10. Di's velocity, in miles per hour, t minutes after entering the interstate highway is given by 3 3 t² -t + 60 20 v(t) = 200 t< 30 What was Di's average velocity from the interval t = 5 min to t = 25 min?

Q: f(x)

A: We will find the equation of tangent.

Q: 9) Find the equation of the tangent line to the function f(x)=-3x² - 2x at the point where x=1. Give…

A:

Q: 4. Determine an equation for the tangent line to g(x) = 3 csc(x) – 2 at a = T/4.

A: Solution :-

Q: 3. What is the slope of the tangent line to y = 4* at x = 0?

A:

Q: If tangent line to y=f(x) at the point (4,3) also passes through the point (0,2), what is the value…

A: Given: If tangent line to y=f(x) at the point (4,3) also passes through the point (0,2) To find: The…

Q: 2. Determine the equation of the line perpendicular to the tangent line to the function f(x) = e' at…

A: We will find the equation of the line.

Q: 4. Find the equation of the tangent line to the function y= In(x* -2) when x=3.

A:

Q: 4. Find an equation of the line tangent to g(x) = 3x² - x +1 at x= 1.

A: Given function

Q: Find the exact length of the curve  y = ln(sec(x)), 0 is less than/equal to x is less than/equal to…

A:

Q: 9. Find all the x-values on the curve where the tangent line is horizontal Y = 2x°(x- 3)°

A:

Q: 1) Find the slope of the line tangent to the curve y = sin x at the point where x=r/3

A:

Q: 14. Find the equation of the line tangent to the graph of f(x) = 2x3-x + 1 at x = -1. %3D

A:

Q: 10. (a) Find an equation for the line tangent to f(x) = x³ + 4x² at the point x = 1.

A:

Q: 4) Estimate the instantaneous rate of change of function f(x) = x + 5x' +2 at x = -3 b) Determine…

A: Given that fx=x4+5x3+2First, we will find the instantaneous rate of change of the functionat x=-3.

Q: 3. For the fiunction g(x) = x - 2x² –1, at what tangent point(s) is the instantaneous rate of change…

A: given function :

Q: 5) Find an equation to the line tangent to y = (x +3)³ at x = -3.

A: as per bartleby guidelines  i can do only first question. please ask other question seperately.

Q: If the instantaneous rate of change of g(x) at (-1, -2) is 1/2, write the equation of the line…

A:

Q: 4. Find the equation of the tangent line to g(x) 8 at x = 3 |x²–1

A: The function is given by gx = 8x2-13 To evaluate: The equation of the tangent line to the graph of…

Q: If the instantaneous rate of change of g(x) at (−1, −3) is 1/2, write the equation of the line…

A: Slope of tangent line is ½. So the equation is of the form:

Q: 9) If f(x)= x' – 3x, find the equation of the tangent line at x = 2.

A:

Q: 4. Find the equation of the tangent line to the curve y = 4+ e2 sin at the point (0, 5).

A: First find the slope at given point with the help of derivative than write the equation of tangent…

Q: etanx -25ınttanx=0

A: tanx-2sinxtanx=0

Q: For f(x)=x^4, the instantaneous rate of change is known to be -4 at x=-1. Find the equation of the…

A: Given that: *The function f(x) is f(x)=x4. *The instantaneous rate of change is the slope of the…

Q: 3. Find an equation of the tangent line to the curve at x=4 y=(sqrt(x)) / (x+6)

A: Given equation of the curve y = xx+6  ...............(1) Let the equation of the tangent at (x1, y1)…

Q: Give an equation for the tangent line to the graph of y = k(x) at the point when x = 2.

A:

Q: A line with slope m passes through the origin and is tangent to the graph of y = ln x. What is the…

A: Let the point of contact is (h,ln(h)) We find the slope of the tangent using dy/dx

Q: 4) Find the equation of the line tangent to h(x) = (2-x)(x³ +4x-4) at x=1.

A:

Q: Find the equation of the tangent line to y = 5e* at x = 2. (Use symbolic notation and fractions…

A: the given function is y = 5ex at x =2, y = 5*e2= 36.945 point is (2, 36.945)

Q: 7. Determine the equation of the tangent to the function E-2 f(x)=- at x= 1.

A:

Q: 5-Find the equation of the tangent to the function y = sin x at x = n/4

A: Given :y = sinx

Q: 7. Find the equation of a line tangent to the graph of f (x) = cotx at x = T/4. Show all steps

A:

Q: 4. Find the equation of the tangent to h(x) = x´sin(2x) at x = 1 [no unit circle needed]

A:

Q: 1. If f(x) = (2x)cosx, then f'(x) =?

A: Dear student as per our rule in one session we can only solve one question please post the other…

Q: 12. The slope of the curve y = x2 - e-* at its point of int A. -In 2 В. C. 2+In 4 D.

A: Given query is to find the the slope at inflection point.

Q: 6. Find an equation of the tangent line to y = f(x) : = tan¬(2x) at x = 7

A: Given,

Q: 2. A vehicle starts from rest and its velocity is 8.0 measured every seconds for 8 seconds, with…

A: In this question, the concept of the Simpson Rule is applied. Simpson Rule ∫abfxdx≈h3∑j=1n2…

Q: Suppose the line y = 6x - 4 is tangent to the curve y = f(x) when x= 2. If Newton's method is used…

A: According to Newton's method, if the first root is considered to be x1 then the root of the function…

Q: The equation of tangent line to y =2rsinx at the point (T) is : Select one: a. y=2x O by=-2x+27 O…

A:

Q: 2/ Find the equation of the tangent line at (0,0) to fex) = xex хе 2 -X

A: Given f(x)=xe-x2y=xe-x2Differentiate…

Q: 12) Find the equation of the line tangent to g(x) = (3x + 11)ex-4 at x = 4.

A: ddxuv=vddxu-uddxvv2

Q: 5. Find the slope of the tangent line to the graph of r = 2-2cos e when 0 = に一2

A: We have given equation of graph r=2-2cosθ  We have to find slope of the tangent line to the graph…

Q: The x value(s) of the point(s) where the tangent line(s) to the curve y = ³ - 6x that have a slope…

A: Here we have to find the value of x.

Q: -1 Where on the curve Y (1+ x2)¯ does the tangent line have the greatest slope? NOTE: Enter the…

A: Given:- y = (1+x2)-1 To find:- Point where tangent line on given have greatest slope

Q: 4. If f (2) = 3 and f'(2) = 5, find an equation of the tangent line at the point where x=2.

A: We have to find the equation of tangent.

Q: 4. Find the equation for the tangent line to the graph of y = VT at a = 2. Remember to keep every…

A:

Q: 5) Find an equation to the line tangent to y= (x + 3)³ at x =-3.

A:

Q: 9. Suppose that the tangent line to the graph of f(x) = xb) at x=1 is equal to the tangent line to…

A:

Q: 6. Find the equation of the tangent line to the curve y = e when it is parallel to 2x- y=7.

A:

Q: Suppose the line y= 7x - 1 is tangent to the curve y= f(x) when x = -8. If Newton's method is used…

A:

Q: 4) Determine the equation of the tangent line to y=3x -5x² +10 at x= 1

A: The given equation is; y = 3x4 - 5x2 + 10  at x = 1