1. a) Substitute u = sin(x) to evaluate sin^2(x) cos^3(x) dx. [trig identity sin2(x)+cos2(x) = 1]. b) Find the antiderivatives: i) sin(2x) dx ii) (cos(4x)+3x^2) dx
If cos xdx = f(x) - 2x sin xdx, which of the followings can be the formula of the function f(x)? Sa - 12 Lütfen birini seçin: 2x Cos r?sin 2 sin + 2a cos (2_o?) cosa 4 sina sina 4 cos 2 sin
Solve the equation on the interval [0, 2π). 14) sin2 x cos2 x-o Solve the equation on the interval [0, 2r) 15) sin x 2 sin x cos x =0
∫ cos x /sin2 x + 2 sin x + 5 d x cosa sina x+2Sinx+5 Find the derivative of F=x+2y-6z by using chain rule if x=t”, y=sint and z =Int Find the directional derivative of f(x,y)=x² + xy + y2 at Po(2,3) in the 2 direction of B = i+2j 3 Show that the sequence (2n2) is divergent Find the derivative of F=x+2y-6z by using chain rule if x=t”, y=sint and z =Int Find the directional derivative of f(x,y)=x²...
Find the solutions for cos(2?)=3−sin2(?)−5cos(?)−cos2(?)cos(2x)=3−sin2(x)−5cos(x)−cos2(x), in the interval [0,2?).[0,2π). The answer(s) is/are ?= 5.5 Solutions of Trig Equations: Problem 17 Previous Problem Problem List Next Problem (1 point) Find the solutions for cos(2x) = 3 – sin?(x) - 5 cos(x) - cos(x), in the interval [0, 21). The answer(s) is/are x = Note: If there is more than one solution enter them separated by commas. If needed enter a as pi.
(a) Use the complex exponential to prove the double angle formula cos2 -sin2 a cos(2.ar) . (b) Use the complex exponential to evaluate the indefinite integral sin(4t) dt. (a) Use the complex exponential to prove the double angle formula cos2 -sin2 a cos(2.ar) . (b) Use the complex exponential to evaluate the indefinite integral sin(4t) dt.
find all solutions on [0,2?). Find exact solutions where possible. sin2?cos4?−cos2?sin4?=−0.2
If f(x) = 2x(sin x + cosa), find f'(x) = f'(1) -
Find the volume of the solid generated when the region bounded by y=14 sin x and y = 0, for 0 , is revolved about the x-axis. (Recall that ) Iく元 sin2 cos2.r) 2 Iく元 sin2 cos2.r) 2
QUESTION 3 Evaluate the integral by using multiple substitutions. SV1 1 + sin2 (x-7) sin (x-7) cos (x-7) dx o 3 (1+ sinº x) (1 + sin? x)3/2 + c 3 O AV1 + sin?(x - 7) +C og (1 + sin? (x - 7)) 3/2 + c O (1 + cos2 (x - 7) 3/2 + c