The graph of y = f(x) (solid curve) appears below, together with the tangent line %3= to the graph at (2,0.5). (2, 0.5)

Q: (a) Find the slope of the tangent line to the function y 3+sec (x) at 1-sec (x) X = -. 4

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

Q: Find the derivative dydx for the function x=sin2t, y=−cost at the point t=π6.

A:

Q: Find the equation of the tangent and normal line to the curve y=x2 at x=1

A: Tangent is a line to the curve that just touches the curve at a particular point. Normal is a line…

Q: Find the slope of the tangent to the curve y x3 at (6, 3) xy + 6 dx (Enter undef if the slope is not…

A: Given that: y2=x3xy+6 at (6, 3)

Q: Find the equation of tangent and equation of normal for the implicit function y + 4xy x+y, at the…

A:

Q: Find the slope of the tangent line to the graph at the given point.

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

Q: Find the point(s) on the graph of y = x' – 3x at which the tangent line is horizontal.

A:

Q: Find the equation for the tangent line of the graph of y = x° at (0,0).

A:

Q: y = 7x + e5x ; (0, 1) %3D

A:

Q: Find the equation of the tangent line to the curve y = (2 + x)e¬* at the point (0,2)

A:

Q: Find an equation of the form y = f(x) for a curve with æ-intercept 0 whose tangent line at any point…

A: We have to find

Q: Find an equation of the tangent to the curve y =x In x atthe point  (e, e).

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

Q: What is the slope of the tangent line that touches the graph of In y + e2=-1 = 3y – 4x at the point…

A:

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

A:

Q: Find an equation of the tangent line to the curve y = 7tan(5x) at the point (0, 1)

A: According to Bartleby only first question can be solved at a time Please find the solution

Q: (b) y = x3 y 2 1

A: Given y=x³ Draw the graph and measure the change in y and change in x

Q: Use the graph to estimate the slope of the tangent line to y = xn at the point (1, 1). Verify your…

A:

Q: Find an equation of the tangent line to the curve at thegiven point.   y = ex   / x  , (1, e)

A: Given: y=exx,1,e. for finding tangent at given point we need slope of tangent at that point  so,…

Q: Find an equation of the tangent line to the curve y = (4x + 2)e at the point a = 0.

A:

Q: Find the slope of the tangent line of the function -ey + x2 – y = 15 at the point (4,0)

A: Please note that the slope of tangent to a curve at any point is given by the derivative of the…

Q: What is the equation of the tangent line to the curve y= In(x“ + 1) at x=1?

A:

Q: Find the equation of the tangent line to the curve y = ex/x + ex at (0, 1).

A: Given that curve  y = exx+ex at (0, 1). The slope of tangent any point on the curve is given by its…

Q: Find the slope of the tangent line to the graph at the given point.

A: Slope:  The slope of a line measures the steepness of the line. The slope is calculated by rise over…

Q: Find the equation of the tangent line to the curve y=csc(x) at x=pie/4

A:

Q: Find equations of the tangent and normal line to the curve y = x cos x at x = t/2.

A:

Q: 2) Find the equation of the tangent line to the curve y = cos(2x+ at x =

A:

Q: The slope of the tangent line to the graph of the function y= Ttx- cotx at x=0 is O T+1 O T-1

A: Solution is given below:

Q: Find an equation of the form y = f(x) for a curve with r-intercept 2 whose tangent line at any point…

A: Here, to find the equation of the curve of the form y=f(x) with x-intercept 2. That is curve passes…

Q: Find the equation of the tangent line to the curve y=4+e2sinx at the point (0,5).

A: our objective is to find the tangent line equation.

Q: Use the graph to estimate the slope of the tangent line to y = xn at the point (1, 1). Verify your…

A: Given curve is y=x-1. Power rule of differentiation states that, ddxxn=nxn-1 Differentiating the…

Q: Find the equation of tangent and equation of normal for the implicit function y +3xy =x+y, at the…

A:

Q: Find the equation of the tangent line and the normal line of the curves at given point 1. y = x V16…

A: Equation of tangent line Consider y=x16+x2slope of the tangent line is dydx  at…

Q: Find an equation of the tangent line to the graph of y=e^-x^2 at the point (2,1/e^4)

A:

Q: Use the graph to estimate the slope of the tangent line to y = xn at the point (1, 1). Verify your…

A: Estimate the slope of the tangent line to y=x12 at the point (1, 1) and then verify the answer…

Q: Find the equation of the tangent line to the curve y = e - x that is parallel to the line y = 1 - 2…

A: Consider the curves, y=e-x…

Q: Find the slope of the tangent line to the curve y = arctan(13x +e) at the point (0, 7/2).

A:

Q: An equation of the tangent line to the curve y= cos(x) at a = T/3 is (- 7/3). %3D y =

A:

Q: Find the x-coordinate(s) of the point(s) on the graph of y = x + sinx at which the tangent line has…

A: Graph of y=x+sinx

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

A:

Q: Find the slope of the line tangent to the curve y = sin x at the point where x = 3

A: Given: y=sin5x To find: The slope of the line tangent to the curve y=sin5x at the point where x=π3

Q: Find an equation of the tangent line to the curve, x^2-xy-y^2=1 at the point (2,1). (use implicit…

A:

Q: Find the equation of a tangent line to the curve y = x e2x at the point where x=1

A:

Q: The tangent lines to the graph of f (x) = x2 grow steeper as x increases. At what rate do the slopes…

A:

Q: Find the equation of tangent and equation of normal for the implicit function y² +4xy = x+y, at the…

A: We have to find the equation of the tangent and equation of the normal for the implicit function y2…

Q: The slope of the tangent line to the curve y=2e10xcos(-6x) at x-0 is

A:

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: x =t - sint y = 1- cost

A:

Q: Find the value of x at which the tangent line to the curve y = passes through the origin. x+3

A:

Q: Find the slope of the line tangent to the graph of y = sin-1 x at x = 0.

A: y=sin-1(x)

Q: Find the x-coordinate of the point on the graph of y=x^2 where the tangent line is parallel to the…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.