An anemometer recorded yesterday's wind speeds. The strongest wind gust was 43 miles per hour. The second strongest wind gust was 39 miles per hour. How much stronger was the first gust than the second? Show your work in the space below. Don't forget

Q: By replacing a with 2x in the Maclaurin series for sin x, we can see that (−1)n 2²n+1 x²n+1 (2n +…

A:

Q: -2ux +4uy +4u = ex+³y.

A:

Q: Use a numerical solver and Euler's method to obtain a four-decimal approximation of the indicated…

A:

Q: Let  f(n) = n3 lg n and g(n) = 3n log8 n. Select all answers that apply.     f(n) is O(g(n))…

A: Relationship between the two functions

Q: Find a vector parametric equation F(t) for the line through the points P = (5,-5, -5) and Q = (10,…

A: The given points are P=5, -5, -5 and Q=10, -6, -9. (a) We have to find r→t when r→0=5, -5, -5 and…

Q: Let S be the set of all bit strings (strings of 0's and I's) of length at least 2. Which of the…

A: Answer :  ( C )  :  fs =  the string s with a 1 bit appended at the end.   Explanation :  Since for…

Q: 1. P(s) = 10 2. F(s) 572 S г 5+25 3. F(S) = + ㅗ 35-5 3 5²425 8 3 + 35²+12 5²49 Ale

A: (1)  Fs = ws+2 - 13s-5 +7s2       Take inverse Laplace transform on both sides then          L-1Fs…

Q: Consider the following LP problem developed at Zafar Malik's Carbondale, Illinois, optical scanning…

A: Given that  Maximize Z = X1 +X2 Subject to 2X1 +X2<=72 X1 +2X2 <= 72 X1 ,X2>=0

Q: 3) A comet follows the hyperbolic path described by 67) pg in millions of miles. If the sun is the…

A:

Q: 2.2. Use the Cauchy-Euler method with h = (m integer) to approximate 000) and compare the y(3) for…

A: Introduction: The Cauchy-Euler method is a numerical method used to approximate the solution of a…

Q: Rewrite the equation in exponential form. 1 log_(x)184=y

A: Here we have to rewrite the given logarithmic equation in exponential form.

Q: scribe the sampling distribution of p. Assume the size of the population is 20,000 n = 500, p=0.8…

A: According to the central limit theorem, the sampling distribution of sample proportion which follows…

Q: 3. Let D, E and F be 4x4 matrices such that det (D) = 2, det (E) = 3, and det (F) = 4. Calculate the…

A: For square matrices A and B of order nXn. The following properties hold. det(kA)=kn det(A).     For…

Q: How can I prove the following: Let G be a 2-connected graph. If e and f are parallel edges in G,…

A: To prove that G\e is 2-connected, we need to show that for any two vertices u and v in G\e, there…

Q: x = 2y + 1 z = -3x x + 3y -z = 4

A: Given system of equations is  x=2y+1 z= -3x x+3y-z= 4 solve this system by creamer rule and…

Q: P10.2. Let w := }(−1 + √√3i) € C be one of the complex roots of the polynomial x² + x + 1 E in C[x].…

A: Advance maths

Q: 5. The fourth-degree polynomial has two real zeros, one in [-1, 0] and the other one in [0,1].…

A: The given polynomial is - f(x)=230x4+18x3+9x2-221x-9 It is also given that the given function has…

Q: Which of the following functions defined on R2 has a global minimum? Select all of them. 3x² - y²…

A: A global minimum is a point where the function value is smaller than at all other feasible…

Q: Discuss the existence and uniqueness of a solution to the differential equation (8+t²) y" +ty' - y =…

A:

Q: Pr. 7 (Optional - Practice Problem) Find all eigenvalues and corresponding eigenvectors of [101] A =…

A:

Q: Find a point on the surface x - yz = 11 that is closest to the origin. (a, ± √b, √c), where a ,b= =…

A: We have to find the point on the surface x-yz=11 that is closest to the origin.

Q: 3. Solve the initial value problem. (a) y' - 2xy = 2xe², dy dx (b) 2²5 y(0) = 3 + 2xy = cos x, y(T)…

A:

Q: = Find a function g(t) such that (f* g(x)) = f(t). Then, compute L(g(t). s).

A: First, we need to find a function g(t) such that ddtf*g(t)=f(t). Note: There is a typo of writing x…

Q: d. What would the total interest be from Capitol Bank? Round to the nearest ten dollars. e. Which…

A: United bank offer a 15 year mortgage at an APR of 4.2% Capitol bank offer a 25 year mortgage at an…

Q: Negate the following statements and determine which is true, the statement or its negation. (a) P:…

A:

Q: Please show your answer to 4 decimal places. Find the direction in which the maximum rate of change…

A: The given function is f(x,y)=3xsin(xy) We have to find the direction in which the maximum rate of…

Q: Illustration 6.42 If F, and F, 2 are the feet of the perpendiculars from the foci S, and S₂ of the…

A: We know that the product of perpendiculars from two foci of an ellipse upon any tangent is equal to…

Q: Problem 5. Given function and the solid region E illustrated below f(x, y, z) = xy 0 x² + y² +²=8…

A: The given problem is to express the given triple integral of given function over the given solid…

Q: 11. (M 1) (core) Complete the following operations showing all of your work: [2 3 0 -3 0 1 x 60 1 4…

A:

Q: 7. A point charge of 7 nC is located at the origin. If V=6 V at (0, 5, -4), find (a) The potential…

A:

Q: Find the minimum and maximum of f(x, y, z)= ² + y² + subject to two constraints, 2+2y+z= 2 and a- y…

A: Given: fx, y, z=x2+y2+z2Subject to constraints:x+2y+z=2x-y=6 To Do: Find maximum and minimum values.

Q: The altitude of a certain airline jet on a cross-country flight is a function of time. The table…

A:

Q: (1) Fit an exponential x 0.4 800 model to: 0.8 1.2 975 1500 y (2) Fit the model y a10x to the above…

A: Note: As per the guidelines, we are supposed to answer only one question. Please repost for the…

Q: X= y ft) m 12 16 X 20 (a) At what values of x do the local maximum values of g occur? (Enter your…

A:

Q: True or false: If f: R\ {0} → R is uniformly continuous, then lim f(x) 2-0 exists. True False

A: f: ℝ\0→ℝ is a uniform continuous function , We have to verify whether limx→0fx exist or not

Q: The necessary and sufficient condition for a non – empty subset W of a vector space V(F) to be a…

A:

Q: 12. (M 2)Find the inverse of the matrix below. Show your work. A: 2 1 0 -2 4 6 0 0 -4 1 -5 0 0 0 -3…

A: Given matrix A=246010-410-50-3-2004 A=-244 Since A≠0 ,therefore the inverse exist.

Q: Use a line integral to compute the flow of the vector field Vf (the gradient field of f) over the…

A:

Q: Remark: This problem is the case that the coefficient matrix has complex eigenvalues. This case is…

A:

Q: 1. y" +9y = tan 3x

A: As you didn't mention the question number. So I solved the first question.

Q: (5) 25 +gy=3e2 y' - 2x - 2y = e X-7x +

A: (5) The given system of differential equation is            x' - 7x + (25/8)y = 3e2t    . . . . . .…

Q: he number of possible outcomes for this tree diagram is В B C A B B a P da da da

A: Here to calculate the all possible outcome First we all counts choices

Q: 4 Suppose V = R³ and W = R². Let f: V → W be defined by f(x, y, z) = (2x + z, 3y). (a) Find the…

A:

Q: The initial value of a function f = f (x) is 9. That is, f (0) = 9. Each time x is increased by 1,…

A: We are given that            f(0) = 9 Also, we are given the information that each time x is…

Q: Suppose that Shaquille O'Neal's cumulative free throw percentage, one month into the NBA season, is…

A: Advance maths

Q: Problem 5. Show that the sequence fn(x) = nxe-n²/2 converges uni- formly on (a, ∞), for any a > 0,…

A: To prove: The sequence fn(x)=nxe-nx2/2 converges uniformly on (a, ∞), for any a > 0, but it does…

Q: 5 Find the equation of the line with y-intercept - 7 and slope 7 y=0

A: I have explained everything with in the solution. Please go through that.

Q: Let S be the parallelogram determined by the vectors b₁ S under the mapping x+Ax. 3 = and b₂ ---H -6…

A:

Q: The volume of a rectangular box is modelled by the polynomial V(x)=x³-13x²+54x, and the volume of…

A: Given data: Let us consider the given data, Vx=x3-13x2+54x. The volume of the box is 72 cm3. i.e…

Q: If V=R\power{3}, and W\index{1} is the xy plane and  let W\index{2} is yz-plane:…

A: Let (a,b,c) be any element of R3, then (a,b,c)=(x,y,0)+(0,y,z)=(x,2y,z) ⇒a=x, b=2y, c=z ⇒a,b,c∈R ⇒…