r2 = 4cosa area of the curve is how many br2 ?

Q: Find the area between the curves. 6/5 y=x, y = 4x 1/5 ... The area between the curves is (Do not…

A:

Q: Q: Find the area of the region between the two curves yı=x? and y2=xt-12

A: Area between curves

Q: 2x2+4x+4 Estimate the area of the curve y = 2 from x = 1 to x = 3 by using 5 rectangles and right…

A: We find out the area of given curve usin Rieman sum where dalX=(b-a)/n where n is the number of…

Q: Q5/ Find the area of the region in the first quadrant that is bounded above by y = √x and below by…

A:

Q: Q4. Ca) Graph s=2sin3 (b) Evaluate the area inside the curve.

A:

Q: Find the area of the region between the curves y = 12 – a? and y = x² – 6. Area between curves =

A:

Q: 22. Find the area enclosed by the curve r²-4coss. c. 16 B. 8 D. 2

A: Given equation of the curve is r2=4cosθ. We know that, area under the curve is given by A=∬Rrdθdr.

Q: Find the area between the graph of y = 6x and the x-axis on the interval [-2, 2]. Write the exact…

A:

Q: Determine the two χ2-values that divide the area under the curve into a middle 0.90 area and two…

A: From the provided information, a) df = 11 α/2 = 0.05 1 - α /2 = 0.95 The required χ2 value at…

Q: Find area of the region under the curve - 2 y = and above the x-axis, for 9 < r<11. area =

A:

Q: The circumference of a circle is increasing at arate of 2 cm/s. How fast is the area increasing when…

A: let the circumference of a circle is C, area is A and radius is r   rate of change in circumference…

Q: Q4: Find the area enclosed by the curves: y = x² and y = -x² + 4x.

A:

Q: 1. f(x)=x²+2x+1 & f(x) = 2x+5

A: To find the area between the curve.

Q: ind the area of the region bounded between the curves (make sure you draw the picture). -2x =) y =…

A:

Q: Find the area of the shaded region below. yA x= y? – 4y (-3, 3) x = 2y – y? Area =

A:

Q: Q3/ Find the area of the region enclosed by the curves y = 7 – 2x? and y = x² + 4.

A:

Q: Q2/ Find the total area between the curve y = -x² – 2x and the X-axis.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: find the t-value such that the area left of the t-value is 0.20 with 15 degrees of freedom.

A: Given that, α=0.20 df=15 The type of test is left tailed test

Q: ind the area under the curve y = x + 3x² and the axis between x = 1 and x = 3. A 28 sq. units (B 46…

A: Here, to find the area under the curve and axis between x=1 and x=3.

Q: The signed area between the r-axis and the curve y

A: 8.    ∫-181+xdx + ∫1e421xdxLet u = 1+x    du = dx∫09udu + ∫1e421xdx23u32|90 + ln(x)|e42123(932 - 0)…

Q: Find the total area of the curve r=2sinA+2cosA.

A: We have to find the total area of the given curve.

Q: Q2/ Find the area of the region in the first quadrant bounded on the left by the y-axis, below by…

A: The total area of the bounded region in the first quadrant is 2.5 units.

Q: Find the area enclosed by the x-axis and the curve y = -x² + 9. 32 A.) s.u. B.) 18 s.u. C.) 36 s.u.…

A: Follow the procedure given below.

Q: e curves y = 9 – 8x2 and y = 5 + x2. The area of this region c | Σ vithout making use of absolute…

A: We have to find the following conditions according to the given information

Q: Find the area inside the curve r=6+costheta

A:

Q: Q3/ Find the area of the region enclosed by the curves y = 7 – 2x? and y = x² + 4 .

A:

Q: Q5/ Find the area of the region in the first quadrant that is bounded above by y = √x and below by…

A:

Q: (b) Find the t-value such that the area in the right tail is 0.025 with 7 degrees of freedom. (Round…

A: Given, Area in the right tail=0.025 Degree of freedom=7

Q: Find the area enclosed by the y-axis and the curve x = t - t2, y = 1 + e-t .

A:

Q: Q1: Find the area of the region that lies in the first quadrant under the curve √x + √y = 1. (Draw…

A:

Q: Find the area between the curves. 1/5 6/5 y=x y = 4x¹ The area between the curves is (Do not round…

A:

Q: What is the area between z = − 0.84 and z = − 0.20? Use the z-table  Write and encircle your answer…

A:

Q: Find the area of the shaded region. Show your complete solution. r = 0

A:

Q: Q1: Find the area of the region enclosed by the line y=4 and the curve y=x?

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: USE n = 10. line EF = 10 meters y = 0.003325-0.095x4 +1.0162x³ - 4.8294x² +8.353x + 7.818 What is…

A:

Q: b) Find the area of the region enclosed between the curves y = x-1 and y= x-3? (Sketch the region)

A:

Q: ind the area between the curves.   x = -2, x = 1, y = 2 x 2 + 4, y = 0

A:

Q: Find the area enclosed by the curves y = y = 2 1– 9x2 (A B © i- 3. 2π

A: The area enclosed by the curves,y=11-9x2 and y=2

Q: Find the area A of the shaded region where b = 7. y = |x| + -b

A:

Q: Q1 By sketching the graphs, find the area of the region bounded by, y = 9 – x? and x + y = 3, -3<xS…

A: As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…

Q: Find the area enclosed by the x-axis and the curve y= 9 – x². (A) 36 square units B 18 square units…

A:

Q: Q3/ Find the area of the region in the first quadrant that is bounded above by y = with respect to…

A:

Q: Find the area enclosed by {x=t3/2+t+6 & y=-t2+5t-4} and the x-axis

A:

Q: What is the area enclosed by the curve 2 x +3 y = 12. (a) 12 sq.units (b) 48 sq.units (c) 24…

A: Area of right triangle = (1/2)*base*height |x|={-x for x&lt;0 and +x for x&gt;0}

Q: Find the area between the curves. 1/5 6/5 y=x, y = 4x ... The area between the curves is (Do not…

A:

Q: Find the area bounded by the curves 4y – x = 0 and y – 4x = 0 1. For points of intersection. 2. Area…

A: 4y=x2 and y2=4x1.) solving bothx242=4xx4=64xx(x3-64)=0x=0 , x3=64x=0, x=4corresponding  y-valuesat…

Q: Find the area enclosed by the curves y = y = 2 1- 9x2 2n B 3 D 6. [+

A:

Q: Find the area A of the shaded region where b = 4. y = |x| -b

A: Calculate the area of the shaded region where b=4.

Q: Using vertical element, find the area bounded by the curve y2 = 8(x − 4), the line y = 4, y-axis,…

A:

Q: nd the area of the region. Use a graphing utility to Veriry your 8x · Vx + 1 dx

A: ∫078x x+13 dx let u=x+1  so, x=u-1 du=dx ∫188 u-1 u3 du 8∫18 u43-u13  du use ∫un du=nn+1n+1…

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.