What is the equation of the vertical asymptote of the graph of f(t) = tan (3(t+2T/3)) on the interval [0,T/3]? А. t = TT/3 В. t = 3TT С. t = TT/6 t = 2TT/3 D.

Q: 58. Find an equation (in y = mx + b form) of the tangent line to the graph of f(x) = x3 - 2x + 1 a)…

A: Note:- Since you have asked multiple questions in a single request, as per the policy, only the…

Q: Find the equation of the line tangent to the graph of f(x) = -3 cos (x) at x 2

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Q: Show that y = tanh x is an odd function.

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Q: The slope of the tangent line to the graph of f(x) D x2 at a = -1 is: %3D %3D

A: Given  equation of the graph  f(x) = xx2-x                        ...........(1) We have to find the…

Q: FIND THE LENGTH OF THE CURVE y = In sec X from X = 0 to X = - 4

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A: Given:   fx=x2-x-1 in 1,2

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Q: Find an equation for the line tangent to the graph of 2x f(x) %3D x + 4 at the point (2,…

A: The standard form of the tangent helps to find the required equation. The standard form of the…

Q: Find the point on the curve y = x-11x+5 at which the tangent has the equati on y = x - 11.

A: We will find the  point on the curve at which the equation of tangent is given as following.

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Q: If tanh x = 12/13  find the values of the other hyperbolic functions at x

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Q: he line tangent to the graph of y=In(3x)+ 2x e at x =1 6

A: Equation of line is given as   y-y0 = dydxat x=1*(x-x0) Given,x0 = 1y = ln(3x) + e2x6y0 = ln(3x0)…

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A: Given : Function  f(x) = x3 – x2 + 3x – 5 Tangent equation on the given function f(x) at point x =…

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A: The given relation is,  tanθ=yx. Here, x, y, and θ are functions of t. The objective is to find the…

Q: For what values of x in [0,2pi] does the graph of f(x)= x + 2sin(x) have a horizontal tangent?

A: Horizontal tangent:The slope of a tangent of the graph of a function f (x) is df (x) ∕dx. For a…

Q: Find the arc length of the graph of the function f(x) = 2√³ from * = 2 to x = 6.

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Q: Determine the equation of the tangent line to the graph of 3sin y – In(e secha) = tan- (x²y) + 3 at…

A: Given  : 3siny - ln(e sechx) = tan-1(x²y) + x/3

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Q: For the curve: f(x)=√x-5 the equation of the tangent line when x=9 is Oy--(x+1) Oy--1(x-1) y= Oy- (x…

A: This question can be solved using the concept of tangent and normal.

Q: y = -V16 – x², — х2, -4 < x < 0.

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Q: 6. The tangent to the function f(x) = ke2x at x = has slope 2e. Find the value of k.

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Q: 7) Find the tangent line to the graph of f (x) = 3 – 4e * at x =0.

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Q: 4 Let f(x) = 4x + x2 given by y = mx + b for . Then the equation of the tangent line to the graph of…

A: We know that if m is slope and (x1,y1) is point on line the equation of line is given as-  (y - y1 )…

Q: Give the equation of the tangent line to the graph of 3sin y – In(e sech r) = tan-'(x²y) + 3 at the…

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other…

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Q: Find the slope of the tangent line to the graph r=2sin(0) at the point V3, 3 11.

A: We have to find

Q: Find the point (x,y), at which the graph of y = 8x+6x-3 has a horizontal tanger The function y= 8x…

A: Our Aim is to find the point (x,y) at which the graph of y=8x2+6x-3-(i)has a horizontal tangent.

Q: Find the absolute extrema of the function on the closed interval.

A: The given function is y=tanπx8    on  0, 2. Compute the critical points as follows.…

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A: For horizontal tangent,first derivative must be zero

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Q: use taylors formula to find the cubic approximation to f(x,y)=sin(6x+y) near the origin

A: Given Function,fx, y = sin 6x + y

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A: The point of inflection is the point where the second order derivative of the function becomes zero.…

Q: Find the asymptotes of the hyperbolic tangentf(x)=tanhx.

A: We first simplify tanh(x)

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Q: 4- Find the question of the that is tangent to the curve y=-3 cos2x at x= π/6. Express with exact…

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Q: The slope of the tangent line to the curve tanly) y- 2 at x-0is Oa 2 O b.-2 Oc-1 O d. 1

A: Given problem is : Definition :

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Q: Find the arc length of the graph of the function f(x)=5√x3 from x=3 to x=7.

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Q: Does the graph of the function y = tan x - x have any horizontal tangents in the interval 0 sx <2n?…

A: We get the slope y' of the tangent to the function y=tan x-x by differentiating it with respect to…

Q: 3. Find Hhe to the (1,2) slope of the tangent live r=2-sin@ at the point curve

A: Then we plug this in the slope formula of the polar curve

Q: 8. Find the tangent to the Witch of Agnesi, f(x) = at the point (2, 1) x²+4

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Q: How many periods of the function y = sec x are there between = and 3T -

A: Given: So, from the figure, it can be observed that only one period of y=sec x is there between -π2…

Q: The graph of f(x)=((x+4)^3)/12)+((1)/(x+4)) on the interval[3,6] has arc length of

A: given graph is                                                 f(x)=(x+4)312+1x+4 we have to find…

Q: The slope of the tangent line to the graph of the function y = 8/T- 4 at (16, 28) is O 4 O -1.75 O…

A: Slope : It is the Differentiation of y with respect to x at a given point.

Q: Q1) A) Find the tangent equation for the function: f(x) = Vx2 + 5 at =2 ? %3D B) Find the limits by…

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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.