2. у 3 sin x, у3D сos x, 0

Q: If UV = 8, UX = 4, and XY is x + 3 find x. Assume that segments %3D that appear tangent are tangent.…

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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: If y = sin?t+ tant, x=- In(- cost) – esinr, find the value of y when t=. A ... В 2+ Vze V? D

A: Solution:

Q: O Find the equation of the line tangent to the curve at the given value of the parameter. x cost+…

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Q: Find the points on the given curve where the tangent line is horizontal or vertical. (Assume 0S0< x.…

A: Given :           r=6 cosθ

Q: 4. Find the acute angle between the curves y = sin r and y = cos r (0 < r <) at their point of…

A: We find the point of intersection by setting them equal

Q: Eliminate the paranoter t from the follewing S r(1) = 4+ sin t lu(t) 3- cost

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Q: For the smooth curve, find any points where the tangent line is either horizontal or vertical. x(t)…

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Q: For what value of t will the slope of a line tangent to x = 6 sin t, y = t² + t be 0?

A: We have to find t

Q: Apply the method of Implıcit Di fferentiation to find dy in eq (i) angle O=45 with and loPI-r=472…

A: Given, x2+y22=16x2y.....1x=rcosθy=rsinθr=16cos2θsinθ Now diffrentiating the given function with…

Q: Find the length of the curve y=Arc sin e^x when y= pi/6 to y=pi/2

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Q: Given that Sinh Ys 2. fnd sech x, eanh y with draw atiangle

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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: If x is one quarter of xo; f(x)=3; the angle produced by the tangent at xowith the x-axis (0) is 45°…

A: Answer is option  2 (1)

Q: a) cosh (x) tanh' (?) = sech'! (?) find the "(?) " %3D %3D b) ln () = ? --

A: We are given : cosh-1(x)=tanh-1?=sech-1(?) Let,   Now, cosh-1(x)=tanh-1t=sech-1(y) Taking…

Q: PR is tangent to circle Q at R and PS Is tangent to circle Q at S.Find mZP.

A: Given: PR is tangent to Q at R and PS is tangent to Q at S ∠P =  x° ∠Q =  4x° ∠R =  90° ∠S =   90°

Q: The slope of the tangent to the curve r = 3 sin 40 at 0 = 0 is %3D Şelect one: O a. -1 3D1 O b. 0 C.…

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

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Q: Find the lengths of the curves x = cos t, y = t + sin t, 0 … t … pi

A: Solution:Given   x= cos t,      y= t+sin t,   0≤t≤πFormula:Lenght=∫dxdx2+dydt2dt1+cos 2x=2 cos2…

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: 14. Write the tangent ratios for ZP and 2Q. P 12 20 R 16 Not drawn to scale 12 A. tan P = 16 tan Q =…

A: See the details solution in below

Q: The value of cosh(3z+1)dz, where C is the line segment from z=1 C to z= 2i. O a. (-sinh(6i+1)+sinh…

A: We have to find the value of integral,  I = ∮Ccosh(3z+1)dz  ;  where C is the line segment from z=1…

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

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Q: If UV = 7, UX = 5, and XY is x + 3 find x. Assume that segments %3D that appear tangent are tangent.…

A: Given circle is as below :

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: The slope of the tangent line to y = x6 + x – 5 at - the point x = 4 is O -46657 6145 O 16384 O 1537…

A: Given:         f(x)=x6+x-5 at x0 =4  The value of function at the given point y0         f(y0)=…

Q: The tangent line to the graph of f(x) = sin'(r – 1) is verfical at z = 1/2. Select one: a. False b.…

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Q: Use linear approximation, i.e. the tangent line, to approximate 3.6° as follows: Let f(x) = x°. The…

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Q: In the figure on the right, xy and xz are tangents from an external point X. 1. Is XY congruent to…

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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 surface of a water wave is describedby y = 5(1 + cos x), for -∏ ≤ x ≤∏, where y = 0corresponds…

A: Given- y=51+cosx and consider the figure, To find- The average height of the wave above the trough…

Q: At the given point, find the line that is normal to the curve at the given point. 6x <y - TT Cos y =…

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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: The point P(2, -1) lies or (a) If Q is the point (x, 1/ the slope of the secant al places) for the…

A: Given the given curve is y=11-x and the given points are p2,-1 and Qx,11-x. Apply formula for the…

Q: Write the tangent ratios for ZY and ZZ. 34 3 5 Not drawn to scale - unz - 5. tan Z 3 3 tan Z = 34…

A: Given:The figure,

Q: If UV = 7, UX = 4, and XY is x + 2 find x. Assume that segments %3D that appear tangent are tangent.…

A:

Q: 3. Consider the curve given by r = 2+2 cos (0) where 0<0<2n. Find the slope of the tangent IT line…

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Q: the wire that lies along the curve Di + (7 sin t)j. 0sts5 Osts1; 8= 5? its

A: We have to find the mass of wire according to the given information

Q: H.W: Find the lines that are tangent and normal to the curve point ,1). y = = tan x at the %3D

A: The given curve is  y = tanx  The point is givenπ4,1

Q: Find the exact length of the curve. x = 9 cos(t) − cos(9t), y = 9 sin(t) − sin(9t), 0 ≤ t ≤ pi

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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 the cosine of the angle between the curves (cost, -sin(t)/5, sint) and (cos(nt/3), sin(nt/3),…

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Q: 6. Write the tangent ratios for LY and ZZ in the triangle below. [Triangle is not drawn to scale.]…

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Q: The slope of the tangent line to f(x) = cos(x) · sin(x) at a =, is ANSWER: Blank 1 Blank 1 Add your…

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Q: 5. Given the equation xy = Arctan(ye*) where z is a function of a and y, Əz əz find and ar ду

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Q: Find the points on the given curve where the tangent line is horizontal or vertical. (Assume 0sos…

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Q: For the smooth curve, find any points where the tangent line is either horizontal or vertical. x(t)…

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Q: If x = 10 cos 0 and y = 10 sin 0, find the total length of the curve swept out by the point (x, y)…

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

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Q: ind an equation of the tungent line to y= 45in2 X at point (i II

A: