c. part is correct
QUESTION 4 Provide an appropriate answer. Findau when u = 5 and v-3ìf z(x) = and x = u . V. +6 -v =23521 a. dz 135...
dz Find when u = 0, v = 2, if z = sin (xy)+xsin (y), x=u2 +2V2, and y= uv. du az = du 1 = 0, V=2 (Simplify your answer.)
Provide an appropriate answer. Find aw when u = 3 and v=-7 if w(x, y, z) = xy2,x = 4, y = u + v, and z=u•v. Odw = -4 au 49 56 dw au Odw = -8 au 49 Odw = 24 du 49
Give a parametric description of the form r(u, v) = (x(u,v),y(u,v),z(u,v)) for the following surface. The cap of the sphere x² + y2 + z = 36, for 3/3 sz56 Select the correct choice below and fill in the answer boxes to complete your choice. (Type any angle measures in radians. Use angle measures greater than or equal to 0 and less than 21. Type exact answers in terms of ..) A. Fu.v) = (6 sin u cos V,6 sin...
U Question 15 "C 7 pts "С If S is the surface of the cylinder E= {(x,y,z) : 32 + y < 4,1523}, oriented outwards, which of the following (after applying the Divergence Theorem) will compute zyz) - dS? 40 O (1 + y2 cos & sin 6)r dr de dz REC O 1988 6%" /*(1 + == sin ®)r dr do dz %%% %%% %%% (r cos 0 + 32 + y2 z cos ( sin 0), dr do...
Select the Boolean expression that is not satisfiable. 3 (z+u)(z+x)(z+x")(u+y)(u+y) (z+u")(z+x)(z+x)(u+y)(u+y) (zº+u)(z+x)(z+x")(u+y)(u+y") (z+u")(z+x)(z+x")(u+y)(u+y") 6 a Question 13 (1 point) Select the statement that is not a proposition. 12 5+4 = 8 It will be sunny tomorrow. 15 Take out the trash. 7 18 Chocolate is the best flavor. 20 21 Question 14 (1 point) p = T. q = F, and r = F. Select the expression that evaluates to true. 23 24 Срла -р avr
(1 point) 5x2 — 5у, v %3D 4х + Зу, f(u, U) sin u cos v,u = Let z = = and put g(x, y) = (u(x, y), v(x, y). The derivative matrix D(f ° g)(x, y) (Leaving your answer in terms of u, v, x, y ) (1 point) Evaluate d r(g(t)) using the Chain Rule: r() %3D (ё. e*, -9), g(0) 3t 6 = rg() = dt g(u, v, w) and u(r, s), v(r, s), w(r, s). How...
dz Consider the equation 6 sin(x + y) + 2 sin (x +z)+ sin(y +z)= 0. Find the values of and dz ду at the point (41,41,- 3x). dx dz cx (Simplify your answer. Type an exact answer, using radicals as needed.) (41,4x - 3x) dz dy (43,4%, - 3x) (Simplify your answer. Type an exact answer, using radicals as needed.)
Question 2 f'(x) glx) g(x) g'(x) x 5 6 4 z 3 z -4 3 -2 2 4 5 o -5 8 2 A. find h'll), where h(x)=2x-3f(x) 3 0 a B find hils), where h(x) = f(x) g(x) C. find h (3), where h(x) = f(g(x)) D. find n (4), where h(x)= (g(x))*
Question 14 7 pts Consider the line integral F. dr where REC IND РІ. F(x, y, z) = i + (x+yz)j + (xy – z)k and C is the boundary of the plane 2 + y + z = 4 in the first octant, oriented in the counterclockwise direction when viewed from above. the following double integrals is equivalent to this line Using Stokes' Theorem, which integral? °6964 (3 - 2z+1) du dz (2x + y) dy da Question 12...
need help for this question in full answer 2. The deflection along a uniform beam with fexual Yigidity BI- and applied load f (x) = cos (-) satisfies the equation (a) Evaluate the deflection y (x). Hint: /cos(az)dz-asin (as)+C, /sin(as)dz=-a cos(az) +C (b) Find the influence function (Green's function) G (z,f), where 0 < ξ < 2, for this problem. Hint: Since 0 < ξ < 2, H(0-E)=0, H(2-E)=1. (c) Hence write the deflection of this beam as a definite...