A ball is bounced directly south, with an initial velocity of 10 m/s off the ground, with an angle of elevation of 30 degrees. If the wind is blowing such that the ball moves at a constant 3 m/s to the east, where does the ball land? Set up the acceleration, velocity, and position vector functions to solve this problem.

Q: Find the missing values. Round to 2 decimal places. Question Answer mLX 4 mLY Submit Answers 8,

A: For a right angled triangle: Using the sine rule, it can be written that: sin θ=ph. Using the cosin...

Q: 2. Consider a fourth-order polynomial approximation 0e (x) = a, + a2x + a3x2 + a4x3 + a5x* applied t...

A:

Q: 1 The sum of the series: 2 4 8. 16 equals to: -... 3 9. 27 81 3 5 10 Option 3 O Option 2 11 10 Optio...

A:

Q: Prove that if A is invertible and B is row equivalent to A, then B is also invertible.

A:

Q: dx 1+ax log Evaluate 1-ax

A:

Q: Construct the addition table for Z5. Using this table, or otherwise, determine the following x in Z...

A: First we find addition table for Z5. Then find values of x.

Q: Assessment ...... ... h.... Find out how much knowledge you have gained in this module. Choose the l...

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three sub-...

Q: Determine the line and the reason for the entry on line 3 given the following part of a formal proof...

A:

Q: (1) -) Let o, t e S6 such that 1 2 3 45 6 1 T = 3 4 and 6. 4 3 5 1 2 1 6 5 4 Determine the following...

A:

Q: The surface area of a rectangular prism is  850 m2. Find the volume if the length is 10 and the widt...

A: Given that the surface area of a rectangular prism is 850 m2 and the length is 10 m, width is 11 m.W...

Q: aximum v al [1, 5] is

A:

Q: 5. Find all the values of the argument a with which the equation tg(2n (x +)· lg(4x + a + 3) = lg(4x...

A: We will use basic knowledge of sets and functions to answer this question as follows.

Q: 3.21 Pointwise maximum and supremum. Show that the following functions f: R" → R are convex. (a) f(x...

A:

Q: find the root/s using Bisection Method x-e^-x=0   Ans. x=0.567

A:

Q: DB1.1: Mathematical modelling is an important skill in egineering. If there are behaviors and phenom...

A: Solution:- Modeling involves to formulate the real-life situations or to convert the problems in mat...

Q: 5. Write an equation of a line that is perpendicular to y = 3x - 4

A:

Q: The seamstress has a length of 18 feet of material on a bolt. She plans to use the material to make ...

A: The seamstress has a length of 18 feet of material on a bolt. She plans to use the material to make ...

Q: Please

A: We use Gaussian Elimination method.

Q: Solve 18xy +sin (2x-y) = 0.

A: A partial differential equation can be solved in various ways. One of these methods is the method of...

Q: Let f(x) = x2 – 6 and po = 3 and pi = 2. Use Secant method Example: to find p3.

A: Given: f(x)=x2-6, p0=3 and p1=2 To find: Value of p3 using Secant method.

Q: Find the prime factorization of the number. 32,625 O A. 3°.52-29 O B. 3*- 29 Oc. 5-29 O D. 3?-5°- 29

A:

Q: Perform the indicated operation and simplify if possible. /2. 17 O A. V14 О в. 14 OC. V9 O D. V2

A:

Q: Complete the steps by applying trig identities to show that the left hand side of the equation is eq...

A: We have to prove the identity 1+tan2x1+cot2x=tan2x. Use formula tanx=sinxcosx and cotx=cosxsinx Take...

Q: given : A= -2 2 4 3 2 2. 3 2 2 B= -3 2 2. 4 2. 4 F= . -2 3 4 -2 3 2 4 L4 2. Find the resultrig matri...

A:

Q: Suppose that v = (0, y, 0) is the velocity field of a fluid and let S be the surface defined by y = ...

A: Given, the velocity field v→=0, y, 0and S be the surface defined by y=x2+z2, with y≤1.

Q: Which of the following is equivalent to the propositional form (E=P)v ¬Q if we apply De Morgan's Law...

A: By applying De Morgan's law on (~P)ν(~Q) we will get ~(P∧Q) So, by applying De Morgan's law on ~(E⇒P...

Q: The message 22 27 13 15 32 41 26 26 36 51 44 57 45 57 1 1 was encoded with matrix A. Decode the mess...

A: Given: The encoded message "22 27 13 15 32 41 26 26 36 51 44 57 45 57 1 1" and the matrix A=1213. Th...

Q: Find the prime factorization of 99. The prime factorization is

A:

Q: 3. Note. The following integral formulas may be useful for this question: i) | In(x) da = x ln(x) – ...

A: We have to find the volume of given region.

Q: Compute the specified quantity. You take out a 5 month, $6,000 loan at 8% annual simple interest. Ho...

A: Multipart:   1) Here, we have ,  P = $6000 , r = 8%  = 8100 , t = 5 months  ,  t = 512  years We kno...

Q: How long will it take for payments of $350 to accumulate to $12,000 at 3% compounded monthly if made...

A: a Given information Future value FV=$12,000 Periodic Payment PMT=$350 APR=3% compounded monthly ⇒APR...

Q: Perform the indicated operation. 5/128 +9/8-3/162

A:

Q: Find the third iteration value in finding an extremum (maximum/minimum) value of f(x...

A: Given,                 f(x)=5sin(2x)-2x2 and  initial guess of x = -0.38.

Q: 3. Consider the function f(t) = 2t? – 3t + 7 on the interval –1 <t <1 with periodicity P = 2 Give a ...

A:

Q: Use Newton's method to calculate the real roots of the following polynomi- als as accurately as poss...

A:

Q: Before arriving at his famous conjecture, Goldbach had conjectured that every odd positive integer g...

A: Goldbach conjecture says that every integer greater than 5 is the sum of three primes.  

Q: ay + 2y = 3 dx %3D dy + 4y = x³ - x dx dy .2

A: A first order linear differential equation is expressed by the form  dydx+Py=Q Here, P and Q are eit...

Q: The general solution of the differential equation (x + y)°dx – (y² – 2xy – x?) dy = 0 is

A: Here we have to find general solution of given differential equation

Q: Let f(x) = | in (2 + sin tjdt. If (3) = 3 then what is f(4yP Choose the correct answer below. А. 6.9...

A: When a function is differentiable over a certain interval, its derivative is integrable over that in...

Q: The position of a particle along a straight line is given by s = (t3 acceleration and maximum veloci...

A:

Q: * Consider a piecewise linear interpolation of exp(x), O<=x<=2, with h=0.01; that is, split [0,2] in...

A:

Q: Does the sequence (a converge or diverge? Find the limit if the sequence is convergent. (3n +7)! a, ...

A: A sequence an is convergent if it approaches to some finite limit. That is, if  limn→∞ an = L and if...

Q: 0.7 SJre by 0.5 Is using simpsc SC to 4 decimal pl

A:

Q: Classify all singular points of the function f(2) sin() cos z. %3D

A: here Z=0 and Z= -2 are singular points.

Q: Consider the density curve plotted below: Density Curve 0.137 0.125 0.112 0.1 0.088 0.075 0.063 0.05...

A:

Q: 91. State whether the approximation MN or Ty is larger or smaller than the integral. (a) | sin x dx ...

A: Since you have asked multiple questions, we can solve first question for you. If you want other ques...

Q: Question 15 Let M denote "Miyazono plays violin.", A denote "Arima plays piano." and S denote the Mu...

A: Option D is correct

Q: Note : m=8 2. 7 4-x a. Let f-1(x) = .Find f (x). m+4x b. If g(x) = 3 + v2x – m and f(x) – 1 = x² , t...

A:

Q: Which ordered pair is the solution to the system of equations? (2,6) A B (4, 10) (6,2) D (10,4)

A: Given equations: y=x+6y=2x+2

Q: If det(A)=5, det(A1)=20 and det(A2)= -10, then the solution (values of x and y) of the linear system...

A: Given that detA=5, detA1=20 and detA2=−10. We have to find the value of x and y by using Cramer rule...