Approximate the area of the region bounded by the graph of f(t) = cos (t/ 2 - 77/8) and the t-axis on (7x /8,15x / 8] with n= 4 subintervals. Use the midpoint of each subinterval to determine the height of each rectangle (see figure). f(t) = cos(t/2 -7x/8) 1- 0,5- 0- 3x 2 The approximate area of the region is (Round to two decimal places as needed.)

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 under the curve y-cos X from 0 to O a 1. -1

A: Given,          The area under the curve y=cosx from 0 to π2.

Q: Approximate the area under the curve y=1x between x=1 and x=5 using the Trapezoidal Rule with n=4…

A: Width of each interval = (5-1)/4= 4/4=1 So the partitions are 1, 2, 3, 4, 5

Q: Find the area bounded by the curve y and its asymptote/s. (1+x2)

A:

Q: Find the area under the curve y=3x2+x+2e*/2 from x=0 to x=1.

A:

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

A:

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

A: The function is given as fx=cos x The interval is given as 0, π2

Q: Find the area bounded by the following: 1. Curve y²-8y-8x +32= 0 and y²-8y + 4x = 0

A: We will use basic knowledge of integral calculus and the theory of evaluation of integrals.

Q: Find the area of the region bounded by the graph of Z F7(2).png f(x) = avbx – x2 and g(x) = cx ||…

A: ∫ab​f(x)dx≈Δx3​(f(x0​)+4f(x1​)+2f(x2​)+4f(x3​)+2f(x4​)+⋯+2f(xn-2​)+4f(xn-1​)+f(xn​))whereΔx=b-an

Q: 1. Find the area of the region bounded by the parabola x = 3 + 2y – y? and the line 2x + 3y = 6.

A:

Q: Find the area of the region bounded by f (x) 3D а у 20— Зх — 2х2 and the x -axis using Simpson's…

A:

Q: Approximate the area under the curve y-f(x) between x=0 and x=10 using the Trapezoidal Rule with n=5…

A:

Q: d) Use the right endpoint rule to approximate the area under the curve of f(x) = 4- x2 on [1,2]…

A:

Q: 2. Find the area enclosed by the curve y2 = x6 (1- x²)³.

A:

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

A: Consider the given function: Here, the objective is to find the area using the mid-point rule with…

Q: In the given question , use the Midpoint Rule with n = 4 to approximate the area of the region…

A: Consider the provided function, fx=tanx, 0,4 Use the Midpoint Rule with n=4 to approximate the area…

Q: The area of the region bounded above by yx+7. bounded below by vey2, bounded from the left by x2 and…

A: The given region is as shown. Now, It is bounded above by y=x+7 and below by y=x2. So, the upper…

Q: Find the area of the region between the graphs of f(x) = 3x + 8 and g(x) = x2 +2x +2 over [0, 2]…

A: according to graph area of shaded region can be written as given below A=∫02fx-gxdx

Q: = Set up the definite integral required to find the area of the region between the graph of y y = 2x…

A:

Q: Determine the exact area of the region bound by the graph of f(x) = −x^2 + 5 and the x-axis on…

A:

Q: Find the area of the region under the graph of f on [a, b]. f(x) = x2 – 6x + 14; [-1, 2]

A: Given  function is  : f(x) = x2 - 6x + 14  ; [ -1, 2 ] Method to find area under the curve : The…

Q: Find the area of the region bounded by the curve x³ x² + 2xy - y² = 0 and the line x = 4. (HINT:…

A: Given  x3 x2 + 2xy - y2 =0 x3 = (y - x )2 x3/2x = y      and   y = -x3/2x   AREA = ∫x1x21f(x)-g(x)dx…

Q: Use a trapezoid sume with n=1 to estimate the area of the region trapped between f (x) = sin x +1 on…

A: Given,         f(x)=sinx+1;          0, π2

Q: Find the area bounded by the loop of the curve y² = 4x²-x*

A: The given equation of the curve is: This can also be written as: The graph of this curve is:

Q: 2a一需

A: Here is the solution of the given problem.

Q: 3) Find the area of the surface formed by revolving the graph f(x) = ;x³ about the x-axis over the…

A:

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

A:

Q: Find the area of the region enclosed by the graphs of y = 2 sin(x) and y = 3 cos(x) From x 37T 0 to…

A: Find your answer below

Q: Use the Riemann Sum to find the area for the region bounded by the graph of f(x)= 2x+3x^2 and the…

A:

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

A:

Q: Find the area of the region lying between the r-axis and the curve In(3x) – 1 y = to the right of…

A:

Q: Approximate the area under the curve y = 3 ln(x² + 20) from x = - 9 to z = - 1 with 4 sub- intervals…

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Find the area of the region under the graph of f on [a, b]. f(x) = x2 – 8x + 20; [-1, 2]

A:

Q: Q1/A: Evaluate the area under the curve y = -3x2 + 6x + 5 between x = 0 and x = 2

A:

Q: Set up the definite integral required to find the area of the region between the graph of y = 11 - x…

A:

Q: Find the area of the region bounded by the graph of Z F7(2).png ... f(x) = avbx – x² g(x) = cx and -…

A: The common area will be the area with the x-axis for the downward-facing parabola minus the area of…

Q: Find the area of the region lying between the x-axis and the curve y = In(7x) – 1 to the right of…

A: Consider the function y=ln7x-1x2. Find region between the curve to the right of line x=e and  x-axis…

Q: Q1/ Find the area of the region bounded by the given curve (y = x² - 5) and the curve (x = -) by…

A:

Q: Find the area of the region bounded above and below by the graphs y = sin 2x and y = cos 2x, where x…

A:

Q: Consider the area of the region bounded by the curves y = 2x +1;x+y=7 andx=8. Which of the following…

A: We need to find the expression for the moments in x.

Q: Find the area of the region bounded by the graph of Z F7(2).png ... f(x) = av x2 and g(x) = = CX -…

A: For the given values of a, b and c , we get, f(x)=27x-x2   and   g(x)=2x

Q: Find the area between the curves y -0.2x e and y = 2.4x +1 from x=0 to x=2

A:

Q: Approximate the area under the graph of f(x) = 0.03x* - 1.44x + 43 over the interval [3,7] by…

A:

Q: Sketch the region bounded by f (x) = 3+ 10e¬2ª, g(x) = 3+2e", x = -1 and x = 1. Using calculus, find…

A:

Q: Find the area under the curve y = -over the interval [0, 4]. (2x + 5)2 Enter the exact answer. area…

A: Find your answer below

Q: The area of the region bounded by the curves f(x)=x²+1 and g(x)=2x+1 is best described by: a. ² [(2x…

A:

Q: Find the area of the region bounded by the curvesr = 2 cos 30 and x = y – 1.

A: The curves given are as follows: r=2cos3θx=y2-1 We know that x=rcos3θ, y=rsin3θ.…

Q: - Use the midpoint sum formula to calculate the area under the curve f(x) = x³ from x=0 to x-12…

A: Here h = b-an = 12-04 = 3

Q: Calculate the area of the region bounded by the graph of f(8) = cose sine and the 0 - axis %3!…

A: The given function is f(θ)=cosθsinθ. Simplify the function. f(θ)=2sinθcosθ2=sin2θ2 The function can…

Q: Find the area of the region bounded by the curve y = x³ – 2x² – x + 2 and the x-axis for -1 <x<2, as…

A: We will solve this question by using double integration. where,  y=0 and y=x3-2x2-x+2 and x lies…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.