a. Find the equation of the line tangent to the following curve at the given value of x. b. Use a graphing utility to plot the curve and the tangent line. y=4 sin x cOS x; x =

Q: (vii) 5.001 = mpQ (viii) 5.0001 MpQ = (b) Using the results of part (a), guess the value of the…

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Q: 3. For each of the following find Equation of the line tangent of y at the vlaue x. Then sketch the…

A: Topic: Function and trigonometry

Q: Function Point h(t) sin t + et %D 7 7

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Q: At what points on the curve y=cot x is the tangent line parallel to the line y=-x ? Choose the…

A: Given that: y=cotx

Q: Question 1 The slope of the tangent line to the curve C at the point (1, 2) is (A 4 -2 C) 2 D -4 B

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Q: Find the equation of the tangent line to the curve y = 6 sin a at the point (, 3). The equation of…

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Q: the equation of the tangent line to the curve y = 4 sin x at the point equation of this tangent line…

A: We are asked to find the tangent line of the curve.

Q: A graphing calculator is recommended. Let y = 6x sin(x). 3n (a) Find an equation of the tangent line…

A: Given :

Q: Find the points on the given curve where the tangent line is horizontal or vertical.horizontal or…

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Q: Question 7 Find an equation for the tangent plane to the curve given by r(u, v) = u²i – v²j+ (u² –…

A: Equation of tangent plane of a surface at point a,b,c is given by n^x-ai^+y-bj^+z-ck^=0 where n^is…

Q: Question 9 Find the equation of the tangent to y = xvx at the point where x = 4 -8 -6 2-

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Q: Question 8. Find an equation of the tangent line to the graph of y = x² +1 at the point (2, 5).

A: given function is y=x2+1 point is (2,5).

Q: Solve the following. Show the step-by-step solution. 1. Find the equation of the tangent line and…

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Q: Find an equation to the tangent line to the graph of ?(?) = tan7(?) when ? =4?/5. Round coefficients…

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Q: Question 19 Find the equation of the tangent line to the curve at the point (0, 0). Oz+y=1 O-x+y=0…

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Q: Find the points on the given curve where the tangent line is horizontal or vertical. (Assume 0 ≤ θ ≤…

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Q: In the diagram, AB and BC are both tangent to P. Determine the value of X.

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Q: In y = A tan x, |A| is the factor by which the basic tangent graph will be __________or __________…

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Q: Find the exact length of the curve. Use a graph to determine the parameter interval. cos?(0/2) r =

A: Consider the given curve  r=cos2θ2 Now, draw the graph of the curve From the figure, it is complete…

Q: Determine the slope of the tangent line, then find the equation of the tangent line at t = 4 8…

A: Given equation of curve is: x=8sint;y=cost Differentiating with respect to t we get,…

Q: Question 12 Find the slope of the tangent line to y = at X = 1 3 - х

A: The given curve is y=23-x, x=1 Differentiate the curve with respect to x      dydx = ddx23-x       =…

Q: Find all points on the curve y = cot x, 0 < x < p, where the tangent line is parallel to the…

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Q: Find the equation of the tangent line to ?(?)=3√x at x=216 Use your answer to part (a) to estimate…

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Q: Consider the following. Function Point (-플) f(x) = tan? x 4 (a) Find an equation of the tangent line…

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Q: Determine the slope of the tangent line, then find the equation of the tangent line at t I = 4…

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Q: Question 15 Determine the equation of the curve whose tangent line at any point (x.y) is e* – sin x…

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Q: Find equations for the tan-gent and normal lines to the curve y = 1 + cos x at the point (pai/2, 1).…

A: Given curve is,

Q: Given the function f(x)=−2xcos(x), find f′(x). Then find the equation of the tangent line at at the…

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Q: If h(x) = 4 – 2*, find h'(1). Use this to find the equation of the tangent line to the curve y = 4 –…

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Q: find an equation for (a) the tangent line to the curve at P and (b) the horizontal tangent line to…

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Q: please help me with this

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

A: Given data is: x=sint , y=csct  and t=-π6

Q: Find the equation of the line tangent to the graph of y=tanx at the following values of x a) x=0…

A: y =tanxa dydx = sec2xx=0 = 1        (0,0) ∴ Equation of line tangent         (y-0) = 1(x-0)     y=x…

Q: Question 4. the curve Find the equation of the tangent line to y = xV7 at r = 1.

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Q: Find all points on the curve y = cot x, 0 < x < π where the tangent line is parallel to the…

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Q: For the graph of g(x) = 3* cos(x), which of the following numbers is closest to the slope of the…

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Q: Consider the following. Function Point (÷) f(x) = tan? (a) Find an equation of the tangent line to…

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Q: Find the equation of the tangent line to the curve y 8 sin r at the point The equation of this…

A: Given query is to find the equation of tangent line. Since slope of  tangent is given by derivative…

Q: QUESTION 2 Find an equation of the tangent to the curve at the point corresponding to the given…

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Q: If PQ and PR are tangent to OE in the given figure, find the value of x.

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Q: Determine the slope of the tangent line, then find the equation of the tangent line at t=pi/6.…

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Q: Find an equation for the line tangent to the graph of y = tan at the point (4,1/12). What is the…

A: The given graph and the point is

Q: Find an equation for the line tangent to the graph of y = , tan (x) at the point (1,7/ 12). What is…

A: The explanation of answer as follows :-

Q: (b) Using the results of part (a), guess the value of the slope m of the tangent line to the curve…

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Q: IN QUESTION 6, WRITE AN EQUATION OF THE TANGENT LINE TO THE CURVE AT THE GIVEN POINT. 6. f(x) = Vx +…

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Q: Which of the following is a tangent? А. FA B. DC C. DC D. FC E B. C.

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Q: Find y' and then find the slope of the tangent line at (4, 1849). Round the slope and y-intercept to…

A: Explained below

Q: Find the equation of the line tangent to the graph of y = sin r at the following values of x. NOTE:…

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