 V? е. t 0 i(t) vc(t) 2 HF...
16.- Which of the following expressions indicates that the Dieterici equation of state conforms to the Principle of Corresponding States RT (A) P= -e-a/V RT V-B T. 2 (B) P.= e-2/0-7. 2V - 1 T, e? (C) P. = e-2a/V.T. 2.-1 Tr e² (D) P. e-2/0.7. 20.- T. 2 (E) P, = e-20/0.7. 21.-5 O (B) О О О О О (C (D (2)
Alpha=9 beta=3 yazarsin 1. Consider the following initial-value problem. y' = e(1+B)t ln(1 + y2), 0<t<1 y (0) = a +1 a) ( 15p.) Determine the existence and uniqueness of the solution. b) ( 15p.) Use Euler's method with h = 0.25 to approximate the solution at t = 0.5. {"
what is the answer for number 4 1. Let r(t) = -i-e2t j + (t? + 2t)k be the position of a particle moving in space. a. Find the particle's velocity, speed and direction at t = 0. Write the velocity as a product of speed and direction at this time. b. Find the parametric equation of the line tangent to the path of the particle at t = 0. 2. Find the integrals: a. S (tezi - 3sin(2t)j +...
send help for these 4 questions, please show steps Definition: The AREA A of the region S that lies under the graph of the continuous function f is the limit of the sum of the areas of approximating rectangles A = lim R, = lim [f(x)Ax +f(x2)Ax+...+f(x)Ax] - 00 Consider the function f(x) = x, 13x < 16. Using the above definition, determine which of the following expressions represents the area under the graph off as a limit. A. lim...
Whats the answer to number 1? 1. Let r(t) = -i-e2t j + (t? + 2t)k be the position of a particle moving in space. a. Find the particle's velocity, speed and direction at t = 0. Write the velocity as a product of speed and direction at this time. b. Find the parametric equation of the line tangent to the path of the particle at t = 0. 2. Find the integrals: a. S (tezi - 3sin(2t)j + ick)...
CR, we typically think of t if : >0.. 1-1 if : <o'' this is the natural way we might define the 'magnitude of a real number, but it is not the only way. a.) Prove that for ry ER, we have xy = 13. lyl. b.) Construct a new function : R-R UO) such that for r, y € R, we have: 1.) ||2||=0- I = 0 and ii.) ||3+ yll |||| + llyll but iii.) xyll ||||llyll. 36....
Problem 3. Given: f(t) 3 -22 f(t) 0 otherwise 3.1 Determine which one of the following expressions is the (a) (1.5jw) (ee (b) (3/jw) (e -e Fourier transform for f: jw -jw jw) (e e 1.5jw 1.5jw (d) Bjw) (e (e) (2jw) (ee) 3.2 Rewrite F(w) as as a trigonometric sinusoidal function and sketch its wavefom. 3.3 Determine the values of first two frequency terms (w1 and w2) where F(w)-0. 3.4 Determine the inverse Fourier transform of f(t) and sketch...