Suppose the line tangent to the graph of f at x 3 is y 6x 5 and suppose y 2x - 2 is the line tangent to the graph of g at x 3. Find an equation of the line tangent to the following curves at x- 3. a. y f(x) g(x) b. y f(x)-2gx) c. y 3f(x) a. The line tangent to y = f(x) + g(x) at x = 3 is y = |

Q: C. If h(x) = [f(x)]² + g(x),what is the equation of the line tangent to the graph of h at x = -2?…

A: First we will find derivative of h(x) at x=(-2) that gives the slope of the required tangent.

Q: Given the function f(x)=x^3+9x^2+19x+4, determine all coordinate points (x,y) on the graph of f such…

A: Differentiate the given function and equate to -5 and find coordinate points.

Q: (3) Find the equation of the line tangent to f(x) = 2x³ - 2x2 +1 at x = 1. [Hint: f'(a) is the slope…

A: We find the slope of f(x) at x=1 by finding f'(1)

Q: Find an equation for the line tangent to the graph of the given function at the indicated point. x2…

A:

Q: Find the x-coordinate(s) of the point(s) at which the graph of g(x)=(2x-1)(x^2 +3) has a tangent…

A: Solution:- Step-by-step solution of the above question is given below. The given graph is…

Q: Find an equation of the line tangent to the graph of G(x) = 4 e - 7x at the point (0,4).

A:

Q: 2. Let f(æ) = 2e* – 3x² /a, whose graph is given to the right. Sketch in the tangent lines to f(x)…

A: Graphed the tangents using a graphing calculator.

Q: Find an equation of the line tangent to the given curve at a. y = x3 – 4x2 + 2x – 1; a = 2

A: Slope m of the tangent will be given by dydx Therefore, dydx=ddxx3-4x2+2x-1 ⇒dydx=3x2-8x+x…

Q: Suppose the line tangent to the graph of f at x = 4 is y = 6x +5 and suppose y = 5x-1 is the line…

A:

Q: Assume y = 3 · 5* is the equation for the blue line shown in the graph below, and that the black…

A: The equation of curve is:  y=3·5x

Q: (i) Find the values of k for which y= kx + 2 is a tangent to the curve y= 4x2+ 2x + 3.

A: If y = kx +2 is tangent to the curve y=4x2+2x+3, then the point of intersection of the line and the…

Q: 19. Find the equation for the line tangent to the given curve y f(x) at the point P. (a) f(x) =…

A: Given, f(x)= 2x²+5x-10 P=(x,y)=(1,-3)

Q: Find the equation of the line tangent to the graph of the function at the indicated point…

A:

Q: Given that f(4) = -8 and f'(4) = –6 , find an equation for the tangent line to the graph of y = f(x)…

A:

Q: It is given to you that an equation of the tangent line to the graph of y=g(x) at x=16 is 2x+9y=−4…

A: Equation of the tangent line to the curve y = g(x) at x = 16 is To find Part (a) Equation of…

Q: Given that f(−2)=−8f(−2)=−8 and f′(−2)=−7f′(−2)=−7, find an equation for the tangent line to the…

A: Given : f(-2) = -8, f'(-2) = -7   To find the equation of the tangent line to the graph of y= f(x)…

Q: Find the equation of the tangents to the graph y = x^3 + 3x^2 - 15x -20 at Ox-y-9=0 O9x-y-48 = 0 O9y…

A:

Q: For f(x)=1/4+x2​, the slope of the graph of y=f(x) is known to be − 2/25 at the point with​…

A: The function is f(x)=14+x2Slope is -225x-coordinate is 1

Q: Here I need to find the equation of the line tangent to the graph of h(t)= (t^3)/((t^2)-1) at t =…

A: Consider the given function: h(t)=t3t2-1h(-1)=-13-12-1=Not Defined So the point where tangent is…

Q: Find h'(-2) if h =fog, f(x) = 6x² - 1 and the equation of the tangent line of g at -2 is y = -2x +…

A:

Q: It is given to you that an equation of the tangent line to the graph of y = g(x) at x = 9 is 7x +…

A: 7x+12y=-21 is the tangent to the graph of y=g(x) So, at x=9 the y value of the tangent will give…

Q: Suppose the line tangent to the graph of f at x = 4 is y = 5x +3 and suppose y = 3x - 5 is the line…

A:

Q: Given that f(3) = -1 and f'(3) = 5, find an equation for the tangent line to the graph of y = f(x)…

A:

Q: If given f(3) = -1 and f'(3)=5, the tangent line to the graph y = f(x) at x=3 is y = 5x +16. (a)…

A: This question is based on finding tangent equation at a point on function.

Q: Find the value of 'a' for which the tangent to the curve f(x) = (a + 2) x³ − 3ax² +9ax - 1 never…

A:

Q: The equation of the tangent to the curve f(x)=x3−6 which is parallel to −2y+54x−3=0 is...

A:

Q: 1. Find the equation of a curve that passes through the origin and satisfies (1 + x²)y' + 2xy = 4x²

A: Given differential equation is  1+x2dydx+2xy=4x2 Simplify the given differential equation we get…

Q: 2 For the graph of f(x) = ax + bx +4, the slope of the tangent at the point (3, 1) is 5. Determine…

A: Given that        f(x) = ax2+bx+4

Q: 9. Find the points on the graph y = х-2 7x - where the slope of the tangent line is parallel to 28х…

A: Given-  Consider the graph y=7xx-2. To Find- The points on the above graph , where the slope of the…

Q: Suppose the line tangent to the graph of f at x = 3 is y = 2x +4 and suppose y = 5x - 2 is the line…

A: Given the line tangent to the graph of f at x=3 is y=2x+4 and y=5x-2 is the line tangent to the…

Q: Find an equation for the tangent to the curve at the given point. y = x2 - 4, (2,0) О А. у32х- 8 В.…

A:

Q: 1. Find the equation of a curve that passes through the origin and satisfies (1+x²)y' + 2xy 4x2

A: To find the equation of the curve

Q: Find the equation of a tangent line to the graph of the function g(x)=2x−x2g(x)=2x−x2 that is…

A:

Q: Given that f(-8) = 2 and f '(-8)  = 3, find an equation for the tangent line to the graph of y =…

A: Given that f-8=2

Q: If f'(4)= 6 and g'(4)=3, then the slope of the tangent line to the graph of y=2f(x)-5g(x) at x=4 is…

A:

Q: If y = x* - 4x° - 8x², the points at which the tangent to the curve is parallel to the x-axis are A.…

A:

Q: Find the values of a and b for the curve x2 y + ay2= b if the point (1,1) is on its graph and the…

A: Find the slope of tangent line

Q: Find an equation of the tangent line to the graph of y = B(x) at x = 24 if B(24) = −1 and B ′(24) =…

A: Given thaty=B24 x=24y=B24 =-1B'24 =-14To :find equation of tangent line Solution :equation of line…

Q: For what value(s) of x does the graph of 1 f(x) = – x² +3 have a .2 - horizontal tangent?

A:

Q: The graph of y = fx) and the tangent to the curve at x = 1 is shown below. ..... 5 3 y - f(x) -1 0.

A: Consider the given figure.

Q: Find the values of a and b for the curve x2y +ay2 = b if the point (2, 2) is on its graph and the…

A:

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

A: By using slope formula and equation of tangent line, we find the required equation of tangent line.

Q: At what point (s) is the tangent line to the curve y²=2x³ perpendicular to the line 4x-3y+1=0

A: Given y2=2x3⇒ y=2x3

Q: Find an equation of a line tangent to the graph of h(x) =s at x-2 y=6x+13 O у-бx+13 y=6x+12 O…

A:

Q: Find the values of a and b for the curve x²y+ay²=b if the point (1,1) is on its graph and the…

A: It is given that, x2y+ay2=b   ...(1)and4x+3y=7    ...(2) Here equation 2 represent a tangent line…

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

A: use property of chain rule to find the slope and equation of tangent line

Q: It is given to you that an equation of the tangent line to the graph of y=g(x) at x=25 is 4x+6y=70…

A:

Q: please help

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Q: Does the graph of S0, x< 0 U(x) = 1, x2 0 have a vertical tangent line at the point (0, 1)? your…

A: