2. If a curve is defined by the equation y = 4 cos x + sin 2x, what is its slope when x = 2 radians? %3D

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A: Equation of tangent line : y - y0 = m ( x - x0) Here m is a slope .

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A: NOTE: Refresh your page if you can't see any equations. . here we have x=1 so the point on the…

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Q: Find the equation of the tangent line to the curve y = 3 sec(x) – 6 cos(x) at the - point (7/3, 3).…

A: Let y=mx+b  be the eq. of tangent line. Now, slope of tangent…

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Q: d). Find an equation of the tangent line to the graph of sin(x+ y)= y´ cos x at () and graph this…

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Q: Write an equation for the tangent line at the given poi 1) x? +y? = 4, (/2, 2) Ans. %3D 2) xy = -4,…

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Q: Use the guidelines of this section to sketch the curve.

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A: At any point (x,y) on a particular curve, the tangent line has a slope equalto 1+sinx-π2, the curve…

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Q: 53. What is the largest value possible for the slope of the curve y = sin (x/2)?

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A: We have to find

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A: we have to find the equation of tangent

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Q: at the point (3pi/4, -1/2) on y= sin(x)cos(x).  Find the slope of the tangent line.

A: Divide and multiply the given function y= sinxcosx by 2.

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: х? +x tan-1 y 3 у — 1, (-%, 1) y = y – 1,

A: Let's find.

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A: We can sole this as follows:

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A: Given: y=sinx2+cosx graph of given function can be drawn as below

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Q: 1. If Y= 4 cos x + sin 2x, what is the slope of the curve when x=2.

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Q: find the slope of the tangent line to curve r= 7+ 2 cos theta when theta = pi/6

A: Given,           The slope of the tangent line to curve r=7+2cosθ when θ=π6

Q: ya fix)

A: Since you have asked a question with multiple sub parts , we will solve the first three subparts for…

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Q: If y=4 cosx + sin 2x, what is the slope of the curve when x=2 radians? * O - 2.21 - 4.94 O - 3.25 O…

A: -4.94

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Q: Use the guidelines of this section to sketch the curve   y =sin x /( 1 + cos x )

A: Consider the curves: y=sinx1+cosx

Q: 20. r = 3 cos 0

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Q: find an equation for the tangent line to the graph of y=tan(14x^2) at x= sqrt of pi

A: To find the slope of the tangent we need dydx…

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