Select all that is true: If the slope of the tangent line to a given curve is given by where and are some functions of and dy dx " p(x, y) q (x, y) Р Whenever dy/dx is 0 9 x Y then where is the tangent line vertical? Whenever dy/dx is undefined Whenever p(x,y) is not 0 and q(x,y)=0 Whenever p(x,y)=0 and q(x,y) doesn't equal O

Q: What is the slope of the tangent line to the curve given by x=sin(y) at the point (0, 37)? O-1 O 1 O…

A: Given x= sin (y). Slope of tangent line is  = dx/dy Differentiation of sine is cos .

Q: 2. Find the slope of the tangent line to rJī+ yJF = 10 at (1,8).

A: We use implicit differentiation with product rule

Q: Which of the following are the tangent lines perpendicular to y = x, to the curve x + y² = 8? Oy=x+8…

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Q: 1) Given the curve 2x? + y3 = x3 + y? find the x-intercept of the tangent line at the point (2,1)

A: We find dy/dx using the implicit differentiation and we plug x=2 and y=1

Q: 2 Estimate the value of the slope of the tangent line to the curve The point P(1, 2) lies on the…

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Q: 3) Find all points (x, y) on the graph of x2/3+y²/3 = 8 where the tangent lines have slope –1.

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Q: Find the equation of the tangent line to the curve 2y? + xy = 5 – 2x², at the point (1;1).

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Q: (a) Find the slope of the curve at point P and write the equation of tangent line at point P. 2x2…

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Q: 6. Compute and write the slope of the tangent lines to dx y - xy +6 = 0 at the point (5,2). a. b. 2y…

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Q: The slope of the tangent line to the curve y = 3 3 at the point (5,2) is: X -

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Q: Use Part 2 of the Fundamental Theorem of Calculus to decide if the definite integral exists and…

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