The velocity of a car was read from its speedometer at 10-second intervals and recorded in the table. Use the Midpoint Rule to estimate the distance traveled by the car. (Use the Midpoint Rule with 5 subintervals. Round your answer to one decimal place.) mi t(s) 0 10 20 30 40 50 v(mi/h) t(s) v(mi/h) 0 60 56 34 52 56 55 51 70 80 55 50 90 47 100 45

Q: The matrix A has eigenvalues λ = 1, 2, 3, 4. Is B -4 555 -6 2 6 6 -7 0 3 7 -8 5 5 9 = -3 55 5 -6 3 6…

A: Given that the matrixhas eigenvalues .andWe have to check whether the matrix B is diagonalizable or…

Q: be a sequence of F-integrable functions on [a, t ow f is F-integrable and

A: Let  be a sequence of integrable functions whose choose  are arbitrary.Since  is uniformly…

Q: Prove that if n is odd then 3n+ 7 is even. Show that if n is an odd prime number it is not…

A:

Q: 7πT Find the slope of the line tangent to r = π at 0 = 4

A:

Q: 3 Integrate f(x,y,z) = x + √√y - z³ over the path from (0,0,0) to (3,9,3) given by C₁: r(t) = ti +…

A: The given function is,Let,Also the given paths are,So,

Q: Consider the following system of coupled initial value problems: = = -2y + 5e-t y(0) = 3 dt =-yz²/2…

A: Given information:System of coupled initial value problems:To find:The value of  at .Concept…

Q: Construct the 5th term in sequence based on recursive definition. Show how you derive each term…

A: Construct the 5th term in sequence based on recursive definition. Show how you derive each term…

Q: 3. Given the function h(x) = - 2 (x-1)² a) Determine the restrictions on x and state the domain of…

A: The given function is (a)  At x = 1 we get         hence…

Q: Determine whether the improper integral 9 it converges. a. 100 b. 2 C. -1820 50 d. 22 11 9 e.…

A:

Q: a) S SR y dA. Y b) S Sy dA

A: Given, D is the region inside the unit circle centered at the origin.L is left half of DR is the…

Q: Find the optimal strategies, P and Q, for the row and column players, respectively. 28 P= Q= x X -5…

A:

Q: Explain why The Ratio Test is unsuitable for determining the convergence of the given series. To…

A:

Q: Explain the integral obtained in Green's theorem of a vector field F(x,y)=-(1y/2)i + (1x/2)j that…

A:

Q: Suppose R is the shaded region in the figure. As an iterated integral in polar coordinates, B D f…

A:

Q: Homing pigeons avoid flying over water. Suppose a homing pigeon is released on an island at point C,…

A:

Q: du д-и k Ət Əx² u(x,0) = f (x) = du əx (0,t)=0 ди Əx (L,t) = 0

A:

Q: Prove that if R is an integral domain of character- istic p where p is a prime number. Then for any…

A:

Q: (2) For the following assertions, determine whether the each statement is true or false. If you…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Prove that the graphs G₁ and G₂ are isomorphic. G₁ b с 1 2 G₂ 5

A:

Q: SOLVESTEP BY STEP DON'T USE CHATGPT Prove that the following vector is conservative f(x, y) = (exy +…

A:

Q: 1. Let R be the ring of all functions f: R → R, with operations of pointwise addition and…

A: Ideal:  Let  is a ring. A nonempty subset  of a ring  is call an ideal of , if following are true.…

Q: 6. Let f be continuous on [a, b]. Show ffdF = f(x) [F(b) – F(a)] for some x € [a, b].

A: This is a consequence of the intermediate value theorem

Q: What are the critical points of f? On what open intervals is f increasing or decreasing? At what…

A: Note - Since you have posted multiple question we will solve first 3 sub parts as per…

Q: What is the longest line segment that can be drawn in a right rectangular prism that is 12 cm wide,…

A:

Q: Problem 2 . Let M(d) be the set of all matrices with the size d x d, where d E N and d≥ 2. (a)…

A: Given Information:The set is the collection of all matrices with the size .To show:a)  if  are…

Q: (2) We have been working on finding minimums and maximums in our calculus class. You need to…

A: This is based on application of derivatives surface area as a function of radius and then try to…

Q: Find the optimum strategies for player A and player B in the game represented by the following…

A: The given payoff matrix is .

Q: Let L be the line passing through the point P(−4, −3, 4) with direction vector d=[-3, 3, 0]T, and…

A:

Q: Let a = 2 3 3 2 1 4 4 5 6 563 ) and 3 = ( 1 4 2 3 4 5 1 6 3 2 6 5 be permutations.

A:

Q: Which of the following transformations are linear? Select all of the linear transformations. There…

A:

Q: 2. Let u₁ -8 ] 10 4 Determine if x is in the span of ₁, ₂, and 3. If x is in the span then express…

A:

Q: Write a double integral in Cartesian coordinates that gives the volume of the region in the first…

A: We have to set up the double integration for the volume in the first octane

Q: 3. Let T : R² → R² be defined by T = X Y -x+y x-y

A: 3. Given that  be defined by:

Q: E bounded by the paraboloid y Question 7. A particle is moving along the quarter of the circle x² +…

A:

Q: 1. Let D = {(x, y) = R²|x² + y² ≤ 1} be the unit closed disc in R² and E := {(x, y) ≤ D\y = mx for…

A:

Q: e differences in the average velocities (inc

A: The differences in the velocities for the three temperatures: As the temperature increases, the…

Q: Consider a rectangle in the fourth quadrant of the xy-plane whose two adjacent sides are on the…

A:

Q: 14. A 15 ft ladder is leaning against a wall. The base of the ladder is 3 ft from the wall. How high…

A: In abobve figure:AC =  length of the ladder ( Hypotenuse ) = 15 ftBC =  The ladder is 3 ft from the…

Q: Compute the following coefficients of the Fourier series for the 27-periodic function f(t) = 5…

A: Consider the provided question,we have to find the values of,

Q: Consider the differential equation 3x²y-x-2. Let f(x) be the particular solution to the differential…

A: The given differential equation is dydx=3x2y−x−2 has as particular solution passing through (−2,0).…

Q: Let a : V → V be a diagonalisable linear map where V is a vector space of dimension 4 over the field…

A:

Q: Use the Laplace transform to solve the following initial value problem: y" +10y' +25y = 0 y(0) = -1,…

A:

Q: 2. Compute ffery dS, where S is the surface of the tetrahedron with sides z = 0, y = 0, x + z = 1…

A:

Q: 15. In the following figure, two poles are 25 m and 15 m high. A cable 14 m long joins the tops of…

A: We use pythagoras theorem to find the distance between two poles.

Q: Wayne’s snowboard is 90 cm long. Luke’s snowboard is 120 cm long. i. Luke’s board is what percent…

A:

Q: Color blindness is a sex-linked, inherited condition that is much more common among males than…

A:

Q: Write the limits of integration for Sw dV in the following coordinates (do not reduce the domain of…

A:

Q: Suppose ƒ and g are continuous at a. Prove the following using e-d arguments. (a) fg is continuous…

A:

Q: Use geometric series formula to calculate: 10+50+250+...+10*5^m, where m(greater than or equal to)0

A: geometric series

Q: The payoff matrix and strategies P and Q (for the row and column players, respectively) are given.…

A: The payoff matrix and strategies P  and Q ( for the row and column players respectively) areWe have…