4. Assume f and g are differentiable on their domains with h(r) = (f o g)(x). Suppose the equation of the line tangent to the graph of g at the point (4, 7) is 3r – 5 and the equation of the line tangent to the graph of f at (7,9) is -2r + 23. y- (a) Calculate h(4) and h'(4). (b) Determine an equation of the line tangent to the graph of h at the point on the graph where I = 4.

Q: 7. Find the slope of the tangent line to the graph at (1,1): x²y² – 9x² – 4y² = 0 %3D r-9r-4y = 0…

A: find the slope of the tangent line to the graph at 1,1; x2y2-9x2-4y2=0 differentiate the equation…

Q: Suppose that the line 2x + 3y = 5 is a tangent to the curve y = f (x) at x = 1. The value of f ‘(1)…

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Q: If the line y=x+4 is tangent to f(x)=ax2 +bx at the point (2,6), then a+b?

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Q: Find an equation of the tangent to the curve x = 5 + In t, y = t2 + 2 at the point (5, 3) by two…

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Q: #17 Find the equation of the tangent lines LiĦ to y=fCX)= r at x=0 and x=-1 7-3X 2

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Q: B. Find the general form of the equation of the tangent line to the given curve at the indicated…

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Q: 1. Find the equation of the tangent and normal line to the curve f(x) =x' - 3x +2 at (1, 0).

A: Given the function f(x) :

Q: Find the equation of the tangent line drawn to the curve y-4x-6xy 0 at the point (-1,3) O 6x+5y-21-0…

A: Given query is to find the equation of the tangent to the curve

Q: 7) What is the equation of the tangent line of f(x) = xe"+ 3, at x = 0 a) Y= x+3 b) Y= 3 c) Y=…

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Q: Find all the points on the curve x² y² + 2xy = 3 where the slope of the tangent is -1. O (1,1) O…

A: We have find possible point where the slope of the tangent is -1

Q: The equation of tangent line to the graph of 8x²+16y²=48 at (2,1) is A x- y - 3=0 x- y+3=0 c none of…

A: Slope of tangent line is y'

Q: 18- What is equation of the tangent line of ƒ(x)=x³- 2x² - 1 at the point x = 2 ? y=-2x+9 1903…

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Q: 1 Find an equation of the tangent to the curve f(x) = /x + 8 that has slope 4 %3D - OA. 1 y =7x-3 O…

A: Equation of the line in slope-point form is:        m = slope (x1, y1) = point on the line

Q: The slope of the tangent line to the curve y = 4/x at the point (3, 4/3) is: Must be written in y =…

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Q: 2 2 18. At how many points on the curve + yš =1 in the TY-plane does the curve have a tangent line…

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Q: Find an equation for the tangent line to the curve y = 4 at the point (3,16). X - 1 Oy - 16 = -3(x -…

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Q: 26. Find the equation of the tangent line to the curve h(x) = √3x − 1 at x = 3 3 A. y − 2 = ³/(x +…

A: 26.   The curve h(x)=3x-1 at x=53 Note:      Multiple questions are given, we are answer only one…

Q: 4 Let f(x) = 4x + x2 given by y = mx + b for . Then the equation of the tangent line to the graph of…

A: We know that if m is slope and (x1,y1) is point on line the equation of line is given as-  (y - y1 )…

Q: 11.What is the slope of the tangent line to the curve y = 3x? – 5 at poin - O A. -7 О в. -5 O C. -6…

A: Differential equation

Q: 1. Find the slope of the curve x+ y² -6x-4y-21 0 at (0, 7). Compute also the tangent line and normal…

A: ## According to bartleby guidelines we supposed to do first question of multiple questions so kindly…

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: d the equatiom of the tangent line to the curve xy – 7 = Vx + y² at the point (5,2).

A: For finding tangent line to the curve , find the derivative of the function and put the value of…

Q: 8. Find the point on the graph y = x³ where the tangent line is perpendicular to the line 3x +9y = 4

A: We have to find the point where tangent line is perpendicular to the line 3x+9y=4.

Q: 24)) Since the tangent of the curve y = x ^ 5 + ax - 3 at the point x = 1 is y = x -b, then b =?

A: Given that y=x-b is the tangent of the curve y=x5+ax-3 at the point x=1.

Q: 6. Find the equation of the tangent line to the parabola y 2.x2 – x + 3 at x = 2. %3D -

A: Equation of given parabola is, y = 2x2 - x + 3

Q: 6. Compute and write the slope of the tangent lines to dx y - xy +6 = 0 at the point (5,2). a. b. 2y…

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Q: Q2: The equation of the tangent line to the graph of y=1² and 1=4x² at t=lis (not that x is…

A: Topic:- application of derivatives Notes:- as per our guideline if more than one question uploaded…

Q: Find the slope of the line tangent to the x³ – 2x + 1 at x = 2 curve y %3D %3D O-10 O 1/10 O-1/10 O…

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Q: The tangent line to the curve ³ + y³ = 9xy at the point (4,2) intersects the y-axis at y = -1. -2.…

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Q: f (x+h)- f(x) 5x³-3x+4 Problem #1: Using lim,»0 Find the slope of the tangent line y = h 2x+7 at x =…

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Q: Find the equation of the line tangent to y 8xe" at x = 1. O y -8e = 16e(x – 1) O y - 8e = 8e(x – 1)…

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Q: If y-mx+B is thế équation of the tangent line to the curve X +2xy – y+ x = 39 at x=5 with a negative…

A: At x=5 we find y The points are (5, 1) and (5, 9)

Q: 3) Let x = t2 - 1 , and y = e2 . Find the tangent line to the point (0, 1) .

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Q: determine the constants a and b so that the line y = -3x + 4 is tangent to the graph y = ax^3 + bx…

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Q: 3. FIND THE SLOPE OF THE TANGENT LINE TO THE GRAPH OF 5x + 2xy + 4y² = 25 AT THE POINT (1,2).

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: What is the equation of the curve y = ax* + bx + cx² + dx + e tangent to y = 25x (2,14), to y = 2x +…

A: By verifying options and substitution of point (-1,11) it is verifying option C

Q: Find an equation of the line tangent to the level curve of the function x 3xy passing through the…

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Q: #4. Find the equations of the tangent lines to the relation 3y = x² - 4y when x 2.

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Q: Find the equation of a tangent line to the curve y= 2x3 - 3x² - 10x + 1 which is perpendicular to…

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Q: 2. The coordinates of the point where the curve y = Inx has a tangent with slope of e are: d. (e,-1)…

A: Slope is already given. And for slope we have to find dy/dx  and then simplify.

Q: Suppose f(5) = 2, f'(5) = 8, and g(x) = In [f(x)+4]. Find an %3D equation of the tangent line to…

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Q: 3. FIND THE SLOPE OF THE TANGENT LINE TO THE GRAPH OF 5x + 2xy + 4y² = = 25 AT THE POINT (1,2).

A: Given: 5x+2xy+4y2=25

Q: 8.2. Find an equation for the tangent line to this curve at (1, -1). 9. Suppose 4 x² + 9 y² = 36…

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Q: The line y = -4x +b is a tangent line to the curve 3y²r + sin(2y – 4) = /(2y) at (a, 2).

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Q: 7-The tangent of the curve x^2+y^2- 2XY3D0 at the point (1,1), is *

A: Given,           The curve is x2+y2-2xy=0 at the point 1,1.

Q: 1. Use implicit differentiation to find all points on the graph of y3 – 3y = 2² + 3r +2 at which the…

A: When tangent is vertical then slope of tangent not defined