Using the data in the table, the distance traveled by the runner for 20 minutes can be obtained by solving the integral below. 20 I = = 50⁰ v.dt Calculate how many meters the runner traveled during the 20-minute period using the trapezoidal method and the multi-point Simpson method and compare the results.

Q: Using

A: We use Vector Method.

Q: Find z=f(x, y), and use the total differential to approximate the quantity (3.01)2(8.02)-32-8. Round…

A:

Q: x=linspace(1,5*pi/3,50); y=linspace(-pi/2,pi/2,50); z=3*sin(x)^2+y^2+7; how many square units of…

A: The given function is z=3y2sin2x+7 and x=1,5π3,50 , y=-π2,π2,50. To determine: How much fabric is…

Q: g(t) = f(2t) d dt

A:

Q: Suppose a ₁ <... <a € R. Where does the minimum value of f(x) = Σ (a₁-x)² occur i=1 O a1. Of need…

A: It is given that,  f(x) = ∑i=1nai-x2  where  a1&lt;a2&lt; ... &lt; an ∈ℝ We have to determine that…

Q: lim sec lim sec, = sec π.Χ. TEX JUI nin

A: given graph of f(x)=secπx4

Q: 5. The sum of thrice a number and two equals 6 less than four times the number. Find the number.

A: We have to find a number that satisfy the following condition:     The sum of thrice a number and 2…

Q: uppose two circles intersect at A and B. Let P be point on one circle, let PA intersect the second…

A: We have show that the length of CD is independent of the location of P from given picture.

Q: Find the limit infimum and limit supremum of the following. Write a brief and concise…

A:

Q: 13. In finding a smooth piecewise parametrization of path C, A. the direction of the sub-paths must…

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

Q: Consider a nonlinear system for two populations with equilibrium points (0, 0), (0, N), (.), and…

A: Given Data: The Equilibrium points(0,0),(0,N),(N/2,N/2)  and Jacobian  J(x,y)= -2x+yx-y-x+N-2y

Q: 1. On Supplements of equal angles are equal S A E C Ange S is the supplement of Angle A, as angle G…

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

Q: 4. Suppose that , and are distinct eigenvalues of matrix A with corresponding respectively. Show…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Identify the type of solution for each problem and solve for the general solution. Choose the most…

A:

Q: Question 1 A periodic function f(x) is defined as 3, f(x) = {x, [ f(x+2) -1<x<0, 0<x< 1. Based on…

A:

Q: Example 22 Matrix B shows the number of sightings of rare birds made by members of a birdwatching…

A: a. (i) Given  B=13342521135710P=1111Q=111 To find the product A=PB proceed as follows…

Q: Example 1 [1 2 2 Given Q = 4 5 31 6 and P = L7 8 91 ΤΟ 1 LO Ο 0 0 1 OJ (a) Pre-multiply Q by the…

A:

Q: . In your sock drawer, you have 3 RED socks, 4 BLUE socks and 5 GREEN socks. What is the probability…

A:

Q: A solid, G is bounded in the first octant by the cylinder x² + z² = a², plane y = x, and y = 0.…

A:

Q: (c) (i) Use De Moivre's theorem to show that, if sin 0+0, then (coto+i)2n+¹-(coto-i)²+1_sin (2n+1),…

A:

Q: 5. Evaluate the following integrals & • §. с Z e CASTZ dz, c: 1Z-il=1.5 ans? -uisinh/2 n **********

A: 5. To evaluate: ∮Cezcosπzdz where C: |z-i|=1.5

Q: Show that y" + ay' = b, wherein a and b are constants, can be reduced to y' =+ C₁e-ax using 2…

A:

Q: If D is the region enclosed by y = 1, x = 7, and y = 7x. Then Select one: True O False Jy dA = 693.…

A: The region D is enclosed by  y=7x,x=7,y=7xto find the value of  ∫∫D14ydA

Q: - Solve the initial value problem 25y" − 40y' + 16y = 0, y(0) = 2, y'(0) = 3. Choose one Decreasing…

A:

Q: Example 5 Eva, Wong, Yumi and Kim are students who are staying in a backpacker's hostel. Because…

A: a) summarize the info in a network diagram

Q: Determine if R is (1) a field (2) an integral domain (3) a unital ring, where R= {2+y√P+2√z, y, ze…

A:

Q: Find a basis for the orthognonal complement of U = span 1 -2 1 - 1 -2 1 Number of Vectors: 1 Basis…

A: Solution:

Q: =S & • I = dx (x²+9²)2

A:

Q: QUESTION I a) Find the domain and range of the function 3 b) Ifw-/(..), where p--.--. and r that 10w…

A:

Q: 2. Graph the following exponential functions then state the domain and range [Hint: find parent…

A: Given: 2) y=-32x-2+2 To sketch: The graph of given function.

Q: The table below gives the result of an observation, is the observed temperature in degrees…

A: We have to find the solution of the given problem.

Q: 6) Find the limit infimum and limit supremum of the following. Write a brief and concise…

A: As per the policy, we are solving 3 subparts. Please repost the question and specify which subpart…

Q: 4 r= 1+2 cos 0 (inner loop only)

A:

Q: are & and a 1 The probabilities for a signal to be received or not received a, respectively. As a…

A: Given: We need to determine how much information about the signal's presence at the input we can…

Q: Find the general solution of the differential equation y" + 2y + 5y = 4 sin(2t).

A:

Q: Find the moment of mass from the x-axis for y = x ln(x) - 3x and y = 1 bounded by x = 3 and x = 6.…

A: Given that y=xlnx-3x, y=1 bounded by x=3, x=6.

Q: Consider the following system of linear equations, 2x₁ + 3x3 + = -1 = 7 X1 3x₁ + 3x₂ 5x3 + 3x4 = 6…

A: matrix form of the given system 21-3112-2233-5345-75x1x2x3x4=-17610 Augmented matrix…

Q: Estimate the error in using the partial sum of 25 terms of the series Error ∞ k=1 ܕܝܢ k6

A: We have to Estimate the error in using the partial sum of 25 terms of the given series.

Q: © Let fe= x² + x₁ (5) こ a) Find the en Riemann sun for fox where n = 6₁ [=1,2] 5) Find the integral…

A:

Q: A tour guide charges a price of $600 per person for a jungle tour and typically 8 persons sign up…

A:

Q: 5. Evaluate the following integratis. • $ +1 Z e CASTZ *the dz, C : |Z-il=1.5 ans? -uisinh/2/2 2…

A: To Evaluate: ∮Cezcosπzdz where C: |z-i|=1.5

Q: Find the solution of the initial value problem y" + 36y = 0, y() = = 6, y' (7) = -12. Sketch the…

A:

Q: (5) (a) For all n € N and a + 0, show that = 1 1 q" T

A: 5 a) To Prove: ∑k=1na-1ak=1-1an. As per policy, we are solving only the first question please post…

Q: Ўitsўіхву. ч. +8 Ця +7ўz FЧу; таўст бу, 2 * Чуа +2y=0 20

A: As per the question we are given a system of second order linear homogeneous differential equations…

Q: Use Lagrange multipliers to minimize the function f(x, y, z)= x² + y² + z² subject to the following…

A: Given fx,y,z=x2+y2+z2 and the constraints are  x+8z=2, x+y=4   To Use: Lagrange multiplies to…

Q: Write the function in terms of unit step functions. Find the Laplace transform of the given…

A:

Q: Show that VxEA -P(x) is equivalent to 3x EA P(x). Please show the steps and details as much as…

A:

Q: The position of a baseball (in ft) is represented by r(t) = 45√2ti + (3+45√2t - 16t2)j. Find the arc…

A: Given rt=452ti+3+452t-16t2j

Q: Draw the digraph of the machine whose state transition table is shown. So $1 $2 012 So So So $1 So…

A: This graph has three vertices s0  , s1,s2 .Each vertex takes a value {0,1,2} and goes to another…

Q: 6. Determine if the following quadratic forms are positive definite, positive semidefinite, negative…

A: