
X Using the substitution u=tan( ) the value of cot x = U 1- u2 2u...
79. Parametrised Surface 1. Consider the parametrised surface defined by: x 2u, y u2+ v (a) Find a vector normal to the surface in terms of u and v. (b) For what values of u and v is the surface smooth? (c) Find the equation of the tangent plane to the surface at (0,1, 1)
79. Parametrised Surface 1. Consider the parametrised surface defined by: x 2u, y u2+ v (a) Find a vector normal to the surface in terms...
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u ule exact value of the expression 1) cos? 30+ cos? 60 2) cot 45-tan 45 5-6 Use the given information to find the exact value 3) sin? 53 + cos2 53 4) cot 20 -tan 20 5) sin = , where is in quadrant 1. Find tan 6) tan 0 = - , where is in quadrant 4. Find sec 7-12 Verify the identity 7) tan sin cos 0 = sin? 8) tane = sine 9) tancos? +...
verify the following 1) tan x+cot y= sin(x+y)/cos x sin y 2) tan 5x + cot 5x = 2 csc 10x
Given the substitution u=tan(x/2) then squareroot sin(2x) is:?
cot B-tAn a cos a sin B Sm (50) sin (ae) E Sin (tan u-tan v)
1. For all x, the function f(x) = tan-',+ cot-1, has derivative f'(z)-12-17 0 1 +22 So f(x) must be a constant. a) What is that constant ? b) Explain by using a triangle c) What is limz+ */2-tan cot
Make a u-substitution and integrate from u(a) to u(b). x/20 5 tan 5x sec25x dx 15 x/20 5 tan 5x sec 25x dx = [] (Simplify your answer.) -115
Solving Using the Quadratic Formula ve. (Find all complex-number solutions.) u2 + 2u – 4 = 0
Verify the identity: sin x (cot x + tan x) = sec x
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using u substitution
Find fav? + 1dc by using substitution. 1. Let u= 2. Then du = 3. Solve for a from part "1". x2 = (Answer needs to be in terms of u and du. ) 5. integrate, leave in terms of u. 4. Make the substitution into the integral. po vo? + ide = f"x++ido I 6. Change your answer in 5 so that it is in terms of a 1dx =