Use the formula for the slope of the tangent line to find 2 of c(t) = (5t + 9, 3t – 8) at the point t = 3. %3D dx (Use symbolic notation and fractions where needed.) dy dx l=3

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A: Given : 2x2 - 5y = 3xy

Q: If x° + y = 65, find the value of at the point (4,1). dx? dy at the point (4,1) is- 2 dx The value…

A: x3+y3=65 Differentiating with respect to x, we get 3x2+3y2·dydx=0    ∵dxndx=nxn-1  &  dcdx=0,…

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A: We have to find derivative at that point

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A: I am attaching image so that you understand each and every step.

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

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Q: Find dy/dx and d²y/dx². For which values of t is the curve concave upward?

A: x = t2 + 1 y = et - 1 dy/dx = dy/dt ÷ dx/dt

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Q: dx

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Q: Solve the following using exact equation or linear whichever is applicable. 1. (х + у) dx + (х — у)…

A: 1. An equation of the form Mdx+Ndy=0 is exact if My=Nx. Here My is the partial derivative of M with…

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A: The given equation is x10y13-x13y10=1

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Q: Find the values of a and b that make following D. E is exact ( - 4) dx + (xyo + 1) dy = 0 x2+2

A: Remark: A differential equation of the form M(x,y) dx + N(x,y) dy = 0 is exact if and only if dM/dy…

Q: Find dy/dx and d²y/dx². x = e', y = te"t dx dx2 For which values of t is the curve concave upward?…

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Q: Find dy/dx at the given point for the equation. x = 8 In(y? – 35), (0,6) dy/dx = %3D

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Q: Given x = 6 ln(t) and y = 36 t² then find dy dx dx?

A: Let x = 6 ln(t) and y=36t2 Differentiate x with respect to t dxdt=ddt6 ln(t)=6ddtln(t)=6·1tdxdt=6t…

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A: We have to find derivative

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Q: Find dy/dx at the given point. (2t + 9, 7t − 9), t = 1

A: We have to find dy/dx at the given point - (2t + 9, 7t − 9), t = 1

Q: Given that 1 -dx + dr = ln a, find the exact value of a. V16+9x² V9+4x* 1.

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Q: Suppose z is a function of x and y, and a? – y? = 2"e6y. Solve for dz dx

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Q: Let y=e" +b(x+1)'. When x = 0, suppose that dx - 0 and -0. dx Find the possible values of a and b.

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Q: For the equation given below, evaluate dy/dx at the point (1,−1). 2y2-3x2+1=0

A: Given equation:The given equation is 2y2 – 3x2 + 1= 0.Here, the point is (x, y).

Q: For the equation, find  dy/dx  evaluated at the given values. y2 = 2x − 13  at  x = 7, y = −1 dy…

A: Given: y2 = 2x - 13  at x = 7, y = -1   To Find: dydx

Q: Find dy/dx and d²y/dx². For which values of t is the curve concave upward? x = t2 + 1, y = et – 1

A: x=t2+1y=et-1

Q: For the equation given below, evaluate 4 at the point (1, 1). dx eY + 6 – e' = 3x? + 3y. dy at (1,…

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Q: At which of the five points shown on the graph are and dx dy both positive? dx2 E В

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Q: Given x=et , y=te-t , find equation of the tangent to the curve at ln 3 and d2y/dx2

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Q: Determine if the equation 2xy dx + xy dy = 0 is exact. Identify M =O and N=O

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Q: Find dy/dx and d²y/dx². х %3еt, у3 te-t dy dx dzy dx2 For which values of t is the curve concave…

A: Given

Q: For the equation, find  dy/dx  evaluated at the given values. x2y + y2x = 0  at  x = −2, y = 2

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Q: d²y - = 0 and dx? Let y=e" +b(x+1)'. When x = 0, that dx dy a) suppose = 0. Find the possible values…

A: Here we have to find the values of a and b. The solution is following .

Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

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Q: For the equation, find dy/dx evaluated at the given values. x2 + y2 = xy + 28  at  x = 6, y = 4…

A: Given : x2+ y2 = xy + 28

Q: For which value of a the equation dz dy dx =3 does hold? Oa.2 Ob.0 OC.3 O d. 1

A: This question is about application of integration

Q: Find dy/dx and d2y/dx2. x = cos(2t),    y = cos(t),    0 < t < π   For which values of t is…

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Q: dy If x=sin y, find the value of at the point dx 2 3

A: Since we have been given that x=sin y -(i) and our aim is to find the value of dydx at the point…

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

A: Given: yx-4y=x6-8 To Find: dydx at 1,727

Q: Give the order of the equation (x* + 2y)dx – xdy = 0. Give the degree of the equation (x* + 2y)dx –…

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Q: x = 2t + 5, y = t8, t = –1

A: To find the equation of tangent line given x=2t+5,y=t8,t=1

Q: Using dy = 3 dx and dx = 0.03, what is dy when x = 2? 2V3X – 2 dy = i (Write as an exact decimal.)

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Q: Find the solution and define The interval at which function is değine 2. dx

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Q: Find dy/dx and d²y/dx². x = 2 + 3, y = t2 + 3t dx d?y dx2 For which values of t is the curve concave…

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Q: Assuming y is a function of x, find dy/dx for 5x sec(y) – 3y sin(xy) =e^(5xy)

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Q: Given æ = 15 In(t) and y = 225 t² then find dy dx dy dx?

A: Given that       x = 15 ln(t)      and   y = 225t2 Here we have to find        dy/dx       and…