Sketch the graphs of the functions f and g. f(x) = square root of x    ,    g(x) = − 1/2x -4   Then, Find the area of the region enclosed by these graphs and the vertical lines x = 4 and x = 9.

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: (A) Estimate the area under the graph of f(x) = 3x + 4 %3D from æ = -1 to r = 4, first using 5…

A:

Q: (a) Estimate the area under the graph of f(x) = 2+ 4x² from x = -1 to x = 2 using three rectangles…

A:

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: Sketch the region bounded by the graphs of the equations (include representative rectangle) f (x) =…

A: Recall: Area Bounded By the Curves :  If f(x) and g(x) are two continuous function and f(x)≥g(x) on…

Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

A: Given function :

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: Use left and right endpoints and the given number of rectangles to find two approximations of the…

A: Given

Q: Find the area bounded above the graph of the function f(x) = 9-x2 /4 and below the graph of the…

A: We first sketch the region using a graphing calculator.  The x coordinates of the intersecting…

Q: Find the area of the region that is bounded above by the curve f(x) = sqrt(x−7) and the curve g(x) =…

A: The given curves: fx=x-7 and gx=19-x.The area is bounded by the above curves and x axis.

Q: g(x) = 2x2 - x - 1, [3, 5], 4 rectangles < Area <

A: To use the right endpoint and left endpoint Riemann integral to approximate the area by the given…

Q: f (x) = x² + x – 6 - 6

A: By using area bounded by curve formula, we calculate the required area.

Q: on

A: Find the area of the region between the graph of fx=1x and the x-axis on the interval [1,9]

Q: Find the area of the region bounded by the graph of f and the x-axis on the given interval.…

A:

Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

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: Use left and right endpoints and the given number of rectangles to find two approximations of the…

A: Use left and right endpoints and the given number of rectangles to find two approximations of the…

Q: Find the area enclosed between the function f (x)=(4x2 -9)Ln (x) and the x-axis

A:

Q: Approximate the area under the graph of ƒ(x) = 2x + 3 and above the x-axis from x = 0 to x = 4 using…

A:

Q: (a) Estimate the area under the graph of f(x) = 7 + 2x2 from x = -1 to x = 2 using three rectangles…

A:

Q: Find the area of the region bounded by the graphs of f(x) = x^2 − 4x + 3 and g(x) = −x^2 + 2x + 3.…

A:

Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

A:

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

A: To find:- Estimate area between the x Axis and graph of f(x) = 9-x2 ove  interval [-2, 1] using…

Q: Find the area of the region under the graph of the function f on the interval [0,7]. f(x)= 7x-x^2

A: We need to find the area of the region under the graph of the function f on the interval [0,7]

Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

A:

Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

A:

Q: Calculate the area in square units, bounded above by g(x)=4x+10 and below by f(x)=x2+6x−14 over the…

A: The given function g(x) and f(x) are line and a parabola over the interval [-6, 4].Since the line…

Q: Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of f and…

A:

Q: Find the area in square units, bounded by g(x)=-7x+1 and f(x)=x^2+7x+41 over the interval [-10,-4].…

A: to find the area we use the formula  ∫abg(x)-f(x)dx

Q: Sketch the graphs of the functions. f(x) = sqrt(x)  and  g(x) = x^2   Also find the area of the…

A:

Q: Determine the area, in square units, of the region bounded above by f(x) = -x² + 20x – 70 and below…

A: Given:  fx=-x2+20x-70 gx=x+20 To find: Find the area over the interval 9, 10. Required formula:…

Q: Find the area of the region bounded by the graph of f and the​ x-axis on the given interval.…

A:

Q: f(x) = 3 + 2x2 from x = −1 to

A: Given: f(x)=3+2x2 from -1, 2

Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

A:

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: Estimate the area under the graph of f(x) = 0.5x2 + 1 over [0, 6] and n = 6

A: Given: f(x) = 0.5x2 + 1 over [0, 6] and n = 6

Q: (a) Estimate the area under the graph of f(x) = 7 + 2x² from x = -1 to x = 2 using three rectangles…

A: We have to estimate the area under the graph of f(x) = 7 + 2x^2 from x = -1 to x = 2 using three…

Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

A: The Left Riemann Sum (also Left Endpoint Approximation) uses the left endpoints of a subinterval.

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 the area of the region between the graphs of f (x) = 3x3 – x² – 10x and g(x) = -x2 + 2.x, %3D -…

A:

Q: Find the area of the region between the graphs of y=17-x2 and y=-6x+10 over the interval -3 < x < 6.…

A: We have to find the area of the region between the curves y=17-x2 and y=-6x+10 in the interval…

Q: Let f(x)= 3+2x2 Estimate the area under the graph of f, the x-axis, and the lines x = −1 and x = 2…

A:

Q: Let f(x) = 3 + 2x2 Estimate the area under the graph of f, the x-axis, and the lines x = −1 and x =…

A: We have to find the area using 3 rectangle and 6 rectangle

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: Estimate the area under the graph of f(x) = 7 + 4x^2 from x = -1 to x = 2 using three rectangles and…

A: Estimate the area under the graph of f(x) = 7 + 4x^2 from x = -1 to x = 2 using three rectangles and…

Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

A:

Q: find the area of the region bounded by the graphs of f(x)-2x2-6x+5 and g(x)=x2+6x-15.

A: To find the area of the region bounded by the graphs of fx=2x2-6x+5, and, gx=x2+6x-15.

Q: Estimate the area between the x-axis and the graph of f(x) = 9 – x over the interval 0, 3 by using…

A: The given function f(x)=9-x2 over the interval [0,3]