At the given point, find the slope of the curve, the line that is tangent to the curve, or the line that is normal to the curve, as requested. x 5y 5 = 32, normal at (2, 1) X y = O y = -2x + 5 O y = 2x - 3

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

A: Given To find the slope of the curve , take derivative Given point is (0,1)

Q: If f(z) 20x + 13, find the slope of the secant line between the values of a1 = 1 and x2 = 5. %3D

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Q: Differentiate implicitly to find the slope of the curve at the given point. y + yx? +x? - 3y? = 0;…

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

A: Given,          x=t2-4 , y=t3+6t , t=3To find: The equation of the tangent line.We know that,…

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A: Introduction: The tangent of the function of the form y=f(x) at a point a is derivative of this…

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Q: Find the slope of the line that is tangent to the graph of f(x) = x° + 2 x³ – x² + 2 at x = 1. а) О…

A: The objective is to find the slope of the line that is tangent to the graph of f(x) at x=1.

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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 curve x? – 3xy + y² – 4x + 2y + 1 = 0 at the point (1, -1). с. 1/3 d. 1/5 а.…

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

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Q: C. Find the slope and the equation of the tangent line to the 21 21 = 3x al 28. y=x²-3x+3 at (3, 3)…

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Q: At what point on the graph of y = is the tangent line parallel to the line 2x-4y = 3? (B) (5.) m…

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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: 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: At what point on the given curve is the tangent line parallel to the line 3x - y = 2? y = 2 + 2ex –…

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Q: Find the slope of the curve at the given point. 2y5+9x9=7y+4x at (1,1)

A: The given curve is,

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

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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: 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: c. Find the equations of the line tangent to the curve y = x³ + x, where the slope is equal to 4.

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A: Given the curve is  y=2x3-x2

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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: 7x Find the points on the graph y = x-2 - where the slope of the tangent line is parallel 28x +50y –…

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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: Solution:- The given curve is  x+xy=6  ......(1) and point (4,1) we have to find equation of the…

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Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: a) find the slope of curve at point P(1,-3).Find the derivative of the following function.

Q: Given the relation x² – xy + y³ = 11, determine the slope of the line tangent to the curve at (-1,…

A: Explanation of the answer is as follows

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…

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A: Given, x3+y3=6xy

Q: Find the slope of the curve at the given point.   9y^9+4x^7=7y+6x at ​ (1,1)

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Q: Find the slope of the line.  Rx + Sy=T

A: To find the slope of the line.

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Q: Let a, b, and c be constants. Find the equation of the line tangent to f(x) = (x − a)(x − b)(x − c)…

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Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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

A: Given y6+x3=y2+12x To find the slope of the curve , take derivative Given point is (0,1)