Determine the equation of the tangent to y = (x – 7)(x+2) at the point P(-1,-8). Answer:

Q: find the equation of the tangent line at x=-6 for f(x)=x^3/2. write the answer in the form y=mx+b

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Q: Find the slope of the tangent line to the curve a? – 2xy + 2y° - 63 at the point ( – 3, – 3).

A: Given : x2 - 2xy + 2y3 = -63

Q: Find the equation of the line tangent to the curve y = 3x?(x² – 6x) at x = 2.

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Q: 3. Find the equation of the tangent line to the graph of x²y? + 9xy = 162 at the point (-3, 6).

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Q: Find the slope of the tangent line to the curve - 3a? + xy + 3y³ = 45 at the point (– 3, 3).

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Q: Q3:-Find the equation of the line tangent to the curve the point (-1,2) (y = 2x?) at

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

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Q: Find the slope of the tangent line to the curve - læ? 3xy – 4y 144 at the point (3, 3). Ouoction ||

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Q: Determine an equation of the line tangent to the curve at the given point. 4x² + 4xy + 3y 51, (3,1)

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Q: Find the equation of the line tangent to the curve y=t-1 and x= 2t2 at t=2

A: Given: The curves are y = t -1 and x = 2t2 . The value of t = 2   To determine: The equation of the…

Q: Find the equation of the tangent to the curve y= 3x' – 4x² +2x–10 at the points where the curve cuts…

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Q: What is the equation of the line tangent to the graph of y = 2x³/2 at the origin? Oy=0 Oy = 2r Oy =…

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Q: Find the equation for the tangent to the curve y= exp 5x] at the f(x) = exp [5x?] The equation for…

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Q: Find the equation of the tangent to y = 1 + 2x + 3x*4 at the point with x -coordinate 1

A: Find the derivative of y = 1 + 2x + 3x4                                y' = 2 = 12x3

Q: Find the equation of the tangent line to the curve y? = xy + 6a? at the point (1, -2).

A: Given The curve y2 = x3y+6x2 and the point (1, -2)

Q: Find the equation of the tangent line at x = 2 for f(x) = 4+x-2x²-3x³. Write the answer in the form…

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Q: Find the slope of the tangent line to the curve - 2x2 + 3xy + 4y° 3 242 at the point (- 1, 4).

A: Given curve is -2x2+3xy+4y3=242. To find: Slope of the tangent line to the given curve at the point…

Q: Find the equations of the tangent lines x = t3 − 6t, y = t2 at the point where the curve crosses…

A: To find the equations of the tangent linesx=t3-6t,y=t2 at the point where the curve crosses itself.…

Q: Find the equation of the tangent to the curve r = θ when θ = π/2

A: Given problem:- Find the equation of the tangent to the curve r = θ when θ = π/2

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line.…

A: Given equation of a graph is 4x2+y2-8x+4y+4=0 Since we need to find the points where the tangent to…

Q: Find the equation of the tangent line to the graph of f (x) = Vx + 169 at the point (0, 13). Answer…

A: We havve to find the equation of the tangent line to the graph off(x) = x+169 at the point (0,13).

Q: If f(x) = 9x^2 - x^3, find f'(1) and use it to find an equation of the tangent line to the curve y =…

A: Consider the given curve fx=9x2-x3

Q: c. Find the equation of the tangent line to the curve x-t²-2t, y3t²+2t at the point t=2.

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Find the equation of the line tangent to the curve 3t2 + 8,y = 8t + 3 at t = 2

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Q: Find an equation of the tangent line to the curve at x=0. Write in slope intercept form, y=mx+b…

A: We plug x=0 in the given equation to find the y at x=0 So, the point is (0,1)

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

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Q: Find the points on the curve y = 2r3 – 3x2 – 12x + 20 - where the tangent is parallel to the x-axis.

A: A straight line parallel to x-axis have slope 0.

Q: This is the equation of the line tangent to the graph of * y = x2 + 3 at x = –1

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Q: Find an equation of the tangent line to the graph of y = x³ – 3x – 1 at the point (2, 1). 09x - 2y -…

A: 1.y=x3-3x-1 at the point (2,1)2.y=logx2e

Q: Find the equation of the tangent to the graph at the indicated point. f(x) = x2 – 5x; a = -2 y =

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Q: Find the slope of the tangent line to the curve - 2? + 4xy – 4y° = 44 at the point (– 2, – 2).

A: On solving this we will get

Q: Find an equation for the line tangent to the graph of  F(x)=6xe^x at the point (a,f(a)) for a =3…

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Q: Find an equation for the line tangent to the graph of f(x)=4xe^x at the point (a,f (a)) for a=3…

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Q: find the equation of the tangent to the curve y=3x(squared)-8x+1 at the point where x=1

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Q: Find the equation of the line tangent to the curve x = 3t2 + 8 , y = 8t + 3 at t = 2

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Q: Find an equation for the line tangent to the graph of f(x)=−2xe^x at the point (a,f(a)) for a=2.…

A: Find the derivative for f (x). Find f’(x) at x = 2.

Q: Find the slope of the tangent line to the graph of the function at the given point. 4x? + 3y² = 36…

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Q: Find the equation of the tangent and length of the tangent to the curve y= x2+1 at (1,2)

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Q: Find the slope of the tangent line to the curve - l2? - 3xy + 4y = 288 | at the point (- 4, 4).

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Q: Find the slope of the tangent line to the curve - l2? – 2ay + 4y³ = - 249 at the point (1, – 4).

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Q: ) Find an equation of the line tangent to the curve y = x²e²-3 at a = 3.

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Q: Find the equation for the tangent to the curve y = exp [2x] at the point (9, e 162). f(x) = exp [2x]

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Q: Find the slope of the tangent line to the curve - 6y3 – 42?y? = 2 at the point (1, – 1)

A: We have to find slope of the tangent line to the curve -6y3-4x2y2=2 at the point 1,-1

Q: Find a point on the graph where x = t² - 1, y = 2t has a vertical tangent.

A: For vertical tangents dx/dy=0

Q: Find an equation of the tangent line to the curve c(t) = (5t2 - 6, 4t2 - 16t) at t = 2.

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Q: Determine the equation of the tangent to the graph of the equation xy – 2x'y-3ry + 5y – 4 = 0 at the…

A: To find the equation of tangent to the given equation at (1,2).

Q: Find the equation of a tangent line that is tangent to the graph as stated below 3x 5y = -17 at (-1…

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Q: Q5. Find the slope of the tangent to the curve Xy+x-y37+x at the point (1, 2).

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Q: Find an equation for the line tangent to the graph of at the point (a, f(a)) for a = = 2. y = f(x) =…

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Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.