f(x,y,z) = 6x^2 + 3xy - 2z^3   fx​(x,y,z)= ? fy​(x,y,z)= ? fz​(x,y,z)= ? fyx​(x,y,z)= ?

Q: Find the area bounded by the graphs of the indicated equations over the given interval. y=4/x ​;…

A:

Q: Determine the area, in square units, of the region bounded above by g(x)=−8x+3 and below by…

A: Given g(x)=−8x+3 and f(x)=−7x+16 And the curve g(x) is bounded above and f(x)=−7x+16 is bounded…

Q: The area of the region bounded above by y=3-x, bounded below by VE2-9, bounded from the right by X…

A:

Q: 1, 2, 3, 4, 5, 6, 1, 8, 2, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19 and 20 Find the most general…

A:

Q: if -1Sxくo -1くxくo xtl いーx if we suppose fx +2)=f(x) Vx find the fourie sum of the funchon and %3D

A: We will find fourier series for periodicity of given function and then will find coefficients .

Q: Find area of region f(x)=x2-10x+9 g(x)= -x2+8x+9

A:

Q: Estimate the area between the x-axis and the graph of f(x) = 9 – x² over the interval [-1, 2] by…

A: Clearly the given integral can be approximated by the areas of the given triangles.

Q: Find the area, in square units, bounded above by g(x)=6x−1 and below by f(x)=7x−15 over the interval…

A: It is given that region is

Q: 2. Find the area between the functions: y = x³-12x + 10 and f(x) = -3x + 10 3. Find the area between…

A: We have to find the area.

Q: Find the area of the region under the graph of f on [a,b]. f(x)= 4/x^2 ; [2,6]

A: The area of the region under the graph of f on [a,b]is= integration of f(x) under a to b. See 2nd…

Q: Estimate the area between the x-axis and the graph of f(x)=9−x2f(x)=9-x2 over the interval…

A: We will use rectangle's formula to evaluate the area of curve

Q: Find the total areas of the regions a. Between the graph of f(x) = 1- Vx and the x-axis for 0 < x <…

A: Given:        fx=1-x interval 0≤x≤4  Total area of the region between the curve fx and the x-axis…

Q: b. Approximate the area bounded by f(x)=x² - 2x+6 on the x-interval [0,3] usingn = 3 rectangles and…

A:

Q: Determine the area, in square units, of the region bounded above by g(x)=8x+6 and below by…

A: We have to find area between two curves in the interval [-10.15],for more clarification see graph.As…

Q: Find the total area between the curve of the function f(z) = -4z +8 and the z-axis over the interval…

A: I have provided solution in  step2.

Q: area bounded by y= 3, x = 2, y = -3 and x = 0 is revolved about the y-axis

A: Given that y=3, x=2, y=-3 and x=0 Find area

Q: Use the Product Rule to differentiate f(v) = v-4sinv

A:

Q: Determine the area, in square units, bounded above by f(x)=−x^2−8x and g(x)=3x+24 and bounded below…

A: Given that  fx=−x2−8xgx=3x+24 To find the area bounded above by f(x)

Q: Find the area of the region bounded by f(x) = x2 and g(x) = x3 on [−2,4]

A:

Q: The area under the curve y = Vĩ bounded from below by the 16 x-axis and on the right by x = 4 is…

A: Integration can be used to find area of region bounded by a set of functions. For two functions…

Q: Find the total area between f(x)=3x2-3 and the x-axis on the interval [-2,2]

A: Calculation:The given curve are f(x) = 3x2 – 3 and the x axis y = 0 on the interval [– 2, 2].The…

Q: Calculate the area, in square units, bounded by f(x)=−5x3+3x2−8x−8 and g(x)=−4x3−4x2+2x−8 over the…

A: Given:  f(x)=-5x3+3x2-8x-8 g(x)=-4x3-4x2+2x-8 The interval is  3, 7. To find: We have to find the…

Q: Find the average value of the function f(x)=x3−9x+8 over the interval [−3,3] . (Use symbolic…

A:

Q: 2 Find the area of a triangle bounded by the y axis, the line f(x) = 8 – -x, and the line…

A:

Q: Find the area of the region between f(x) = x² + 2 and g(x)= x - 1 on the interval [-2,2]

A: The functions are f(x)=x2+2  &amp;  g(x)=x-1

Q: Find the area of the shaded region. 18- f(x) = 8x + 2x - x°, g(x) = 0 -4 -18-

A: We have the following equation

Q: Find the area of the region completely enclosed by the graphs of the functions: y = x – 2, y=square…

A:

Q: Let f(z) = 5 + /4z – 9. Find f-(z). %3| | f(2) - %3D

A: A function is said to be invertible if it is one-one and onto.

Q: 5. Determine the area below f(x) = 10 - 2x² and above the line y = 3. 6. Determine the area bounded…

A: Given problem:- Determine the area below f(x) = 10 - 2x2 and above the line y = 3

Q: Differentiate the function y = (x + 8) In (x +8). y' = %3D

A:

Q: Find the area of the region in the xy-plane bounded above by the graph of the function…

A: Given  fx=711x-2111, x=3 &amp; x=14 To find Area:

Q: Find the area of the region bounded by f(x)=X^2-4X +3 the X axis in the lines X=2 and x=6

A: We will find out the area of the region.

Q: Find the area of a triangle bounded by the y axis, the line 2 f(x) = 6 - x, and the line…

A:

Q: Estimate the area between the x-axis and the graph of f(x) = 9 – x² over the interval [– 1, 2] by…

A: Given the graph of the function :

Q: find the area enclosed between f (x) = 0.6x² + 5, g(x) =x, X=-5 , x = 6

A:

Q: Find the critical numbers of the function. f(x) = x8In(x) %3D X =

A: Consider the function  f(x)=x−8lnx

Q: The area of the region bounded by the function f(x) = + 3, lines x = −2, x = 2 and the x — axis is…

A:

Q: The area bounded by the curve y = 3/x and the lines x = 3 and x = 8 above the x axis - is _square…

A:

Q: Determine the area, in square units, bounded above by f(x) = -x^2 + 2x + 3 and g(x) = -x + 3 and…

A: Determine the area, in square units, bounded above by f(x) = -x^2 + 2x + 3 and g(x) = -x + 3 and…

Q: Find the area of the shaded region. f(x) = x* - 8x + 21x, g(x) = 6x + 36 (3,54) (-1,30 by -10

A: GIvenf(x)=x4-8x3+21x2g(x)=6x+36To find the area of shaded region from given figure.

Q: Find the area of the region under the graph of the function f on the interval [5, 6].   f(x) = 8x −…

A:

Q: Find the area, in square units, bounded by f(x)=8x+15 and g(x)=7x+6 over the interval [−7,10]. Do…

A: The given functions are f(x) = 8x+15 and g(x) = 7x+6 over the interval [–7,10].

Q: Find two  z  values so that  42%  of the middle area is bounded by them

A: Solution: Let

Q: What is the average for the fuenction fCx) = x☆ 4x from X ='3 to X =99 version absol %3D

A: objective is to find the average of the function

Q: 18: Find the total area of the region between the functior F(x) = x3 – 4x² + 3x and x-axis from…

A: The given curve is we have to find the area bounded by the region f(x)  and x-axis from [-3,3].

Q: Find the area of a triangle bounded by the y axis, the line f(x) = 9 -x, and the line perpendicular…

A:

Q: Find the net area and the area of the region bounded by the function y=5-|x| and the x-axis between…

A:

Q: Find the area of the shaded region. 160- (5,150) f(x) = x - 8x + 21x2, g(x) = 20x + 50 (-1,30) 10

A: Given,            fx=x4-8x3+21x2 , gx=20x+50           To find : Find the area of the shaded…

Q: What is the area of the region bounded by the graph of f on [1,3], when f(x)<0 on [1,3] and F is an…

A:

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.