2 Write the given algebraic expression as a function of e, where 0 <e< by using...
Use the given substitution to express the given radical expression as a trigonometric function without radicals. Assume 0<O</2. Let x = 6 cos e in 36 - x2 V36- x2 (Simplify your answer. Type an expression using as the variable.)
Write the following as an algebraic expression involving only x. Assume x <0. sin(arcsin x + arccos x)
Write the following expression as an algebraic expression. V3 tan where x > 0 V22 +
Write the parametric equations x=2siny=4cos0 in the given Cartesian form. y^2/16= with x0. Write the parametric equations x=2sin2y=5cos2 in the given Catesian form. y= with 0x2. Write the parametric equations x=4ety=8e−t as a function of x in Cartesian form. y= with x0. Write the parametric equations x = 2 sin 0, y = 4 cos 0, 0<O< in the given Cartesian form. = with x > 0. 16 Write the parametric equations x = 2 sin’e, y = 5 cos?...
5. Make the trigonometric substitution r=a sec for 0 < < x/2 and a > 0. Use fundamental identities to simplify the resulting expression. You must show your work for credit! a. a' sec' etane b. 1 a cosecote 1 sin cos e a d. a tane e. c 1 cosa 6. Select all statements below that are true about the following equation: sect- a. The equation is not an identity because the equation is false when t b. The...
Calculate where: and S is the cone portion along with the circular cap ,oriented with the normal vector in the direction of the negative y axis. Ils rot(F)as F = (x2 + 3 cos(x + 2?) + arctan(x² +1) + za?i + (z?yz + x cos(y + 2)e+93)j + (-12? + sin(z? + ln(z+1))e+P+1) = x² + x2,2 <r<6 x2 + x2 < 4, y = 2
Use the trigonometric substitution to write the algebraic expression as a trigonometric function of e, whe V 9 - x x = 3 sin e
Evaluate // e-(x+vº)dA where D = {(x,y): x2 + y2 <1,1 20, y 2 0}.
1 6. Where is the function f(x) { { - X4 if x # 0 discontinuous? if x = 0 0 Is this a removable discontinuity? ex if x < 0 7. Where is the function f(x) discontinuous? x2 if x > 0 Is this a removable discontinuity? Is it a jump discontinuity? f(x) = {
Write the expression as an algebraic (nontrigonometric) expression in u, u> 0. cos (arctanu) cos (arctan u) = 0 (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Rationalize all denominators.) The following function approximates the average monthly temperature y (in °F) in a city. Here x represents the month, where x= 1 corresponds to January, x=2 corresponds to February, and so on. Complete parts (a) (b). flx) = 11 sin [«- 49]+50...