31) Find the shaded Area A between two curves ftop(x) = 6 – x2 and gbot(x) = 2, over [0, 2] as shown in the Figure 2 above. A) A =16/3 B) A =15/2 C) A =17/3 D) A =27/5 32) Find the shaded Area A under the curve f(x) = 3x ln 3 over [1, 3] as shown in the Figure 3 above. A) A = 24 B) A = 27 C) A = 29ln3 D) A = 27ln3

Q: 2. The figure below shows the graph of a function k(x) and its tangent line at a point (a, 2). The…

A: Given: The average rate of change of kx between x=a and x=6 is 16 and the below graph: To find: (a)…

Q: 5. Find the equation of the tangent line for: x = vt + 9, y= at (4,-)

A: The objective is to find the equation of the tangent line.

Q: find f'(l.os) with h=o .05 If fuXsinx using three puints formula

A:

Q: 1’) Let f be the function f(x) = x^2 +36/x^2 (a) Calculate f'(x) and find all stationary points for…

A: Solution - Given function - f(x)=x2+36x2 a.)        f'(x)=2x+36-2x-2+1             f'(x)=2x-72x…

Q: Use the function k(x)=x^6 and the value x=2 to answer the questions that follow. a)  Find the…

A: Equation of tangent and approximation using tangent line

Q: Discuss the relationsh ip between the derivative dy/dx and(lim) with drawing if it is required

A: See the attachment

Q: Find the x-corrdinates at which the tangent line to y=(x-(6/8))^8 is horizontal.

A:

Q: 1) graph function y = (1/4)(x^2). then without additional computation, graph the following…

A: Given: y=14x2 The objective is to plot a graph for the given function. Let's take the values of x as…

Q: Given the curve (x^2)y+ax+by=0 have three inflection points, where a and b are constants. a) Using…

A: We are given that the curve x2y+ax+by=0 has three inflection points, where a and b are constants.…

Q: Suppose that a curve is given by the equation y2=x2+x+1 which defines y as function(s) of x Find…

A:

Q: At what point of the curve y = cosh(x) does the tangent have slope 2? (x, y) =

A: