6. Give the slope of the line that passes through the points P and Q on the graph of f(x) = = COSx 1f 2Tt and Q has an xr-coordinate of 3 5л P has an x-coordinate of 4

Q: 2 Find an equation of the line L, where L is perpendicular to y =x and passes through the point…

A: Given a Line L which is perpendicular to  y = (2/3)x  at point (3,2)  Equation of line L is…

Q: 1 3 The x value(s) of the points where the tangent lines to the curve ³-4x that have a slope equal…

A:

Q: 1. The ellepse ax? + 3y2 =4 is drawn below. %3D い等)。 Find the slope of he temg ent at

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 2 Find the distance from the point B = [0 5 0 to the line 1 +t| 0 -3

A: Here we will find the distance between the given point and line,

Q: ms. 4x Find the equation of the line tangent to y = e "* at x = , In 5. 4 The equation of the line…

A: Given: y=e4x To Find: Find the equation of the line tangent at x=14ln5 Concept: i. ddxeax=aeaxii.…

Q: It is given to you that na equation of the tangent line to the graph of y=g(x) at x = 25 is…

A: Given that at x=25, 2x+12y=-34 is a tangent. for x=25, 2(25)+12y=-3450+12y=-3412y=-84y=-7This means…

Q: 20. Find the point on the curve y= /x that is closest to the point (3, 0).

A:

Q: Suppose the line tangent to the graph of f at x = 4 is y = 6x +5 and suppose y = 5x-1 is the line…

A:

Q: Which of the following is a parameterizatino of the line that passes through the point (5, 4) With a…

A: Let's find.

Q: (i) Find the values of k for which y= kx + 2 is a tangent to the curve y= 4x2+ 2x + 3.

A: If y = kx +2 is tangent to the curve y=4x2+2x+3, then the point of intersection of the line and the…

Q: Which of the following is a parameterization of the line that passes through the point (1, –3) with…

A: First frame the equation then verify all the given option.

Q: Find the equation(s) of a line that is tangent to f(x) =4x - x² and pass through P (2,5). (Provide…

A:

Q: 9. Given that the graph of f passes through the point (1, 5) and that the slope of its tangent at…

A:

Q: 11. Find k if the curve y=x +k is tangent to the line y= 2x.

A:

Q: 19. Find the equation for the line tangent to the given curve y f(x) at the point P. (a) f(x) =…

A: Given, f(x)= 2x²+5x-10 P=(x,y)=(1,-3)

Q: 9. If h(1) = 2 and h'(1) = 3, find an equation of the line tangent to the graph of h at x = 1.

A:

Q: Find for following 1.y = (x + v3x)S

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

Q: 5. Find the slope of the tangent at the given points for the function S4 – x², x 15 а) P(- 1, 3) b)…

A: Topic- application of derivatives

Q: The graph of ax + b f(x) = (x+ 1)² has a horizontal tangent line at (-2, –1). Find a and b.

A: Given,           The graph of fx=ax+bx+12 has a horizontal tangent line at -2,-1.

Q: 3) Find all points (x, y) on the graph of x2/3+y²/3 = 8 where the tangent lines have slope –1.

A:

Q: 1 3x Find the equation of the line tangent to y= e at x= In 5.

A:

Q: IV. Suppose z is a function of r and y, and tan Vy² + x² 2e&y¸ Solve for az az and dy

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 5. Find the slope for f(x, y) = xey at P (2,0) in the direction of the line from M(2,0) to N(-1,2)

A: To find the slope for function f at point P in the direction of the line from M to N.

Q: 11. If f(r) = rª and g(r) = r³, then f' (x) = 4x³ and gʻ(x) = 3x². The Chain Rule multiplies…

A:

Q: 42. Find k if the curve y = x2 tangent to the line y = + k is 2x.

A: The given line y = 2x, will be tangent to the y = x2 + k if and only if it touches the curve on a…

Q: If -3=-y^2+xy^2-x^2 and it is known that dy/dx=(y^2-2x)/(2y-2xy), find all coordinate points on the…

A:

Q: 20. Find the equation of the curve for which y" = x, and which passes through the point (1, 2) and…

A:

Q: Suppose the line tangent to the graph of f at x = 4 is y = 5x +3 and suppose y = 3x - 5 is the line…

A:

Q: 7. Find the length of the curve y= x'+ I from x = 1 to x . 12x Give your answer as a simplified…

A:

Q: 5. Find the slope for f(x,y) = xey at P (2,0) in the direction of the line from M(2,0) to N(-1,2)

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: 1. Find the equation of a curve that passes through the origin and satisfies (1 + x²)y' + 2xy = 4x²

A: Given differential equation is  1+x2dydx+2xy=4x2 Simplify the given differential equation we get…

Q: 9. Find the points on the graph y = 7x - where the slope of the tangent line is parallel to x-2 28x…

A: To find- Find the points on the graph y = 7xx - 2 where the slope of the tangent line is parallel to…

Q: 2. (A) Find the equation of the tangent line tof (x) = x4 – 98x² + 82 at x = -1. (B) Find the…

A:

Q: 1. Find the equation of a curve that passes through the origin and satisfies (1+x²)y' + 2xy 4x2

A: To find the equation of the curve

Q: 7. Find the member of the curve whose slope at any point is 2e¹x and passes through the point (0, 1)

A:

Q: 11. Find all points (c, f(c)) 9. on the graph of f(z)= x³ – 3x² where the tangent line has slope

A: Given,       f(x) = x3 - 3x2       slope = 9

Q: If f'(4)= 6 and g'(4)=3, then the slope of the tangent line to the graph of y=2f(x)-5g(x) at x=4 is…

A:

Q: 20. Find the equation of the curve for which y" =x, and which passes through the point (1, 2) and…

A:

Q: 13 Let f(x) 13 is 4 The slope of the tangent line to the graph of f(x) at the point 4, 13 The…

A:

Q: If the length of the curve y = 4 x7 from the point (0, 0) to the point (Xo, f(xo)) is L= 1 (145)*…

A:

Q: Find the slope of the curve at the given point. 2y + 5x* = 3y + 4x at (1,1) The slope of the curve…

A: 2y7+5x4 = 3y + 4xSlope = m = y'14y6dydx + 20x3 = 3dydx + 4dydx(14y6 -3) = 4-20x3

Q: Sketch the graph of y = -3 sin(x) on the axes below. 4 3 2 -7/2 7/2 37/2 27 -1 -2 -3 -4

A:

Q: 2. Consider the curve given by 3y2 – 2x²y³ +2x +9 = 0. Write an equation for the tangent line to…

A: The given curve is, 3y2-2x2y3+2x+9=0 The slope of the tangent curve is given by dydx Determine the…

Q: Find an equation of a line tangent to the graph of h(x) =s at x-2 y=6x+13 O у-бx+13 y=6x+12 O…

A:

Q: O Find the equation of tne curuve at cvery point that passes through the point C0-1) and which the…

A: The equation of the curve which passes through point (0, -1) and which the normal line at point (x,…

Q: 9. If h(1) = 2 and h′(1) = 3, find an equation of the line tangent tothe graph of h at x = 1.

A: We know that for a function hx, the slope of function is represented by h'x. Now, slope m of the…

Q: It is given to you that an equation of the tangent line to the graph of y=g(x) at x=25 is 4x+6y=70…

A:

Q: 3. Find y' and the equation of the tangent line to the graph of In(ay) = y²-1 at (1,1). 11: 11:

A: We have to find y' and equation of tangent

Q: Find the condition that the line ax+by=1 may be normal to the curve an-1y

A: Given problem is : Find the condition that the line ax+by=1 may be normal to the curve an-1y=xn…

Q: Suppose f, f, g, and g' have the following values: 1 8 10 3 -1 -2 -253-252-246-248-262 14 f(x) f'(x)…

A: Given table, Given equation x3+y3=f(x)g(x). The formula used are following…