Determine the equation of the function y =a sin b(x-c)+d, where a <0 whose graph is shown below. (1. 4) 4 3 2- 1- 2 3 -1 2 (o ) 13 (0.-4) (2. -4)

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 3 if g(3) = -5 and g'(3) = 2.…

A: Here, y = g(x)  and g(3) = -5 i.e. when x1 = 3, then  y1 = -5 and g(3)=2 i.e. At x =3, the slope, m…

Q: 7. An equation of the line tangent to the graph of ƒ at the point (2, 7)is y = 4x - 1. Find ƒ(2) and…

A: Given function is fxequation of the tangent line y=4x-1tangent of the graph 'f'=dfdx=y=4x-1  ∴…

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = In x;…

A: Determine the derivative for f(x). fx=lnx5f'x=ddxlnx5=ddx5lnx5×ddxx5=1x5×5x4=5xSo, f'x=5x

Q: Find an equation for the tangent line to the graph of the given function at ( – 5,32). - f(x)=x² +7…

A: Given query is to find equation of the tangent line.

Q: 1.)  r= (3cot42θ-4)2/3

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Q: An equation of the line tangent to the graph of f(x) = x(1-2x)3 at the point (1,-1) is A. y = -7x+ 6…

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Q: 5x Find the equation of the tangent line of the function eb-y at the point (2, 10). (y – 5) = 5(x –…

A: WE HAVE TO FIND THE EQUATION OF THE TANGENT LINE OF GIVEN FUNCTION AT (2,10)

Q: For an unknown function y = g(x), we do know that g(7) = -2 and g'(7) = 4. Write down the equation…

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Q: 20. Find the point on the curve y= /x that is closest to the point (3, 0).

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Q: h (x) = [ƒ (x)P + g (x), what is the equation of the line tangent to the graph of h at x=-1?

A: Given,           hx=fx2+gx

Q: B) Find all of the second derivatives for f(x, y) = (3xy2 + 2xy + x²) In; x²+y² itable graph and…

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Q: Find an equation of the tangent line to the graph of y = g(x) at x = 6 if g(6) = -4 and g' (6) = 3.…

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Q: 3 Find the equation of the tangent line to f- at the point P (-3, 1) for f(x) = :-1 %3D 1- 2x…

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Q: Find an equation of the curve whose tangent line has a slope of f'(x) = 3x 10/11 given that the…

A: Given is derivative of f(x) we find f(x) so we integrate it.

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 2 if g(2) = -6 and g'(2) = 4.…

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Q: 16. Find the equation of the line tangent to the function f(x) --3a +4, at r = 0. Show all work. %3!

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Q: Find an equation of the tangent line to the graph of y = g(x) at x= 2 if g(2) = -4 and g'(2) == 5.…

A: Known fact: The equation of line with slope m and passing through x1, y1 is given by y-y1=mx-x1.

Q: 2. (6 marks) Find the slope of the line tangent to f: y = 2/5x + 1 at the point (3,8). c) - D) E) -…

A: Answer and explanation is given below..

Q: A) Find an equation of the line tangent to the function of x2 + (y- x)2 = 9 at x = 1. %3D

A: Given, The function  x2+y-x2 = 9  We have to find the equation of the tangent line to function at x…

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 3 if g(3) = -2 and g'(3) = 6.…

A: we are given y=g(x),g(3)=-2,g'(3)=6

Q: find an equation of the Tangen line to the graph of y = e^-x^2 at the point  (2, 1/e^4)

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Q: Find the derivative. 4 Find dw (w + 3) Select one: A. 40w (w2 + 3)6 В. - 40w (w2 + 3,6 O C. (w? + 3)…

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Q: 2- [10 points] Find the derivative dy/dx if y=3x +(5x ) (A) y=3°x +375 x² (B) y=3°*. 5 n 3+375x? (C)…

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Q: Find a function of the form y = Asin(kx) + C or y = A cos(kx) + C whose graph matches this one: 4+ 2…

A: From the given figure, it is observed that the The maximum point on the graph is at -1, that is, y…

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 4 if g(4) = -3 and g'(4) = 5.…

A: y=g(x) and g(4)=-3 , g'(4)=5 we have to find the tangent line of the given function y=f(x)

Q: 1 Find an equation for the line tangent to the graph of y=2 tan at the point (3,1/8).

A:

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

A: Consider the following equation of curve: y=x3+4x2 Substitute x=1 in the above equation:…

Q: The graph of y = f(x) has a y – intercept of 3 and the tangent line at the point (x, y) has a x-…

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Q: Draw simple graphs of the first and second derivatives of the function y = f(x) whose graph is given…

A: Given,

Q: The graph of y = f(x) (solid) and its tangent line at ( – 5, – 3) (dashed) is shown. - 10+ 7- 6+ 2-…

A: Graph of the function and its tangent line is given, we have to find the required values

Q: Find y' and the slope of the tangent line to the graph of (2x-3y)4 = 3y3-8 at the point (2,2). y'=0…

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Q: 2 points . this function u = x2 + y? is harmonic? True False

A:

Q: 3. A function is defined by the equation y = V3x + 4, where does the slope of the tangent line equal…

A: Given,           A function is defined by the equation y=3x+4 and the slope of the tangent line…

Q: x +2 1. Determine the value of f- -dx using method of substitution 2 1X +4 x+7

A:

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 4 if g(4) = -8 and g'(4) = 71.…

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Q: 7. An equation of the line tangent to the graph of f at the point (2, 7) is y = 4x – 1. Find f(2)…

A: Topic - point of tangent To the curve and slope of tangent to the curve

Q: FIND THE DERIVATIVE OF THE FUNCTION DESCRIBED. (25 1. y (x2- 1) (2x+1) 2. y 2x2 (4x² + 3x- 5) 3 y +1…

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Q: 4. The graph of the first derivative f'(x) of a functionf is shown below. At what values of x does f…

A: Given graph of f'(x) is The value of x where f'(x)=0 are called as critical values where extrema…

Q: 1. Find the equation of the tangent line to the graph f(x) = 2x² + 5 at P(-1,7) 2. Find the equation…

A: The solution to given questions is explained below.

Q: Find the equation of the tangent line to the graph of the function at the indicated coordinates. 1.…

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Q: 12. Given the point ( 2, 1) on a tangent line to the curve f(x) = x² – 2x + 5 find the point(s)…

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Q: 1. Find the equation of the tangent line to the graph f(x) = 2x² + 5 at P(-1,7) 2. Find the equation…

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Q: 4. Find the values of x for which the line tangent to the graph of f(x) = 4x? - 8x + 4 has a tangent…

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Q: Sketch the graph of y = -3 sin(x) on the axes below. 4 3 2 -7/2 7/2 37/2 27 -1 -2 -3 -4

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Q: 4. Determine lim 3x +x?. *--2 а. 10 с. 6. b. -2 d. -4 dy 5. Determine the derivative for y = 2x' -…

A: Dear student policy is to answer first one only yet I answering first three  for you kindly repost…

Q: Consider the graph of the functiony=3⋅4^x.Find the equation of the line tangent to the graph of y at…

A: Obtain the slope of the tangent line at the point x = 0.5 as follows.

Q: 2л 5T Find the new function if y = 5 cos x+: is moved - units to the right and -units downward. 3 4

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Q: Find an equation of the tangent line to the graph of y = g(x) at x = 4 if g(4) = -6 and g'(4) = 5.…

A:

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 4 if g(4) = -6 and g'(4) = 3.…

A: The tangent line is a Straight line which is a tangent to the curve at the point. The point here…

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

A: 1)y=f(x)=x+2 y'=1 At (6,4), y-y1=m(x-x1) y-4=1(x-6) x-y-2=0 2) y=f(x)=x-2 y'=1 At (6,4),…