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Evaluate sinº z (cos a) ºdt. Select one: a sinc COS I +6 b. None of...
integration by parts
8. Evaluate the following integrals S cos cos(*)sinº (x)dx b zsin (x)dx
du Evaluate dy at (x,y,z)= (2,3,0) for the function (0.0,5) = < Pa cos (); p=51, q=x? Iny,r=z. OA. O OB. 2 3 O c. 6 O D. 18 Click to select your answer.
b. do cos(bx) red 200 on Select one: a. In |1 – cos(bx)| + C b. - csc(bx) – cot(bx) + C In |1 – cos(bx) +C sin(bx) d. bx – In sec(bx) + tan(bx) + C C.
Evaluate Sc (2+2)dy where C is described by parametric equations x(t) = cos(t), y= sin(t), z = 2,0 <t< Select one: O A. +2 O B. 1+2 O C.-1 OD. -1 ABC is a triangle in R where A =(1,4,5), B =(2,-1,0) and C =(4, 2, -3). Find the area of ABC. Select one: O A. (-30,7, -13) O B. -2 OC. V1118 O D. VILLE
QUESTION 3 Evaluate the integral by using multiple substitutions. SV1 1 + sin2 (x-7) sin (x-7) cos (x-7) dx o 3 (1+ sinº x) (1 + sin? x)3/2 + c 3 O AV1 + sin?(x - 7) +C og (1 + sin? (x - 7)) 3/2 + c O (1 + cos2 (x - 7) 3/2 + c
4. (10 points) Find the general indefinite integral. (a) [1+ya+z dir T (b) sinº(@)cos(0) do » sin®®) (Make the substitution u = sin(0))
The value of the iterated integral z S' ()dyda - Select one: A. None of these answers B. 0 C. In( )3 D. In(3) E. In(Ķ) 3
9. Determine the area of the region bounded by the graph of f(x) = sinº(5x) cos(5x) and the x-axis between x = -0.2262 and x = 0.2953, giving your answer to 4 decimals. A) 0.0584 B) 0.0634 C) 0.0684 D) 0.0734 E) 0.0784
Find the Nyquist rates for these signals: (a) X(t) = sinc (20) (b)x(t) = 4 sinca (100t) (C) x(t) = 8 sin(50TTT) (d) x(t) = 4 sin(30TTt) + 3 cos(70nt) (e) X(t) = rect(300t) (f) X(t) = -10 sin(40nt) cos(300Tt) (g) X(t) = sinc(t/2)*710(t) (h) x(t) = sinc(t/2) 70.1() (i) X(t) = 8tri((t - 4)/12) (1) X(t) = 13e-201 cos(70TTt)u(t) (k) x(t) = u(t)-u(t-5)
6. Use l'Hopital's rule to evaluate the following limits 1+cos (Te sin(z) (a) lim z-+0 log (-1) (b) lim 92I-2 cos(TI) (c) lim r sin Page 2 of 2 0 words