y = sin(x) + 2 y = 2 sin(x) y = (1/2) sin(x) y = – sin(x) y = 3 sin(x) – 5.  Explain the changes that would occur to the curve y = sin(x) for each of the following transformations.

Q: Which graph below has an vertical shift of 2? O A. y=sin(x) + 2 O B. y=sin(x-2) OC. y=2sin(x) O D.…

A: We use the definition of vertical shift of the graph of a function to answer the given question.

Q: Match each graph with its equation. f(x, y) = sin(x) f(x, y) = x³ | f(x, y) = x² + y av - ✓ | f(x,…

A: The given two variable functions are, fx, y=sinxfx, y=x3fx, y=x2+yfx, y=y2fx, y=x2-y2 We have to…

Q: Match each of graphs (A) and (B) in Figure with one of the following functions: (i) f(x, y) = (cos…

A: Given: i) fx,y=cosxcosyii) gx,y=cosx2+y2

Q: 9) For the transformed function y = 4 cos[3(x - 20°)] + 5 state the amplitude, the period, the phase…

A:

Q: A2) Find the derivative of the following functions: x2 + 2 (a). f(x) x2 – 2 (b). f(x) = 2 tan-1(x) –…

A:

Q: 3) Find the following derivatives: a. y = 2x b. f(x) = 4x³10x² + 7x-15 c. g(x) = 3x(x² - 4)5 d. y =…

A:

Q: Sketch a graph of f(x,y) = x sin(y).

A:

Q: Find the derivative of 5e* 1. y = e 6x 3. y = 2x+3x 2. y = e* + e3x 4. y = (e* + ex)1/2

A: Quotient Rule of differentiation : ddxuv=v.dudx-dvdx.uv2 deaxdx=aeax dxndx=n.xn-1