In Exercises 15-18, determine whether the curve has a tangent at the indicated point. If it does, give its slope. If not, explain why not. S2 - 2r - x, I<0 15. f(x) = at x 0 %3D 12r + 2, 16. f(x) = at x= 0 1/x, 17. f(x) = 4 xS 2 %3D at x 2 x> 2 4.

Q: use the method in Example 3 to find (a) the slope of the curve at the given point P, and (b) an…

A: y=x2-2x-3

Q: In Exercises 5–10, find an equation for the tangent line to the curve at the given point. Then…

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Q: lem 3.5 an equation of the tangent line on the curve y = x + 1 that is parallel to the line 32:

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Q: 1. What is the slope of the tangent line to the curve f(x) = 5a2 - e* - e, at a = -1? (A) –10 e (B)…

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Q: The equation of the tangent line to the curve at the given point. x² + y2 +3 = (2x+2y + 9x)2, (0, 1)…

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Q: 5. Find the equation of the tangent and normal lines to the curve x = t2 – 2t, y= t3 - 3 when t =…

A: Firstly we find Slope of tangent and slope of normal to the given curves and then we will find…

Q: use the method in Example 3 to find (a) the slope of the curve at the given point P, and (b) an…

A: Given, y=2-x3 Point P = (1, 1)

Q: use the method in Example 3 to find (a) the slope of the curve at the given point P, and (b) an…

A:

Q: Find the equation of the tangent line to the curve y²(y² – 4) = x² (x² – 5) at the point (0, –2). |

A: Equation of tangent line is given by:y-y1=dydxx=x1·(x-x1)      .............[1]So first find dydx at…

Q: In Exercises 33–36, find the lines that are (a) tangent and (b) normal to the curve at the given…

A: Our Aim is to find the lines that are (a) tangent and (b) normal to thecurve given…

Q: What is b &gt; 0 if the tangent line to y = bx at x = 0 has slope 2?

A: Our Aim is to find thr value of b given that the tangent line to y=bx-(i)at x=0 has slope 2.

Q: (iii) On your graph, draw a tangent to the curve, y = 2x +-10, that has a gradient of 1.

A: Given curve is y=2x+16x-10 Now, find the first derivative. y'=2-16x2-0y'=2-16x2 If the gradient is…

Q: :-1 What is the slope of the tangent line that touches the graph of In(y) +e-'=3y – 4x at the point…

A: As per guidelines we have to solve the 1st one

Q: Find the equation of the tangent line to the curve y = x + 5x^2 - 3 which is passing thru point…

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Q: The curve y = ax2 + bx + c passes through the point (1, 2) and is tangent to the line y = x at the…

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Q: Which is the equation of the tangent line to the curve x +xy = 4+ y² at the point (4,6)? a) y-6=3(x-…

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Q: (a) Determine the slope of curve y = x · Ln(x) at x = 3.

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the slope of the tangent line to the ellipse (x2/36) + (y2/49) = 1 at the point (x,y). slope =…

A:

Q: Find the equation of the line tangent to the graph of f(x)=4cos(x) at x=−π/3 Give your answer in…

A: Given :f(x) = 4cosx at x = -π3We will find the equation of tangent line

Q: The equation of the tangent line to the curve x² + y? = 25, at (8,-12) is 12 O y = ++ 8) – 12 8 8 O…

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Q: What is the equation of the Tangent Line to the curve y = 3 x - 4 x at x = - 1? A) 11x - y = 18 B 11…

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Q: (B): Find an equation for the tangent and normal Line to the curve (y 2x +4x-3) at (x1)

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Q: What is the slope of the tangent line that touches the graph of In y + e2z-1 = 3y – 4x at the point…

A: Given that: lny+e2x-1=y-4x

Q: Find the point (xo, yo) on the graph of y = x³ + 3x? + 8x – 3, at which the slope of the tangent…

A: To find the slope of the function we need y'y=x3+3x2+8x-3y'=3x2+6x+8

Q: 4. Find the equation/s of the normal line of slope 2 to the ellipse x² + 2y² = 3. 5. At what point…

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Q: Find the point (x0,y0) on the graph y=x^3 + 6x^2 +3x -5 at which the slope of the tangent line has…

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Q: What is the slope of the tangent line to the curve y=v(x-2) at the point (6,2)? 1/2 (E) None of the…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 1. Find in Barrow's way the slope of the tangent line to the curve 2x?y + 5x - xy? = 0 at the point…

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Q: Does the graph of Sxsin(1/x), x + 0 g(x) 1o. x = 0 |have a tangent line at the origin? Give reasons…

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Q: What is the slope of the tangent line that touches the graph of In y + e2a-1 = 3y – 4x at the point…

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Q: What is the slope of the tangent line that touches the graph of In(y)+e2x-=3y – 4x at the point (A 1…

A: The solution are next step

Q: 2х — What is the slope of the tangent line that touches the graph of In(y) +e-'=3y – 4x at the…

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Q: What is the slope of the tangent line that touches the graph of In y + e2"- = 3y – 4r at the point…

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Q: The curve y= ax² + bx +c passes through the point (1,2) and is tangent to the line y = x at the…

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Q: The gradient of the tangent to the curve y=-3x³ + 4ax² - 5x + 4 at x = 1 is 2. The value of a is 2.…

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Q: a. Determine the points where the curve 5x + 3y - y= 5 has a vertical tangent line. b. Does the…

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Q: 16. The slope of the tangent line at any point (x, y) on the curve is 3x2 - 2x +7. What is the…

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Q: The equation of the tangent line to the curve x2 + y? = 25, at (8,-12) is. %3D 8. (x +8) + 12 12 y =…

A: differentiate equation with respect to x. 2x+2y(dy/dx)=0 (dy/dx)=-x/y so, m=(dy/dx)|(8,-12)…

Q: Find the equation of the line tangent to the graph of f(x) = −3cos(x) at x = −π/3   Give your…

A: First, find the point of tang-ency. We know the x value we now have to find y value  Substitute in…

Q: What is the slope of the tangent line that touches the graph of In y + e2¤¬1 = 3y – 4x at the point…

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

Q: Find an equation of the tangent line to the curve 2(2² + y?)? = 25(x² – y²) (a lemniscate) at the…

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Q: In Exercises 13–16, differentiate the functions and find the slope of the tangent line at the given…

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Q: (e) Discuss the method to find the points of inflexion of a curve without using higher order…

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Q: Determine an equation of the tangent line to y = (e3x - 2)4  at the point (0,1) then solve for y.

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Q: Q4:a) find the equation of the tangent and normal line to the curve y = 10 - at point (6,4). ? 7-x…

A: (a) Given curve y2=10-67-x  The equation of tangent to the curve at point x1, y1, y-y1=dydxx1,y1x-x1…

Q: The equation of the tangent line to the curve x2 + y? = 64, at (5,-13) is. 13 (x – 5) + 13 y = y =…

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Q: In Exercises 11-20, estimate the slope of the tangent line at the point indicated. 11. f (x) = x2 +…

A: According to our guidelins we can solve only 3 subparts . Rest can be reposted. Here we have to find…

Q: Find the equation of the line tangent to the graph of f(x)=−3cos(x) at x=−π/4 Give your answer in…

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Q: a. Determine the points where the curve 4x + 2y -y =1 has a vertical tangent line. b. Does the curve…

A: Consider the given curve 4x + 2y2 – y = 1

Q: 6. Given the curve y = x/x at what point on the curve is the tangent parallel to the line 4x – y + 6…

A: We will use differentiation and slope of line to solve this.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.