Draw a graph of y = sin(x) and plot the point (3, 3), which is not on the curve. Find the point(s) on the curve y = sin(x) that is closest to (3, 3).

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A:

Q: Find an equation for the line tangent to the graph of y=tan-1(x) at the point (1,π/4).

A: Given information:

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 of the tangent line to the graph of the function at the given point.

A: y=tan-1x2 , 2,π4

Q: Find an equation of the line tangent to the graph of f at the given point.

A: Find an equation of the line tangent to the graph of f at the given point. f(x)=sin-1(x/4), (2,π/6)…

Q: 8. Find the equation of the line tangent to the graph of y tan (sin) when z= V2/2.

A:

Q: Find an equation of the line tangent to the curve tan¹(y) = (x+y)e at the point (0,0). tan ¹(xy) =…

A:

Q: d). Find an equation of the tangent line to the graph of sin(x+ y)= y´ cos x at () and graph this…

A: Given that: sinx+y=y2cosx   at   π2,π2 To calculate the slope of tangent line,…

Q: Find the equation of the tangent lines to the curve y = sin x at x = -1, A, and Graph the curve over…

A: We have to find the derivative of the function first.

Q: A curve is defined by y=(1/3)sin(2x+1). Evaluate the angle between the tangent to the curve at x=2,…

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Q: Find the equation of the tangent line to the curve y = 8 sin z at the point 4). (중· %3D The equation…

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Q: Find an equation of the tangent line to the graph of the function y=2 arcsinx, at the given point,…

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Q: find the equation of the tangent line, in standard form, to the curve y=sin2x-cos2x at the point…

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

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Q: 1- Find the equation of the tangent to the curve y = 2 sin x+ cos 2x at the point. x = N.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: (B): Find the tangent equation to the curve y = sin² x at point x = 7.

A: I have stated the used formulas in the solution

Q: Find an equation of the tangent line to the graph of the function at the given point.

A: Solution; Consider the given function is: y = 2arcsin x And the point is: 12, π3 Now,…

Q: Plot the astroid x = cos3 θ, y = sin3 θ and find the equation of the tangent line at θ = π/3 .

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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 slope of the tangent line for the curve r = - 6 – 5 cos 0 when 0 2

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Q: Find the slope of the line tangent to the graph of y = cos 3xat x = 13π/6.

A: The slope (m)  of the line tangent to the graph y=f(x) at point (x1,y1) is given by:

Q: (B): Find the tangent equation to the curve y = sin² x at point x = = 33.

A: The curve y=sin2x at point x=π3

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 2 arcsin…

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Q: Find an equation of the tangent line to the curve y = at the point (1,). 8 + Vx Confirm this tangent…

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Q: What is the equation of the line tangent to the curve e'+cos(x) =1 at the point

A: On solving this we will get

Q: Find the lengths of the curves y = sin -1x - √(1 - x2), 0≤ x ≤ 3/4

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Q: (플아 What is the equation of the line tangent to the curve e + cos(x) = 1 at the point ,0?

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Q: Find the equation of the tangent line to the curve 10 y =- -3 tan(10z) + 7 cos(4x) at z = 0 The…

A: We have to find

Q: Find the equation of the line that is tangent to the curve y = 4x cos x at the point (7, –4t). The…

A: we have to find the equation of tangent

Q: (B): Find the tangent equation to the curve y = sin² x at point x F.

A: We can find the tangent equation at the given point as below.

Q: Find an equation of the tangent to the curve at the given point. x = cos(t) + cos(2t), y = sin(t) +…

A: Given : The equation of the curve is  x=cost+cos2t y=sint+sin2t To Find : Find the equation of the…

Q: Find the equation of the tangent line to the curve y = 4x cos a at the point (7, – 47). The equation…

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Q: At the given point, find the line that is normal to the curve at the given point. 5x y-n cos y = 6n,…

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Q: Graph= ysinx between -2π and 2π, and then reflect the graph about the line y=x to obtain the graph…

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Q: please help me with this

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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: Find the equation of the tangent line to the curve y = 4sec z – 8 cos z at the point 4). The…

A: We can sole this as follows:

Q: Use the guidelines of this section to sketch the curve   y =sin x /( 2 + cos x )

A: Given: y=sinx2+cosx graph of given function can be drawn as below

Q: Find the slope of the line tangent to the graph of y = tan-1 x at x = -2.

A: Given: y=tan-1x at x=-2

Q: find y' and find the slope of the line tangent to the graph of y = sin-1(x/4) at x = 2.

A: Here in this question we need to find out the slope of the line tangent to the curve y = sin-1(x4)…

Q: Find the equation of the tangent line to the curve y = 4x coS T at the point (7, - 47). The equation…

A:

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: 1- Find the equation of the tangent to the curve y = 2 sinx + cos2x at the point x = n.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the equation of the line tangent to the graph of f at the indicated x value. y = 6 sin- 3x, x =…

A:

Q: The equation of the tangent line to the graph of y = sin(x) at the point P( ,1).

A:

Q: Use the guidelines of this section to sketch the curve   y =sin x /( 1 + cos x )

A: Consider the curves: y=sinx1+cosx

Q: Find the slope of the curver=-6+6 cos 0 at the points 0= + Sketch the curve along with the tangents…

A: Solution: Consider the given polar curve : r = -6 + 6 cos θ Differentiating with respect to θ drdθ =…

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

A: Given curve is y=x-x2+sin-1x.

Q: The f '(x) of the given curve is equal to -4 y = sin 3x ||

A:

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.