The exact value of the slope of the tangent line to the graph of the curve r = 7 + 8 cos(0), at e = 1/3 is 2 a. V3 45 1 b. 45 C. 15 V5 d. 45 1 V3 25 е.

Q: Use an appropriate local linear approximation to estimate the value of the given quantity. Round…

A:

Q: Find the equation of the tangent line to the curve y = 5x cos T at the point (T, – 57). The equation…

A: Please refer the attached image for complete solution. THANK YOU.

Q: 10. The slope of the tangent line to the curve y(cos x)+e' =5 at the point where x= is (5+In 5) In5…

A: The slope of a  tangent line of a curve at any point will be equal to the slope of the curve at that…

Q: What is the equation of the line tangent to the curve ev + cos(x) = 1 at the point (,0*? Y = 0 A B…

A:

Q: Find the eguation of the tangent Line to the CUrre y= Cos( Son)e) at the Point mith coordinates (T)…

A: Given curve is, y=cos(sin(x)) we have to find the equation of the tangent line at the point (π,1) of…

Q: Let C be the graph of the equation In(3y – 2e") = sinh“(Tx) – tan(y – 1). | dy (a) Find dr (b) Find…

A:

Q: Find an equation of the tangent to the curve given by = evi y = t – In(?) at the point corresponding…

A:

Q: Find an equation of the tangent line and normal line to the curve at the given point for the…

A:

Q: Find the length of the following curve: y = ln(cos(x)) from x=0 to x=pi/4

A:

Q: Find an equation of the line tangent to the following equation at point x = 1. tan x f(x) =x What is…

A: Given : f(x) = xtanx

Q: Use an appropriate local linear approximation to estimate the value of the given quantity. Round…

A:

Q: Find the equation of the tangent and normal to the following corce at the points indicated against…

A:

Q: (b) Find the points on the given curve where the tangent line is horizontal or vertical. r = 1 + cos…

A: We are given a curve in its polar form  r= 1+cosθ We have to find points on the curve at which…

Q: (a) Find the equation of the tangent line to y = lnx at x = 1. (b) Use the tangent line to calculate…

A: solve the following

Q: The exact value of the slope of the tangent line to the graph of the curve r = 5 + 4 cos(0), at e =…

A:

Q: The slope of the tangent line to the graph of z- y? = In(zy) at the point (1,1) is Select one: O a.…

A: Given the equation of the curve x2 -y2 =ln(xy) We have to find the slope at (1,1) So, the slope is…

Q: Answer the following questions. Exact answers only! a) Find given y = 2 ec(ln x) b) Find the…

A: For (a), We are given that y=2secln x. So,         y'(x)=2seclnx' Apply exponent rule:   ab=eblna.…

Q: e cos at the Find the equation of the tangent line to the curve y = point (e?, 0).

A:

Q: Find the unit tangent of the following curve at the specified point. r(t) = 2ti + 1 · sin(2t)j+3 ·…

A: We have to find the unit tangent vector at t=pi/3

Q: Find the slope of the tangent line of the function y = In (x) at x = e2 O1/e? 4/et O 1/e* O 2le2

A: Topic = Derivative As per guidelines, At a time only one question can be answered out of different…

Q: Two particles start at the origin and move along the x-axis. For, 0 <t< 10 their respective position…

A: Given, x1=sint , x2=e-2t-1 ,0≤t≤10 To find the velocity, Differentiate with respect to t we get,…

Q: Find an equation of the tangent line at the given point on the curve. (a) x = 2 – 3 cos 0, y = 3+2…

A:

Q: The slope of the tangent line to the curve at (x,y) point is defined by (1+ k) e2a+e .If the curve…

A:

Q: The displacement of a particle moving back and forth along a straight line is given by the following…

A: The displacement of a particle moving back and forth along a straight line is given by the following…

Q: Sketch the curve. And indicate the direction of increasing T at T =0

A:

Q: Find the exact length of the curve. y = ln(cos x),   0≤ x ≤ π/3

A: Formula used: L=∫ab1+dydx2dx

Q: Find the values of x between 0 and 2n, if any, where the graph of y(x) = sin(x) cos(x) has a…

A: Given : yx = sinxcosx

Q: The slope of the tangent line to the graph of y? = In(ry) at the polnt (e, 1) Is Select one: a.e=1…

A:

Q: For what value(s) of t will the slope of a line tangent to x = 6 sin t, y = t² + t be undefined, for…

A: Here we have to find the slope of the tangent line.

Q: The equation of the tangent line to f(r) = at z = 1 is y = ar +b and the tangent point is (1, c).

A:

Q: Find the first order derivative for the following: T-cot(e(40)y) sin(10y²) 10 + Vx4 + 10e* y3

A:

Q: For the cardioid r  =1+ sin0 of Example 7, find the slope of the tangent line when  0=pi/ 3

A: Then plug this in the slope of the tangent formula

Q: Find the first order derivative for the following: cot(e(+M)y) sin(My²) + Vx4 + Mex %3D

A: We will find  ∂T/∂x,    ∂T/∂y

Q: a(22) V17 – cos(2nt)" (2 – 4) sin() 1. Given f(x) dt, find the equation of the line tangent to the…

A:

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

A:

Q: 1. a) Find the equation of the tangent line to the curve given by F(t) = (cos(nt), t, 1 + t2), for t…

A: First we find r(2) and r'(2). Then find equation of tangent line to given curve r(t).

Q: Given that y = In(4 + x²), %3D find dy (a) dx' (a) the equations of the tangent and normal to the…

A:

Q: Find the exact length of the curve. y = 2 In(cos (÷)) Tt/3 < x <T/2

A: Here given Differentiate the given function with respect to x using the chain rule of derivative

Q: Find the exact length of the curve. y = In(cos(x)), TC 0 < x<.

A:

Q: Find the equation of the tangent line to the curve 1 y = 3 sin z + 4 cos a at the point (0, 1/4).…

A: Given:     y = 1 / ( 3 sinx + 4 cosx ) Point: ( 0 , 1/4 )

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: ind the second derivative (y") of the following function step-by-step and simplify the nal results:…

A:

Q: 10. The slope of the tangent line to the curve y(cos x)+e' =5 at the point where x= is In5 (c) (5+…

A: Given that

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

A:

Q: Use an appropriate local linear approximation to estimate the value of the given quantity. Round…

A: cos32° It can be written as, cos32°=cos30°+2° Now, fx=cosx, x=30° &amp; ∆x=2°=2π180 radians Now…

Q: Use an appropriate local linear approximation to estimate the value of the given quantity. Round…

A:

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

A:

Q: 2. If g(x) = x + 2 cos x, then the equation of the tangent line to the graph of g at x = is A. 2y +…

A: Wr have to find the derivative of the given function first.

Q: Consider the following. f(s, t) = s In(6t) + e + e-1.33t f(s, t) = 2 for 1sts 20 tangent line at t =…

A: Equate the given equations to obtain the curve:                                  First, calculate…