Q2/ Find the tangent line to the curve: F(t) = (cost, 3 tant,t -t+ 1) at t = 0. Determine whether it is parallel, intersccting or skew with the line x = -2+t, y = 1+t. z = -2t

Q: Find the points on the curve where the tangent is horizontal or vertical. x = - 3t, y = t² - 8…

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Q: Find the length of the curve x = 49 sec* t – 1 dt with 3 - - 6. Length is

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Q: Find the slope of the tangent to the curve y x3 at (6, 3) xy + 6 dx (Enter undef if the slope is not…

A: Given that: y2=x3xy+6 at (6, 3)

Q: Find equation of tangent line y=4x cos x at the point (π, -4π) y = mx + b where M = and b =

A: To find tangent line .

Q: Find the slope of the tangent line to the curve (2x + 4y+ /2xy = V16 + V12 at the point (6, 1). %3D…

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Q: Find an equation of the tangent line to the curve y = x sqrt x that is parallel to the line y = 1+…

A: Now slope of the tangent line is the derivative of the given curve. So differentiating given curve…

Q: At what point is the tangent line to the curve y° = 6x² perpendicular to the line x y - 9 = 0? NOTE:…

A: To find the point on the curve y3=6x2 where the tangent line is perpendicular to the line x-y-9=0 .…

Q: Find the points on the curve y = x3 + 3x2 - 9x + 8 where the tangent is horizontal. smaller x-value…

A: Explanation of the answer is as follows

Q: Find the slope of the tangent line to the curve V4r + y+ VIY = /13 + V10 at the point (2, 5). The…

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Q: Find an equation of the tangent line to the curve y = 7tan(5x) at the point (0, 1)

A: According to Bartleby only first question can be solved at a time Please find the solution

Q: Find the points on the curve y = 2x3 + 3x2 12x + 2 where the tangent line is horizontal. (х, у) %3D…

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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: Calculate the equation of the tangent line to the curve r2 +ry+3r+2y-1 = 1 at the point (0, 1).

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Q: Consider the curve defined by the equation y3+xy+2=0.  Show that there are no points on this curve…

A: Consider the given curve define by the equation:

Q: Consider the curve defined by the equation y³ + xy + 2 = 0. Show that there are no points on this…

A: Given Equation of curve   y3+xy+2=0  ---(1)

Q: Find the point on the curve y=x√x for which the tangent line to the curve is perpendicular to the…

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Q: The Slope of the tangent line to the at the point C7,3) is: Curve y=

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Q: Find the equation of the tangent line. to y=f(x) at point P. %3D

A: We have to find the equation of tangent to y=f(x) at P.

Q: find equation for the lines that are tangent andnormal to the curve at the given point. ex + y2 = 2,…

A: Given: Equation of curve ex+y2=2 and the point 0,1, To find: Equation of tangent and normal line to…

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

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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 the lines that are tangent and normal to the curve y = tan x at the point (, 1)

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Q: Find the equation of the tangent line to r - 3ry + y =-1 at (2,1).

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

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: 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: Find the slope of the tangent line to the curve (a lemniscate) 2(z + v²) = 25(z² - y³) at the point…

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

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Q: Find the point on the curve y = xe* where the %3D tangent is horizontal

A: Slope of tangent to the curve y=f(x) is defined as mT=dydx(x, y). Slope of horizontal tangent is…

Q: Find an equation for the horizontal tangent to the curve at Q. y = 1+ v2cscx + cotx

A: To find tangent line , find out the slope of the tangent line Take derivative to find out the slope…

Q: Find an equation of the tangent line to the curve y=x√xthat is parallel to the line y= 1 +3x

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Q: Determine the point(s) where the tangent to the curve is horizontal: y = (x2 + 2x + 1)(x2 + 2x + 1)

A: Given problem:- Determine the point(s) where the tangent to the curve is horizontal:   y = (x2 + 2x…

Q: Find the equation of tangent and normal for the curve xsin2y = ycos2x at ,

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Q: At what point is the tangent line to the curve y° = 6x² perpendicular to the line 2x – y – 1 = 0?…

A: Given: y3=6x2..(1)2x-y-1=0y=2x-1...2   As we know that, iI two lines are perpendicular to each other…

Q: The equation of tangent line to y =2rsinx at the point (T) is : Select one: a. y=2x O by=-2x+27 O…

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Q: Find the acute angle between two tangent lines at point of intersection between two curves xy = 5…

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Q: find the points on the curve where the tangent is horizantal, X=t^2+1,y=3t^2+t

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Q: Find the slope of the line tangent to the curve at the given point y%3D25 sin x; x = F/3

A: We find dy/dx

Q: Find the equation of the tangent line to the curve y= x4 + 6ex at the point (0,6). Enter exact…

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Q: What is the slope of the tangent line to the curve x2 – xy + y² = 1 at (1, 1)? %3| -1 1 1

A: Given curvex2-xy+y2=1differentiate…

Q: Consider the curve satisfying y" = 6x and is tangent to the line y = 5– 3x at x = 1. What is y' (2)?…

A: Given: y''=6xand tangent to the line y=5-3x at x=1To find y'(2)=?

Q: Find the points on the curve y = 2x3 + 3x2 − 12x + 9 where the tangent line is horizontal. a)…

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Q: Find the equation of tangent line to curve x= t^(2)-2t and y=t^(2)+2t at the point t=2?

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Q: Find the equation of the tangent line to the curve y = e' when it is paralel to 2r-y =7.

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Q: tangent

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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…

Q: The equation of the tangent line to the curve z? + y² = 49, at (9,-15) is , %3D 15 - (z – 9) + 15 15…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.