Given that f(t)= 8(t - 6)-(1/2)    Can you help me find the equation for the tangent line of the graph if y=f(t) at the point (t,y) = (15 , 8/3)

Q: The line y = 3x + k is tangent to the curve y = x when k is equal to

A: Given,        The line y=3x+k is tangent to the curve y=x3

Q: . Find an equation of the tangent line y = e* that is parallel to the line x – 4y = 1.

A:

Q: Find the equation of the tangent line to the curve t(x) 16 4Vx at x = 4 O y=-2x-4 O y=-2x+4 O y=2x+4…

A:

Q: Determine the equation of the tangent line and the quadratic approximation to the function z = e2"…

A: Given function is: z=e2x To find the equation of the tangent at a point x=x0 to curve y=fx,…

Q: Find the equation of the tangent line to the curve t(x) 16 -4Vx at x = 4 %D O y=-2x-4 O y=2x-4 O…

A:

Q: ) Find the equation of the tangent line to f(x)= (36+2x2)-1/2 at x=0  y= (b) Use your answer to…

A: We use the fact that f(X) is approximately equals to f(a)+ f'(a)(x-a), which is tangent to line to…

Q: Let f(x) = 6x + 2 tangent line to the graph of f(x) at the point (0, – 3) is given by y = mx + b for…

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

Q: Find the equation of the tangent line to the curve x + y² = 4 where the slope of the curve is 1.…

A:

Q: Find the equation of the tangent line to the curve point (1,0). f(x) = x – e²²-1 at the

A:

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

A:

Q: Find the equation of the line tangent to the curve y=t-1 and x= 2t2 at t=2

A: Given: The curves are y = t -1 and x = 2t2 . The value of t = 2   To determine: The equation of the…

Q: What is the slope of the tangent line that touches the graph of In(y) +e-=3y– 4x at the point A В) з…

A: slope , m=dydx.

Q: Find an equation of the line tangent to f(x) = xcos x at x=-4. (Round coefficients to 3 decimal…

A:

Q: Find the equation of the tangent line to y = e-5t at t = 0. y =

A: Solution is given below:

Q: 3. Find the equation of the tangent to the curve y = (x - 2)√x² + 16 at X = 3.

A:

Q: Find the equation of the tangent line for x=t^3+1, y=t^2-t at t=1

A: x=t3+1  y=t2-t To be found - Tangent line equation at t=1

Q: Find the equation of the tangent line on the curve x2 + y2 + 2y=0 at (0, – 2). A y= - 2 B) y= - x…

A: In this question we have to find the equation of the tangent line on the given curve.

Q: Find the point on the curve y = x-11x+5 at which the tangent has the equati on y = x - 11.

A: We will find the  point on the curve at which the equation of tangent is given as following.

Q: Find an equation of the line tangent to f(x) at the point |3D 1+e

A: Find slope at given point and then use formula  to find tangent line

Q: The tangent line to the curve il me f(a) at 2 m 1 goes through the points y=f(x) x == and Find the…

A:

Q: Find an equation of the tangent line at a point (0, 0) on the curve x =t- 100, y = t2– 10t.

A:

Q: Find the equation of the tangent line to f-l x+4 at the point P (,0) for f(x) = 3x + 3

A: f(x)=(x+4)(3x+3)=x+13(x+1)+33(x+1)=13+1x+1 f'(x)=-1(x+1)2 f''(x)=2(x+1)3 the slope of the tangent at…

Q: Find the equation of the tangent line to the curve x =t2 -2, y =t³ -2t + 1 at the point t=2.

A:

Q: Find an equation of the tangent line to the curve at thegiven point  y =  e x  / x…

A: Given curve is y=exx To find: Equation of the tangent line to the curve at point (1,e). Solution:…

Q: Find the equation of the line tangent to the curve of x²y2 – xy + x = 1 at (1, 1).

A: Given: x2y2-xy+x=1 As we know that; The slope of the tangent line to the curve at a given point is…

Q: A) Find the equation of the tangent line to the curve x²y + xy2 = 6 at x = 1

A: Given: The equation of curve , x2y +xy2 =6,  x = 6 To find: The equation of tangent line to the…

Q: Find the equation of the line that is tangent to the curve r = x In y, x > 0, at the point (1,е).

A: Equation if the line (y - y1) = m(x -x1) D(uv) = uDv + vDu , where D is the differentiation of…

Q: 4. Find the equation of the tangent to the curve y = xe* at the point (1, e):

A:

Q: 8. Find the equation of the tangent line to the curve y = e* at the point (a, f (a)) when a = In 3.

A:

Q: Find the point (x,y), at which the graph of y = 8x+6x-3 has a horizontal tanger The function y= 8x…

A: Our Aim is to find the point (x,y) at which the graph of y=8x2+6x-3-(i)has a horizontal tangent.

Q: 1. For y-In2x, determine the equation of a tangent line parallel to 2x-3y+1=0.

A: We can answer first question as per the honor policy. Please resubmit other questions to know the…

Q: Find the point(s) on the graph of y = (x2 – 168)e where the tangent line is horizontal.

A:

Q: Find an equation of the tangent line to the graph of f(x) = e×/2 In(x) at its inflection point.…

A: The point of inflection is the point where the second order derivative of the function becomes zero.…

Q: 2) Find the equation of the tangent to f(z) = 3re² when x = 1

A: A detailed solution is given below.

Q: 4. Find the equation of the tangent line of the graph of f(x) = 12/T – 16 at the point where the…

A:

Q: Find the equation of the tangent line to y = e-9* at t = 0. y =

A:

Q: The equation of the tangent line of f(x) 3 e* at x = 0 is %3D y

A: We have to find the equation of the tangent line of the given function at the given point   The…

Q: Find an equation of the curve y = f(x) if y^n = 6x and the tangent line to the curve at (1, 2) is…

A:

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

A:

Q: Find a point on the graph where x = t² - 1, y = 2t has a vertical tangent.

A: For vertical tangents dx/dy=0

Q: Find the equation of the tangent line to the curve x=4+2t, y=1−t2 at the point t=1.

A: We need to find the equation of tangent line to the curve at point t=1

Q: The slope of the tangent to the curve y²x + y²a² = 6 at (2, 1) is A B) -1 в 14

A: We can find the slope of the tangent to the curve at the indicated point as below.

Q: - Find an equation of the tangent line to the curve sin(r+y) = 2y – 21 at the given point (-7, –x).

A:

Q: Find the equation of tangent line to curve x= t^(2)-2t and y=t^(2)+2t at the point t=2?

A:

Q: The gradient of the tangent to the curve = 4x + y at the point (0, 1) is D - 2

A:

Q: Find the equation of the tangent line to the curvef (x) = 2x³ 3. - x at x = 2. o T(x) = 14 – 23(x –…

A:

Q: Find

A:

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

A:

Q: Find the slope of the line tangent to the curve y =x-2x+ 1 at x 1 01 O 1/2 O 1/3 O 1/4

A:

Q: Find the tangent to y=x- 3Dx-x+13 at x=D4.

A: