At what point(s) on the curve x = 9t2 + 5, y = t³ - 2 does the tangent line have slope (х, у) (86,25) %3D

Q: Find the equation of tangent and normal to the curve y= 3x2 - 4x+5 at (– 1, 12)

A: Given the equation y=3x2−4x+5

Q: At what point on the curve x = 3t2 + 5, y = t3 - 5 does the tangent line have slope ? (х, у) %3

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Q: Compute for the interval [2, 3], where y = 6x – 1. Дх Ду 6 Ax What is the slope of the tangent line…

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Q: At what point on the curve x 3t2 + 1, y = t3 - 5 does the tangent line have slope ? (х, у) -

A: We have given curve as x=3t2+1         ⋯⋯1y=t3-5           ⋯⋯2 From the equation (1) and (2), on…

Q: Find the slope of the tangent line to the curve - 32 + 2ry-y = 0 at the point ( 1, – 1).

A:

Q: (b) y = x3 y 2 1

A: Given y=x³ Draw the graph and measure the change in y and change in x

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: What is the slope of the tangent line to the curve y=3cos2x  at x=π/4 ?

A: First find out derivative then put the value

Q: At which points on the curve y = 1 +°40x³ – 3x³ does the tangent line have the largest slope? | (x,…

A: Maximize slope

Q: At what point on the curve y = 9 + 2ex − 6xis the tangent line parallel to the line 6x − y = 4?

A: The curve equation is y=9+2ex-6 To find point on curve tangent to curve and parallel to line 6x-y=4

Q: What is the slope of the tangent line to y = 4x at x = 0?

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Q: At what point(s) on the curve x = (x, y) = 6t² + 4, y = t³ - 7 does the tangent line have slope?

A: This question is related to parametric curves and slope of tangent, we will solve it using given…

Q: What is the slope of the line tangent to the curve x2 + y2 = 1 and parallel to the x=axis ?

A:

Q: Find the slope of the tangent line to the curve - 42? – zy + y - 4 at the point (– 2, 2).

A:

Q: At what point on the curve x = 9t2 + 7, y = t - 5 does the tangent line have slope ? (x, y) =

A:

Q: What is the slope of the tangent line to the graph y = a° – 3x, | at the point (x1, Y1)?

A: Our Aim is to find the slope of the tangent line to the graph y=x3-3x -(i)at the point (x1,y1),

Q: At which points on the curve y = 1 + 40x3 - 3x5 does the tangent line have the largest slope? (x, y)…

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Q: At what point on the curve x = 3t2 + 2, y = t3 – 2 does the tangent line have slope ? (х, у)

A: Slope of the line = dy/dx To get dy/dx, first get dx/dt then get dy/dt. Now divide dy/dt by dx/dt.5

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: Where on the curve y = (169 + x²)¯* does the tangent line have the greatest slope? NOTE: Enter the…

A: Given:   Curve y=169+x2-1             y=1169+x2 At the inflection points, the tangent to the curve…

Q: At which points on the curve y = 1 + 60x3 - 2x does the tangent line have the largest slope? (х,…

A: Given,           y=1+60x3-2x5

Q: Find the slope of the tangent to the curve x+ xy + y = 7 at (1, 2). The slope is (Enter undef if the…

A: Find the slope of the tangent line using implicit deffentiation

Q: Compute Δy Δxfor the interval [4,10], where y= 2x-6   ________   What is the slope of the tangent…

A:

Q: What is the slope of the tangent line to the graph of y = cot-1 V2x +Iat the polnt where z = 0?

A: Slope of the tangent is the derivative of y at x=0

Q: Compute y / x for the interval [2, 5], where y = 4x - 9. What is the slope of the tangent line at x…

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: Show that the curve y = 2e* + 7x + 8x³ has no tangent line with slope 6. y' = y'[ ? ÷]6, so no…

A: We know that d/dx (x^n) =nx^(n-1) Please see the explanation below

Q: At what point on the curve x = 9t2 + 2, y = t3 - 6 does the tangent line have slope ? (x, y) = ])-

A: Consider the curve

Q: Find the slope of the tangent and normal to the curve  y=2x2+3sinx at x=0

A:

Q: What is the slope of the tangent line to y = 4x at x = O?

A: Our Aim is to find the slope of the tangent line to y=4x at x=0.

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

A:

Q: The Tangent Line to a y= f(x) at x = c has slope ?

A: Recall the below fact:

Q: At what points on the given curve  x = 2t3, y = 4 + 16t − 10t2  does the tangent line have slope 1?

A: The tangent line of any given function is the line which  touches the curve of function at only one…

Q: At what point on the curve x = 9t2 + 7, y = - 5 does the tangent line have slope ?

A:

Q: Where on the curve y = (121+ x²) * does the tangent line have the greatest slope? NOTE: Enter the…

A:

Q: Find the slope of the tangent to the curve r+ 2xy + y = 16 at (1, 3). The slope is VEnter undof if…

A:

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 to the curve x^4+5xy+y^2=7 at (1,1). The slope is:

A:

Q: 2. At which points on the curve y = 1+ 60x – 2x does the tangent line have the largest slope?

A: Solution ) y = 1+60x3- 2x5 First derivative with respect to  x y' =0+ 60 ×3 × x2 - 2×5 x4 y' = 180x2…

Q: At what point on the curve x = 9t2 + 3, y = t3 – 2 does the tangent line have slope ? (x, y) =

A:

Q: At what point on the curve x = (x, y) 6t² + 5, y = t³ - 2 does the tangent line have slope 11/22

A: This question is based on finding slope of parametric curve.

Q: At what points on the given curve x = 4t3, y = 1 + 100t - 20t2 does the tangent line have slope 1?…

A:

Q: At what points on the given curve x = 2t3, y = 4 + 8t - 11t2 does the tangent line have slope 1?…

A:

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

A: Given, y=4+2ex-4x First, find the slope of tangent line parallel to the line 4x-y=9 Find the point…

Q: Compute for the interval [2, 7], where y = 3x - 3. Ay Ax Ду Дх What is the slope of the tangent line…

A: we have y= 3x-3at x=2y=3×2-3 =3at x=7y=3×7-3 =18so,∆y∆x = change in y over the intervalchange in x…

Q: At what point on the curve y = 4 + 2e* – 4x is the tangent line parallel to the line 4x – y = 5? (x,…

A: Given: y=4+2ex-4x   and 4x-y=5

Q: What is the value of the slope of the tangent line to the curve x²+ 4.xy +y² =13 passing through the…

A: topic - slope of a tangent at a point on a curve

Q: What is the slope of the tangent to the curve x-y² -x = - 4'at (1,2)

A:

Q: At what point on the curve x = 6t2 + 2, y = t3 - 5 does the tangent line have slope (x, y) =

A:

Q: At what points on the given curve x = 2t³, y = 2 + 10t 14t2 does the tangent line have slope 1? = (L…

A: Given problem:- At what points on the given curve x = 2t3 , y = 2 + 10t - 14t2 does the tangent line…

Unitary Method

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Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

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Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.