Find the local linearization of g (x) = x² – n², at x = . Call this tangent line equation L, (x). • You'll need to find g' (), and you'll need to find the y-value that corresponds to x = T. Next, you can plug those pieces of information into the point-slope formula, L. (x) – Y1 = m (x – x1). Then, rearrange and simplify. O Lg (x) = 2rx2 – 2t O Lg (x) = T – n² O Lg (x) = 2ræ 272

Q: find an equation of the tangent plane at the given point. f (x, y) = ln(4x2 − y2), (1, 1)

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Q: 8. Find the equation of the tangent and normal to the curve y = x3 3x + 1 at x = -1. [4] -

A: We have to find the eqution of tangent and normal of given curve y

Q: Find the equation of the tangent line at the given point on curve. ex2+ y2 = xe5y - y2e5x/2; (2, 1)

A: Given, ex2+y2=xe5y-y2e5x2:(2,1) To find the equation of tangent line at the given point on the…

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Q: Find an equation of the tangent line to the curve at thegiven point.

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Q: Find the equation of the tangent line to the curve y = x Vx +5 at the point (2,6).

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Q: y = 7x + e5x ; (0, 1) %3D

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Q: Find the equation of the tangent line to the curve point (1,0). f(x) = x – e²²-1 at the

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Q: 2. Find a point on the curve y = e 3x , at which the tangent line passes through the origin.

A: Solution: The objective is to find the point on the curve y=e3x at which the tangent line passes…

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 at the  given point. y = ln(x2 - 3x + 1), (3, 0)

A: Given: y=ln(x2-3x+1), (3, 0)

Q: What is b > 0 if the tangent line to y = bx at x = 0 has slope 2?

A: Our Aim is to find thr value of b given that the tangent line to y=bx-(i)at x=0 has slope 2.

Q: Find the point on the curve y = x-11x+5 at which the tangent has the equati on y = x - 11.

A: We will find the  point on the curve at which the equation of tangent is given as following.

Q: Find an equation of the tangent line to the curve at the given point. y = In(x² – 6x + 1), (6, 0) y…

A: As per guidelines we have to solve one question Please repost other questions again

Q: Find an equation of the tangent line at a point (0, 0) on the curve x =t- 100, y = t2– 10t.

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Q: Find an equation of the tangent line to the given curve at the specified point. x2 - 1 y = x2 + x +…

A: Note:Equation of tangent passing through a point (x1, y1) at on a curve f(x) is given by(y-y1) =…

Q: Find an equation of the tangent line to the curve at thegiven point.   y = ex   / x  , (1, e)

A: Given: y=exx,1,e. for finding tangent at given point we need slope of tangent at that point  so,…

Q: Find an equation of the tangent line to the curve y = (4x + 2)e at the point a = 0.

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Q: The equation for the tangent line to the curve y=x3 which passes through the point (0,2) is y=mx+b…

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Q: Find an equation of the tangent line to the curve at the given point    y= xe^-x^2 , (0,0)

A: Given,

Q: Find the slope of the tangent line of the function -ey + x2 – y = 15 at the point (4,0)

A: Please note that the slope of tangent to a curve at any point is given by the derivative of the…

Q: Find the slope of the tangent line to the curve 3a2 – 3xy – 4y3 = 56 at the point (2, – 2).

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Q: Find an equation of the tangent line to the graph of the equation x2+9xy +y2 =25 at point (0, 5)

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Q: Find an equation of the tangent line to the curve at thegiven point.   y = e2x  Cosπ   x, (0. 1)

A: Given: y=e2xcosπx at 0,1 for finding equation of tangent at given we need slope m of tangent at that…

Q: Find the slope of the tangent line to the curve −x^2−3xy+3y^3=−7 at the point (−1,−1)

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Q: Find an equation of the tangent line to the curve at the given point. y = In(x2 - 3x + 1), (3, 0)

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Q: Find an equation of the tangent line to the curve at thegiven point.

A: Given: y=2x+1x+2, 1,1 for finding equation of tangent, we need to find slope of tangent  we know…

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: What is the slope of the tangent line that touches the graph of In(y) +e-'=3y – 4x at the point.12

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Q: Find an equation of the form y = f(x) for a curve with r-intercept 2 whose tangent line at any point…

A: Here, to find the equation of the curve of the form y=f(x) with x-intercept 2. That is curve passes…

Q: b. Find the equation of tangent line to the curve of function f (x) at given point: y = In(x² – 4x +…

A: We have to find the slope of tangent first.

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Q: Find the equation of the tangent line on the curve defined by 2xy- y² =1 at x = 1. A y=x-1 B y=1 ©…

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Q: Find an equation of the tangent line to the curve at thegiven point.   y = √x ( 1, 1)

A: Given curve is y=x. To find equation of tangent line at point 1,1. Differentiating the given curve…

Q: Determine an equation of the tangent line to y= (e3x+2)5 at the point (0 , 243) then solve it for y.

A: We have to find the value of y.

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Q: Find the slope of the tangent line to the curve (r² + y² – 1)3 – r²y³ = 0 at the point (–1,1).

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Q: 3) Let x = t2 - 1 , and y = e2 . Find the tangent line to the point (0, 1) .

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Q: Find the equation of the tangent line to the curve at the given point. y = v2x + I, (4, 3)

A: →Slope, m = dydx→dax+bdx =12ax+b→Equation of straight line passing through (xo,yo) with slope m is…

Q: Find an equation of the tangent line to the curve at the given point. y = 4*, (0, 1)

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Q: Find the slope of the tangent to the curve x° + 4xy+ y² = 13 at (1, 2). The slope is (Enter undef if…

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Q: Find the equation of the tangent line at the given point on the curve. x3 + 2xy – y2 = 11 at (2,3)

A: We need to find the equation of the tangent line at the given point on the curve. We have x3+2xy-y2…

Q: Find the equation of a tangent line to the curve y = x e2x at the point where x=1

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Q: Find an equation of the tangent line to the curve at the given point. y = x° In(x), (1, 0)

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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: Find the point where the tangent line to y = a" at a = 0.6 crosses the x-axis. x-intercept =

A: X- intercept is x=0.45 See the calculation below

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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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

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.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

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.