At a particular point of the curve y = 2x2 -x+q, the equation of the tangent is y = 3x-5. [7 marks] 17. %3D Find the value of the constant q.

Q: (a) Find the slope of the tangent line to the function y 3+sec (x) at 1-sec (x) X = -. 4

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the slope of the tangent to the curve at the point specified. x² +y² = 9 at (0, 3) The slope is

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Q: For the function y = 5x2 + 4x + 2, at the point x = 5, find the following. (a) the slope of the…

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Q: For the function  y = (x2 + 2)(x3 − 9x),  at  (−3, 0)  find the following. (a) the slope of the…

A: (a) To find: The slope of the tangent line at -3,0. Given: The function is y=x2+2x3-9x. Concept…

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

A: Solution :-

Q: Find the slope of the tangent to the curve a+ 4xy+ y = 46 at (1,5). The slope is | (Enter undef if…

A: Topic = Derivative

Q: Use the graph to estimate the slope of the tangent line to y = xn at the point (1, 1). Verify your…

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Q: For f(x)=x5, the instantaneous rate of change is known to be 405 at x=-3. Find the equation of the…

A: y=fx=x5instantaneous have of change is known to be 405 ,or x = -3∴ y=f-3=-35=-243

Q: For f(x)=x5​, the instantaneous rate of change is known to be 5 at x=−1. Find the equation of the…

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Q: For the function P(x) = x3 − 7x, at the point (2, −6), find the following. (a) the slope of the…

A: Instantaneous rate of change of function is slope of tangent at any specific point

Q: Estimate the slope of the tangent line at the point t= -2 for f(t) = 6t-3 (Give answer as a…

A: The given function is f(t)=6t-3 at t=-2

Q: For what value of x is the tangent line to the curve y= x² - 6x +5 horizontal?

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Q: For the function y = 8x2 + 6x + 2, at the point x = 5, find the following. (a) the slope of the…

A: Given function is: y=8x2+6x+2 and the given point is x=5

Q: For the function P(x) = x3 – 8x, at the point (3, 3), find the following. (a) the slope of the…

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

A: Given y=x2-168ex Consider, fx=x2-168ex To find the points on the graph where the tangent line is…

Q: Q3: Find an equation for the tangent line to the curve y = etan x at the point where x = 0 (5 marks…

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Q: 3x+ Find an equation of tangent line to the curve: f(x) = EGL

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Use the graph to estimate the slope of the tangent line to y = xn at the point (1, 1). Verify your…

A: Use the graph to estimate the slope of the tangent line to y = xn at the point (1, 1). and to verify…

Q: For the function y = (x² + 4)(x - 9x), at (-3, 0) find the following. (a) the slope of the tangent…

A: Given:         y= (x2+ 4)(x3- 9x)

Q: Let f(x) = 6 - 3x + 5x2. (a) Find f'(a) (b) What is the instantaneous rate of change of f when x =…

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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: For the function y = 2x2 + 8x + 9, at the point x = 6, find the following. (a) the slope of the…

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Q: For the functiony = 8x2 + 6x + 5,at the pointx = 8,find the following.(a) the slope of the tangent…

A: Given a function y = 8x2+6x+5.For any funtion f(x) the slope of the tangent at point x=a is…

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Q: Differentiate the functions and find the slope of the tangent line at the given  value of the…

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Q: Find the equation of the tangent line to the curve y=4+e2sinx at the point (0,5).

A: our objective is to find the tangent line equation.

Q: For the function y = (x - 5)(x2 - 3x + 1) at (2, -3) find the following. %3D (a) the slope of the…

A: We have to find slope of tangent line and instantaneous rate for change..

Q: (2) At what point(s) will the tangent line to y = x? - 4x +3 be horizontal

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Q: For the function y= x^2+5/x+5 at (1,1), find the following. ( give exact answer. Do not round ) (A)…

A: Given: y=x2+5x+5 ; Px,y=1,1 (A). As we know that, the slope of the tangent line to the curve at a…

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

A: Instantaneous rate of change of f(x) at x=a is given by f'(a), where f'(x) is the first order…

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Q: Use the graph to estimate the slope of the tangent line to y = xn at the point (1, 1). Verify your…

A: Estimate the slope of the tangent line to y=x12 at the point (1, 1) and then verify the answer…

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

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Q: Find the slope of the tangent to the curve y2 ln(x) + x2y = 7 at (1, 7)

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Q: Find the slope of the tangent to the curve x^4+5xy+y^2=7 at (1,1). The slope is:

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Q: For the function  Y=(x^2-8x)/(x^2+7x) at (5, -1/4) find the following. (Give exact numbers. Do not…

A: Given data:   The given equation for the curve is y=(x2-8x)/(x2+7x). The given point is (x1,…

Q: For the function y = 2x2 + 7x + 9, at the point x = 7, find the following. (a) the slope of the…

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Q: If the instantaneous rate of change of f(x) at (9, -7) is 6, write the equation of the line tangent…

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Q: For the function  y = (x2 + 3)(x3 − 9x),  at  (−3, 0)  find the following. (a) the slope of the…

A: Given Data: Function: y = (x2 + 3)(x3 − 9x) Point: (x, y)=(-3, 0) (a) The derivative of the given…

Q: For the function  y = 6x2 + 5x + 1,  at the point  x = 5,  find the following. (a) the slope of…

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Q: Estimate the slope of the tangent line at the point t = -6, for f(t) = 4t – 2. (Give your answer as…

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Q: For the function y = (x2 + 4)(x - 4x), at (-2, 0) find the following. (a) the slope of the tangent…

A: Solution:-

Q: Find the smallest positive value for 0 for which the tangent line to the curve r = 4e".00 is…

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Q: Find the equation of tangent and equation of normal for the implicit function y² +4xy = x+y, at the…

A: We have to find the equation of the tangent and equation of the normal for the implicit function y2…

Q: Find the slope of the tangent line to the curve x+y3D6 xy at the point (3,3). (a) 0 (b) -1 (c) 1 (d)…

A: To find: slope of tangent line at the point (3,3) to the equation of curve given below.

Q: Find the slope of the tangent line to the curve - 4a? + 4xy – ly³ = - 9 at the point (2, 1).

A: NOTE: Refresh your page if you can't see any equations. .

Q: For the function y = (x2 + 2)(x3 - 9x), at (-3,0) find the following. (a) the slope of the tangent…

A: The given function is y=x2+2x3-9x. Differentiate fx with respect to x.…

Q: Estimate the slope of the tangent line at the point t = -5, for f(t) = 10t – 1. Give your answer as…

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Q: Find the value of x at which the tangent line to the curve y = passes through the origin. x+3

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