Use linear approximation, i.e. the tangent line, to approximate 3.7° as follows: Let f(x) = x°. The equation of the tangent line to f(x) at x 4 can be written in the form y = mx + b where m is: and where b is: Using this, we find our approximation for 3.7° is

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

A:

Q: Use linear approximation, i.e. the tangent line, to approximate 1.8 to the 4th powet as follows: Let…

A:

Q: Function Point h(t) sin t + et %D 7 7

A:

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

A:

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

A:

Q: Given: tan-1(e0.13-0.8) Get the local linear approximation to estimate the value of the given

A: According to question given that tan-1e0.13-0.8

Q: use the method in Example 3 to find (a) the slope of the curve at the given point P, and (b) an…

A: Given equation of curve :                                       y = x3

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

A: 1. f(x)=3x2-12x+1 at P(0,1)Note: Multiple questions are given, we are answered with first question…

Q: = e=x², 1 at the point 3, Find an equation of the tangent line to the graph of y =

A:

Q: Consider the following function. Vx. (1, 1) (a) Find an equation of the tangent line to the graph of…

A: the given function is f(x)=x. we have to find the equation of the tangent line to the graph of f at…

Q: For the function g(x) = sin(ax), find all points – 1 < c < 1 where the MVT shows g(1) – g(-1) =…

A:

Q: Consider the function y = f(x) = x² + 11x + 28 and the x-value xo = 2. %3D (a) Find a formula for…

A:

Q: (c) Find the tangent line equation to the curve x²y? = x + 2y at point (0,0). Use that approximation…

A: The given curve is x2y2=x+2y   To find the tangent line equation at point (0,0) Then, find the value…

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

A:

Q: ху 2x — 9 = 0; x = -3 =

A:

Q: d. To simplify calculations, a student uses a tangent line approximation to P(t) at 1=0 as a model…

A: (d)

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

A:

Q: Find the equation of the tangent line to the given function at z = a. w(2) = tan (3x) +x, a=0 3 !!

A:

Q: Find an equation of the tangent line to the graph of the function f defined by the given equation at…

A:

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: Folium of Descartes: x3 + y3- 6xy 0

A: It can be done by doing differentiating both sides with respect to x.

Q: Determine the slope of the tangent line, then find the equation of the tangent line at t = 4 8…

A: Given equation of curve is: x=8sint;y=cost Differentiating with respect to t we get,…

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

A:

Q: Find the tangent line of f(x) = V1+x at a = 0 and use it to give an approximation for V1.01

A: To find the tangent line of the below function at a = 0. fx=1+x3

Q: Use linear approximation, i.e. the tangent line, to approximate 2.8' as follows: Let f(x) = x". The…

A:

Q: Use Definition 3.2.3 to find f'(x) and then find the equation of the tangent oʻI+*p = o y = Vx+1, a…

A:

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

A:

Q: Find the point-slope equation for the tangent line to the following functions at the given points:…

A:

Q: in the form y = mx + b. Find the equation of the tangent line to the graph of f(x) = 7 sin(x) + 4…

A:

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

A: Given : y =3secx - 6cos(x)

Q: find an equation of the tangent plane at the given point. G(u,w) = sin(uw), ( π/6 , 1)

A: Given that: G(u,w)=sin(uw) Now, Find the partial derivatives of Gu(u,w)  and  Gw(u,w) at point π6,1.…

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

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: Use linear approximation to approximate √36.3 as follows Let ?(?) = √x. The equation of the tangent…

A:

Q: Given the function f(x)=−2xcos(x), find f′(x). Then find the equation of the tangent line at at the…

A:

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

A:

Q: Use linear approximation, i.e. the tangent line, to approximate 8.4 as follows: Let f(x)= V. The…

A: slope at a point is given by its derivative at that point.Equation of line can be found by slope and…

Q: Use the tangent equation. tollowing equation to find the approximation at Co,0): fCX.y)e Jy+ cos cx)…

A: The given function is: f(x,y)=y+cos2x

Q: Use linear approximation, i.e. the tangent line, to approximate 27.1 as follows: Let f(x)=x. The…

A: Our Aim is to find the approximation for 27.13 using linear approximationgiven that f(x)=x3.

Q: Find an equation of the tangent line for the following functions at the given points x-2 a. y= at a…

A:

Q: Use linear approximation, i.e. the tangent line, to approximate 27.1 as follows: Let f(x)=√x. The…

A:

Q: Find the equation of the tangent line to the curve y 8 sin r at the point The equation of this…

A: Given query is to find the equation of tangent line. Since slope of  tangent is given by derivative…

Q: Find the equation(s) of the tangent line(s) to the graph of the indicated equation at the point(s)…

A: We have to find

Q: Use linear approximation, i.e. the tangent line, to approximate 27.3 as follows: Let f(x) = Va. The…

A:

Q: Find an equation for the tangent line to the following curve, h(x) = 16x – 2 In x at the point where…

A:

Q: 3. Find y' and the equation of the tangent line to the graph of In(ay) = y²-1 at (1,1). 11: 11:

A: We have to find y' and equation of tangent

Q: Use linear approximation, i.e. the tangent line, to approximate 2.86³ as follows: Let f(æ) = x³. The…

A:

Q: Let f(x) = Vx. The equation of the tangent line to f(x) at = 1 can be written in the form y = mx + b…

A:

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…