Find the area between the curves f(x)=1-2x and g(x)=-x-1 over the interval [-4, -1]. (A) 13.5 units² (В) 21 units² 27 units² 28.5 units² D

Q: dy Find when y = a dx (a) (b) (c) (d) 2bx x4 + b² Arctan Arctan(2) 2bx ln a _ Arctan x4 + b² x In a…

A: Given y=aArctanbx2

Q: Differentiate f(x) = (3x)n() for r > 0. %3D

A: To differentiate (variable)(variable) ,  we need to take logarithm both the side then to…

Q: Let (x) *+1 (a) Evaluate (0), (6), and a + 6). R6) = Ra + 6) - (b) Find the domain of f. (Enter your…

A: We will evaluate f at the given points and check where the function is undefined and determine the…

Q: 1960 to the beginning of 1964 is modeled by the function N(t) = 5.3e0.09312 -0.87t , for 0 <t< 4.…

A:

Q: dx x(1+ln² x)

A: Given : ∫dx/x(1 + ln2x)      .....(1) Let ln x = t Differentiating both side w.r.t. x 1/x = dt/dx dt…

Q: 3x+1 Evaluate f'(-1) given that f(x) = %3D 2x+1

A:

Q: 2a5 Given that f(x) = and values h(-1) =-3. h'(-1) = 7, find f(-1) AND f'(-1). h(x) %3D Show your…

A: f(x)=2x5h(x), and values h(-1)=-3, h'(-1)=7

Q: Evaluate

A: Consider the expression sin 5π12. Observe that the given expression can be written as a sum of…

Q: v = f(h) = 4/400 – h , 0 < h < 400 expresses the speed (in ft/sec) of a ball in terms of its hcight,…

A:

Q: Find the area between the curve y = x² + 12x + 27 and the x-axis from x = -3 to x = -1.

A:

Q: Find ao of the function f(x) =(T - x)2 |3D | O 5 T^2/12 5 π^2/6 O T^2/12 TT^2/6

A: Fourier coefficient of the function

Q: How do you find the domain and range for f(x,y) = ln(x+y)?

A: The given function: