a. Find the coordinates of the y-intercepts of the curve. dy b. Verify that dx 2 1- 3y? c. Find the slope of the curve at each point where x = 0. 2x – y+ y = 0

Q: Given the equation of curves: y = x2 + 7x + 6 and x - 2y = 6. Find the slopes of the tangents of the…

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Q: Find an equation in the form y = ax? + bx + c whose graph has an x-intercept at x = -1 and a tangent…

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Q: Find the equation of the tangent line to the curve y = 5sec(x) -10cos(x) at the point (pi/3,5).…

A: Given query is to find the equation of the tangent.

Q: Determine the equation, in y= mx + b form, of the line that is perpendicular to the slope of the…

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Q: Consider the following equation. 4x3 + 3y2 = 52 Step 2 of 2: Find the slope of the tangent line at…

A: The given equation is 4x3+3y2=52. Evaluate dydx using implicit differentiation as follows.…

Q: Differentiate implicitly to find the slope of the curve at the given point. y + yx? +x? - 3y? = 0;…

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Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A: Given,          x=t2-4 , y=t3+6t , t=3To find: The equation of the tangent line.We know that,…

Q: Find the constant k so that the line with equation y = kx is tangent to the circle with equation (x…

A: Given:The line y = kx is tangent to the circle (x - 3)^2 + (y - 5)^2 = 4.

Q: Find an equation of the line tangent to the given curve at a. y = x3 – 4x2 + 2x – 1; a = 2

A: Slope m of the tangent will be given by dydx Therefore, dydx=ddxx3-4x2+2x-1 ⇒dydx=3x2-8x+x…

Q: Given the curve y = x3 + 3x, at what point is y' = y'' ?

A: As we know that, The Power law: ddxxn=nxn-1 The sum/difference rule: f±g'=f'±g'   Given: y=x3+3x And…

Q: Find dy if the curve is described by the equation x³ 4x³y + 3y² +Ske y

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Q: State the following curve in the form of a parameter equation a. y = 1-x², z = -2 b. y²-z²=9, x =4

A: a. According to question,Given equation,y = 1-x2 ,  z = -2

Q: Consider the curve given by the equation 0 = y3 +xy +2ax + 1+x4  y'(0) = ?

A: Answer and explanation is given below

Q: If xy+y^3= 1, Find  the value of y" at the point where x=0

A: To find the value of y at x=0, substitute 0 for x in the equation xy+y3=1 and simplify.…

Q: D. FIND THE SLOPE AT TGE POINTS INDICATED y= x2 – 5x + 4 1. @ (1,0) 2. у 3 @ (2, %) (x²+ 4)

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Q: Find the slope of the curve x? – 3xy + y² – 4x + 2y + 1 = 0 at the point (1, -1). с. 1/3 d. 1/5 а.…

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Q: (d) Find the points on the curve x'y = 60 nearest the origin.

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Q: Q4 if xy-yx=6 is the equation of a curve, find the slope and the equation of the tangent line at the…

A: As per our guidelines we can solve only first question. Please repost the other questions that need…

Q: dy = 18yx³ dx and whose y-intercept is 4. y(x) =

A: A detailed solution is given below

Q: Find an equation of the curve that satisfies dy/dx = 150yx14   and whose y-intercept is 2.

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Q: Find an equation of the curve that satisfies dy 90yæº dæ and whose y-intercept is 2. y(x) =

A: Given:    dydx=90yx9      dyy=90x9dx Integrating on both sides     ∫dyy=∫90x9dx       lny=90·x1010+C…

Q: Find the equation of the curve that passes through (2,3) if its slope is given by the following…

A: dy/dx = 2x -4 integrating with respect to x; y (x) = 2x2/2 - 4x + C y (x) = x2 -4x + C

Q: Find the values of a and b for the curve x2y + ay? = b if the point (1,1) is on its graph and the…

A: The slope of the tangent 'm' at a point (x1,y1) for a curve S(x,y) Is given by dydxx1,y1 therefore…

Q: The line y = 2x + b is tangent to the graph of y = 1x at the point P = (a, 1a). Find P and determine…

A: Given: The line y=2x+b is tangent to the graph of y=x at the point Pa,a. To find P and determine b.…

Q: Given the equation 2y2 – 2xy – 4y +x? = 0 of a curve, obtain the x-coordinates of each point at…

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Q: Find the equation of the line tangent to the curve a = 3t2 +8, y= 8t +3 at t = 2 Answer:

A: The solution is given as follows :

Q: Find an equation of the curve that satisfies dy 33ya10 dæ and whose y-intercept is 4. y(x) =

A: Given: dydx=33yx10 and y-intercept is 4. To find an equation of the curve. Solution: Separating the…

Q: Find an equation for the line tangent to the curve at the point defined by the given value of t. x…

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Q: Find the slope of the curve at the point indicated, where t = 2 * 1 2. y = (t-1) 4 X = t+2

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Q: Find the slope of the tangent to the curve y = 3e^(2x) at (0,3)  a. 3  b. 2  c. 6  d. 12

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Q: 1 F(t) -1<t<1

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Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

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Q: s) Find the equation of the curve that passes through the point (3, 2) if its slope is giv dy = 8x –…

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Q: dy 20 yau

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Q: The equation of the curve is y? = x' + 8x. Find the x-coordinates where tangent lines are vertical.

A: We are given equation of curve  Y^2 = x^3+8x We have to find points where tangent lines Are vertical…

Q: If a curve is given by x(t)= t3 - 4t2 + 4t +3 and y(t)=t+3, then the equation of the line tangent to…

A: No. The line is not tangent to the curve at the point (3,5). The following picture shows the graph…

Q: At the given point, find the slope of the curve, the line that is tangent to the curve, or the line…

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Q: A curve is given implicitly by the following equation .2 (x + y)² + x²y = 11 Find the slope of the…

A: Given the equation of the curve is  x+y2 + x2y = 11

Q: At the given point, find the equation of the line that is tangent to the curve, as requested. x°y =…

A: Explanation of the answer is as follows

Q: 7x Find the points on the graph y = x-2 - where the slope of the tangent line is parallel 28x +50y –…

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Q: If y = x* - 4x° - 8x², the points at which the tangent to the curve is parallel to the x-axis are A.…

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Q: Find an equation of the tangent line to the graph of y = B(x) at x = 24 if B(24) = −1 and B ′(24) =…

A: Given thaty=B24 x=24y=B24 =-1B'24 =-14To :find equation of tangent line Solution :equation of line…

Q: e: 4. Find the distance from the point (0, 0) to the line with the equation y-7x-8

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Q: Find the y-intercept of the tangent line to the curve y =/x + 3 at the point (1, 2). (a) 5/4 (b) 7/4…

A: Given curve:

Q: Differentiate implicitly to find the slope of the curve at the given point yA + x3 = y? + 12x; (0,…

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Q: Given a? – xy? = 4y, dy a) dx y2-2x 2(ry + 2) y? - 2x 2xy + 4 b) Write the equations of the tangent…

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Q: Given æ? – xy = 4y, dy a) dx y2- 2x 2(ry+2) - 2x 2xy + 4 b) Write the equations of the tangent lines…

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Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A: use property of chain rule to find the slope and equation of tangent line

Q: Find the equation of the curve for which y" = x, and which passes through the point (1, 2) with a…

A: NOTE: Refresh your page if you can't see any equations. . take integration  ...............(1) at…