Differentiate. y = 4x/ (7 − tan(x))
7. Evaluate each of the following limits. tan x e-4x -e 4x a) lim x0 2x b) lim XOCOS X+1
Verify that the equation is an identity. sec *x-tan 4x = 2 sec 2-1 To verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transfer sec 4x-tan 4x = sec?x + tan x) Factor the difference of two squares. O(secx+ tanºx) (Type an exact answer in simplified form.) Choose an identity, and use it to transform tan-x. Then simplify. = 2 secx-1 7
integrate. state du and u
a) tan(4x sec (4x)dr dx r +1 b) dx x +1 c) csc (3xax
a) tan(4x sec (4x)dr dx r +1 b) dx x +1 c) csc (3xax
Differentiate. #’s 1,3, and 5 please
5.S LALT 1-16 Differentiate 2. f(x) = x cos x + 2 tanx 1. f(x) = x2 sin x 3. f(x)ecos x 2 sec x 4. y csC x 6. g(0)= e'(tan 0 e) 5. y = sec 0 tan 0 cot t
5.S LALT 1-16 Differentiate 2. f(x) = x cos x + 2 tanx 1. f(x) = x2 sin x 3. f(x)ecos x 2 sec x 4. y csC x 6. g(0)=...
cos x + cos 2x cos 3x+ cos 4x 0, is a) 3 c) 7 b) 5 d) 9 Let tan-1 y = tan, + tan-1 ( tan-1 (-Zr where |x| < + v/3 Then a value of y is 1-3z2 1-32 1 + 3z2 1+3 If the angles of elevation of the top of a tower from three collinear points A, B and C, on a line leading to tower, are 300 450 and 60 respectively then the ratio,...
Compute f (x) for f(x)=tan(e-3x + sin 4x + 2) a. f(x)=(-3e-3x + 4cos 4x) sec?(e-3x + sin 4x+2) b. None of the other answers oc f'(x) = sec?(-e-3x + 4cos 4x) d. f'(x) =(e-3x + sin 4x) sec?(e-3x + sin 4x+1)
Verify that the equation is an identity. tan 4x - secºx = -2 tan ?x-1 To verify the identity, start with the more complicated side and transform it to look like the other side. Choose each step. Factor the tan "x-secºx = »(tan?x + sec sec?x) difference of two squares tan?X + 2 tan x sec X + sec? = (Тут Apply a Pythagorean identity. tan?X + sec? tan?x-2 tan x sec X + sec?x Choose an identity, ar fy....
Find fxy(x.y) if f(x,y) = 4x² +6y2 -2. fxy(x,y) = i View an Example Х Find fxy(x,y) if f(x,y) = 13x + 5y-7. To find fxy(x,y), the second partial derivative, we will first find tx(x,y), the first partial derivative with respect to x. To find the derivative of 13x + 52 - 7 with respect to x, treaty as a constant. 6(x,y)-(13x² + 5y? - 7) = 26x To find fxy(x,y), we will differentiate fx(x,y) - 26x with respect to...
Question 4 a) Differentiate with respect to x, i. y = sin 2x ii. y = x In(5x + 2) b) Show that if y = cotx, dy dx -cosec? x c) Show that if y = tan x, then dy dx 1 1+xal Question 5 Use calculus to find any turning points of the function A(t) = te-020 and determine their nature (maximum, minimum or inflexion) using any method. Question 6 a) Find tan” x dx b) Use integration...
Direct Proof For ∀x ∈ R, if 0<x-3 then 7< 4x. Prove by contraposition For ∀x,y ∈ R, if x+5 ≤ y+2 then x ≤ y. Prove by contradiction For ∀x,y ∈ R, if xy< 4 then x<2 or y<2.