33. Your metal fabrication company is bidding for a contract to make sheets of corrugated iron roofing like the one shown here. The cross-sections of the corrugated sheets are to conform to the curve Зп y = sin x, 0

Q: The region bounded below by the parabola y = x2 and above by the line y = 4 is to be partitioned…

A: Given,The region bounded below by the parabola y = x2 and above by the line y = 4 is to be…

Q: 1- Use trapezium's Rule with n = 4 to approximate the integral Vx dx

A: We have to use formula of Trapezoid Rule.

Q: Find the area between the curves y = 4 cos(6x),    y = 4 sin(12x),    x = 0,    x = π/12

A: Given,

Q: Set up the integral for the arc lengthof the function,y=4/3x^3/2for 2≤x≤6if you integrate with…

A:

Q: 3 Estimate the integral 1 dx by the trapezoidal rule using n = 4. + 1 Vx3

A: ∫abf(x)dx≈Δx(f(x0)+f(x1)2+f(x1)+f(x2)2+f(x2)+f(x3)2+⋯+ f(xn−1)+f(xn)2) where ∆x =b -an

Q: use Taylor’s formula for ƒ(x, y) at the origin to findquadratic and cubic approximations of ƒ near…

A: Given: The function f(x,y)= sin x cos y

Q: Find the area of the region between the curves y = sin(x), y = sin(2x), x = 0, and x = t/2. Area…

A: Given curve is : y=sinx   .......(1) y=sin2x   ......(2) To find the area of region between curve…

Q: How large should we take in order to guarantee that the Trapezoidaland Midpoint Rule approximations…

A: Given

Q: Find the length of the curve y = arcsin e* fromx = 0 to x = In?. Show complete solution of points of…

A:

Q: The approximated value of the integral fe* dx is equal to - Rule with step size (h=2). when using…

A:

Q: 4 1 -dx using the midpoint rule with three subdivisions to four decimal places. In(x) Approximate…

A:

Q: Your metal fabrication company is bidding for a contract to make sheets of corrugated iron roofing…

A:

Q: The edge of a cube was found to be 30 cm with a possible error in measurement of 0.l cm. Use…

A: Let the edge of the cube be x= 30cm And given error in measurement of edge dx= 0.1cm a) Volume of…

Q: Use the 4_segment trapezoidal Rule to numerically integrate. S(0.2 + 25x + 3x²) dx

A:

Q: Recall that the volume of a right circular cylinder of radius r and height h is V = r’h. Suppose…

A:

Q: The suspension calbes of the golden gate bridge can be modeled by the curve y=0.00037x^2 for lxl< or…

A:

Q: Find the area of the loop of the curve y2=x3 (1-x)6. Show complete solution of points of…

A:

Q: Use the Midpoint Rule with to approximate the givenintegral. Round your answers to six decimal…

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Q: Use the Midpoint Rule with to approximate the givenintegral. Round your answers to six decimal…

A:

Q: 15. Find the area of the region enclosed by the curve x = y³ – y' and the line x = 2y. (Hint: Need…

A: We are asked to find the area of the region

Q: Find the area of the surface oblalned by rotating tne curve y = V4x x = 0 to x = 3 about the x-axis.…

A: Below is the solution:-

Q: (b) Find a definite integral that represents the arc length of the curve over the indicated interval…

A: (a). Sketch the graph.

Q: use Taylor’s formula for ƒ(x, y) at the origin to findquadratic and cubic approximations of ƒ near…

A: Given function is  f(x,y)=y sin x Quadratic approximation of f near origin is given by  f(x,y) =…

Q: Calculate the arc length of the curve y=ln(cos x) from x=0 to x=÷. You will need to use the…

A:

Q: Use Simpson's rule with 2n = 10 subintervals to approximate the length of the curve. y = 3cosx , -<x…

A:

Q: Use the Trapezoidal Rule with n = 7  to approximate integral 0 to 20  cos (pie x) dx. Compare your…

A: To Determine: Use the Trapezoidal Rule with n = 7  to approximate integral ∫020cosπxdx. Compare your…

Q: 4) Then, compute the surface area of the solid that is formed by rotating y = sin (x) [0, n] about…

A: To solve the following problem

Q: 2 2 solid lying inside of the sphere, x+y² +z² = 16 , and inside the cylinder %D ll limits of…

A: An iterated triple integral in spherical coordinates to find the volume of the solid lying inside of…

Q: Evaluate the integral (8 (8x+15y)dx + (27x - y)dy along the parabolic arc y = x² from (0,0) to…

A:

Q: 6 Find the center of mass of a thin plate of constant density & covering the region in the first and…

A: Calculate center of mass for x coordinate: x=∫x=01∫y=-61+x261+x2xdydx∫x=01∫y=-61+x261+x2dydx…

Q: Using the trapezoidal rule with n = 4, estimate the integral / (x (x+1)² dx.

A:

Q: An innovative design company has commenced a design project to develop aftermarket carbon fibre…

A: The area under the curve can be obtained by integrating the curve with respect to the x-axis for the…

Q: Find the area of the surface resulting from rotating the curve given by y=(1/4) x2 - (1/2) ln⁡x,…

A: you can clearly understand if you follow the below solution

Q: The radius of a circular manhole cover is estimated to be 16 in. with a maximum error in measurement…

A: Due to our guidelines I am solving only first problem  The radius of circular manhole r = 16 in

Q: A hole of radius 3 is bored through the center of a sphere of radius 5. Let the cross- section of…

A: we will draw region which can be rotated to create solid region whise volume needed to find . Then…

Q: Use Simpson’s Rule with n = 10 to estimate the arclength of the curve. Compare your answer with the…

A: Given Data : Equation of Curve y=x3, 1≤x≤6     To Find : Arc length of the curve. The expression for…

Q: Approximate the integral S" x² sin x dx by Trapezoidal rule with n = 4. O Find the minimum n…

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Q: Find the are length of the curve y² = 3x between the from x=0 to x=9 ! Use integral approximation!…

A:

Q: The radius of a circular disk is measured as 24 cm with a maximum error of 0.2 cm of the disk.

A:

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's rule to approximate the integral 14 In(x)…

A: Solve the following

Q: 64 ans: su 3 6. Calculate the area between the Curve fcx) = x²³²_4 and the lines y=2x + 4 and y=0,…

A: area between curve

Q: 9 Set up an integral for the length of the Curve, yこx,05x<ト

A:

Q: 3. Change the order of integration sin dydx. Hence, evaluate the integral. y

A: Sol ∫0π∫xπsinyydydxChange order of integration =∫0π∫0ysinyydxdy

Q: 14) Find the moment of inertia of the region between the parabola y = 8 − x2 and the line y = 2 – 2x…

A: Let's find.

Q: 3.a) Apply the Trapezoid and corrected trapezoid rule, with h =, to approximate the integral £mcx+…

A:

Q: The dimensions of a closed rectangular box are measured as 89 cm, 61 cm, and 35 cm, respectively,…

A:

Q: The radius of a circular disk is given as 27 cm with a maximum error in measurement of 0.2 cm. Use…

A:

Q: The definite integral that can be used to find the arc length of the curve y =x-2 on the interval…

A: