Q: 2. Find the slope of the tangent line to the curve y = x3 – 2x + 1 at x = 1.
A: As we know that: The first derivative of the function at a point is equal to the slope of the…
Q: 7. Find the slope of the tangent line to the graph at (1,1): x²y² – 9x² – 4y² = 0 %3D r-9r-4y = 0…
A: find the slope of the tangent line to the graph at 1,1; x2y2-9x2-4y2=0 differentiate the equation…
Q: 4. Find the point(s) on the curve of y=,x+x+2for which the slope of the tangent line is zero. (5)
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Q: 2. Find the equation of the tangent line to the graph of y = 3cos 4x at x = 3
A: The equation of tangent line can be found by using the formula,y-y1=mx-x1Where, m=dydxx1
Q: 7. Find the slope of the tangent line to the curve 3x° + 2y° = 13xy at (2, 1). %3D
A: Given
Q: 2. Find the tangent lines to the curve y = x4 – 14x2 + 17x + 40 perpendicular to the line x = 7y +…
A: Given, y=x4-14x2+17x+40 Now differentiate with respect to x we get, dydx=4x3-28x+17 The tangent is…
Q: 2. Find the equation of the tangent line to the curve y = x² – 2x - 3 that is parallel to the line x…
A: Given: The tangent line to the curve y=x2-2x-3 is parallel to the line x+y=1. To Find: The equation…
Q: What is the slope of the tangent line that touches the graph of In y + e2=-1 = 3y – 4x at the point…
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Q: Find an equation of the tangent line to the curve y=2x2+3 that is parallel to the line 8x-y+3=0. а.…
A: Topic:- application of derivatives
Q: 4 Find all the points on the curve x2 + xy + y? = 3 where the tangent to the curve is a vertical…
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Q: 4. At what point on the graph of y =x2 is the tangent line parallel to the line 2x – 4y = 3?
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Q: 2- Find the equation of the tangent line to the curve 7xSin(3y) + 5y = 7 at y = C
A: Given problem:- Find the equation of the tangent line to the curve 7xSin(3y) + 5y = 7 at y = 0
Q: 1. Find the set of points in the curve y = where the tangent lines are horizontal. r²+1
A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…
Q: 4. Find the equation of the tangent line and normal line that passes through the circle (x – 2)² +…
A:
Q: 2. Find the equation of the tangent line to the curve y = x2 - 2x -3 that is parallel to the line x…
A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…
Q: 7. Find the points on the curve y ve y = -x where the tangent line is parallel to the line y=
A: According to Bartleby guidelines, we are supposed to do only one question. If you want more to be…
Q: 4. At what point on the graph of y = ÷x² is the tangent line parallel to the line 2x – 4y = 3? A.…
A:
Q: 7) Find an equation of the line tangent to the curve y = x+5 at x = 3. х-1
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Q: 2 2 18. At how many points on the curve + yš =1 in the TY-plane does the curve have a tangent line…
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Q: 2. Determine the x-coordinate of the points where the tangent to the curve y = (x – 2)²(x + 3) is…
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Q: #2. Find the slope of the tangent line to the curve at the indicated point: (a) x² +x°y² – y° =13 at…
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Q: 1) Find the equation of the tangent line to the curve: x* + xy – y = 7 at (3,2) %3D
A:
Q: a. Determine the points where the curve 4x + 5y - y = 6 has a vertical tangent line. b. Does the…
A: a) curve is 4x+5y2-y=6 Slope of tangent line is m=dydx Differentiate the above equation…
Q: At what points on the curve x2 +4y2-12=0 are tangent lines vertical?
A:
Q: 4. Consider the curve given by r³ + y³ = 9ry. Find the equation of the tangent line at (4,2).
A: To find the slope of the tangent we need dydx at (4,2)…
Q: 3. Find the equation of tangent line to the curve 2x – y + 3 = 0 x = t – 1, y = t³ + 1 parallel to…
A: Equation of tangent line is given by- y - y1 = m (x - x1)
Q: d the equatiom of the tangent line to the curve xy – 7 = Vx + y² at the point (5,2).
A: For finding tangent line to the curve , find the derivative of the function and put the value of…
Q: Show that the tangents to the curve y2 = 4px from any point on the line x = -p are perpendicular.
A: The given curve is,
Q: 8. Find the point on the graph y = x³ where the tangent line is perpendicular to the line 3x +9y = 4
A: We have to find the point where tangent line is perpendicular to the line 3x+9y=4.
Q: 24)) Since the tangent of the curve y = x ^ 5 + ax - 3 at the point x = 1 is y = x -b, then b =?
A: Given that y=x-b is the tangent of the curve y=x5+ax-3 at the point x=1.
Q: 8. Find the tangent lines to curve y = x* + 2x – 2x? – 3x + 3 that is perpendicular to line x- 3y =…
A: Given curve, y=x4+2x3-2x2-3x+3 And the line x-3y=2. The objective is to find the tangent lines to…
Q: 12. What is the equation of the tangent line to the curve y = x² – 2x + 1 at point (3,4)? a. у%3D 2х…
A: Since the student has mentioned to solve question numbers (12) and (13), but we can solve only one…
Q: Find an equation of the tangent line to the curve 2(a2 – y²)² = 25(x² + y²) at %3D (3, 1)
A:
Q: 2. Find the coordinates of the points on the curve y = r' - x² – x +1 where the tangent line is…
A: Solution:- step-by-step solution of above question is given below.. The given curve is y=x3-x2-x+1…
Q: determine the constants a and b so that the line y = -3x + 4 is tangent to the graph y = ax^3 + bx…
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Q: (2) At what point(s) will the tangent line to y = x² – 4x + 3 be horizontal?
A: "Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: 4. Find the point(s) on the graph of (x – 1)²+ (y +3)² = 16 where the tangents are horizontal.
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Q: 5. Find the equation of the tangent line to the curve y = x2 - 3x at the place where the parabola…
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Q: Find the slope of the tangent to the curve y = xcos 3x at x=
A:
Q: a. Determine the points where the curve 5x + 3y - y= 5 has a vertical tangent line. b. Does the…
A:
Q: 19. Find the lines that are (a) tangent and (b) normal to the curve y = x' at the point (1, 1).
A: Given curve: y=x3
Q: 1. Find the set of points in the curve y = A where the tangent lines are horizontal.
A: we have to find the set of points in the curve y=4xx2+1 where the tangent lines are horizontal. as…
Q: 3. Find the slope of the tangent line to r²e♥ + y²e² = 2e at (1,1).
A: Please see the answer below
Q: 2. The coordinates of the point where the curve y = Inx has a tangent with slope of e are: d. (e,-1)…
A: Slope is already given. And for slope we have to find dy/dx and then simplify.
Q: 3 Find the equation of the tangent line to the curve x*y – xy = –2 at the point (-1, –1
A: Given: x4y-xy3=-2 and the points are (-1,-1)
Q: 9. Find the point on the graph of y = x² where the tangent line is parallel to the line 3x – 4y = 4.
A:
Q: Find the point on the curve y=/2 for which the tangent ine to the curve is perpendicular to the line…
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Q: 2. Find the slope of the tangent line to the curve y? + yx² + x² – 3y? = 0 at the point (0, 3).
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Q: 2. Find the equation of the line that is tangent to the curve y 3 + 3y = x 2 at the point (2, 1).
A: Find the equation of the line that is tangent to the curve y3 + 3y = x2 at the point (2,1).
Q: 6. Given the curve y = x/x at what point on the curve is the tangent parallel to the line 4x – y + 6…
A: We will use differentiation and slope of line to solve this.
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