Eliminate the parameter t from the following. x = 4 sin t, y = 4 cos(t) Sketch the graph of the plane curve

Q: Find the angle (in radians) between the line with equation T(t) = +t and the line with equation…

A: The given two lines are  r→(t)=<-2, - 5, - 8> +t <2, - 8, 8> r→(t)= <1, 3, - 4> +…

Q: 3. Find the cartesian equation of r cos 0 = -4 and identify its graph.

A: To find the Cartesian equation of rcosθ=-4 and identify its graph. Solution: In Cartesian…

Q: 3. Trace the curve: r = 2+3 cos 0.

A: Given that we need to trace the curve  r = 2 + 3 cos theta  Now,

Q: C3)) sketch their graphs 65. y= 2 Sin ( X+TT)-1

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Q: 4. Convert to rectangular coordinates and sketch the curve x = 4 sec 0 y = 3 tan 0

A: Here we convert parametric equation in rectangular equation. And then we draw the graph.

Q: Q3 Check the symmetry and graph the curve in polar form if 0 = 0 and equal 1/6 to 1/2 at increments…

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Q: Find a rectangular equation for the following curve and describe the curve. Do not use a calculator.…

A: Given parametric curve x=6cos²(t) ...........(1) y=6sin²(t) ............(2) t in [0,π/2]

Q: Find the second derivative in terms of t for the parametric equations below- x=t² -t+2 y =t -3t

A: Given that, the parametric equations are x=t2-t+2 and y=t3-3t Find the first derivative in terms of…

Q: find the length of the part of the r=2(1+ cosa) curve that remaîns în the r =211+ Sind) curve %3D…

A: We have to find the length of the part of the r = 2(1+cos alpha) curve that remains in the r =…

Q: 3. The equation that best represents the graph shown below is 4 -2 A. y = 4 sin(2x)+2 В. y =-4…

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Q: Eliminate the parameter for the given parametric equations to write an equation in the form of y=…

A: Given x=ln t and y=et

Q: Sketches of y=sinx,y=cos× and y=tanx on separate sets of axes if xe(0°;360°)

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Q: 13. Rewrite the given function in terms of its cofunction. a. sec 58° b. tan TT - 5

A: Please see the below.

Q: 22. A hunter is attempting to hit a target 50 feet away. He determines the angle above hori- zontal…

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Q: What are the properties of y = cosθ and y = sinθ

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Q: Trigonometry Question

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Vector Arithmetic

Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magnitude means the length or the size of an object. The notation used is the arrow over the head of the vector indicating its direction.

Vector Calculus

Vector calculus is an important branch of mathematics and it relates two important branches of mathematics namely vector and calculus.