a. Find the equation of the tangent line to f(x) = (93 + x)-1/2 at æ = 7 y = b. Use your answer to part (a) to estimate the value of (100.5)–1/2. (100.5)–1/2 - • Make sure that any decimal values entered are accurate to at least 6 decimal places.

Q: find the equation of the tangent line at x=-6 for f(x)=x^3/2. write the answer in the form y=mx+b

A:

Q: Find an equation of the tangent line to the given curve at the specified point. = (1, e) X y =

A:

Q: Find an equation of the tangent line to the graph of the function at the given point,

A: To find the slope we find y' at x=2 and y=1 so the slope is 2

Q: 16. Find the equation of the tangent line to the curve y = e* at the point (a, f(a)) when a = In 3.

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: 1. Determine the approximate slope of the tangent to the curve 2х-1 f(x) = at x = -3, to 1 decimal…

A: Given query is to find the slope of the tangent.

Q: 1. Find the slope of the tangent line for the following function at indicated point: x² – 1 S(x) =…

A: Given function: fx=x2-1x+1 Simplifying the function: fx=x2-1x+1       =x2-12x+1Using: a2-b2=a-ba+b…

Q: How do I do this?

A: We are given a function and at a point

Q: Find the slope of the tangent line to the graph of the function at the given point.    h(t) = t2 +…

A:

Q: Q1. Write down the linear (tangent line) approximation to y = e x / 2 at the point x = 0, and…

A:

Q: 4. Determine the point(s) at which the graph of f (x) = has a horizontal tangent. Simplify as much…

A:

Q: Provide the equation of the line tangent to the given function at the specified point g(x)=ln(x^2);…

A: Given : gx = lnx2

Q: Find the slope of the tangent line to the graph of the function at the given point.

A: The slope(m) of the tangent line to the curve is nothing but the derivative of the function at the…

Q: Find the slope, m, of the equation of the tangent line to the graph of y= (2x + 1)e* at the point…

A: derivative

Q: Find the slope of the tangent to the graph of the following function at the point (e^2,4). Give your…

A:

Q: Find an equation of the tangent line to the curve at the point (1, 1). y=ln(xe^x^9)  (e is raised…

A:

Q: Find an equation of the tangent line to the graph of the function at the given point f(x) = e−x ln…

A: we have to find the equation of the tangent line of the given function at the point (1,0)…

Q: Find the slope of the tangent line to the graph of the function at the given po y = e 5x y (0, 1) -2…

A: Given curve y=e-5x, point 0,1. Differentiation with respect to x we get…

Q: Compute f 1 (x) and find an equation of the tangent line to the graph at x = a. f (x) = x4 , a = 2

A: Consider the given function fx=x4  When x=2, then y=fx=24=16 Hence, point on the curve is 2, 16   To…

Q: Find an equation of the tangent to the curve  y= x ln x at the point (e ,e )

A: Given: y=xlnx, e,e for finding equation of tangent, we need slopem of tangent at given pointe,e we…

Q: Find an equation of the tangent line to the given curve at the point (e, 0). y = ln(ln x)

A:

Q: find an equation of the tangent line at the point indicated. s(t) = ln(8 − 4t), t = 1

A:

Q: Find an equation of the tangent line to the graph of the function at the given point.

A: We have given function  fx=e-xlnx Then, f'x=-e-xlnx+e-x1x=-e-xlnx+e-xx Therefore,…

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

A:

Q: Find an equation of the tangent line to the graph of y = x(x + 1) at the point (3, 3072).

A:

Q: Find the equation for the tangent line to the curve y = f(x) at the given x-value. f(x) = (4x + 5)5…

A: Given equation of curve is as below. To find the equation of tangent line to the curve f(x) at x =…

Q: Find an equation of the line tangent to the graph of f at the given point.

A: Solution:Given          f(x)=sec-1(ex);              (ln 2, π/3)To find the equation of the line…

Q: 1 14. Find the equation of the tangent line to f (x) at the point (a,f (a)) when a = 5. x+5

A:

Q: Find the equation of the tangent line to the following curve at the given point y = cosh(x) + e3when…

A: we have to find equation of the tangent

Q: What is the equation of the tangent line to graph of the function y = e^(3x) at the point (0,1)? O y…

A: The given function is y=e3x

Q: 2 Find an equation of the tangent line to the curve y at the point(0,1). (1+e¬x)

A:

Q: Find an equation of the tangent line to the graph of y = e−x2 at the point 4, 1/e^16

A: Given curve

Q: 8. Find the constant "k" such that the slope of the tangent to y = 12e-2.3x+k is equal to -4 at x =…

A: 8. Given Data: The equation of the line is: y=12e-2.3x+k The slope of the tangent to the given line…

Q: Find an equation of the tangent line to the graph of the function f(x) = e6x, at the given point (0,…

A:

Q: Produce the equation of the tangent line to the given curve at the specified point 2x^4+xy^2=11;…

A:

Q: e. Find the equation of tangent line to the cubic x³+ 6x² + 10x + 8 parallel to the l y = x .

A:

Q: Find an equation of the tangent line to the graph of  y = e−x^2 at the point (4, 1/e16).

A: Slope of tangent line is equal to value of the first derivative of y at given point.

Q: Find an equation of the tangent line to the graph of the function                    y = esinh x, at…

A: Slope of the tangent line is the derivative of the given curve at the given point. So…

Q: Find the slope of the tangent to Ax) = x²e* at the point (1, e). a) e b) 1 c) 3e d) 2 + e

A:

Q: Find the slope of the tangent line to the graph of the function at the given point.    f(t) = 3t −t2…

A:

Q: Determine the equation of the tangent line to x+1 22+1 at x = X= G

A: Given equation, y=x+1x2+1

Q: Find the equation of a curve passing through 1, if the slope of the tangent to the curve at 4 any…

A: The slope of a tangent line to a curve and point on that curve are given. From these information, we…

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: Find an equation of the tangent line to the graph of the function at the given point, y = e3x−x2,…

A: Given equation: y=e3x-x2 The equation of the tangent passing through the point x1,y1 on the curve…

Q: Find an equation of the tangent line to the graph of  y = e−x2  at the point (5, 1/e power of 25)

A:

Q: 2. If f (x) = e**, find the slope of the tangent line to f ~1 at x = 1. А. 1 D. 4 В. 1/2 С. 1/4 E. 2…

A: Here we have to find the inverse of the function and then we find the slope of the tangent line

Q: Find y' and the slope of the tangent line to the graph of the equation below at the indicated point.…

A:

Q: 2 2х + 2х +1 G(x) = Jsech(x) y e dy

A:

Q: The slope of the tangent line to the graph of y = e3 at x = In 2 is

A:

Q: Find an equation of the tangent line to the graph of y = e¯x- at the point ( 5, 25

A: given: y=e-x2; 5,1e25 we know that for finding equation of tangent at point5,1e25, we need to find…

Q: Find an equation of the tangent line to the graph of the function h(x) = −xe2−x, at the given point…

A: Slope of the tangent line is the derivative of the given curve at the given point. So…