A line through ( – 6, – 9) with a slope of – 9 has a y-intercept at Preview Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity

Q: Determine the slope of the tangent to the graph of y = 4 X Paragu at the point (1, 4).

A: Questions from application of derivatives.

Q: what point is the tangent line to y=1+2e* - 3x parallel to 3x - y = 5 ?

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Q: Area of a regim enilosed is by Curves y= 12 and

A: To find the area enclosed by the given two equations

Q: Find the slope of the line through the point (12,15) that cuts off the least area from the first…

A: Given: (12,15)

Q: Find the slope of the tangent line to the graph at the given point. (4 – x)y? = x³, (2, 2) Cissoid:…

A: Slope of tangent line =dydx(4-x)y2=x3differentiating w.r.t 'x'y2d(4-x)dx+(4-x)dy2dx =…

Q: Find the slope of the tangent line to the graph at the given point.

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

Q: Find the slope of the line tangent to the graph of ye* = y2 + x – 6 at (0, 3).

A: Given query is to find the solpe of tu tangent line at indicated point.

Q: Edit Find the equation of the tangent line to the graph of y = 8" at x = 1. NOTE: Round the slope to…

A:

Q: Show that the slope of the normal line to the curve y = 5 /(3-7x)^3 is never positive.

A: Given the equation of a curve is y=53-7x3. This can be written as y=53-7x-3. Differentiating it:…

Q: At what point on the Curve x = 3t2 + 4, y = t³ - 6 does the tangent line have slope (х, у) %3D

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Q: Determine the slope of the line tangent to y = √² - 3 at x = 2 In case you need help inputting your…

A: The objective of the question is determine the slope of the tangent to the given function.

Q: Find the slope of the tangent line at the indicated point for: y = 2 at the point (1,2).

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Q: Calculate the length of the tangent line, normal line, sub-tangent and subnormal from: a. 4x² + 9y =…

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

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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: See image below

A: Given function is

Q: 10 Calculate the slope of the secant line through the points on the graph where x = 1 and x = 3.…

A: f'(c) = [f(b) – f(a)]/(b-a).

Q: What is the slope of the line tangent to the curve defined by y +xy-x 11 at the point (2, 3)

A:

Q: For what values of a and b is the line-3x + y-b tangent to the curve y = az3 when x-5? a=

A: The value of slope of tangent to the curve at the point is the value of its derivative at that…

Q: What are the coordinates of the points in the graph of y2-x²+6x – 13=0 in which the tangent line is…

A:

Q: What is the slope of the tangent line to the graph of x^2-4y^2 + 2x + 4y = 8 at (4, -2)?

A: According to our guidelines In case of multiple questions we are supposed to answer the first…

Q: Find the slope between the points (2, 8) and (2, 10). Enter DNE if the slope between the points is…

A:

Q: At what point of the curve y = 4cosh(2x) does the tangent line have slope 4?

A: y=4cosh2x Slope of the tangent line is the derivative of the given curve. So differentiating with…

Q: Find an equation of the tangent line to the curve at the given polnt. y = 4x² – x², (1, 3)…

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Q: Find the slope of the tangent line to the graph at the given point. (x2 + 4)y = 8, (-2, 1)

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Q: What are the coordinates of the points in the graph of y2-x²+6x – 13=0 in which the tangent line is…

A: To find the points at which tangent line is horizontal , y' =0.

Q: Find the equation of the line through the point (2, 5) that cuts off the least area from the first…

A:

Q: Find the points on the graph of y = ex where the tangent line has slope 4.

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Q: What are the coordinates of the points in the graph of y2 – x² + 6x – 13= 0 in which the tangent…

A:

Q: The equation of the line tangent to the curve at (−1,4)is x+y=3. What is the slope of the normal…

A: Product of slopes of two perpendicular lines is -1.

Q: Find the slope of the tangent line to the curve `-3 x^2 + 3 xy + 4 y^3 = 8` at the point (4,2)`.…

A:

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: Show that the curve y = 6x + 6x - 3 has no tangent line with slope 2.

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Q: What is the image of the horizontal line through the point in under e ?

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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 equations of all lines having slope −3 that are tangent to the curve y=3/(x−4)

A: Equations of all lines having slope −3 that are tangent to the curve y=3x-4

Q: What are the coordinates of the points in the graph of y-x+6x – 13=0 in which the tangent line is…

A:

Q: Find the slope of the tangent line to the graph at the given point. (x² + 4)y = 8, (-2, 1) Witch of…

A: Please see the answer below.

Q: At what exact point on the curve y = 9 + 2ex 5x is the tangent line parallel to the line 5x – y = 4?…

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Q: Write down the slope, of tangents of circle x +y2 =25 parallel to order 3x- 54 +8=0

A:

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 slope of the tangent line to the curve y 3x-8x + 7 at the point (-1,2). -3 3. -4 4

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Q: Find the slope of the tangent line to the graph at the given point. (x2 + 4)y 8, (2, 1) Witch of…

A:

Q: Find the distance between the line x + y + 2 = 0 and the point (1, 1).

A: The distance between the line ax+by+c=0 and the point x1,y1 is given as below. d=ax1+by1+ca2+b2

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

A: y=6x3+5x-3 has no tangent line with slope 4

Q: Find the slope of the line through the point (12,15) that cuts off the least area from the first…

A:

Q: Find the exact value of the slope of the tangent line to the graph of −3x2+xy+4y3=102at the point…

A:

Q: Find the equation of one of the tangent lines to the circle x2 + y2 = 52 that pass through the point…

A:

Q: Find the equation of the line that is normal to the curve (y-x)2 = 2x + 4 at (6,2). %3D

A: Use equation of normal line

Q: Find the slope of the tangent line to the graph at the given point. (x² + 4)y = 8, (-2, 1) Witch of…

A:

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.