x = t², y = 2 ln t; t> 0

Q: Find the equation for the tangent to the curve y = e 4X at the point (4, e 64). f(x) = e 4x2 The…

A: We will first find the slope of the line

Q: Find an equation of the tangent to the curve at the given point. x = sin(?t),      y = t2 + t;…

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Q: Find an equation for the line tangent to the curve at the point defined by the given value of t…

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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: For what value(s) of x, the curve y = has horizontal tangent ? x²+1 x= 0 & x = - 1 Ox=0 O x=1 & x=…

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Q: 5) Sketch the curve X = e', Y = e?t + 1

A: Given, The curve  X = et  and  Y = e2t+1 We have to sketch the curve.

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: 2) Consider the curve defined by -8x² + 5xy + y³ = -149 dy a) Find dx b) Write an equation for the…

A: solution is given below

Q: Find an equation of the tangent to the curve at the given point. x = 2 + t2 − t,    y = t2 + 2,…

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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: Find an equation of the line tangent to the following curve at the given point. 17 = 1; 15,- 64 8 dy…

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

A: to find the slope of the tangent we will need dy/dx. For that we find dx/dt and dy/dt first

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

A: Explanation of the answer is as follows

Q: X= cos t, y= sin t; t= 6

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Q: Find dy/dx and (d^2)y/dx^2, and find the slope and concavity (if possible) at the given value of the…

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Q: determine Dy/Dx at the given value of t and graph

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Q: Find the equation of the tangent line to the curve y = 5 sec(x) – 10 cos(x) at the point (T/3, 5).…

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Q: x =t – 1, y = t2. B. Sketch the graph of the curve r = 3 cos 0.

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

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Q: Draw the graphs of y =x and y, = e* on the same coordinate's axes. Estimate the root of the equation…

A: To draw the graph of the given equations

Q: (a) Find an equation of the tangent line to the curve y = 14/(1 + e*) at the point (0, 7).

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Q: If h(x) = 3 – 4x°, find h' (1). = 3 – 4x° at the point (1, – 1). The Use this to find the equation…

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Q: find an equation for the line tangent to the curve at the point defined by the given value of t.…

A: Given,x=t+ety=1-et

Q: find an equation for the line tangent to the curve at the point defined by the given value of t.…

A: Equation relates the number of variables combined together by algebraic entities using equality…

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

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Q: 21 Find the equation of the tangent i ne OF the graph of yEra y= xe at the point ( ). y=? -2X

A: The objective is to find the equation of the tangent line.

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

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

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Q: At which of the five points shown on the graph are and dx dy both positive? dx2 E В

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Q: Given x=et , y=te-t , find equation of the tangent to the curve at ln 3 and d2y/dx2

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Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

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

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Q: (G). Express the curve by an equation in x and y given t E (0, 1] and identify the correct sketch of…

A: Given, x, y = 1t, 6t2   where t∈(0, 1] We have to express the curve in terms of x and y  and sketch…

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

A: Equation of tangent line at (x0,y0) (y-y0) = m(x-x0)

Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

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Q: -9x Find an equation of the tangent line to the graph of y = e at the point (4, e¯3º). y =

A: First of all we will find the slope of the tangent line using the fact that the slope of tangent…

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

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

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

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Q: The equation for the tangent to the curve y = t+ at the point (1,3

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

A: Then we plug t=-1

Q: Find an equation of the curve that satisfies dy 33yr10 dx and whose y-intercept is 4. y(r) =

A: The given differential equation of the curve is, dydx=33yx10 Given that, the y-intercept is 4. That…

Q: 47. For the equation: y= Vx? + 20x dy ay using the chain rule dx a. Find а. b. Find the slope of the…

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Q: Ql: Find an equation for the tangent to the curve at the given point. 1.y=2V (1,2)

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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: Find an equation of the tangent to the curve at the given point by both eliminating the parameter…

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Q: Find the equation of the tangent line to the curve y = 4 sec(x) – 8 cos(x) at the poin (T/3, 4).…

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Q: 1) x=t^3+1, y=t^2-t  a) Find dy/dx b) Find d^2y/dx^2 c) Find an equation of the tangent to the…

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Q: x = VE, y = t? – 2t; t = 16

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

A: x=et , y=t-lnt2,  t=1 Differentiating with respect to t, we get dxdt=detdt  &…