d?y Find the curve, y that satisfies the conditions %3D dx2 = 6x; the line y = 5 - 3x is (b) tangent to the curve at the point where x= 1.

Q: Find dy| dx| and d2 y| dx2 . For which values of t is the curve concave upward? 15. x=t-1n t, y=t+1n…

A: x=t-ln ty=t+ln t

Q: dy Determine dx in terms of x and y for the equation x + xy2 – y = 3.

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Q: dy Determine in terms of x and y for the equation x + xy² – y = 3. dx

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Q: te ,t<- 3 b) Let y(t)= find L(y(t)) + sint cost 3

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Q: d²y Find dx² x = ² + 2, y = ² + 7t dy dx d²y dx² For which values of t is the curve concave upward?…

A: We have to solve given Questions.

Q: 3x2 what is the equation of the dy Given dx x³ + 5' curve that passes through the point (0,0)?

A: To find the equation of the curve that passes through the point (0,0)

Q: d?y Find and dx dx2 x = t2 + 9, y = t² + 5t dy dx dy dx2 For which values of t is the curve concave…

A: Here we have, x=t2+9, y=t2+5t we have to find,  dydx=?d2ydx2=? and the values of t for which curve…

Q: -dx (use 2 decimal places, no space) 5+x Let x = 3.63, and y = 4.58. Determine the value of C when…

A: we have given∫xx+5dx and also given x=3.63 at y =4.58

Q: Find dy/dx and d²y/dx². x = t? + 9, y = t2 + 3t dzy dx2 For which values of t is the curve concave…

A: Derivative of the function in parametric form:-There are times when we define a function utilizing a…

Q: d?y 1 C. Given vx +Vy = 2, show that dx2 3 x2 D. Find the equation of the tangent line to the curve…

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Q: Find y in terms of x. dy 4 dx =x* (32-x), curve passes through (2,9) The solution is y =

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Q: Find dy/dx and d²y/dx². x = t2 + 7, y = t² + 9t dy dx2 For which values of t is the curve concave…

A: Here we have to differentiate the given parametric equation.

Q: Find dy/dx and d²y/dx2. x = et, y = te-t dy dx d?y dx2 For which values of t is the curve concave…

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Q: dy d²y Find and dx dx2 x = t? + 8, y = t2 + 5t dy dx d?y dx2 For which values of t is the curve…

A: will be concave upward for all t belongs in [-1,-inf)

Q: Find dy/ dx and d2 y/dx2. For which values of t is the curve concave upward? x = et, y = te-t

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Q: Find dy/dx and dy/dx2. = t? + 9, y = t? + 7t dy dx 9. 1+2 %3D 9. dx2 43 For which values of t is the…

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Q: Find y in terms of x. dy + x, x > 0, curve passes through (3, 4) dx (A y = - 2x2 (B y = 2x2 x2 89 4…

A: We have find value of your in terms of x. So, for this we neet to solve given differential equation:

Q: cost, y = sint, at the point where t 0 ≤t≤ 2π -O?! =

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Q: Find dy/dx and d²y/dx². x = et, y = te-t -t e + -te dy dx ーt -2e -t + te d²y dx2 For which values of…

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Q: nswer two only: [25] M W Find the equation for tangent to the curve y = x + cos(2x²) at x = 2.

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Q: dy at the point (1, ). dx For the equation given below, evaluate 27 y - = x° – 8 х — 4у

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Q: Find dy/dx and d2 y/dx2 . For which values of t is the curve concave upward? 13. x = et , y = te-t

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Q: Use the information to find and compare Δy and dy.

A: Given that, y=x2-5x=f(x) x=-3 ∆x=dx=0.01   As we know, ∆y=f(x+∆x)-f(x) dydx=f'(x)⇒dy=f'(x)dx

Q: dy Find y where = y²e" and the y-intercept is 1 dx

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Q: find the equation of y where dy/dx = 3x + 5 and y= 6 when x = 0

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Q: dy dx at the point (-3, 1) for the equation x =y}-9y²+5 2. Find

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Q: Find dy/dx and dzy/dx2. x = t? + 9, y = t² + 5t dy dx dy dx2 For which values of t is the curve…

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Q: Find d^2y/dx^2 x=5(t+sint), y=5(t-cost)

A: To determine the derivative of the parametric equation.

Q: the graph Free Response Consider x² + 4y² + 6x – 8y + 9 = 0. of dy (a) Find dx (b) At which point(s)…

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Q: dy 1) Find given y? = x. dx 2) Find the tangent line to y? = x at the point (4, –2).

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Q: dy d²y Find and dx dx² x=t² + 4, y = t² + 9t 11 dx d²y dx² For which values of t is the curve…

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Q: Find dy/dx and d?y/dx2. x = e', y = te-t dx dy dx2 For which values of t is the curve concave…

A: You have posted 2 question we will solve the first question please resubmit the question which you…

Q: dy Given the equation below, find dx - 28a7 + 8a28y+ y° = – 19 dy %3D dx Now, find the equation of…

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Q: dy Given the equation below, find dx – 13x° + 3x"y + y" 26 10 - 9 78 (1 – 220y) 3226 + 10y dy dx…

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Q: dy Given the equation below, find dx - 332 + 6z"y + y³ = - 26 dy dx Now, find the equation of the…

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Q: dy Then find the slope of the curve at the given point. dx Differentiate implicitly to find 3x - 5y…

A: To differentiate implicitly means to differential an equation with more than 1 variable with respect…

Q: Value pro anıp dy - 1 3 -8x-2 , y(8) =- 3x* dx

A: Given that: dydx=13x43-8x-2,   y(8)=32

Q: d'y Find for x* +y* = 16. Express your answer in fully simplified form. dx?

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Q: Find the value of d²y/dx² at the point defined by the given value of t. x = sint, y = 7 sint,t=4 14…

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Q: Find dy/dx and d?y/dx2. x = t2 + 9, y = t2 + 5t %3D dy dx d²y dx2 %3D For which values of t is the…

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Q: thể cur dy w that dx 2y - 2х Зу - 2х %3D d the slope of the line tangent to the curve at each point…

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Q: nd dy/dx and dy/dx2. For which values of t is the curve concave upward? a = t + 1, y = t² – t

A: A detailed solution is given below.

Q: dy Find of the equation x'y +4y=3x dx %3D

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Q: dy Given the equation below, find dx 11æ10 + 3x33y + y8 = 15 %3D dy dx Now, find the equation of the…

A: Using implicit differentiation ,  ( d / dx )[ 11x10 + 3x33 y + y8 ] = (d/dx ) [15]   (d /dx ) […

Q: dy at x= -2. 1 If y =-,, find xp dy at x= dx - 2 is 1 The value of . (Simplify your answer.)

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Q: dy for the equation 6e2ªy dx 2x + y at the point where x = Find the value of 0.

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Q: Find dy/dx and d²y/dx2. x = et, y = te-t dy dx d²y dx2 For which values of t is the curve concave…

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Q: dy at the point (1, ). dx nt) For the equation given below, evaluate 41 +7 x– 5v dy at (1, ) - dx

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Q: Evaluate xy dx + (x + y)dy along the curve y = 3x? from (- 2,12) to ( – 1,3). y%3=

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