79. 3x + 7y = 10y: (Xg, Yo) = (1, 1) 2- (1, 1)

Q: C. Find the slope and the equation of the tangent line to the curve. 1. у %3D х2- 4х + 1 at (2, -3)

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Q: Find the lines that are tangent and normal to the curve at the given point. x²y? = 100, (-2,5) The…

A: The given function is x2y2 = 100  at (-2,5)

Q: . Find the lines that are tangent and normal to the curve at the given point x² + y? = y* - 2x,…

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

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Q: 3(x2 + y2)2 = 100(x² – y2), (4, -2) y = Lemniscate y -4 -2 /6 (4, -2) -4 -6 2. 2.

A: This is related to equation of tangent to a curve

Q: Find the slope of the tangent line to the curve (a lemniscate) 2(2? + y?)? = 25(2² – y²) at the…

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Q: 6. Determine an equation of oNE of the two lines tangent to the curve x?y +2xy² = x + 6y, when x =…

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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: the followin X + 3 y = X - 4 Find the slope m of the tangent line at the point (3, -6). %3D

A: since there are multiple questions , first one is answered, step by step. Kindly resend for further…

Q: Find the lines that are tangent and normal to the curve at the given point. x²y? = 36, (1,6) %3D

A: We will find first slope of tangent and then from the slop and tangent and point will find a…

Q: Q3) Determine slope of a curve y = x + 2 at p(1,3) and q(3,11)

A: Slope of a curve : The slope of a curve y=f(x) at a point P is the slope of the tangent at that…

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

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Q: For what values of a and b is the line – 2x + y = b tangent to the curve y = ax? when x = 3? - - a =…

A: Given: To determine the values of a and b is the line -2x+y = b tangent to the curve y=ax2 when x =…

Q: verify that the given point is on the curve and findthe lines that are (a) tangent and (b) normal to…

A: Given curve is The point (-1,3) lies on the curve if it satisfies the equation of curve Therefore,…

Q: Q4 if xy-yx=6 is the equation of a curve, find the slope and the equation of the tangent line at the…

A: As per our guidelines we can solve only first question. Please repost the other questions that need…

Q: Find the lines that are tangent and normal to the curve at the given point. x²y? =9, (1,3) The line…

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Q: Find an eauation of the line that is tangent to the guaph f fand parallel to the given line Function…

A: Recall: Equation of the line is y-y1=m(x-x1); where 'm' is the slope.

Q: Find the slope of a line tangent to the curve of the given equation at the given point. y=(x^3)/4;…

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Q: B. Find the slope of the curve at the given point. 1.) y = x? – 5 at (1, -4) 2.) y = 3x? – 4 at (0,…

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Q: Q.4 If y-x' y = 8 is the equation of a curve, find the slope and the equation of the tangent line at…

A: Given that:           y3-x2y=8

Q: Find the equation of the line tangent or normal (as indicated) to the given curve with the given…

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Q: Differentiate implicitly to find the slope of the curve at the given point. y³ + yx2 + x² - 3y2 = 0;…

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Q: find equation for the lines that are tangent andnormal to the curve at the given point.xy + 2x - 5y…

A: Given : The equation is x y + 2x - 5y = 2 and point (3, 2).

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: verify that the given point is on the curve and find the lines that are (a) tangent and (b) normal…

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Q: Find an equation of the line tangent to the graph of y = at the point (4, 6/2). Answer: y = 이별

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Q: Find the slope of the curve at the given point: y = x(4x − 1)², (1, ²) -

A: Given query is to find the slope of the curve at given point.

Q: 13. Find the equation of the line with slope equal to 1 and normal to the curve x2 + 3xy +y? = 5 at…

A: GIVEN: curve is x2 + 3xy + y2 = 5

Q: 9. For which point(s) on the graph of f(x) = 5x is the slope of the tangent ? x+2 c. (3, 3) and (-7,…

A: Slope of tangent line of a function at any point is first derivative of function at that point.

Q: Q1) A- Write an equations for the normal lines on the circle tangent at (x= 1) with (r-10),c(0,0),

A: Given Center of circle c0,0radius r=10To calculate : Write an equation for the normal lines on the…

Q: A Moving to another question will save this response. uestion 4 What is the slope of the line…

A: Explained below

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: Verify that the given point is on the curve and find the lines that are a. tangent and b. normal to…

A: Substitute the point (-3,-1) in the given equation.

Q: Given that y" = 2x, find the value of y when x = 3 if the curve passes through the point (-1,); and…

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

A: Given: xy+2x-5y=2; 3,2 for finding equation of tangent, we need to find slopem1 of tangent  we know…

Q: Determine all values of x for which the slope of the line tangent to y=x³ - 4x² +9x-1 is 5.

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Q: Find the slope of the curve at the given point. y3= x3/2a-x   at (a,a)

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Q: Given the curve: xey + 2x - y² = 3.

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Q: At what point on the curve x = 3t2 + 4, y = t³ – 6 does the tangent line have slope ? (x, y) = ( 3,…

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Q: verify that the given point is on the curve and findthe lines that are (a) tangent and (b) normal to…

A: Now when x = 3, we get Therefore the point (3, -4) is on the given curve. a). Slope of the tangent…

Q: Determine the equation of the curve whose slope at any point is equal to and which passes through…

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Q: Differentiate implicitly to find the slope of the curve at the given point yA + x3 = y? + 12x; (0,…

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Q: Verify that the given point is on the curve and find the lines that are (a) tangent and (b) normal…

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Q: For what values of x do the tangents to the curves y = (1 +x')² and y = 2r6 have the same slope? X =…

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Q: 9. What is the slope of the curve at the given point? 5x? + 2xy – y = -3 at (,2)

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Q: Q3)A/ Find the cquations of all lines having slope-1 that are tangent to the curve y = 03)B/ Find…

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Q: (b) Determine the equation of the line normal to f(r) =r²- 4r +5 at z = 1., Hint 1: The normal line…

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Q: Find an equation for the tangent to the curve at the given point. y = x3/2 , (5, 62.5)

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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