Find the range of the following functions
Please solve without using calculus

Find the range of the following functions Please solve without using calculus (vii) f(x)sin (sin x) (viii f(x) cos (cos...
please solve it without using calculus
14. Find the max and min values of f(x)=in06sin0 cos 0+3 cos2 e
Find the derivatives of the following functions. a) f(x) = sin(x²) b) g(x) = ln(cos(x)) c) h(z) – In(1002? + 47x)? d) k(z) = resin(2)
Please answer with all steps. Thanks
Given "x4 3 cos + 7 sin t 0.75_dt F(x) =let, d, G(x) =1 dt 5t0.75 0 Using the Fundamental Theorem of Calculus Part II, calculate the limit Lim
Given "x4 3 cos + 7 sin t 0.75_dt F(x) =let, d, G(x) =1 dt 5t0.75 0 Using the Fundamental Theorem of Calculus Part II, calculate the limit Lim
Calculus
Consider the following. f(x) = 9x – cos X Find the x-value at which f is not continuous. Is the discontinuity removable? (Enter NONE in any unused answer blanks.) X = ; ---Select--
Find a formula for terms of f (x) = sin x or g(x) = COS X Enter your answer in terms of sin (x) or uments of functions in parentheses. For example, sin
QA: Pick two of the following functions: sin(3x)*sin(2x) cos(3x)*sin(2x) cos(3x)*sin(1x) cos(3x)*cos(2x) Find the integral of those functions from x= -pi to pi Show all work. hint : graph & use symmetry.
Question 1 1 pts Find the derivative of f(x) = cos(sin(3x)). Of"(x) --cos(3x) sin(sin(3x)) O f'() -- 3cos(3x) sin(sin(3x)) Of'(x) - 3cos(3x) sin(cos(3x]) f'x) --sin(3x) cos(cos(3x)) Question 2 1 pts Find the derivative of f(x) = cos(x^2 + 2x). Of "(x)=2x+2 sin(x^2 + 2x) O f'(x)= x^2 sin(x^2+2x) Of"(x)= (2x+ 2) sin(x^2 + 2x) f'(x)= -(x^2 + 2) sin(x^2 + 2x) O f'(x)--(2x + 2) sin(x^2 + 2x) Question 3 1 pts Use implicit differentiation to find the slope of...
Problem 4. Let V be the vector space of all infinitely differentiable functions f: [0, ] -» R, equipped with the inner product f(t)g(t)d (f,g) = (a) Let UC V be the subspace spanned by B = (sinr, cos x, 1) (you may assume without proof that B is linearly independent, and hence a basis for U). Find the B-matrix [D]93 of the "derivative linear transformation" D : U -> U given by D(f) = f'. (b) Let WC V...
Find the Laplace transforms of the following functions:
a) f(t) = sin(at + b) Using the integral of the
Laplace transform
b) f(t) = cos(t) + sin(t/2) You can directly use
table 5.1
Tableau 5.1 Transformées de Laplace les plus couramment utilisées f(t)= £. {F()} F(s)= £{f(t)} f(t)=1 F(s) = 2 f(t)=1 F(s) == 2 3 Sl)=12 F(s) n! 4 St=1" F(s)=- 5 () at F(s)- S-a n! 6 S()=1"ar F($)= (s-a)"+1 a 7 s(t)= sin(at) F(s) s? +a? S...
5. Find the derivative matrices of the following vector-valued functions of several variables (a) x(t) (t cos t,t sin t) (is there one row or one column?) (b) f(r, y) (2r 4, x - 2y7, y 3) (c) f(x,y, 2)(xz2, x + zy?)
5. Find the derivative matrices of the following vector-valued functions of several variables (a) x(t) (t cos t,t sin t) (is there one row or one column?) (b) f(r, y) (2r 4, x - 2y7, y 3)...