Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.) f(x) = sin , [0, 47] 2' 1) (x, y) = Describe the concavity of the graph of the function. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) concave upward concave downward

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A: To find: The equation of tangent to the curve and also find d2ydx2. Given: The functions are x=cos…

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A: Given     y=tan-1(sec(3x))+π(cot(2x)

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: f(x) = sin(x2)                                       [0,4π]f'(x) = 12cos (x2)f"(x)  =-14sin…

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A: y2=x3-4x

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A: Given : f(x) = xtanx

Q: Use Euler’s method to approximate the indicated function value to 3 decimal places, using h =   0.1.

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Q: The slope of the tangent to the curve r = 3 sin 40 at 0 = 0 is %3D Şelect one: O a. -1 3D1 O b. 0 C.…

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Q: X= cos t, y= sin t; t= 6

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Q: nd the equation of the tangent to the curve y = 2 sin x+ cos 2x at the point x= 7.

A: equation of line at point (a,b)  is given by    y-b = m (x-a)  Where m is the slope of tangent  As…

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Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

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Q: find an equation for the line tangent to the curve at the point defined by the given value of t.…

A: Tangent line for a curve at a point is a line which just touches it and is "parallel" to the curve…

Q: Q1 If z is a differentiable function of x and y which satisfy equation x3 + y3 + 3 x? siny tan z = 5…

A: The detailed solution is as follows below:

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Q: find the absolute extrema of thefunction on the closed interval. y=e^{x} \sin x,[0, \pi]

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A: Take derivative on both sides Take the constant 3 out from the function ,

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Q: Q4: Find an equation for the line tangent to the curve 2y cos x = 4x sin y , at the point where x =…

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Q: 2. Consider the squiggly graph of all points (r, y) that satisfy sin(re") = a + y. 1 Using implicit…

A: Given, sinxey=x+y

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A: The given function is y=3cos x on 0,2. Compute the critical points on the given interval as follows.…

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A: Given, Radius = r Area = A= pi*r^2

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Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

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Q: Q2- Find for the following function :- dx 1- y = sinh-(tan x) – tanh-1(sin x)

A: We will differentiate using direct formula and chain rule.

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A: 1.   2. slope of tangent is dy/dx.

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

A: Given,  x = t cost  y = t sint    We have to find the equation of the tangent at the point t = π.

Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

A: Given, To get the equation of the tangent line, finding slope is the first step. Here both x and y…

Q: Find the antiderivative of the function f(x) = - 4 sin (4x) when C = 0. The antiderivative is

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

A: Given that, x=tcost, y=tsint, t=π. Find the value of x and y by substituting the value of t in given…

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A: The arc length formula is given as

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Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

A: We need to find an equation for the tangent line to the curve at a given point of t. Also, we need…

Q: Q1- i) Show that cosh?x – sinh?x = 1 ii) Find the equation for the tangent line to the curve y = Vx…

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Q: At what value of x does the curve 1„2 sin y = 3y +x² + 4x have a horizontal tangent? (Supporting…

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Q: 5. For the function g(x) = sin(x), find all points – 1<c <1 where the MVT shows g(1) – g(-1) =…

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A: By definition, a function is a special case of a relation between the members of two sets. It is a…

Q: Please solve the Vƒ of the function below at point P. a) f = (x² + y² + 2)-05, P; (12,0, 16) b) f =…

A: a) The given function is f=x2+y2+z2-0.5. This gives ∂f∂x=-0.5 x2+y2+z2-0.5-1…