For this homework, you need to find twice the location of the centroid of this surface. The geometry is defined by the blue surface. x₁-2 cm, x₂=6 cm, x3=10cm and y₁=6 cm. y₁ ус 20₁ →つ x 202 2) Use the composite bodies method to find the location of C a) Find the area of each usual shape and the total area. b) Find the location of the centroid of each shape. c) Find xc and yc, the location of the centroid of the surface. In the box below enter xc, the abscissa of the centroid C in cm, with 2 decimals.

Q: (a) Give all conditions that need to be satisfied so that the following function is a natural cubic…

A: From the given information:

Q: 5. The torque, T newton metres, required to rotate shafts of different diameters, D millimetres, on…

A: The given problem is to find the values of the a and n for the given exponential equation that fits…

Q: d²y 1. (a) Solve the second order differential equation 2- dx2 -12y+25sin(4x) = 0. 14 5 dx 1 (b)…

A:

Q: 7. Write the second-order ODE 2y" - 4y' +6y= cos(t), as a linear system (with forcing) for y(t) =…

A: This is about second order differential equation

Q: Use Stirling's formula to find the value of f(1.22) from the following data: x f(x) 0.84147 0.89121…

A: Find Solution using Stirling's formula x f(x) 1 0.84147 1.1 0.89121 1.2 0.93204 1.3…

Q: Consider the region R bounded by the parabola f(x) = 2x − x² and the line y = x a. Find the exact…

A:

Q: (a) log_(2)16=4 can be written in the form 2^(A)=B where A= and B

A: The logarithm expression log216=4. We have to rewrite the expression into exponential form.

Q: Assume that when human resource managers are randomly selected, 52% say job applicants should follow…

A:

Q: Find L S s²-48-7 Find L¹ 2s+6 s² +6s+34

A:

Q: Athletics of the 4,800 students at Medium Suburban College (MSC), 50 play collegiate soccer, 60 play…

A: To draw venn diagram for given word problem.

Q: Let m > 2 be an even integer and let n > 2 be an odd integer. Finda formula for the number of…

A: Here, the even integer is m>2. And the odd integer is n>2. A formula for the number of…

Q: Determine whether the following statements are true or false? (a) When interpolating n data points,…

A: Interpolation is the means of finding the function's value within a range of the input data

Q: Question 5 Use the appropriate test to determine convergence or divergence of the following series.…

A: We can represent a series by the expression ∑n=1∞ an, where an is the nth term and an is a function…

Q: Write the standard matrix for a R² → R² linear transformation that rotates points radians about the…

A: Linear transformation, ℝ2→ℝ2.Rotation angle in radians=π6

Q: Suppose x₁ is a solution to the equation Ax=b₁ and that x2 is a solution to the equation Ax = b₂.…

A:

Q: Show that the line integral is independent of path. 2xe dx + (2y-x²e)dy, C is any path from (1, 0)…

A:

Q: The functions f(x), g(x), and h(r) are shown below. Select the option that represents the ordering…

A:

Q: 3. Determine which of the pairs of vectors are orthogonal. (a) a = (b) u = (c) y = 8 12 -5 3,0 = -3…

A:

Q: a) Find the general solution to the system of equations 2 1 #-3--0 x + -1 0 dx dt = t " where x(t) =…

A:

Q: Use the given information to complete the solution of each partially solved Venn diagram. n(A) = 13,…

A:

Q: If g (0, ∞) → (0, ∞) is continuous with limx→0 g(x) = +∞o and Σ an is converging series with…

A:

Q: Find a potential function for the vector field: - - F(x, y, z) = (z³ — 2xy², z² – 2x²y,3xz² + 2yz)

A:

Q: . The variance of a sample of data is 4. The standard deviation of this sample is: a) 16 b) 4 c) 2…

A:

Q: The current, I milliamperes, in a circuit is measured for various values of applied voltage V volts.…

A: The given problem is to find the best fit for the given recorded values and also find the suitable…

Q: For this Big Problem, we’ll pretend you work for MathWorld Airlines. Your job is to figure out…

A: As per Bartleby policy, we can answer for only first 3 subparts in case of multiple sub parts are…

Q: discover two applications of the Heun method

A: The Heun method is a numerical integration technique used to approximate the solution of…

Q: (1) From the following table of values of x and y = e*, interpolate the value of y when x = 1.91: X…

A: The table of values is: x 1.7 1.8 1.9 2.0 2.1 2.2 ex 5.4739 6.0496 6.6859 7.3891 8.1662 9.0250…

Q: A function f(x) passes through the points (15,24), (18,37), and (22,25). Use Newton's Divided…

A: Using the given points of intersection make a table of values. x fx 15 24 18 37 22 25

Q: In a DEG instruction, the Source is 6.2831854. What will the Destination be after it is evaluated?

A: The DEG instruction is used to convert an angle from radians to degrees. The formula for converting…

Q: For this Big Problem, we’ll pretend you work for MathWorld Airlines. Your job is to figure out…

A: As per Bartleby policy, we can answer for only first 3 subparts in case of multiple sub parts are…

Q: Find the orthogonal projection of onto the subspace W of R4 spanned by projw (7) = 1 1 v= 1 1 6 0 0…

A:

Q: The number of arrivals per minute at a bank located in the central business district of a large city…

A: Arrival, x frequency, f 0 17 1 36 2 45 3 37 4 25 5 18 6 12 7 7 8 3 Total 200…

Q: Rewrite the expression log_(6)216=3 in equivalent exponential form.

A: The logarithm expression log6216=3. We have to rewrite the expression into exponential form.

Q: The motion of an object falling from rest under gravity, subject to a drag force proportional to the…

A: Initial value problem: dvdt=g-εv2 , v0=0....[4.1] To Find: a) How does v vary with t. b) Show under…

Q: (18) Find [S], where S = {(a, b, c)|a, b, c E [100], a <b, a <c}.

A: Here is how the set S is defined: S = {(a, b, c) | a, b, c ∈ [100], a &lt; b, a &lt; c}   We must…

Q: Question 3 Suppose {s} is a sequence which is not bounded above. Construct a monotone subsequence…

A: Given that sn is a sequence which is not bounded above. To construct a monotone sub-sequence snk…

Q: sketch and set up the iterated double integrals equal to the mass of the lamina in the shape of the…

A:

Q: 3. Find dx at x = 1 x y = f(x) also find 1 1 at x = 1. 2 8 3 27 4 64 5 125 6 216

A:

Q: 6. Which of the following is NOT a tautology? OA(-4)-1 OB. AV (4) OC. [(AAB)-C] + [4-(BVC)] OE…

A: A tautology is a logical statement that is true under any interpretation of its terms.

Q: 2. Consider the boundary-value problem a²u a²u ax² 0<x< 1, 0<t<0.5 u(0, 1) = 0, u(1, 1) = 0, 0≤t≤…

A:

Q: If f is a homomorphism of a group G into a  group G' with Kernal K. Let a∈G be such  that…

A:

Q: 4. a. A = b. A = 1 1 1 0 -1 1 -1 2 0 012 2 1 1 -1 17 1 13 2 2. b = 0 b = 3 5

A:

Q: ven ? is a positive integer, prove that ? is even if and only if 5? + 6 is even. You must use…

A:

Q: 5. Use an interval of 0.001 to determine the instantaneous rate of change of the function g(z) = 3z³…

A: To find the instantaneous rate of change of the function g(z) at z = -3, we need to use the…

Q: Question 17 Use a finite approximation to estimate the area under the graph of the given function on…

A: The curve is: fx=x2. We have to find the area under the curve between x=1 and x=5 using midpoint…

Q: (1) Think about the function f(x) = x². (a) Pick a domain for f. Based on that domain, give the…

A:

Q: Define f: [0, 1] →→ R by the property that 1, if is rational, f(x) = a 0, if ar is irrational. True…

A: f:0, 1→ℝfx=1, if x is rational,0, if x is irrational.

Q: Analyze the scenario and complete the following: i. Complete the discrete probability distribution…

A: Given that the value of a ticket in a lottery, in which 2,000 tickets are sold, with 1 grand prize…

Q: 7. For each statement below, indicate whether the statement is true or false. {1} ⊂ (0,2) {1} ∈…

A:

Q: €₁ = Let y = 5 -5 and u = 1 . Write y as the sum of two orthogonal vectors, ã₁ in Span {u} and ₂…

A: Given that the vectors  y→=5-5-1  and  u→=1-61   .