Fit a second-degree curve to the following data and estimate the value of y when x = 80. Put the equation by Y = a + bx + cx^2 when x = (x-40) / 10, y = y/10

Q: Find the equation of tangent and normal to the curve y= 3x2 - 4x+5 at (– 1, 12)

A: Given the equation y=3x2−4x+5

Q: Estimate the slope (slope rise/run) of the tangent line to the curve. N 3 4 6 N D-

A: Graph of a curve is given as- We have to determine the slope of tangent line to the curve.

Q: Find the equation of the tangent and normal line to the curve y=x2 at x=1

A: Tangent is a line to the curve that just touches the curve at a particular point. Normal is a line…

Q: Find the equation of the  tangent and normal to the curve y=5x4 at the point (1,5)

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Q: Find the points on the curve y = x4- 6x2 + 4 where the tangent line is horizontal.

A: y=x4-6x2+4 Differentiating with respect to x, we get dydx=4x3-62x+0=4x3-12x Now the tangent line is…

Q: Find the slope of the tangent line to the graph at the given point. (4 – x)y? = x³, (2, 2) Cissoid:…

A: Slope of tangent line =dydx(4-x)y2=x3differentiating w.r.t 'x'y2d(4-x)dx+(4-x)dy2dx =…

Q: y= x² +9

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Q: At which point on the curve y = 5+ 2e- 3x is the tangent line parallel to the line 3z-y= 5? Just…

A: NOTE: Refresh your page if you can't see any equations. . the given line is  here coefficient of…

Q: For what point on the curve of y=5x^2+9x is the slope of a tangent line equal to -21?

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Q: Estimate the slope of the tangent line at the point indicated. P(x) = ex ; x=0

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Q: Find the equation of the tangent line to the curve y = 5x² - 7 at a point x = 1.

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Q: Where on the curve y = (49 + x?)¯ does the tangent line have the greatest slope? NOTE: Enter the…

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Q: Find the equation of the tangent and the normal to the curve y=5x4 at the point (1,5)

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Q: find the equation of the tangent line and normal line to the ff. curves at the indicated point.

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Q: Edit Find the equation of the tangent line to the graph of y = 8" at x = 1. NOTE: Round the slope to…

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Q: Write the equation of the tangent line to the curve y = x3 + 3x - 8 at (2, 6).

A: To find the equation of the tangent line to the curve y=x3+3x-8 at (2,6). Solution: We know, The…

Q: Find the slope of the tangent line to the graph of y = x2 where x = -.2.

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Q: (A) Find the equation of tangent and normal to the curve 2x2 + y = 9 at (-2, –1).

A: To find the equation of tangent and equation of normal at the given curve .

Q: The Gateway Arch in Saint Louis is modeled by the curve: y = 210 − 20 cosh ( x/30) . At what height…

A: yx = Height of the Gateway archyx = 210 - 20coshx30         Blue curve---------------------formulae…

Q: Find the equation of the normal to the curve y=x²-x -2 at the point (1, -2)

A: Given curve , y=x2-x-2 we have to find the equation of the normal to the given curve at the point…

Q: y = 4x3 – 12x² – 16x at x = 1

A: Equation of line at point (a, b) and slope m is : (y - b) = m*(x - a)

Q: Find an eqaution of the tangent line to the curve at the given point. y = 4x - 3x2, (2,-4)

A: The given function is y=4x-3x2 and the point is 2,-4

Q: What is the x-intercept of the tangent line to y=ln(x) with a slope of 8?

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Q: Find the slope and the equation of the tangent line to the curve and explain briefly.  y = 2x^2 –…

A: The slope of the curve at any point  x1,y1 can be calculated by using the formula m=dydxx1,y1 ,…

Q: At which points on the curve y = 1 + 60x3 - 2x does the tangent line have the largest slope? (х,…

A: Given,           y=1+60x3-2x5

Q: Estimate the slope of the tangent line at the point indicated y(x) = 1/ (x+2) ;        x = 2

A: Solution:Given   y(x)=1x+2To find the slopeFormula:slope=dydxddxxn=nxn-1

Q: At what point of the curve y = 4cosh(2x) does the tangent line have slope 4?

A: y=4cosh2x Slope of the tangent line is the derivative of the given curve. So differentiating with…

Q: Describe the slope of the tangent line to the graph of f(x) = e* for the following. (a) x-- (b) x-0

A: The slope of a line is the tangent of the angle that the line makes with the x-axis. The slope of…

Q: For what point on the curve of y = 3x - 6x is the slope of a tangent line equal to 0? %3D

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Q: Find an equation for the tangent line to the curve n = 4- 2 at (-1,3).

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Q: At what point on the curve x = 9t2 + 7, y = - 5 does the tangent line have slope ?

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Q: The equation of the line tangent to the curve at (−1,4)is x+y=3. What is the slope of the normal…

A: Product of slopes of two perpendicular lines is -1.

Q: 3) What is the slope of the tangent line to the graph of y=(x-1)/(x+1) at x=0? Please answer this…

A: topic- slope of tangent line

Q: Differentiate implicitly to find the slope of the curve at the given point. 3-y3=D5; (3,5) %3D 0 2…

A: We have to find the slope of the curve at the given point. For this we will find derivative dydx…

Q: What is the equation of the normal line to the parabola y = 2x? – 5x + 1 at the point on the…

A:

Q: Find the equation of the tangent lines and the normal lines to the curve y = √2x-1 at x=5

A: Find the equation of tangent line and normal line to the curve y=2x-1 at x = 5.

Q: find the equation of the line tangent to the graph of y=3ln⁡(x) at x=3. Tangent Line:…

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Q: At which points on the curve  y = 1 + 40x3 − 3x5  does the tangent line have the largest slope?

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Q: At what point is the tangent line to the curve y = 2x to the line x - perpendicular – y – 8 = 0?…

A: Let the point is (a, b), so the slope of the tangent line to the given curve can be determined as,…

Q: Find the point(s) on the graph of y = (x2 - 143)eX where the tangent line is horizontal.

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Q: Select all the tables in which the y-value changes at a constant rate per x-interval.

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Q: At what point of the curve y = cosh x does the tangent have slope 1?

A: Given curve is: y=coshx

Q: Use the guidelines of this section to sketch the curve   y = x e -x

A: Consider the given function as y=xe-x

Q: Show that the curve y = 6 x 3 + 5x -3            has no tangent line with slope 4.

A: y=6x3+5x-3 has no tangent line with slope 4

Q: Find the equation of the normal to the curve y=x2-x-2 at the point (1,-2)

A: To find the normal to the curve.

Q: write the equation of the tangent line to the curve y=x^3+x at the pints where the slope is 4.

A: In this question we have the curve and slope 4 . We have to find the equation of tangent when slope…

Q: Where on the curve y = (100 + x?)- does the tangent line have the greatest slope? NOTE: Enter the…

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Q: What is the slope of the line tangent to the graph of y=[9x^2]/[x+2] at x=1?

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Q: Approximate the length of the curve accurate to two decimal places

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