In a pumpkin tossing contest in Morton, Illinois, a contestant won the catapult competition by using two telephone poles, huge rubber bands, and a power winch. Suppose the pumpkin was launched with an initial speed of 125 feet per second, at an angle of 45°, and from an initial height of 25 feet. Not drawn to scale 45° 25 ft Write a set of parametric equations for the motion of the pumpkin. a. b. Use the equations to find how far the pumpkin traveled. Show all your work.

Q: Find and graph all the roots in the complex plane. (3 + i4)5

A:

Q: Theorem 9. The following statements regarding the set E are equivalent: (i) E is measurable. (ii)…

A:

Q: Find and graph all the roots in the complex plane. 3. (3 + 14)

A:

Q: [P-2] (kindly provide complete and full solution. i won't like your solution if it is incomplete or…

A: Let us solve the trigonometric application based problem in the the next steps.

Q: Find the sum of the three harmonic motions: x1(t)=10cos(wt + 2)  x2(t)=15sin(wt + 2) x3(t)=…

A: Consider the given three harmonic motions: x1t=10cosωt+2x2t=15sinωt+2x3t=15cosωt here we need to…

Q: Question 1 The gradient of the line shown is 4 B. 3 c. 1 D. 1 2 3 4 5 Question 2 The shaded region…

A:

Q: Use differentials to determine the approximate change in the value of V4x + 3 as its argument…

A: Use the following formulae, to obtain the solution.…

Q: I. Write T if the given statement is true with respect to the underlined term(s); otherwise, write…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: TRUE OR FALSE 13. Odd numbers have two factors or pi is an irrational number. 14. 3 is divisible by…

A: Here, we need to identify true or false. For (13), Statement: Odd numbers have two factors or pi is…

Q: 8 3log3 * (16x² – 6)12dxr

A: We will use the property of logarithm function  aloga(b)=b so 3log3(x)= x then we get…

Q: Use membership tables to prove that A – (Bn C) = (A – B) U (A – C). %3D |

A: We want to prove the set identity A-(B∩C)=(A-B)∪(A-C) using membership table . Here we will use…

Q: Give an example of a matrix A with the order 2x2 along with two vectors a and b, with terms a is an…

A: Use simple matrix theory of eigenvalues to come up with this example

Q: o find the root of fW =Q-x)e"_1 of use N.P.M

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to approximate the root of the equation:…

Q: 3. Find the angle of the largest right circular cone which can be inscribed in a sphere of radius 9…

A:

Q: 4: Solve the following differential equation using Laplace transform 1. y y, +3yz, y = 4y, - 4e y(0)…

A:

Q: Solve for the laplace transform using the formula. F(t) = e-2t-5 G(t) = t5 - e-t + 5(t – 1)2

A:

Q: ty +(2t+1)y = 3t, y(1) = 2. %3D

A:

Q: IF S= 5A<(2E-D']find the value of the following #1 P11 # 4 P21 #7 P31 #2 P12 #5 P22 #8 P32 #3 P13 #6…

A: To find the required matrix :-

Q: Let G be a graph with vertex set V(G) = {vi, v2, v3, V4, V5, V6, V7} and edge set E(G) = {v}v2,…

A:

Q: Q4) Find the maximum eigen value for the system A with initial vector 5 4 x' (0) = (1 1)

A:

Q: The mathematics department of the College of Science consists of four people: Josie who is…

A: Using the logical assertions presented, we must derive the hobbies associated with the individuals.

Q: DO NOT include spaces in between characters. * The point (3,2 )is on a curve, and at any point (x,…

A: To find the equation of the curve :-

Q: prove a Bolzano–Weierstrass theorem and explain on how you prove the theorem. Thank you

A: Solution:-

Q: A box 12 feet by 15 feet by 20 feet contains 988,676, 1.5" diameter balls. What percent is empty…

A:

Q: If J= {x € Z|0 |O|. %3D Let F = {x € R | x5 is defined }. Then, F is a proper subset of R. If G =…

A: The given set is J=x∈Z: 0&lt;x&lt;4=1,2,3 So the number of elements of the set J is n=3. Hence the…

Q: Let S be the set of all (nonnegative) 4-digit integers. How many integers does S contain? Enter your…

A: Solution:-

Q: Solve the IVP: y" -y' + 4y = 0; y(-2) = 1, y'(-2) = 3. %3D %3D

A:

Q: (Tælß) = (a|T"ß) %3D

A:

Q: II. Let U = R . 아} = {x €R|x° – 14x³ + 45x = 0 J= {x€R]x° 2}. Find the following. All infinite sets…

A: 1. J' is the complement of the J   since we have  J= {x∈R s.t x≤6 } Hence  J' ={x∈R s.t.x&gt;6}…

Q: TRUE OR FALSE 16. The exclusive disjunction of -1 < 1 and – 1+1 = 0 is true. 17. A conditional…

A: Answer (16) - FALSE

Q: Match the following time-complexity functions with their big-O catagory. fn)3n log2(n) + Vn Ofin)…

A: Solution

Q: 1 5 B = 3 -1 -2 -2 ? Why? 3 2

A:

Q: I. Write T if the given statement is true with respect to the underlined term(s); otherwise, write…

A: (6) Let A = { x ∈ R |  x2 = 64}, then  |P(A)| = 16 False A = {-8,8}, then |A| = 2 So, |P(A)| = 22 =…

Q: Determine which of the following statements is true about the tableau shown below. BV P x1 X2 S1 S2…

A: We have to find the correct choice.

Q: Given a differential equation x³y3) – 6xy' + 12y = 0 Suppose we have r,r2, . , rn, Find the distinct…

A:

Q: I. Show that the function f defined by 1, (x, y) = (1, –1) %3D f(r, y) = { 1² + y (x, y) # (1, –1) x…

A:

Q: Given the 1st Order Ordinary Differential Equation and a corresponding Initial Value Condition: e*…

A: Solution: Given the equation, exy'=y2 , y0=1where, 0≤x≤0.5 and h=0.05 now, y'=y2ex⇒dydx=y2ex…

Q: 1. Find the greatest number which divides 64 and 80 completely. 2. Find the least number which when…

A:

Q: 1. If the statement "for some x, P(x)" is false, then the statement "for every x, P(x)" is false. 2.…

A: This is a problem of Logic.

Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 16 + x -…

A:

Q: True/False along with reasons and explanations - A is an nxn matrix that has no inverse, so the only…

A:

Q: Determine whether the series are convergent or divergent. Justify your answer

A: Dear Bartleby student, according to our guidelines we can answer only three subparts, or first…

Q: B. Switch the order of integration: cos (x2) dædy. Just SET UP with the order switched. DO NOT…

A:

Q: Sketch the graph of f(x) = 2Vx + Vx*.

A: Graph of f(x) :

Q: (b) Shade the region in the complex plane defined by z+1+i 2-1-5i

A: Solution:-

Q: 4.A.3. Given any two real numbers, there is a real numbers in between. b. For any two such that a…

A:

Q: Exercise 4: For V = R³, define U = a +b+c= 0 }W = a - b+ 2c = 0 1. Find bases for U, W 2. Find a…

A:

Q: 4) Order of approximation for numerical integration methods Let f(x) = x?e-. Using u-substitution,…

A:

Q: Determine the radius of convergence of the series 1 + x/2 + x2/3 + x3/4 +..

A:

Q: Allora has 264 feet of fence, a spacious yard, and a little dog. He wants to set up a rectangular…

A: Rectangle: It is a two dimensional shape with four sides and four vertices. Any two adjacent sides…