Given the parametric equations below, eliminate the parameter t to obtain an equation for y as a function of x Sa(t) = 7VE y(t) = 2t + 6 v(z) = %3D

Q: Use the parametric equations x= sec(t) , y=tan(t), for -pi/2 < t < pi/2. Sketch the curve…

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Q: find the parametric equations for the line segment from (-2,5) to (7,-1) your equation for x should…

A: Definition used -             Parametric equation of a line-             Parametric equation of…

Q: x=sec(t) y=tan(t) t E[0,pi] a) Identitfy the (x,y) coordinates of the point corresponding to the…

A: To determine the coordinates of the point.

Q: Determine the parametric equation for a line that is tangent (intersection) of the two fields below:…

A: We have to find out parametric equation for a line that is tangent (intersection)of the two fields…

Q: Find the parametric equation for the line tangent to the r(t)=sinti+(t2-cost)j+etk curve t=0 at the…

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Q: Find the slope and concavity of the parametric curve at the point t = (1/2), x(t) = (1/2)t² -1,…

A: To find the slope of the curve at t = 1/2, we need to find the derivative of y with respect to x:…

Q: Using this parametric equation: r(t) = Can you please help me find |r'(t)|

A: Consider the given and Differentiate w.r.t. "t".

Q: The diagram shows part of the curve with parametric equations x = 2 In(r+ 2), y =+21 + 3. (1) Find…

A: The gradient of any curve y is given by its derivative dydx. The given parametric equations of the…

Q: What is the slope at t = −2 ?

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Q: Find the distance between the skew lines with parametric equations x = 3 + t, y = 1 + 6t, z = 2t,…

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

Q: Consider the curve described by the parametric equations ¤ = t² +4 and y = 3t + 4t. Determine the…

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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.