Let f(x) = Vx. The equation of the tangent line to f(x) at = 1 can be written in the form y = mx + b where m is: and where b is: Using this, we find our approximation for V1.3 is

Q: Given:G(x,y)=−x^2 +y^2+16=0 ,  find y' and the equation of the tangent line (t) at x=5.

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Q: Given that the line y= 2x +c is a tangent to the curve y = kx, where c and k are positive constants…

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Q: Given f(x) = 6xe® csc(x), answer the following: a) f'(x) = b) The equation of the tangent line to…

A: A function f(x)=6xexcsc(x), we have to find the derivative of the given function i.e. f'(x) also…

Q: Find all values of x where the slope of the tangent line to f(x)=4x^2−3x+2 is 0. x = ___ If…

A: Topic = Derivative

Q: f(x)=x2+2  at (1,2)   Find the equation of the tangent line using delta method

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Q: Find the equation of the tangent plane to z = ey + x + x2 + 11 at the point (5, 0, 42).

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Q: Use linear approximation, i.e. the tangent line, to approximate 2.7^6 as follows: Let f(x)=x^6. The…

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Q: Use linear approximation to approximate v25.1 as follows. Let f(x) = Vx. The equation of the tangent…

A: equation of tangent line is :  y - y1 = m ( x - x1 )  here m is a slope and ( x1 , y1 ) is a point…

Q: Given f(z) = x+ VE Calculate the tangent line at the point (16, 20) y : (2- 16) + 20

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Q: The equation of the tangent line to the curve y = 1 at the point (3,-) is Vx +1 A. x+16y +11=0 B. x+…

A: Please refer the attached solution. None of the option is correct here . I have solved it…

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: Explanation of the answer is as follows

Q: Find the standard (slope-intercept form) equation of the tangent line to the following equations at…

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Q: Find the equation of the tangent line to y = e¯4t at t = 0.

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Q: Find the equation of the tangent line at y = 0, given the inverse function x = (3y + 2)(y + 1)?. A)…

A: Let's find.

Q: Find an equation of the tangent plane to the graph of F(r, s) at t F(r. s). - (3r4 1 + 1), (-1, 1.…

A: Introduction: Let z=f(x,y) denote the equation of a surface S in R3, and P=(a,b,c) denotes a point…

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 function f(x, y) has a tangent line at (0, 0) with direction . Which of the following are true?…

A: z = f(x,y) f(x, y,) - z = 0 Tangent at (0, 0) with direction <a, 0, c>

Q: Let s(t) = V25 - t. Find the equation of the tangent line to s(t) when t = 0. y =

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

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Q: Use linear approximation to approximate v25.1 as follows. Let f(x) Vx. The equation of the tangent…

A: The given functin f(x)=x at x=25

Q: The tangent line to the curve y=f(x) is horizontal at where X = Xo f f(xx) = 00 A O f(xo) = 00 .8 O…

A: The tangent line to the curve y=f(x) is horizontal at where x=x0 if

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

A: Find the equation of tangent lines for the following

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

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Q: Use linear approximation to approximate v81.4 as follows. Let f(x) = Vx. The equation of the tangent…

A: Consider, fx=x Differentiating with respect to x, we get f'x=12x Now slope of the tangent line at…

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: Using your answer to the previous question, find an equation of the tangent line of f (x) = Va – I…

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Q: Find the equation of the tangent plane to z = ey + x + x² + 7 at the point (5, 0, 38). = Z |

A: To find the equation of tangent plane to z=ey+x+x2+7  at the point 5,0,38In general the equation of…

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: (b) f(x)= e²**1 at P (In 2, 4e) 2.x+1 3De

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

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Q: Given that sin(any) + axy2 – a = 0, where a is a non-zero constant, find a formula for the gradient…

A: Given: To find the formula for the gradient of the tangent to this curve at a point P(X, Y) on the…

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

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Q: The third order derivative of the function y = In(1 – x) - at x = 0 is et O A. Undefined OB. C. 4 D.…

A: As per our guideline we supposed to answer only first question , kindly re post other as next…

Q: Given x = 2 lnt and y = 1+t, find the equation of the tangent line when t = 2. %3D O y=-4x-8ln(2)-5…

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Q: Find an equation of the tangent line to the curve at the following point: y = z°e², (1,1/e) y =

A: SOLUTION-

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

A: Given,  x = t cost  y = t sint    We have to find the equation of the tangent at the point t = π.

Q: Given the equation y In (x+y +6) 36, evaluate Assume that the equation implicitly defines y as a…

A: The equation is given by y lnx2+y4+6 = 6…

Q: If the Tangent line to y=f(x) at (1,2t pass through the point (0,3) Find l1) and f'(1) A. (1) = 0…

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Q: Use linear approximation, i.e. the tangent line, to approximate V1.4 as follows: Let f(x) : Va. The…

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Q: If y1=2x+4 and y2 =x^2+C, find the value of C such that y2 is tangent to y1

A: Given: y1=2x+4    and    y2 =x²+C   To find :the value of C such that y2 is tangent to y1

Q: Find the equation of the tangent line.

A: We have to find the slope at (0,2)For that we need g'(0)

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  &…

Q: Given the equation y In (x+y" +9) = 5, evaluate dy Assume that the equation implicitly defines y as…

A: The given equation is  y.ln(x3 + y4 +9) = 5 To find dy/dx

Q: 18. The equation of the tangent line to 2² sin T # 0 f(x) = 0 x = 0 at r = 0 is 1 (a) y = -x (b) y =…

A: Note:Since you have asked  multiple questions ,we will solve first question for you.To get remaining…

Q: Write the equation of the tangent line in Cartesian coordinates for the given parameter t. x = eVE y…

A: at t=1 x=e1=e1=ey=1-ln(12)=1-ln(1)=1-0=1 tangent point (x1,y1)=(e,1)equation of tangent line…

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

A: Using formula of equation of tangent line.