Suppose that a ship travels from the south pole to the north pole keeping a fixed angle to all meridians. Then the path traveled is described by the parametric equations cos t sin t V1 +q²t² at V1+a²t²°

Q: A parametric equation is given by x= 3t 3t2 (Note that the y = 1+t3' 1+t3 denominator approaches 0…

A:

Q: Q2/ Find the equation of the plane through the point (2, 4, 5) perpendicular to the line: X-5+t,…

A:

Q: A particle of (mass= 4 g, charge%3D 80 mC) moves in a region of space where the electric field is…

A: Motion: When an object changes its position with respect to time it is referred as motion. Equations…

Q: Show that F(x, y, z) = xy + xz + yz has the value 1 if and only if at least two of the variables x,…

A: if x =1 and y=1 then F(x,y,z) = 1.1+1.z+1.z = 1 if x = 1 and z =1 then F(x,y,z)=1.y+1.1+y.1=1 if y=1…

Q: Find the equation of the plane through the point (2, 4, 5) perpendicular to the line: X-5+t, y=1+3t,…

A: Actually, given , y=1+3t, z= 0+4t.

Q: Given that U = IR¯,A = (-3, – 1] and B = [-4, –2), find each of the following: а) AnB b) AUB c) B\A…

A: a) let the given Sets

Q: A beam AB is subjected to several vertical forces as shown. Write a computer program that can be…

A: Actually, program is an executable software that runs on a computer.

Q: 7) A bob attached to a cord is moved to the right where its vertical position is 1.05 cm above the…

A: A bob attached to a cord is moved to the right where its vertical position is 1.05 cm above the…

Q: 6. A parametric equation is given by x=1.5 sin (5t), y-1.5 cos (3t), Plot the function for 0StS 2x.…

A: Solution of the given equation is

Q: A simple pendulum of length L, has a maximum angular displacement e_max. At one point in its motion,…

A:

Q: Solve the following system of equations using \, compute and display the error vector (x=A\b is the…

A: Given system of equations, 3a + 6b + 4c = 1 a + 5b = 2 7b +7c =3 Matrix form of system of…

Q: Plot the graph of the given trigonometric function, f(t) = sin°(t) - cos²(t) + 2*t*sin(t). %3D…

A: Write a MATLAB program to plot the graph of the given trigonometric function, f(t) = sin3(t) -…

Q: Plot the graph of the given trigonometric function, f(t) = sin (t) - cos²(t) + 2*t*sin(t). %3D…

A: Algorithm :  Step 1 : store the values of t from 0 to 2 * pi with step size 0.01 in a vector named…

Q: The electric flux density D at the point M (0,4,0) in the region about a uniform line charge of 1…

A:

Q: pordinates by: r(t) = 20 + 30(1 - -0.1r) meters e(t) = 1(1 – e-0.2t) Plot the trajectory (position)…

A: MATLAB code: % Defining the function of theta(t) theta = @(t) pi * (1 - exp(-0.2 * t)); % Defining…

Q: Sketch the graph of the surface defined by the parametric equations (6) y = 2 |-1+e"/(6#) sin u cos²…

A: Requirement : Solution : please see the matlab code below with output

Q: Q3: The volume V and surface area A of a sphere of radius 25 degree r are given by V = n r³. and A =…

A: Q3. A - The volume and surface area of a sphere is given by Where r is the radius of the sphere.

Q: Suppose you are driving a car at 80 miles per hour. Again decelerating at 16 feet per second…

A: Note:the solution to above question is mentioned below Hope it helps to with the solution

Q: Sketch the graph of the surface defined by the parametric equations I = 2 |1 cos u cos? ( y = 2 u…

A: Given three parametric equations and we have to sketch the graph defined by them under the given…

Q: A window is in the form of an equilateral triangle surmounted on a rectangle. The rectangle is of…

A: we need to find the dimensions of the window that will admit the most light when the entire window…

Q: Suppose that a ship travels from the south pole to the north pole keeping a fixed angle to all…

A: Read the value of α. Find the value of x, y and z. Print the result. Exit.

Q: Suppose that z is inversely proportional to y, and that z = 12 when y =16. Write an equation that…

A: Given: z is inversely proportional to y z = 12 y =16. Find: Write an equation that expresses z in…

Q: The volume of a cone is given as 210 m3, then the volume of a cylinder with the same base and same…

A: Here in this question we have given  cone volume and with same data we have to find the volume of…

Q: Suppose you are driving a car at 80 miles per hour. Again decelerating at 16 feet per second…

A: Note: The solution to above question is discussed below:Hope it helps you with the solution:

Q: A simple pendulum is formed of a rope of lengthL= 2.2 m and a bob of mass m. When the pendulum makes…

A:

Q: L. Compute the surface area of a cylinder, when its height and diameter is given. A= 2πr2+ 2πrh

A: NOTE - Here I have done part L using python. I have first of all taken input from the user for the…

Q: A parametric equation is given by ? = 1.5 sin(5?) , ? = 1.5 cos(3?). Plot the function for 0 ≤ t ≤…

A: The plot is given below:-

Q: Cylindrical Coordinates System Given the Field E=3a,-4ay+5az, F=(x²-y²)a, at point D(p=3,0=45°,z=4).…

A: the answer is as follows.

Q: A wave has an amplitude of 0.4m, a speed of 16m/s, and frequency of 4.0Hz. Draw the wave below.…

A: Hello Student. Greetings from my side. Hope you are doing great. I will try my best to answer your…

Q: The velocity of a car is v =t^2 – 3t Find the displacement for 1<t<5 am the acceleration at t=1.5.…

A: We need to create the vector of time in the range of 1 to 5 and then we need to compute the velocity…

Q: 2. The flow of traffic is shown in the figure. Solve the system of equation for the given variables.…

A:

Q: a) Find a vector G whose magnitude is 3 and whose direction is perpendicular to both vectors E and…

A: We need to find the vector G whose magnitude is 3 and whose direction is perpendicular to both…

Q: 13. Given two sine waves A and B, if the frequency of A is twice that of B, then the period of B is…

A: To be determine: Given two sine waves A and B, if the frequency of A is twice that of B, then the…

Q: 13. Given two sine waves A and B, if the frequency of A is twice that of B, then the period of B is…

A: Given there are two sine waves A and B, we need to find the period of B if the frequency of A is…

Q: Example 49 Let f(x)= sin23 x – cos2" x and g(x)= 1+ tan |x |. 22 %3D Then, the number of values of x…

A: Solution :

Q: Q12. If L = {ɛ, 00, 01, 10, 11, 000,..., 111,..}, find L over the alphabet {0, 1}.

A: The Answer is

Q: Find from the following table the area bounded by the curve y = f(x) and the x axis from x = 7.47 to…

A: Area=∫7.477.52fxdx

Q: The equation of a line in the plane is ax + by + c = 0. Given two points on the plane, show how to…

A: According to the guidelines i can answer only first part :

Q: Two parametric equations are given by: x - cos' (1), y- sin (t) u- sin(t) v - cos(t) In one figure,…

A: Solution The code and the output is given CODE: &gt;&gt; t=[0:0.05:2*pi]; &gt;&gt;x=cos(3*t);…

Q: Suppose that a parachutist with linear drag (m=50 kg, c=12.5kg/s) jumps from an airplane flying at…

A:

Q: Ordinary differential equations are classified as to their .. magnitude value order number of…

A: Answer :-- Order

Q: whether a point A having coordinates (xA, yA) is inside, on the boarder, or outside a square…

A: Input : 4 lines are given by their equations: 1. x= x1  2. x = x2 3. y=y1 4. y=y2 The square formed…

Q: a) Find the points where P(x) cuts the x-axis. It is given that P(x) = 30x5 - 166x* - 542x3 + 2838x?…

A: Here is the explanation of solution.

Q: QI/ Prove that (X + Y) O (X + Z) = X' (Y O Z).

A: + represents OR and it will result in 1 if any of inputs is 1 . represents AND and it will result in…

Q: x+3 Find the asymptotes of the following curve: y = x+2

A: Given curve: y=x+3x+2 Solution: Vertical asymptotes occur as the denominator of a rational function…

Q: Rocket sleds were used to test aircraft and its effects on human subjects at high speeds. It is…

A: We start with Newton’s second law and look for ways to find the thrust T of the engines. Because all…

Q: Calculate the time taken and the velocity for an object to fall freely from a height to the ground.…

A: The input will be height and the output will be time and velocity where time is displayed using 2…

Q: a) depends on x.

A: in best case: O(1) in average case : O(log2n) in worst case : O(n)

Q: A 3,000-kg jet plane lifts off from an aircraft carrier with the assistance of a steam catapult,…

A: Hello, This question required one more value to be solved. Whether it is final velocity or time…

Q: Write MATLAB code to plot the curve y = 2*x3 + cos (x) . Given x = 0:0.01:1.

A: Algorithm :  Step 1 : create the vector x from 0 to 1 with step size 0.1. Step 2 : find y according…