10. Approximate the area under the curve of f(x) = 2.x +1 over the interval [0, 1] by using 6 rectangles. %3D

Q: Set up the definite integral required to find the area of the region between the graph of y=x2-17…

A: First draw the curves and find their intersection  points then use integration to get the area.

Q: Find the area between y = (3 + x2)e2x and the x­-axis from x = 0 to x = 1.

A: We have to find the area between y = (3 + x2)e2x and the x­-axis from x = 0 to x = 1   for that we…

Q: 15) When does S, f(x) dx represent the area under the graph of f (x), above the x-axis, between x =…

A:

Q: 9. Find the area between y = √x and y = √x+1, over the interval 0≤x ≤4

A:

Q: Verify that the area under the curve y = 1/x from x = 1 to x = m equals 2m, the area from x = 3 to x…

A:

Q: 1.) Calculate the area under the curve y= y= 7- x, from x=- to X= 2

A: Given: y=7-x2  from x=-1 to x=2

Q: 5. Find the area under the curve 2 dr - x2 9 – where 4 < r< 10

A: To find the area under the curve given by the integrand ∫29-x2dx where 4≤x≤10

Q: Find the area under the given curve over the indicated interval. y =x; [2, 3]

A: GivenThe curvey=x2     [2,3]To find:Area under the given curveFormula:Area=∫abxdy

Q: Q4. Find the area between curve y = x - 3x + 2 and x-axis from x =0 to x 2

A:

Q: Approximate the area under the curve graphed below from x = 3 to x = 8 using a Left Endpoint…

A:

Q: 5. Find the area between the curve y, =x² - 4x +12 and y, = x² from 0<x<4

A: Given curves are y1=x2-4x+12y2=x2 Also 0≤x≤4

Q: 3. Approximate the area under the curve y =x² +2 between x = 1 and x=7 using 3 subintervals (n = 3)…

A: We know that according to right end approximation, the area under the curve is, A≈∑i=1nf(xi)∆x   It…

Q: What is the area under the curve of S(x) 5 fromr = 0 to r= 10?

A: Definite integral can be used to find the area bounded between two curves over an interval. Given…

Q: 4. Find the area bounded by the curve a²y = x³, the x - axis, and the line x = 2a. Solve in two…

A:

Q: 2. Find the area in the second quadrant bounded by the curve y = x' +4x² –x-4 and the x- axis.

A: To find: The area in the second quadrant bounded by the curve. Given: The equation of the curve is…

Q: 1. Estimate the area under y = 2 In(5x) and above y = 2 for 4< x < 6.

A: we have to evaluate the area under the curve y=2ln(5x) and above y=2 for 4≤x≤6

Q: (11) Find the area under the curve y =x+1 for 0<x<2 %3D

A:

Q: Find the area under the given curve over the indicated interval. y =x +6x+ 1; [3, 5]

A: To find area under the curve we use definite integrals.

Q: Find the exact area under the curve between the indicated values of x. y = -x2 + 9; between x = 0…

A:

Q: 4. Find the approximate area under the curve f(x) = x³ – 3x² + 7 on the interval [0.97,3.4]. Use…

A:

Q: Approximate the area under the curve f(x) on the closed interval [1, 3] with 5 circumscribed regular…

A: Given curve f(x)=x2+9x+10 interval 1,3. The objective is to estimate the area under the curve. Area…

Q: Find the area under the curve over the indicated interval. 5. y = x - x2; (0, 1] 6. у 3 [1, 3]

A: y = x-x2 ; [0, 1] y = 4/x; [1, 3]

Q: 1. Find the area between the curve y=x²+2 and the x-axis, between x=1 to x=3

A:

Q: Compute the exact area under y=4x2, above the axis and between x=0, x=1.

A: We have to compute the exact area under the given curve   y=4x2 Between the interval  x=0  and…

Q: 10 Determine the area above f(x)=x²+2x+3 and below the line y=11.

A:

Q: Find the area under the graph of f(x) = 4¬3# and above the graph of f(x) = 0 for æ in [4, 6] by…

A:

Q: 7 Find the area under the curve y = x over the interval [1, 5]

A: Please refer to the image below

Q: Find the area between the curve y = x2 + 10x + 16 and the x-axis from x = −2 to x = 1.

A: We have limits of curve from x=-2 to x=1

Q: Approximate the area under the curve of y =x+3 over the interval x=-3 to x= 1 uning 4 right endpoint…

A:

Q: 8. Find the area between the curves y = x x² and y = x2 – 4x between x = O and x = 2.

A: For calculating the area between curves first of all we will draw the schematic diagram of the…

Q: 2. Find the Area bounded by the curve y = 4-x? and the x-axis.

A: Topic = Area

Q: Find the area under the curve f(x) =x+3x+7, above the X axis from x=4 to x=6.

A:

Q: 7. Find the area of the region under the curve y= |2x – 1| between x= O and x= 2.

A:

Q: What is the area under the curve for f(x) = 3x2 +5 between x=1 and x=10?

A:

Q: Find the area between y = ( x − 2 ) ex and the x axis from x = 2 to x = 6.

A: The area above the x-axis and between the curve  y = ( x − 2 ) ex is given by:  ∫26(x-2)exdx

Q: Find the area between the curve f(x) = x² +12 and the x-axis from x = 3 to x = 6. ...

A:

Q: Approximate the area under the curve of f (x) = x² +3 from 0 to 4 using the Midpoint Rule with n =…

A:

Q: (4) Calculate the area between the two curves of the functions fi(x) = x2 and f2(x) = 2 x + 3

A: Here, the given curves are f1(x)=x2, f2(x)=2x+3 First of all, find the intersection point(s) of the…

Q: Find the area between y = ln x and the x-axis from x = 1 to x = 3.

A:

Q: Approximate the area under the curve y=f(x) between x=-1 and x=5 using Simpson's rule with n=6…

A:

Q: Calculate the area under the curve y between x = 2 and x 8. %3D

A: Since you have posted multiple questions therefore we will answer the first one for you. If you want…

Q: 2 Find the area between the curves y= 2x +6x+1 and y =-x +3x+7 over the interval [-4,10]. Draw the…

A:

Q: 12. Find the area bounded by the curve y = 3x(x - 2)² and the x axis.

A:

Q: Approximate the area under the curve graphed below from x = 2 to x 6 using a Left Endpoint…

A:

Q: Approximate the area under the curve graphed below from x = 3 to x = 7 using a Left Endpoint…

A:

Q: Set up the definite integral required to find the area of the region between the graph of y = x- 13…

A:

Q: Consider the function f (x) = x² + x + 2. What is the maximum approximation of the area under the…

A:

Q: Find the area under the curve for y = 3x over the interval [2,5).

A: The given curve is y=3x2

Q: (8) Find the area under the curve f(x) = e* – 1 from X =1 to x 2 Leave the answer with e, don't use…

A: SOLUTION-

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.