z = 24245°, zą = 52e2i, z3 = 10 – 11.5i %3D %3D 6. Z1 – 22 – Z3

Q: Deduce from the orbit equation (1 + e)r 1 + e cos 0 that a planet is closest to its sun when 0 = 0…

A: Here,  r=(1+e)r01+ecosθ differentiate with respect to θ

Q: Find the Cartesian equation of the curve: [2r/r2 = 1+ cos a]

A:

Q: c) Find the equation of the parabolic path by eliminating the parameter. 4.9 (tan(a) )x – -…

A:

Q: Eliminate the parameter to find the Cartesian format, then sketch the graph: а. x = cost y = cos² t…

A:

Q: Q4) find the soluation of differention equation using exact equation 1) (1 + x²)dy+(2xydx)=0

A: I am attaching image so that you understand each and every step.

Q: Suppose an object moves in an elliptical orbit parametrized byx = 4 cos t and y = 7 sin t, where t ≥…

A:

Q: Suppose the reactance is 183 and the resistance is 220. Find the impedance and the phase angle

A:

Q: Line integrals Evaluate the following line integral using a method of your choice.

A: We will use Green's Theorem to evaluate the integral , according to which we have

Q: 2dt 15. J (E+3)vE +6t-7 arcsec(+c d. arcsin(+c a. 2 Invt2 + 6t -7 +c c. t+3. b. 2 (t2+6t-7)/2 +c 1/2

A:

Q: A ball is thrown at an initial height of 65 feet at an initial velocity of 75 feet/second at an…

A: Note: There are multiple sub questions. No specific question has been asked. So, We will solve the…

Q: I woite whose graph is the given sine wave equation of the from y= Acos (X-c)+D an

A: Given:

Q: Question 5 Solve for the x-component (in cm) of the centroid if that a=98.7cm, b=78.9cm, and…

A: From the given information we find the area of the shaded.

Q: • Graph the cardioid r a(1 + cose), a <0? • Graph the cardioid r = a(1+ sin6), a < 0? Graph the…

A: Graph are given below:

Q: Determine whether the equation is exact. If it is exact, find the solution. (e'siny + 3y)dx -…

A:

Q: Determine whether the equation is exact. If it is exact, find the solution. (e*siny + 4y)dx - (4x -…

A:

Q: A slime mold grows in a spiral pattern with polar radius r=θ3r=θ3. If the mold grows by continuing…

A:

Q: 35. Calculate || 9x*+4y* dx dy, where D is the interior of the ellipse (G) + (4)' =

A: Given:

Q: Calculate , e6x*+9y dx dy, where D is the interior of the ellipse () + ()< <1. (Use symbolic…

A: According to the given information, it is required to calculate the given integral.

Q: Find a Cartesian equation of the curves. 1) r= 2 sin 0 2) r = 5 csc e

A: 1) r=2sinθ2) r=5cosecθwe have to convert these curves into cartesian equations

Q: -dz , where y is given in the figure z2+1

A:

Q: See the circular helix with equation D(t)= (-15 cost,15 sin t,8t). 1. Look for the value of t such…

A:

Q: baunded by y= e y=1, X=2a ŷ rotate about =a

A:

Q: Q1: (B): sketch the following waveform in(degree, radian, and time) abscissa 10sin (377t +30°)

A:

Q: ds?--dt? 2tet dx dz +t2" dx? Calculate the tetrad components 7

A: Solu

Q: The following figure shows a single-stage gear train. Gear trains are used in many products, such as…

A:

Q: snip

A: To transform the equation Ax2+Bxy+Cy2+Dx+Ey+F=0,  B≠0 into one in x'and y' without an x'y'- term,…

Q: 4. A horse on a merry go round is 7 m from the center and travels at 1Okm/hr. What is its angular…

A: Let's find.

Q: 13. dy/dx = 2x, У (0) 3D —1

A: Solution: dy/dx =2x  ,    y(0)=-1

Q: Assume the center of the motion is the origin, the motion is counterclockwise and that t = 0…

A: This is basic equation of motion problem

Q: 些。x? dx z + 6 -4 y %3D хе ? dx4 with YLoI = 5,y'col =1, 9°co) --2 yiol e 007

A:

Q: Question 2: Calculate the coordinates of the centroid for composite shape given. 5cm 3cm r=2cm (0,0)…

A: The centroid of a right triangle is at h3,b3 with respect to the vertex with the right angle. Here,…

Q: + (1—п)P(х)и %3D (1 — п)Q("). dx Use an appropriate substitution to solve the equation 6 -y = æ14

A: Introduction: The solution to the differential equation of the form y'+p(x)y=q(x) is given by,…

Q: Pपा+ with a focus at co,-1) 'and directrix y=l

A: Vertex will be the midpoint of y=1 and (0,-1)  That is (0,0) So, (h,k)=(0,0)

Q: ,2 4 +(dx dt 2 dt ....

A:

Q: Consider the parametric equations x sin 2t and y -4+c ost. which of the following dy7 represents 2…

A: We are given that x=sin 2t y=4+cos tWe need to find dydx

Q: Calculate , ešlx²+9y dx dy, where Dis the interior of the ellipse () + (5)´ < 1. (Use symbolic…

A:

Q: Radiation is focused to an unhealthy area in a patient’s body using a semielliptic reflector,…

A: The width of the reflector is 100 cm. The height of the reflector is 30 cm.

Q: 2y )dx - (x +3 cos y)dy around the parallelogram havi - 6

A:

Q: Given the velocity and initial position of a body moving along a coordinate line at time t, find the…

A: The velocity of a body at time t is given as: vt=9π2cos3π2t On integrating v(t) with respect to t we…

Q: The x and y coordinates of particle P, executing simple harmonic motion, are [x = A cos wt, y = A…

A: Given statement is "The x and y coordinates of particle P executing simple harmonic motion, are…

Q: y dx — (х + бу?) dy %3D 0

A: Exact differential equation: The equation P (x,y) dx + Q (x,y) dy = 0 is an exact differential…

Q: dy %3D dx = (9x + 4y + 1)?

A: The given equation is, dydx=9x+4y+12                     .........1 Let 9x+4y+1=v…

Q: The River debit on the 1st of every month for a year. Month Jan Feb Mar April May June July August…

A: The regression is a technique used to fit a dataset into an equation. A graphing utility can be used…

Q: Graph the parametric equations below (x(t) = 3 cost + cos 3t ly(t) = 3 sint - sin 3t

A: To graph the parametric equations.

Q: Question # 4.7 43 Find the valve of (I+J3 243

A:

Q: Find the length of the curve: r = /1+ cos(20),0ses 2n

A: The length of the curve is given by the formula ∫abr2+drdθ2dθ  ,       where a≤θ≤b

Q: Given Legendres Equation (1 – a²)y/" – 2xy/ + 6y = 0 and y(0) = -0.5 and = 0 at x=0 find the value…

A: Hi! You have posted multiple questions. As per norms, we will be solving only one question. We will…

Q: A ball is thrown at an initial height of 50 feet at an initial velocity of 65 feet/second at an…

A:

Q: Find the Product solutions of 2) du du - I dy dx +

A:

Q: TT Find I = J? = Jó COs X dx 2 With trapezoidal method and n = 4

A: The integration can be approximated using the trapezoidal rule. The formula for the trapezoidal rule…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.