Hello I need some help with my home work assignment. Sorry i couldn't fit it all on one page, I would love for the question to be explained step by step and also if possible highlight or bold the answer to help me. Thank you to who helps me in advance.

8. Find the area bounded by the graphs of the indicated equations over the given interval (when stated). Compute answers to three decimal places. y=3x2;y=12 The area, calculated to three decimal places, is [:::I square units. 9' Find the area of the region enclosed by the curves y = x2 1 and y= 3. The area of the region enclosed by the curves is I I. (Round to the nearest thousandth as needed.) Student: Sterling White instructor: David Scott Assignment: 13. 2 Economic Problems Using '1 Date: 11l21/22 Course: Math1325 Calculus for Business Integration ____._._.l 1. Find the total income produced by a continuous income stream in the rst 10 years if the rate of ow is given by the following function, where t is time in years. ft( )= 2000 How much was earned over 10 years? $l::l 2. Find the total' Income produced by a continuous income stream in the first 3 years if the rate of ow is given by the following function, where t is time in years. f(t =700e 03' What Is the total Income earned? $|:l (Round to the nearest dollar as needed.) 3. Find the future value at 6% interest, compounded continuously for 4 years, of the continuous income stream with rate of ow 7(1) = 16009" 0'02'. What is the future value of the investment? $|:l (Round to the nearest dollar as needed.) 4. The future value at 7% interest, compounded continuously for 3 years, of the continuous income stream with rate of flow f(t) = 1,8007; 0021, is $5,838. Compute the interest earned. $ | (Type an integer or a decimal.) 5- Find the consumers' surplus at a price level of 5: $120 for the price-demand equation below. p= D(x)= 500 0.04x What' Is the consumer surplus? $LTs::] 5- Find the producers' surplus at a price level of p = $54 for the price-supply equation below. p= so): 5+0.tx+0.0003x The producers' surplus Is $:| (Round to the nearest integer as needed. 7- Find the producers' surplus at a price level of p = $65 for the price-supply equation below. S(x)= 25+D.1X+D.OD3X2 The quantity supplied at the price p is x- :. (Round to the nearest whole number as needed.) The producers' surplus is $:I. (Round to the nearest dollar as needed.) Student: Sterling White Instructor: David Scott Date: 11/21/22 Course: Math1325 Calculus for Business Assignment: 13.3 Integration by Parts 6. The integral can be found in more than one way. First use integration by parts, then expand the expression and integrate the result. (x - 2Xx+ 5)2 dx Identify u and dv when integrating this expression using integration by parts. U= J. dv = "D ) dx Expand the terms within the integrand. 1) dx Simplify your answer.) Evaluate the integral. [ (x - 2)(x +5)? dx=[

Question

Hello I need some help with my home work assignment. Sorry i couldn't fit it all on one page, I would love for the question to be explained step by step and also if possible highlight or bold the answer to help me. Thank you to who helps me in advance.

8. Find the area bounded by the graphs of the indicated equations over the given interval (when stated). Compute answers to three decimal places. y=3x2;y=12 The area, calculated to three decimal places, is [:::I square units. 9' Find the area of the region enclosed by the curves y = x2 1 and y= 3. The area of the region enclosed by the curves is I I. (Round to the nearest thousandth as needed.) Student: Sterling White instructor: David Scott Assignment: 13. 2 Economic Problems Using '1 Date: 11l21/22 Course: Math1325 Calculus for Business Integration ____._._.__l 1. Find the total income produced by a continuous income stream in the rst 10 years if the rate of ow is given by the following function, where t is time in years. ft( )= 2000 How much was earned over 10 years? $l::l 2. Find the total' Income produced by a continuous income stream in the first 3 years if the rate of ow is given by the following function, where t is time in years. f(t =700e 03' What Is the total Income earned? $|:l (Round to the nearest dollar as needed.) 3. Find the future value at 6% interest, compounded continuously for 4 years, of the continuous income stream with rate of ow 7(1) = 16009" 0'02'. What is the future value of the investment? $|:l (Round to the nearest dollar as needed.) 4. The future value at 7% interest, compounded continuously for 3 years, of the continuous income stream with rate of flow f(t) = 1,8007; 0021, is $5,838. Compute the interest earned. $ __ | (Type an integer or a decimal.) 5- Find the consumers' surplus at a price level of 5: $120 for the price-demand equation below. p= D(x)= 500 0.04x What' Is the consumer surplus? $LTs::] 5- Find the producers' surplus at a price level of p = $54 for the price-supply equation below. p= so): 5+0.tx+0.0003x The producers' surplus Is $:| (Round to the nearest integer as needed. 7- Find the producers' surplus at a price level of p = $65 for the price-supply equation below. S(x)= 25+D.1X+D.OD3X2 The quantity supplied at the price p is x- :. (Round to the nearest whole number as needed.) The producers' surplus is $:I. (Round to the nearest dollar as needed.) Student: Sterling White Instructor: David Scott Date: 11/21/22 Course: Math1325 Calculus for Business Assignment: 13.3 Integration by Parts 6. The integral can be found in more than one way. First use integration by parts, then expand the expression and integrate the result. (x - 2Xx+ 5)2 dx Identify u and dv when integrating this expression using integration by parts. U= J. dv = "D ) dx Expand the terms within the integrand. 1) dx Simplify your answer.) Evaluate the integral. [ (x - 2)(x +5)? dx=[