Find equations of the tangent line and normal line to the curve at the given point. y = x4 + 9ex,  (0, 9)

Q: Find the equation of the tangent to y = 1/x −2 at the point (5,1/3)

A: If you like the solution then please give it a thumbs up... The Answer is:     Equation:.    75y =…

Q: Find ​the slope of the curve at the given point​ P and an equation of the tangent line at P.…

A: solution:-y=-3-4x2point, P(x1, y1)=-3, -39slope=dydx=ddx-3-4x2=-8xat point -3, -39slope=-8(-3)=24

Q: The curve y = ax2 + bx + c passes through the point (2, 32) and is tangent to the line  at the…

A: Given curve: y = ax2 + bx + c passes through (2,32) and  (0,0) line at the origin is tangent to the…

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

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Q: Find the equation of the tangent line at the given point on the following curve. 2+y? = 34, (5,3)…

A: For the given curve  x2+y2= 34  And point (5,3)  equation of the tangent line to the point is…

Q: (a) Find the slope m of the tangent to the curve y = 1 + 4x2 – 2x³ at the point where x = a m = (b)…

A: Given equation of curve is: y=1+4x2-2x3

Q: Find equations of the tangent line and normal line to the curve at the given point. y = x4 + 2ex,…

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Q: Find the equation of the tangent line to the curve y=5√x at the point (4, 10). The equation of the…

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Q: (a) Find the slope m of the tangent to the curve y = 7/Vx at the point where x a > 0. m = (b) Find…

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Q: Consider the following curve. y = 2x2 − 4x + 1 Find the slope m of the tangent line at the point…

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Q: Find equations of the tangent line and normal line to the curve at the given point. = x* + 9e*, (0,…

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Q: Find the equation of the tangent line to the curve y = 3x at the point (1, 3). The equation of the…

A: Given,           The curve is y=3x and point is 1, 3.

Q: Find the equation of the tangent line to the curve y=5x /1+x^2 at the point (4, 20/17) The equation…

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Q: Find an equation of the tangent line to the curve at the given point.   y= square root of 1-8x,…

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Q: Find the equation of the tangent line at the given point on the following curve. 2. x+y 8, (-2,2)…

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Q: Find equations of the tangent lines to the curve X - 1 y = X + 1 that are parallel to the line x -…

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Q: Find the slope m of the tangent to the curve y = 8 + 4x2 − 2x3 at the point where x = a. (b) Find…

A: Given: y = 8 + 4x2 − 2x3

Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the…

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Q: Find the equation of the tangent line to the curve y = 1+x2 at the point (4, 9). The equation of…

A: Given curve

Q: Determine the coordinate points of y=e^x - 5e^-x where the tangent is parallel to the line y= 6x-3

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Q: Find the equation of the line tangent to the curve y= x^3 + 5x at the point (1,6) Include y = in the…

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Q: Find equations of the tangent line and normal line to the curve at the given point. y = x4 + 6ex,…

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Q: Find an equation for the line tangent to the curve y at the point (4,27). = 3 x - 2 Find an equation…

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Q: Find the equation of the tangent line at the given point on the following curve. x2+y? = 20, (-2,4)…

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Q: Find an equation for the line tangent to the curve y =x +5 at the point (2,9). Sketch the curve and…

A: Differentiating the equation of parabola and substituting the point gives the slope at that point.

Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the…

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Q: Find equations of the tangent line and normal line

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Q: A straight line perpendicular to and passing through the point of tangency of the tangent line is…

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Q: Find equations for the tangent line and the normal line to che graph x² + y? = 5, (2, 1) tangent…

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Q: If x^4+y=-4-2xy then find the equations of all tangent lines to the curve when y=-4

A: Givenx4+y=-4-2xy            ⋯(1)To find:The equation of all tangent lines to the curve when…

Q: Find the equation of the tangent line at the given point on the following curve. *+y² =41, (-4. - 5)…

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Q: ) Find equations of the tangent line and normal line to the given curve at the specified point.  y =…

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Q: Find y′ and the slope of the tangent line to the graph of the equation below at the indicated point.…

A: It is slope of tangent line.

Q: Find equations for the lines tangent and normal to the cissoid of Diocles y (8 - x) = 4x at (4,8). y…

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Q: (a) Find the slope of the tangent to the curve y = 1//x at the point where x = a. (b) Find equations…

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Q: The slope of the tangent line to a plane curve y=f(x) at the point (x,y) is given by 3 - 2 m=- + 16x…

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Q: Find the slope of the given point of the equation of the tangent line y=x^2-5 P(2,-1)

A: Slope of the tangent is obtained by dy/dx

Q: 6. Determine the equation of the lines tangent to the curve (there are two!) x²y + 2xy? = x + 6y,…

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Q: find the equations of the tangent lines at the point where the curve crosses itself. x  =  t3 − 7t…

A: Given data:   The given value of x is x=t3-7t. The given value of y is y=t2.   Suppose the curve…

Q: Find the equations of the tangent line and normal line to the given curve at the specified point.

A: Find the equations of the tangent line and normal line to the given curve at the specified point. y=…

Q: Find the slope and an equation of the tangent line to the graph of the function fat the specified…

A: Given that: The function f(x) = x + 1x and point 16, 174 .

Q: An equation of the tangent line to the curve y=(x^2 +1)^3 at the point (1, 8)

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Q: Find the equation of the tangent line to the curve  at the given point . Sketch the curve and the…

A: The equation of the curve is y=-2x3. The point of contact is (-2, 16).

Q: (a) Find the slope m of the tangent to the curve y = 3/Vx at the point where x = a > 0. m = (b) Find…

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Q: Find the equations of the tangent line and normal line to the curve y = x3- 2x 1+ at the point (0,…

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Q: Find the slope m of the tangent to the curve  y = 3/sqrtX  at the point where x = a > 0. m = ?

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Q: Find equations for the tangent line and the normal line to the graph of the equation at the given…

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Q: Find equations of the tangent line and normal line to the given curve at the specified point. y = 4x…

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Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the…

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