Use calculus to determine the exact y-coordinate of the highest points on the curve r = sin(20). y-coordinate of highest point:

Q: Find the equation of the tangent line to the curve y = 2 sin æ at the point (, 1). The equation of…

A: Let (?/6 , 1) =(x1 , y1)  Using the slope - intercept formula : ( y - y1) = m( x - x1 ) or y =mx +b

Q: . Find all points on the curve y - tan x, -/2 <x< /2, where the tangent line is parallel to the line…

A: Consider the curve  y=tanx                    −π2&lt;x&lt;π2 Equation of line  y=2x

Q: A.) Use implicit differentiation to find an equation of the tangent line to the ellipse + at point…

A: A.givenx22+y28=1diffrentiatex+yy'4=0at (1,2)1+2y'4=0y'=-2therfore equation of tangent line at…

Q: use implicit differentiation to find an equation of the tangent line to the ellipse at the given…

A: Using implicit differentiation you can find the derivative without separating the dependent variable…

Q: Find all values of the parameter p for which the line y = 2x - 3 is tangent to the graph of y = pr²…

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Q: Find the equation of the tangent line to the curve y 42 cos z at the point (, The equation of this…

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Q: Find an equation for the tangent to the curve at the given point. Then sketch the cur and tangent…

A: Slope of the tangent line is the derivative of the given curve at the given point. So…

Q: Find the equation of the tangent line to y = 2ex at x = 7.  (Enter your answer as an equation using…

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Q: %3D Find the equation of the tangent line to the curve y = 8 sin a at the point (,

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Q: Use a graph to estimate the y-coordinate of the highest points on the curve r = sin(20). Then use…

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Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

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Q: find an equation for the tangent to the curve at thegiven point. Then sketch the curve and tangent…

A: Given that, y=1x2

Q: A) Find in terms of x and y dx B) Write the equation for the tangent line where x = 2 and y = 1.

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Q: Find the exact length of the curve. y = Vx - x2 + sin

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Q: Find the linearizations of    a. tan x at x = -pai/4  b. sec x at x = -pai/4. Graph the curves and…

A: Linearization of a function f(x) at a point a is defined by

Q: Find an equation of the tangent line to the curve y' = z'(3– z) (a piriform) at the point (2, -2/2).…

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Q: Find the equation of the tangent line to the curve y = 8 sin x at the point (, 4). The equation of…

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Q: Find the equation of the tangent line to the curve y = 2x cos x at the point (₂ The equation of this…

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Q: (). Find the equation of the tangent line to the curve y = 5 tan x at the point The equation of this…

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Q: Find the equation of the tangent line to the curve y = 6 sin z at the point (, 3). The equation of…

A: The given equation of curve: y=6 sin x

Q: When a<0, describe the curve of y=a sin(x), starting at the origin.

A: We have to describe the curve of y= asin(x)  For a&lt;0

Q: find the equation of the tangent

A: Given: The curve x=t2+t and y=t2-t To find: The equation of tangent line at t=-1

Q: Find the equation of the tangent line to the curve y 3x cos x at the point (T, -37). || The equation…

A: Formula for finding the equation of a line having a slope of m and passing through the point (x1,y1)…

Q: Q8- Find an equation for the tangent to the curve at the given point. Then sketch the curve and…

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Q: Use implicit differentiation to find an equation of the tangent line to the ellipse defined by x?…

A: Equation of tangent at any point  (X0, Y0) of slope 'm' is (Y-Y0) = m(X-X0)

Q: 1) Write the tangent equation to the curve x? + 2xy - y² + x = 2, , at x = 1.

A: As per guidelines we have to solve one question Please repost other question again

Q: find the inflection point to the right of y-axis of the curve defined by the equation, y=x^2/2 +…

A: Given problem :- find the inflection point to the right of y-axis of the curve defined by the…

Q: Use a graph to estimate the -coordinate of the highest points on the curve r  =sin 2 θ. Then use…

A: Given: Finding the values of r for different θ  values, and tabulated as shown below,

Q: Form the diffrential equation representing the family of curves y = a sinx (x + b) where a,b are…

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Q: Find the equation of the tangent line to the curve y 8 sin r at the point The equation of this…

A: Given query is to find the equation of tangent line. Since slope of  tangent is given by derivative…

Q: y=x^2+5  Determine at which point, (x,y), in which the graph has a horizontal tangent line.

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Q: Find an equation of the tangent line to the curve defined parametrically by x =? -t and y =t- 32 + 9…

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Q: Find the equation of the tangent line to the curve y = 6 sin e at the point (, 3). The equation of…

A: Equation of the tangent line

Q: equation of the tangent line to the curve at the point  ( a , b ) . x2 − xy − y2 = 9     (hyperbola)…

A: Given query is to find the equation of tangent at (a,b).

Q: Find the equation of the tangent line to the curve y 6x cos r at the point (T, - 67). The equation…

A: As we know that, The slope of the tangent line to the given curve is equal to the derivative of the…

Q: (x^)- У 3Vх — х2 + sin

A: The given function is: y=x-x2+sin-1x The domain of the given function is: x∈[0, 1]

Q: At a given point, find the slope of the curve, the line that is tangent to the curve, or the lien…

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Q: Find the equation of the tangent line to the curve y = 6 sin x at the point (, 3). The equation of…

A: To find the equation of the tangent line to the curve, y=6 sin x, at the point π6, 3.The equation of…

Q: Find the equation of the tangent line to the curve y =6 sin z at the point The equation of this…

A: Use differentiation for finding the slope. And equation of tangent line.

Q: Find the exact length of the curve. y = √(x - x2) + Sin-1 √x

A: Given curve is y=x-x2+sin-1x.

Q: Find the equation of the tangent line to the curve y = 4sin z at the point The equation of this…

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Q: Find an equation for the tangent line to the parabola y x*at the point P(1, 1). %3D

A: Given,            The parabola is y=x2 and the point is P1,1.We know that,            The equation…

Q: Find the equation of the tangent line to the curve y 6x cos x at the point (π, = The equation of…

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Q: Use implicit differentiation to find an equation of thetangent line to the curve at the given point.

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Q: Sketch the curve f(x,y) = c together with Vf and the tangent line at the given point. Then write an…

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Q: Find the equation of the tangent line to the curve y = 8 sin x at the point (, 4). The equation of…

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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.