5-Find the avea between the curve y= tann the n-anis and from n=-1/4

Q: 1) Find an equation of the tangent line to the curve at (1,1). y = cos (In x²) %D

A: Given. Curve is  Y = cos(ln X²) We need to find the equation of the line which is tangent to the…

Q: 4. Determine the equation of the tangent line at the indicated point a) y = cos x at x = 7 b) y =…

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Q: Find the slope of the tangent line to the curve r = 5 cos(0) at the point specified by 0 = 3.

A: We have to find the tangent equation.

Q: ,)= 2 . Determine the equation of the tangent to the curve where x=0. Oy=-1+x Oy=-x+1 Oy=1 O None of…

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Q: 8. Find all points on the graph of y = (x + 3)² at which the tangent line is parallel to the line…

A: The given graph is y = (x +3)2 To find the points on the graph at which tangent is parallel to the…

Q: Find the slope of the tangent line. y = cos3x at x= -5pie/12

A: Given:     y = cos3x      At x = -5π/12

Q: 7. Find the slope of the tangent line to the curve 3x° + 2y° = 13xy at (2, 1). %3D

A: Given

Q: 11. Find an equation of the tangent to the curve y = In(4 + x) at the point where x = 1,

A: We are authorized to solve only 1 question please repost remaining questions Tangent at point to…

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

A: Given curve is y= lnsecx .  We have to find the length of the curve from x=0 to x=π4. Length formula…

Q: 11. Determine the values of n and h required to approximate e2r sin 3x dx to within 10-4. Use a.…

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

Q: 3 In estimating | cos(5x)dx using Trapezoidal and Simpson's rule with n = 8, we can estimate the…

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Q: 9. Find the slope of the tangent line to the graph of f (x) = sin (cos 2x) at x = 1 A. -2(sin 2)(cos…

A: we have to find the slope of the tangent line to the graph of fx=sincos 2x at x=1

Q: 2. A particle moves along the parabola y = x in the first quadrant in such a way that its…

A: Given: A particle moves along the parabola y = x2 in the first quadrant in such a way that its x -…

Q: The slope of the tangent line to the curve r=cos20 at 0= 1/4is none of these O-V3 0 1 O (-1)/V3

A: As we know that; The slope of the tangent line to the polar curve at the given point is equal to the…

Q: 11.Determine the equation of the curve whose tangent line at any point (x,y) is e*-sin x and passes…

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Q: 57 6. Find an equation of the tangent line to y = f(x) = cos²(x) at %3D

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Q: Find the equation of the line tangent to the graph of y = 3x cos x at the point (π, −3π).

A: Given Data: Equation: y=3xcosx Point: (x1, y1)=(π, −3π) The derivative of the given equation of…

Q: Find the slope of the tangent line to the given curve at the point corresponding to the specified…

A: Solve by converting polar form into coordinate form

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

Q: 4. Find the slope of the tangent line to the curve 2xy + 4* = y? – tan(2x) at the point (0, 1). Give…

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Q: 1. Find the equation of the tangent line on tan-'(x²y) = cos(;x²) + xy². at (V7, 0).

A: Here is the solution

Q: Find the taluves of X Where the

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Q: 34 10- Find equation of tangent line at the point (0, T) for Cos (7x- y) %3D 4y

A: Solved below

Q: 3. Find the tangent line equation for the given function at the given point: = 3.xy at (3/2,3/2).

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

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Q: 4. Find the length of the arc of f(x) = ÷ (1+ x²)ē between x = 0 and x = 3. %3!

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Q: 1. Use four equal-length Hermite curves to interpolate y = sin(x) in the interval [0, 2r].

A:

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: 3 Ay 10- Find equation of tangent line at the point (0, 7) for Cos (7x - y)

A: Solving

Q: Find an equation of the tangent line to the curve at the given point. y = 8ex cos(x), (0,8) y =…

A: Here y is given find.slope.from.it then solve as below

Q: FInd the length of the curve y= 2ln ( sin(x/2)) from x = π/5 to x = π

A: Formula to find the length of the curve is  ∫ab1+dydx2dxGiven y=2ln(sinx2) Lets find out dy/dx by…

Q: Can i get help step by step with this problem?

A: Find the derivative by the quotient rule:

Q: 11. Find the equation of the tangent line to the curve 2 sin(ry) = x at the point (1, 7)

A: This curve is given by sin(xy)=x/√2                  sin⁡(xy)−x/ √2. =0  Inspecting the gradient at…

Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT TH INDICATED POINT. 4.…

A: we only solve one problem at a time, please upload it one by one

Q: 4) The curver= V1 + sin20,

A: Solution :-

Q: Compute the length of the curve r-4 sin 26 for Approximate to three decima places.

A:

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

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Q: (14 Find the eguation of the tangent line for y = when x=1. x² +3

A: Given,            y=12x3+3 , x=1To find : The equation of the tangent line.We know that,…

Q: 5-The tangent line to the curve y=vx for x-16 is

A:

Q: 6. Sketch the graph of the function over one period y=2+ sin(4x). Plot at least three points…

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Q: 4. Find the equation for the tangent line to the graph of y = VT at a = 2. Remember to keep every…

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Q: 4. Find the slope of the tangent line to r = cos 0 at 0 = 3 %3D

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

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Q: Use Simpson's 1/3 rule with (n₁ = 2), and Simpson's 3/8 rule with (n₂ = 3) to estimate tan-¹(2).…

A: We have to estimate the given function.

Q: 4. Use Secant method with p =1, p =1.2 to find the root of f(x)= Inx – cosx that is accurate to…

A: Given, fx=ln x-cos x; p0=1; p1=1.2; As it is known that the secant method is given as,…

Q: 7-The tangent of the curve x^2+y^2- 2XY3D0 at the point (1,1), is *

A: Given,           The curve is x2+y2-2xy=0 at the point 1,1.

Q: 2 Consider the curve given by f(x)=x²³x + 5 find the equation to the tanget to the curve at point…

A: We know that a line which touches the curve fx at one and only one point is called a tangent line.…

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

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

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.