Determine the family of curves such that at each point the slope is given by 2xy^2

Q: Determine the slope of the tangent to √1-x at the point (-8, 3).

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Q: Estimate the slope of the tangent to the function… at the point of abscissa -3 and then determine…

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Q: Does the graph ofhave a vertical tangent at the point (0, 1)? Give reasons for your

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Q: Determine the point on the curve where the slope of tangent line to the curve is -3 or 0

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Q: The line whose slope is -3 is tangent to the curve y = x² + 3x + 2 at the point 0 (-3, 2) 0 (3, 2) 0…

A: We will solve the problem.

Q: A line with a positive slope is parallel to one of th below.

A: From the graph of positive slope line, at x=0 , y= 3 at x = 4 , y = 4

Q: find the slope of the tangent line f(x)=9x-2x^2 at(-3,-45)

A: Slope of the tangent line is the derivative of the given curve at the given point. So…

Q: Estimate the slope (slope = rise/run) of the tangent line to the curve.

A: answer is in next step . please give a like !!

Q: Find the slope and y-intercept of the line through the point (9,5) that cuts off the least area from…

A: Equation of line : Y - y = m(X-x) If this passes through point(9,5) Y-5 = m(X-9) Y = m(X-9)+5 X…

Q: The Gateway Arch in Saint Louis is modeled by the curve: y = 210 − 20 cosh ( x/30) . At what height…

A: yx = Height of the Gateway archyx = 210 - 20coshx30         Blue curve---------------------formulae…

Q: Find the equation of the line tangent to the given curve with the given slope. y=x^2-7x, with…

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Q: Find the slope of the tangent line that passes through point (1, 2) to the graph 8y³ + x²y O-2/97…

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Q: Find the area of a triangle bounded by the y axis, the line f(x) = 5 - -2, and the line 4…

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Q: Find an eqaution of the tangent line to the curve at the given point. y = 4x - 3x2, (2,-4)

A: The given function is y=4x-3x2 and the point is 2,-4

Q: Explain how to write an equation of the tangent line to the graph of f(x) = x2 at (2, 4).

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Q: Describe the tangent line at an arbitrary point on the graph of y = 2x + 8

A: we have to describe the tangent line at an arbitrary point on the graph of y=2x+8

Q: There is a line through the origin that divides the region bounded by the parabola y = 4x – the…

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Q: The slope of the tangent line to the graph of the function y = 9/ – 2 at (4, 16) is - -5.00 2.25…

A: To find the slope of the tangent line for the given function at (4,16)

Q: 9). Find the curve whose slope at any point is 3x – 5 that passes through point (5,3).

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Q: Find the tangent and normal lines to the curve ペー9ーチ at the Pomt (-62)

A: Given, The equation of the curve  x2-xy+y2 = 7  We have to find the equation of tangent and normal…

Q: (8 points) Find the slope of the line tangent to the graph of 1 f (x) = 2x* – 32x + 17x2 – 9x + 4 at…

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Q: Find the slope and y-intercept of the line through the point (4,10) that cuts off the least area…

A: We have to Find the slope and y-intercept.

Q: What is the slope of the tangent line to the graph of f(x) =x² - 6x +2 at the point (3, -7)?

A: Given- fx=x2-6x+2 To Find- The slope of the tangent line at the point 3,-7.

Q: Find the slope of the tangent line at (8, -8).

A: Given- Point 8,-8. To Find- The slope of the tangent line at the given point. Identity Used- tanθ=yx

Q: There is a line through the origin that divides the region bounded by the parabola y = 4x – axis…

A: Solution

Q: Determine an equation of the line tangent to the curve Y = 5x-4 at the point with x- coordinate 4.

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Q: Show that there are no tangents to the curve f(x) = 6x3 + 2x2 that have a slope of -5.   Please…

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Q: The tangent line to the curve y = x3 - 6x2 - 34x - 9 has slope 2 at two points on the curve. Find…

A: Given,  The tangent line to the curve y=x3-6x2-34x-9 has Slope=2 at two points on the curve.…

Q: In the qiven question , estimate the slope of the graph at the points (x1, y1 ) and ( x2, y2 ). see…

A: According to the given information, it is required to determine the slope of the graph at the given…

Q: Describe how to find the slope of the tangent line to the graph of a function at a point.

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Q: Let y=4x4 + x. At what point is the tangent line to the graph perpendicular to the linet tangent to…

A: if line L1 having slope m1 and line L2 having slope m2 are perpendicular then m1m2=-1

Q: Draw the graph x2+y2=8, and the tangent line at (√3, √5), please write the equation for tangent line

A: Tangent equation.

Q: Find the equation of the tangent line that passes through point (1,2) to the graph 8y3 + x2y - x =…

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Q: Find the slope of the tangent line to the curve defined by 4x² + 5xy + 3yª = 98 at the point (-5,…

A: Given equation of the curve is 4x2+5xy+3y4=98.

Q: Please provide an example of real life computation and application of slope of a tangent line

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Q: Find the slope of the tangent lines on the curve y = 6x^3 +24x^2 -39x -43 at poins (-5, 2) and (1/3,…

A: We know that, The slope of the tangent line to the curve at a given point Px1,y1 is equal to the…

Q: compute the instantaneous slope at: (-4, 8) • Start with two points A : (-4,8) and B: (-4 + h, ?)…

A: Given the function f(x)=18x2+x+10We have to find instanteneous slope at (-4,8)

Q: Find the slope of a line that is tanget to f(x)= sqrt(x+1) at the point (8,3).

A: Given: The slope of the line at point (8,3) is given by

Q: There is a line through the origin that divides the region bounded by the parabola y = 7x – 2x and…

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Q: Express the length l of a chord of a circle of radius 8 as a function of its distance x from the…

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Q: Show that the curve y =6x3 +5x -3 has no tangentline with slope 4.

A: Consider the following equation of curve: y=6x3+5x-3 Differentiate y with respect to x:…

Q: Find the function whose tangent line slope is 3 and whose graph passes through (1,-1)

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Q: What point on the curve y = x is closest to the point (5, 0)?

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Q: What is the slope of the line tangent to the curve 8x3-y2=4

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Q: Find the equation of the family of curves whose slope at any point (x,y) is   2. x/y

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Q: Determine the slope of the tangent line to the graph of ƒ (x) =- at the point(4, -4).

A: Use differentiation for finding the slope.

Q: Find the differentual equatrion characterizing the family of curves described

A: Given that: ky=x2

Q: Find the slope of the curve y² = 3x + 1 at the point (- ,0). Draw the graph of the curve.

A: y2=3x+1 Differentiating with respect to x, we get 2y·dydx=31+0⇒2y·dydx=3⇒dydx=32y Now slope of the…

Q: The slope of the line tangent to the curve y=2x- 3 at point (1,-1) is 5

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

Q: Find the exact length of the curve over the given interval. 2sxs3 4x'

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.