Sketch the graph and find the area of the region described below. f(x) = -7-√x O O -10 -10 -5 10 y 5- y -10 10 5- 5 -10- 5 10 10 -10 -10 10 y 5- y 0 -10- 10 5- 5 -10- 5 10 Find the area of the region bounded below by the graph of f(x) and above by the x-axis from x = 0 to x = 9. 36 X square units

Q: 12. For the function f(x) = x² + 10x + 7, x ER, find any global maxima or minima points

A: If y=f(x), then the independent variable x is called the input of the function and the dependent…

Q: 3. Find the largest domain (in R2) for the function In(3 + y) 1- x + y f (x, y) :

A: Let's find.

Q: Use the graph of y = f(x) to graph the given function g: g(x) = f(x - 1) + 2

A: Given The draw graph g(x)= f(x-1)  +2  by using graph  f(x) Coordinate of graph f(x) is (-4,0)…

Q: 15. For the graph of the function f, 4 (-4, 3) . (4, 3) (-2, 1) -5 (-1,0) (2, 1) (1, 0) (0, – 1) 5 x…

A: NOTE: You have posted a question with multiple subparts, we have solved the first three subparts for…

Q: nctions and the y-axis. (Draw the functions and shade the area to be determined.)

A: We know that the equation of the x-axis is y=0 and the equation of the y-axis is x=0. We have to…

Q: 3. Let f(x)=x2+kx and g(x)=x+k . The graphs of f and g intersect at two distinct points. Find the…

A: Simple graph intersecting problem....

Q: Determine and graph the domain set of the function f(x, y) = ln(x²+9y2-81) ==

A:

Q: Find the minimum value for p(x) = -x2 – 24x on the interval [-6,-1]. JUSTIFY YOUR ANSWER.

A: px=-x2-24x Differentiating with respect to x, we get p'x=-2x-241=-2x-24 Now to find critical values,…

Q: Find the absolute maximum and absolute minimum of the function f(r) =r² - 8z+7 over [1, 8].

A:

Q: Use the graph of y = f(x) to graph the given function g: g(x) = 2f(x + 2) - 1

A: The graph of y = f(x) is  g(x) = 2f(x + 2) - 1

Q: Example: find the extreme values of the function f(x, y) = xy – x² - y² – 2x – 2y + 4

A:

Q: 30. Determine the point of inflection of the graph of f. f (x) = x3 – 3x? O (3, 0) O (1,-2) O (0, 0)…

A:

Q: Find the x that maximizes the function f defined as f(x) = x¹/2 - 2x 1/3 1/4 O 1/8 1/16

A: The derivative will be zero at the minimum and maximum points because the line turns to be parallel…

Q: The graph of the function is a translation of the graph of f(x) = Vx. Graph the function. h(x) = Vx…

A: We can solve the problem by finding the transformation.

Q: Consider the image attached of the graph of a function y = g(x) on the domain -8 <= x <= 8, which…

A: Label the points on the given graph as shown below.

Q: Sketch the graph of the function. f(x) = In(|x|) 3 U

A: Given  f(x)=ln(|x|)write as piece wise function f(x)=ln(-x)     for x &lt; 0ln(x)         for x &gt;…

Q: 5. A fence is to be built against a concrete wall to form a rectangular lot. Only three sides of the…

A:

Q: Find the average of the function over the given interval. f(x) = x over [-2, 2] Plot the function…

A:

Q: Given that r(*) =-1 and g(*) = 5 - x. (1) Plot the graph of y= (x) and y = s(x) on a graph paper for…

A:

Q: D The region D above can be describe in two ways. 1. If we visualize the region having "top" and…

A: Firstly find straight line equation by using y-y1=y2-y1x2-x1x-x1 . and find region .