3. The function f(t) is measured in miles per hour andt is measured hours. What are the units for the area under the curve f (t)?

Q: Find the exact length of the curve. y = ln(Sec x),   0≤ x ≤ π/4

A:

Q: 8) Find all values of t for which x = +5, y = t lnt – t has a vertical tangent line

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Q: Find the point at which the curve Sx=t-4 ly=t-4t has a horizontal tangent. (x, y) = |

A:

Q: Use a tangent plane to approximate the value of the following function at the point (1.1, 5.9): f(x,…

A:

Q: 7. The point of contact for a tangent to the curve f (x) = º is (2,4). It intersects the x and y…

A:

Q: 9) Find the equation of the tangent to the curve y = 1+ Int and x=t+Int when t = 2.

A: Given problem:- Find the equation of the tangent to the curve y = 1 + lnt and x=t+Int when t = 2 .

Q: Q2) find the slop for the tangent of the function f (x) sin(xcos(x)) at x = 2n. %3D

A: To find the slope of the tangent of the function fx=sinxcosx at x=2π. Solution: The slope of a…

Q: B. Eind y by implicit differentiation. A.e sinh x+ In y cosh x= tanh(x - y)

A: The given equation is eysinhx+lnycoshx=tanhx-y. Calculate the value of y'. Here we use the formula…

Q: Use Euler's method to approximate the indicated function value to 3 decimal places, using h = 0.1.…

A:

Q: Consider the function y = x(In x)². At which point the tangent line to the graph of this function is…

A:

Q: Show that the function f(z) = e* – y?(cos(2xy) + isin(2xy)) is entire and find its derivative

A:

Q: Let f(x) = x + vx . The equation for the tangent line at the point (1, 2) is y = m(x – 1) +2, where…

A: Given: fx=x+x

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

A:

Q: If f '(1)=4, f(1)=2, and g(x)= f(x)·tan¬(x), what is the slope of the tangent line to the curve…

A: We can solve the problem by obtaining the tangent by doing derivative of the function given.

Q: Use Euler’s method to approximate the indicated function value to 3 decimal places, using h =   0.1.

A:

Q: Use differentials and the graph of f to approximate (a) f (1.9) and (b) f (2.04). To print an…

A: To calculate the approximate value of a) f(1.9) and b) f(2.04)

Q: Find the slope of the tangent to the curve y = sin x sinx at x= O a) -1 O b) 1 Oc) 2 d) 0

A: Given : y = xsinx,     at  x=π2

Q: Choose the right value of the following integral sie3f(=) f' (x) dx. where f is a continuous,…

A:

Q: Use Euler’s method to approximate the indicated function value to 3 decimal places, using h =   0.1.

A: Use Euler’s method to approximate the indicated function value to 3 decimal places, using h =   0.1.…

Q: Let f'(z) = tangent line to the graph of the function h(z) = g(13x+3) at e and g(x) = f(/#). Let L…

A: Given, f'x = ex2  gx = fx L is the slope of the tangent line to the graph of function hx = g13x+3 at…

Q: 21 Find the value of c such that the line y = -x + is tangent to the curve y = c/x.

A: Given line ⇒y = 76x+212    .....(1)curve y = cx   ....(2)Differentiating w.r.t 'x'       (2)y' = c2x…

Q: Q3/Find the tangent to the curve x+ xy+ y' = 1 at (1,-1).

A:

Q: 10. Find the slope of the tangent line for the following function at indicated point: 1 f(t) at t =…

A:

Q: The volume of a right circular cylinder with radius r and height h is V = πr2h. Is the volume an…

A: Given: Volume of a  right circular cylinder =  πr2h  To determine: Is the volume an increasing or…

Q: Find an equation of the tangent line y(x) of r(t) = (t',tº) at the point t = 1. (Use symbolic…

A:

Q: The curves y = In x and y = 3x² have parallel tangent lines at x = A) ± √/ B) C) √6 E) 2

A: Two lines have parallel tangent if slop at the point is same.

Q: Consider the following function: y = f(x) = ln (2x² + 6x + 5) , for r > 0 (a) Calculate f'(0),…

A:

Q: 1. For the square root function f(x) = VT, (a) calculate an equation for the secant line connecting…

A:

Q: Find the length of the curve y = ln sin x from t = −2 to t = 0.

A: f(x)=y=ln(sinx) Arc length =∫ab1+(f'(x))2dx f'(x)=dln(sinx)dx=1sinxdsinxdx=cosxsinx=cotx a=-2 b=0

Q: Find- for the following function dx x=a(cost + t sint).y=a (sint-tcost)

A: y=a(sint-tcost), x=a(cost+tsint) To find dy/dx.

Q: The slope of the tangent to the curve f (x) = 2" at x = 1 is approximately (to three decimal…

A:

Q: 11. Find the slope of the tangent line t = 2. Show all your worka x = v2t, y =t %3D t

A:

Q: 3. Use the first derivative to find the location of all local extre ma for the following functions.…

A: Explanation of the answer is as follows

Q: 17. Determine the tangent to the curve 3y = x³ at (3,3) and calculate the area of the triangle…

A:

Q: Suppose that the radius r and area A = pai r2 of a circle are differentiable functions of t. Write…

A: Given, Radius = r Area = A= pi*r^2

Q: The slope of the tangent line to the curve r = t2 + 1, y = t+t at t = 1 is (A) 3/2 (B) 2 (C) 4 (D)…

A:

Q: I. Determine the equation of the tangent line to the graph of f(x) V3+ 5t5 dt at I= 1.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Recall that the volume V of a circular cylinder with a base of radius r and height h can be…

A:

Q: Differentiate the function and the function of the tangent line at the given value of the…

A: Given, s=t^3-5t^2 t= 3

Q: Let F(x) = dt. Find an equation of the tangent line to the curve y = F(x) at the point with…

A:

Q: Use a tangent plane to approximate the value of the following function at the point (- 2.9, 10.1): |…

A: Consider the given information: f(x,y)=arctanxy2+301 To use the tangent plane approximation to find…

Q: Consider the function f(x) = e^x2−6x+5 . Find the value(s) of x at which the tangent line is…

A: Given thatf(x)=ex2−6x+5ddx(f(x))=ddx(ex2−6x+5)               =ex2ddx(x2) −6               =2xex2-6

Q: C) use implicit nind ay differentiation to dn for 22 (Osh (y) - In (tanh 2) = y2 %3D

A:

Q: (c) Find the equation of the tangent plane to the graph of f(x, y) at (1,1,3).

A: Suppose surface S defined by a differentiable function  z=fx,y and point Px0,y0,z0 lie on the…

Q: The slope of the tangent line to the graph of y = ln x at x = a E R approaches infinity as a → 0+.

A: Given curve: y=ln x

Q: tan (3x)+y? = sinh(2y)+5x

A: Solution:

Q: メ*+\ for what Value sss of x ,t he curve y= 3 X has horizontal tangent

A:

Q: At what value of x does the curve 1„2 sin y = 3y +x² + 4x have a horizontal tangent? (Supporting…

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.