Find the limit. lim (5 sin ?x+ 5 cos?y + sec?z) P(7.7,0) lim (5 sin?x+5 cos?y...
Let lim f(x) 15 and lim g(x)=5. Use the limit rules to find the following limit. x-+5 x- 5 lim [fx)-g(x) X 5 lim [f(x)-g(x)) x 5 (Simplify your answer.) Let lim f(x) 15 and lim g(x)=5. Use the limit rules to find the following limit. x-+5 x- 5 lim [fx)-g(x) X 5 lim [f(x)-g(x)) x 5 (Simplify your answer.)
show work 9. tan 37 10. sec 4 11. Find sin(x + y) and cos(x + y) if cosx = - cosy = -— x is in quadrant II and y is in quadrant III. [10] 12. Find the exact value of sin 2x and cos 2x if sin x = and cos x = - [6] 5 13. Simplify tan (x + 3) to a form involving sinx, cosx, and/or tanx. [6]
Find the limit by rewriting the fraction first lim x-y 10-10y lim (Simplify your answer. Type an exact answer, using radicals as needed) Find the limit by rewriting the fraction first lim x-y 10-10y lim (Simplify your answer. Type an exact answer, using radicals as needed)
1. Express the limit as a derivative and evaluate. 17 lim 16+h-2 lim 2. Calculate y. tan x 1 + cos x y sin(cos x) y= sec(1 +x2) x cos y + sin 2y xy Use an Implicit Differentiation] 3. Find y" if x, y,6-1. [Use Implicit Differentiation] 4. Find an equation of the tangent to the curve at the given point. 121 12+ 1 [Use Implicit Differentiation] 4. Find the points on the ellipse x2 + tangent line has...
Find the limit: sin(30) cos(20) lim 00
Problem 5: (15 points) (a) Find the limit sin(2x)-2c lim ェ→0 (b)Find the limit lim (sin1/x-/2) ι π /2 Problem 5: (15 points) (a) Find the limit sin(2x)-2c lim ェ→0 (b)Find the limit lim (sin1/x-/2) ι π /2
y = cos(9.2) dy Find Type sin(x) for sin(x), cos(x) for cos(2), and so on. Use x^2 to square x, x^3 to cube x, and so on. Use (sin(x) y^2 to square sin(x). Do NOT simplify your answer.
1. Consider lim (z,y)=(0,0) 2 + y2 Compute the limit along the two lines y = 0 and yma. 2. Let F(x,y) = sin(x”y), where = sin(u) + cos(u) and y = ew. Use the chain rule (substitution will earn zero credit) to find 3. Find the maximum rate of change of f(x,y) - eat (1,1) and the direction in which it occurs.
16 Find the limit. lim (In xj8/x X-> 00 lim (In x)/x = (Simplify your answer.) X-00
sin(sin x) Find the limit lim 0-10 sin 2