O Find the equation of the line tangent to the curve at the given value of the parameter. x cost+ sin 2t , y = sint + cos2t,t 0 %3D

Q: dy Q3) Find of the function y = cos (5 sin (-)) dx

A: To find dy/dx of the given function

Q: » Given : x - xy + y? = 4 a) Find dY by implict differentiation : b) Find the equation of the…

A: Given equation, x3-xy+y2=4 To differentiate the term, use the formula, xn=nxn-1

Q: d?y 1 C. Given vx +Vy = 2, show that dx2 3 x2 D. Find the equation of the tangent line to the curve…

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Q: Find T(t) and N(t) at the given point. X = = et cost, y = et sint, z=et; t = 0 T(0) = N(0) || =

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Q: H.w. 1 Find an equation of the tangent line to the function y = at the point; () P(2;), () P(글,).

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Q: 4. Find d?y/dx² for the following functions: b) y = cos*(sec² 3x)

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Q: Q.1/Consider the following parametric functions y =1-cost and x =t -sint Find the following : dy a-…

A: We differentiate the function here.

Q: Find the equation of the tangent line to the curve y = 3 sec(z) – 6 cos(a) at the point (T/3,3).…

A: Topic - equation of tangent line to curve at given point

Q: Find T(t) and N(t) at the given point. t x = e¹ cost, y = e¹ sint, et sint, z = zet; t = 0 T(0) N(0)…

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Q: x+ 1 y ds C along the curve C given by r (t) = (2 sint, 2 cost), 0<t< m

A: Given integral is ∫Cx+12yds. Given vector is, rt=2sint,2cost,0≤t≤πxt=2sint,yt=2cost

Q: dy (a) If y = e° sin-1 (0) and z = e28 + cos-1 (0), find dx (b)Find the equations of the tangent and…

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Q: Use the formula for the slope of the tangent line to find 2 of c(t) = (5t + 9, 3t – 8) at the point…

A: The curve is defined by the following parametric equation  c(t) = 5t+9,3t-8 Where, x = 5t+9 and y =…

Q: dy at the value of the parameter. dx Find X = 4 cos(2ns), y = 3 sin(2ns), s = - 1/4

A: Given query is to find the value of dy/dx at s =-1/4.

Q: The equation + dx y = xy can be classified as FOLDE and Bernoulli’s equation. A True False

A: True.

Q: 6. Given y= 4+ cot x-2 csc x, find an equation for (a) the tangent and (b) the normal to the curve…

A: According to the guidelines we are instructed to answer only one question or 3 sub questions , the…

Q: P/ by method of variation of Parameters -X find ゾーン Y-Y = e Sine

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Q: dy at this point. Find an equation for the line tangent to the curve at the point defined by the…

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Q: An equation of the kangent and hormat. X+sinx líne to khe curve Y =xê

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Q: Find the equation of the tangent(s) to the curve a 6 sin t, y = t +t Select one: O a. x 6y O b. y 6x…

A: We have to find the equation of the tangent to the curves

Q: Find the equation of the tangent line to the curve y = 4 sin x + 2 cos a at the point (0, 1/2). The…

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Q: If y = sin?t+ tant, x=- In(- cost) - e sinr, find the value of y' when t==. 4 6 A 2 2 2/3 В 2-Vze 2…

A: Use dydx=dydtdxdt to simplify.

Q: 13. Given x = In t and y = 3t2, %3D a) Find the slope of the tangent line at the point t = 1. b)…

A: NOTE We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Given x= cos0 y = cos 30 (a) find the points on the curve where the tangent is horizontal or…

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Q: 5.) Find and d²y , and find the slope and concavity(if possible) at the given value of the dx2 dx…

A: Given Find out the derivative dy/dx using formula

Q: Q2:Is the point lies on the curve? x² cos y – sin y = 0, (0, 7) if so, find the equations of lines…

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Q: 2 The diagram shows a sketch of the curve y = a sin(hx) + c , for 0 SIST. Find the value of a, b and…

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Q: Then f' (x) = 9/(sinx+3cosx))^2 The equation of the tangent line to y = f(x) at a = t/3 can be…

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Q: dy d²y Find and dx? and find the slope and concavity, if possible, at the given value of the dx…

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Q: Find an equation of the line.

A: Consider the given curve

Q: 4. Find dx a y=e, giving your answer as a function of y. b. y In(xvx -1), x>1 sinx-cosx C. y= giving…

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Q: dy y cos x+sin y +y Solve the following 1. dx 0. %D sin x+x cos y+x differntail equation

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Q: If y = sin?t+ tant, x= - In(- cost) – e sinr, find the value of y' when t= A 1 1 2+ V2e v7 2 D 2-Vze…

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Q: A b. C find an equation of the tangent to the curve at the given point (T/6,1) 4 sin ² x y = + y =…

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Q: Find the equation of the set of antiderivatives at any point (x, y) whose slope is ei sin"(1- x?)2.…

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Q: Q4: Find the length of the curve r = 4 sin 0

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Q: I"y= sin?t+ tant, x=- In(- cost)– e sinr, find the value of y whent=". 4

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Q: find an equation for the line in the xy-plane thatis tangent to the curve at the point corresponding…

A: Given: x=12tant, y=12sect ; t=π3

Q: P/ by method of variation of Parameters -X Find Y-Y = e sine دیگا

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Q: A particle is moving along the x-axis with a velocity of v(t) = 8 cos (). The particle is at %3D x =…

A: Given : v(t)= 8*cos(t/2)  At t=0, partical is at x=2

Q: 2. Prove the following equation is exact and hence find its general solution. (y?sinx + xy?cosx)dx +…

A: Given: (y2sinx + xy2cosx)dx + (2xysinx)dy = 0 To prove that the above equation is exact. We also…

Q: 10. Circles tangent to the X-axis. Amm. [1 + (y)*]° =[yy +1+(]".

A: Every function can be described through a differential equation. The differential equation defines…

Q: for the functions below: a) if y-sinu, u-3x+n find dy/dx at point(0,1) b) Find for the function y =+…

A: we are given: y=sin u and u=3x+π ⇒y=sin (π+3x)=- sin 3x ⇒dydx=-3 cos 3xdydx(0,1)=-3 cos 3(0) =-3…

Q: .2). T Find the equation of the tangent line to the curve y 4 sin x at the point || The equation of…

A: Given: y=4sin x point (π6, 2)

Q: Find the equation of the line tangent to y =f (x) atx = 1, where f (x) = 13e* + e. Carry out all…

A: given function :

Q: Find an equation of the tangent line to the curve y = 4x sin (a) at the point (T /2,27). Express…

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Q: x = 2t + 5, y = t8, t = –1

A: To find the equation of tangent line given x=2t+5,y=t8,t=1

Q: Q2:Is the point lies on the curve? x*cos'y - sin y = 0, (0, 7)

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Q: H.w. 1 Find an equation of the tangent line to the function y = at the point; (1) P(2,), () P(글,4).…

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Q: Q2: Find the slope of the curve r = -1 + cos 0 0-T/2

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Q: find an equation for (a) the tangent line to the curve at P and (b) the horizontal tangent line to…

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