Question 16 There are two distinct lines passing through (-3/2, –3) that are tangent to the parabola y = 12 + 4r + 7. Find an equation of the line with the larger slope.

Q: Find the slope of the parabola y =x2 at the point P(2, 4). Write an equation for the tan-gent to the…

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Q: Problem 4. Find an equation of the tangent line to the curve at the following point: y = (1 – 82)1",…

A: The equation of tangent is  y-y1= m(x-x1)  Where is m is slope

Q: Question 9 A curve is given by y = ax2 + 4x+b Given that a stationary point is found at (, ) find…

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Q: Question 20 Find the slope of the line through the point (12,15) that cuts off the least area from…

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Q: Question 12 y = Inz. Show that there is a line that is simultaneously tangent to both the curves y =…

A: In the question we have show the line which is tangent to both ex and lnx

Q: Question 1 The slope of the tangent line to the curve C at the point (1, 2) is (A 4 -2 C) 2 D -4 B

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Q: Find an equation of the tangent line to the graph at the given point. (y - 3)² = = y = 1 4(x - 5),…

A: The given equation is; (y-3)2=4(x-5), (6,5).

Q: Question 15 If the line 3x - 4y = 0 is tangent in the first quadrant to the curve y=x' +k, then k is…

A: Given

Q: Question 1: c) Find the equation of the tangent line to the function y = sec²x at the point (1:2).

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Q: the equation of the tangent line to the parabola at the given point.

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Q: Question 7 What is the x-intercept of the following equation: y = 1/2x+ 1 A) (-2,0) None of the…

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Q: Question 7 Find an equation for the tangent plane to the curve given by r(u, v) = u²i – v²j+ (u² –…

A: Equation of tangent plane of a surface at point a,b,c is given by n^x-ai^+y-bj^+z-ck^=0 where n^is…

Q: Question 9 Find the equation of the tangent to y = xvx at the point where x = 4 -8 -6 2-

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Q: 7. y = 4 + In(1 – 2x) ; (0,4) ||

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Q: 1. Which of the lines in Figure 11 are tangent to the curve FIGURE 11

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Q: QUESTION 2 If e) - land f (0) - 6 then the equation of the line tangent to the curve y-for) at…

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Q: Question 5 Given a curve of y =+ If the slope is find the points that lies on the curve.

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

A: We begin by finding the points(s) of intersection of the 2 curves y =x2+7x+6  &  x-2y = 6y…

Q: Question 5 d?y dr 2 =6- 9x and which passes through the points (0, -1) and (2, 3). Find the equation…

A: Given differential equation of the curve:d2ydx2=6-9x. We have to find the equation of the curve at…

Q: Question 7 What are the coordinates of the points in the graph of y2-x2+6x – 13=0 in which the…

A: Explained below

Q: Problem 1. An Apache helicopter of enemy is flying along the path given by the curve f(x)=x2 + 7. A…

A: Pythagorous therorm and derivatives application.

Q: QUESTION 6 If fix) – x and f(x)-3x², then the slope of the curve y-fx) at x -2 is : O 12 02

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Q: Question 3 Let f(z) 2r-3z2-6z+2. Find the the equations of all tangent lines to f which are parallel…

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Q: (y – 3)2 = 4(x - 5), (6, 5) %3D y = Parabola 6 (6, 5) 6 10 12 14 -2

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Q: Question 4 The slope of the tangent line at any point (x, y) on a curve is 2. If the point (9, 3) is…

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Q: 1 The equation Y=x+4 is graphed below. Which equation would intersect this line at the point (4, 6)?…

A: let m be the slope of the line passing through the point (4,6) Then equation of the line is…

Q: Question 6 (iii) Find the coordinates where each of the following lines meets the x axis. (a)…

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Q: QUESTION 14 Fill in the blanks below to find the equation for your line of best fit: y = bx + a so y…

A: Given: 14 y=bx+a

Q: can you please ans 2.8?

A: x = 3t2 + 1    ...................(1)y = t3 - 1     ...................(2)Points = ?  where slope=…

Q: Question 3 Let f(x) = 2x³ – 3.x2 – 6x + 2. Find the the equations of all tangent lines to f which…

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Q: Find an equation of the line tangent to each of the following curves at the given point. 4x 11, 12 y…

A: The given equation of curve is y=4xx2+3                  ……(1) Now differentiate the equation (1)…

Q: QUESTION 6 Find an equation for the tangent to the curve at the given point. y = x2 - 3, (-3, 6) O y…

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Q: Question 2. Compute the slope of the secant line over the interval [-1,3] of the function g(x) with…

A: Compute the slope of the secant line over the interval -1,3 of the function as follows.

Q: Question 14 A line is tangent to y = x³ - 2 at (2,6). What is the coefficient of x when the line is…

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Q: Question 23 What is the value of the slope of the tangent line to the curve x2- 2xy – 2y² =1 passing…

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Q: Problem 4. Given a generic parabola y = ax, find the slope of the tangent at any point (x, y).

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Q: Problem 10. Find an equation of the line tangent to the curve defined by x + 6.xy + y* = 72 at the…

A: Differentiate the given equation and get slope of tangent at (2,2):…

Q: Question 4. the curve Find the equation of the tangent line to y = xV7 at r = 1.

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Q: Which of the following is the equation of the curve that passes through (1,3) and having the slope…

A: We want to find true option.

Q: Question 18 A curve has a slope of 2x and passes through (1,4). Find the area bounded by this curve…

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Q: Question:2) Which of the following point is not present on the curve which has the equation x² + y =…

A: Given: x2+y=25 The point (3, 14) is not present on the given curve Since, The point (3,14) not…

Q: Find the equation of the tangent line to the parabola at the given point. x^2 = 2y, (-2, 2)

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

Q: Problem 6. Consider the curve defined by y2 – 4xy + 2x? = 7y. Write the equation of the tangent line…

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Q: QUESTION 6 For the curve y = ax + bx2 + 12x - 7, what values of a and b will make the tangents to…

A: We have to solve the problem

Q: CABA CITY Bonus Problem: 15. Find the slope of the tangent line to the ellipse 4x2 +3y² = 16 at the…

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Q: Question 3 Find the equation of the line tangent to the graph y = x3 – 3x2 – 5 at the point of…

A: It is equation of line problem

Q: Points A and B are 1000 m apart, and it is determined from the sound of an explosion heard at these…

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Q: Problem 2.8 At what points on the curve x = 3t2 + 1, y = t³ – 1 does the tangent line have slope .…

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Q: Problem 9: For the function below, find an equation for a secant line containing (1,ƒ(1)) and (2,…

A: Given: fx=x3-x To Find: Equation for a secant line containing 1,f1 and 2,f2 Formula to be used:…