Find the lines that are tangent and normal to the curve at the given point.   y=4sin(πx+​y), (​−1​,0​)

Q: The curve y = ax2 + bx + c passes through the point (2, 32) and is tangent to the line  at the…

A: Given curve: y = ax2 + bx + c passes through (2,32) and  (0,0) line at the origin is tangent to the…

Q: how do you use values of x to find slope of the secant line?

A: Obtain the slope of the secant line as

Q: Find an equation of the straight line having slope 1/6 that is tangent to the curve y=√x+5.

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Q: Determine the equation of the line that is tangent to y= ex / x2 at x=2.

A: The given function is, y=exx2 To find the line that is tangent to y=exx2 at x=2.

Q: Find the points on the curve  y = 2x3 + 3x2 − 12x + 5  where the tangent line is horizontal. (x,…

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Q: How do you find a tangent line of a circle Equation: (x - 3)2 + (y - 5)2 = 5 Point: (4,7)

A: solution:- Given                x-32+y-52=5                 point  4,7The above lies on the…

Q: Find the point(s) on the graph y = x3 where the line through the point (4, 0) is tangent to y.

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Q: C. Find the slope and the equation of the tangent line to the curve. 23. y 2x−x+2 at (-1,5) 24.…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 3. Find the tangent lines and normal lines to the curve y = x4 - 4x3 + 6x2 – 4x + 3 with slope…

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Q: At the given point, find the slope of the curve or the line that is tangent to the curve, as…

A: Given y5+x3=y2+12x  This is an implicit function.We need to find the slope of given curve at (0,1)

Q: Find the slope of the tangent line to the curve (a lemniscate) 2(2 + y²)° at the point (- 3, - 1) 2.…

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Q: Sketch the graphs of y = x2 and y = −x2 + 6x − 5, and sketch the two lines that are tangent to both…

A: Given y=x2........... (1) and  y=-x2+6x-5 ..... (2) Sketch the graph using equation 1 and 2  Here…

Q: Find the point on the graph of y = x3 such that the tangent at the point is parallel to the line y –…

A: Consider a graph: y=x3……1   Equation of line parallel to the tangent of above equation is:…

Q: Find the distance from the point Q to the line ℓ.

A: Given: Q=0, 1, 0, l with equation xyz=111+t-203.

Q: find equations for the lines that are tangent,and the lines that are normal, to the curve at the…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Use implicit differenriation to find the slope of the line tangent to the curve, xy2+2x2-y=0 at the…

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Q: ind the curve that has slope (x+1)^2 and that passes through the point (−2 8)

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Q: Find the points on the curve  y = 2x3 + 3x2 − 12x + 5  where the tangent line is horizontal. (x,…

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Q: find the slope of the tangent to the curve y^2 + x^3+4=0 at (-2,2). Then find the slope of the line…

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Q: Find the point of the porabola y=x²-4x+3 where the tangent is parallel to the line 3x+y=2. Determine…

A: topic- equation of tangent line parallel to given line

Q: Find the equation of the tangent line to the circle x^2 +y^2 =1 13 at the point ( 1/2 , (√3)/2 )…

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Q: Find values of a and c such that the tangent to y = ax2 + 12x + c is horizontal at the point (2,5)

A: Tangent is horizontal where derivative is zero

Q: Find the slope of the tangent line using the Definition of a Tangent Line for: Y= x + 5X at the…

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Q: At what point(s) on the curve x = 9t2 + 5, y = t³ - 2 does the tangent line have slope (х, у)…

A: Given: Given curve is  x=9t2+5, y=t3-2,    dydx=12

Q: A curve like Y = is called a serpentine. 1+2x2 3 n equation of the tangent line to this curve at the…

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Q: B. Find the slope and the equation of the tangent line to the curve 1. y = 4 - 3x at (- 1, 1) 2. y =…

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Q: Determine the equations of the tangent and normal line to the circle at each given point. 2 + y = 36…

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Q: nd the point (both x and y coordinates) where the tangen

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Q: Find an equation of the tangent line to the curve at the given point. y = 2x3 − x2 + 8,  (2, 20)

A: Given, The equation of a curve is y = 2x3 − x2 + 8 at  point (2, 20)

Q: Try to find the slope of the tangent to the circle x²+y²=5. at the point (-2, 1) Show solution

A: tangent

Q: Find the equation of line tangent the circle x ^ 2 + y ^ 2 = 25 at point at (3, - 4)

A: Differentiate the equation and get slope of tangent at (3,-4) ddxx2+y2=ddx252×3+2×-4×dydx=0dydx=34

Q: What would the slope of the tangent line be at the point 3,3 on the folium of Descartes x^3+y^3=6xy…

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Q: 5 Find the equation of line tangent the circle x+y = 25 at point (3, -4). .2 %3D

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Q: Find equations of all lines having slope -1 that are tangent to the curve y = 1/(x - 1).

A: Given, y=1x-1 Slope,m=-1

Q: 13. 8.5 cm 4 cm

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Q: Find the points on the curve y = tan x, -π/2 < x < π/2, where the normal line is parallel to…

A: Given, To find Find the points on the curvey = tan x, -π/2 < x < π/2, where the normal line is…

Q: Find the equation of the line that is tangent to this cardioid at the point (–112, 15) answer in…

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Q: Sketch the curve f(x,y) = c together with Vf and the tangent line at the given point. Then write an…

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Q: Find the equations of all lines through the origin that are tangent to the curve y = x³ – 6x2 – 2x.…

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Q: Find the slope m of the tangent to the curve  y = 3/sqrtX  at the point where x = a > 0. m = ?

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Q: Sketch the curve f(x,y) = c together with Vf and the tangent line at the given point. Then write an…

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Q: Find the slope of the curve, equations of the tangent and normal lines to the given point. y = x3 –…

A: We have to solve the problem

Q: Find the equation of the tangent line to the curve y=xlnx that is parallel to the line Y=1+3x.

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Q: What is the slope of AC in right triangle ABC shown in the standard (x, y) coordinate plane above?

A: Given,         A right triangle ABC is shown below :

Q: A straight trail with uniform inclining leads from a hotel, elevation 5000ft to a lake in a valley,…

A: Grade= 100* tan x where, tan x = (elevation of hotel - elevation of lake)/(length of trail)…