Directions: Find the equation of the tangent line to the function at x=a. 4. у %3D — Зx? + 7x+ 2 at x%3D1 5. у %3D 6х? + 7х — 1 at x %3D2

Q: Find dr when 5z? + 3z'y –- 3y* = 20. dy dz The slope of the tangent line to this curve at the point…

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Q: Which points on the curve of x^2-xy-y^2=5 have vertical tangent lines? A. (1,-2) B. (2,-1) and…

A: I have used the fact that slope of vertical tangent line is infinity

Q: Find an equation for the tangent line of y = e** that is parallel to the linear equation y 5x11.…

A: Find the equation for the tangent of y=e4x that is parallel  to equation y = 5x+11.

Q: Find the equation of the line that is tangent to the curve y = 4x cos x at the point (T, -47). The…

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Q: Please help me with this

A: Explanation of the answer is as follows

Q: 2(x² + y? )² = 25(x² – y²) at the point (3, 1). When the equation of this tangent line is written in…

A: Given that 2(x^2+y^2)^2=25(x^2-y^2) To find the equation of the tangent line

Q: Find an equation of the tangent line to the curve 2(z + y)² = 25(z² – ) (a lemniscate) at the point…

A: We have to  find

Q: For what value of x is the tangent line to the curve y= x2 – 6x+5 horizontal? A В -6 3 D -3 E none…

A: Given y=x2-6x+5

Q: C. Find the slope and the equation of the tangent line to the curve 1) у 3 2x? - Зх + 1 at (-1,6)…

A: Given that: 1. y=2x2-3x+1      at (-1, 6)2. y=x2+x+1           at (-2, 3)3. y=3x2-x+1      at (1, 3)…

Q: Find the equation of the tangent line to the curve (a lemniscate) 2(x^2+y^2)^2=25(x^2−y^2) at the…

A: Given: 2x2+y22=25x2-y2 at point -3,-1

Q: USE THE GRAPH TO ESTIMATE THE SLOPE OF THE TANGENT LINE AT THE POINT. VERIFY YOUR ANSWER…

A: " Since you have posted a two questions, we will solve first question for you. To get another…

Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the…

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Q: A) Find in terms of x and y dx B) Write the equation for the tangent line where x = 2 and y = 1.

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Q: In (r? – 3) + e?-² at the 1. Find an equation of the tangent line to the graph of y = point (2, 1).

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Q: Answer two only QI/ A) Determine the equation of the tangent line to the curve xsin(y)-xcos(y) 1 at…

A: Tangent line

Q: S ize Find an equation of the line tangent to the curve defined by x + 5xy + y² = 7 at the point (1,…

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Q: Find y' and the slope of the tangent line to the graph of (3x - 5y)5 = 2y2-9 at the point (3,2).…

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the given…

Q: Find the equation of the line that is tangent to the curve y = 6x cos x at the point (T, -6T). The…

A: Given curve is: y=6x cos x. We need to find tangent to y at (π, -6π)

Q: b) Find f(1) and find the equation of the tangent line at the point (1, f(1). c) Graph y = f(x) and…

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Q: x²-xy+y²=3, find y"

A: Given that a equation of x and y and we find y" or second derivative of y with respect to x. We know…

Q: b) Show that the equation of the tangent line to the x², y? Xox at (xo, Yo) is Yo.y + a² ellipse 31.…

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Q: C. Provide what is being asked. 1. Find an equation of the tangent line to the graph of y = x* – 3x²…

A: "Since you have asked multiple questions we will solve the first question for you. If you want any…

Q: Answer: 3. Let f(x) = (x³ - 2x)3. %3D (a) Find the slope of the tangent line to f(x) at r = -1.…

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

A: GivenParametric eqautionx=t-ty, y=g+t2, t=1To findEquation of tangent at t=1

Q: Find the equation of the tangent line to the curve y=3xcosx at the point (π,−3π)(π,−3π). The…

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Q: Find the equation of the tangent line to the curve y 3x cos x at the point (T, -37). || The equation…

A: Formula for finding the equation of a line having a slope of m and passing through the point (x1,y1)…

Q: Use the graph shown to estimate... a) 20 the slope of the secant of the curve between x =2 and x =…

A: The slope of a graph represents the rate of change of the output with respect to the change in…

Q: The point (1,3) is on the graph of x* . y? + 5 · y = x* + 23. Find the slope of the line tangent to…

A: Please follow the next step.

Q: (a) Find an equation of the tangent line to the curve y = 12x sin(x) at the point (T/2, 67).

A: Given equation of curve is as below: Equation of the tangent line to the curve y = f(x) at the…

Q: 3. CE Board May 2010 A curve has an equation of y? = 8x. Compute the equation of the tangent line at…

A: Given- y2=8x To find- The equation of the tangent line at 2,4. Concept Used- The equation of the…

Q: The slope of the tangent line to the graph of x + y + xy = 3 at (1, 1) is Blank 1. Blank 1 Add your…

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

Q: Find an equation of the tangent line to the graph at the given point. 3(x2 + y?)² = 100(x² – y²),…

A: Given that       the equation is 3(x2 + y2)2 = 100(x2 - y2) The point is (x1, y1) = (4, 2) We have…

Q: 2 at the point P(-1,1) 1-x Find the slope of the tangent to y= Answer:

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Q: Consider the following equation. y = 6ex + x Find y'(x). y'(x) = 6e + 1 Find an equation of the…

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Q: 3. Find the equation of the tangent line to the graph of the function at the given point. (a) #61. y…

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Q: Find the equation of the tangent line to the curve y = 2x cos x at the point (T, -27). The equation…

A: Using formula of equation of tangent.

Q: Find the equation of the tangent line to the curve y = x? – 12x + 23 that is parallel to the line 6x…

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Q: 2(x² + y? )° = 25(x² – y}) at the point (3, 1). When the equation of this tangent line is written in…

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Q: y=x^2+5  Determine at which point, (x,y), in which the graph has a horizontal tangent line.

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Q: H.W 2-Write the tangent line equation. (4) x-xy +y 7 P,(-1,2)

A: Explanation of the answer is as follows

Q: The slope of the tangent line to the graph of y =; I+1 when x = 1 is %3D %3D - 4 3/4 O 1 4. 1/2

A: y=xx+1 Slope of the tangent line is the derivative of the given function at the given point. So…

Q: A) Find an equation of the line tangent to the function of x? + (y - x)? = 9 atx = 1.

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Q: Find the equation of the line that is tangent to the curve y=3x cos x at the point (π,−3π).The…

A: Given that

Q: termine the equation of the curve whose tangent line at any point (x, y) i and passes A) y = e* +…

A: We are asked find the equation of the curve.

Q: fx=-3x^2/(5x+2) a) Find the equation of the tangent line to ff at (3,−27/17)(3,−27/17) y=? b)…

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: The given equation is x2+y2=2x2+2y2-x2,0,12. Differentiate with respect to x,…

Q: What is the value of the slope of the tangent line to the curve *²– 2xy – 2y=1 passing through the…

A: As we know that; The slope of the tangent line to the given curve is equal to the first derivative…

Q: Find an equation of the tangent line to the graph of y = e-x² at the point (5, y = 10e -25 + 51 Need…

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Q: Find an equation of the tangent line to the curve y² = x³(3 – x) (a piriform) at the point (2,2/2).…

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