Question 23 Find the distance from the point P(2, 1,0) to the line 2 -2 +t

Q: Question A4 Let the curve C: f (x) = x³ + 6x² – 15x + 8. Find the value(s) of m for which the line y…

A: Given problem:- Let the curve C: f(x)=x3 +6x2 -15x+8. Find the value(s) of m for which the line y =…

Q: QUESTION 2 Solue the following inear ystem +3x3=1 2x+ X g =4

A:

Q: Consider the curve defined by the equation 2x +y 3xy for questions (4-6). 3. 2 -3 -2 -1 1 2 3 -1 -2…

A:

Q: 37. The graph of x²3 + yß = 2, shown in the figure, is an astroid. Find the equation of the tangent…

A:

Q: QUESTION 13 Given the intercept on y axis to be 21 and Sox-376 and Sxy - 1305 and for a given y- 60.…

A: To find the value of X = ?

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: Example 4: Show that the inverse of a point a with respect to the circle | z - c| = Ris the R2 point…

A: Suppose b be the inverse of point a with respect to the circle |z-c|=R Now, b be the inverse of…

Q: QUESTION 1 Find the equation of the line tangent to the curve In(x3+v) = xv3 at (1, 0)

A:

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 10 Consider the line y = ax, where a is a positive constant. What is the shortest distance…

A: Given that, The equation of line is following, y = ax…

Q: 2. Find the distance from P(1,–3,2) to the line l with equation y +t Find the point of l closest to…

A:

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 1 Find an equation for the tangent to the curve at the given point. 2. y = x-1, ( 2, 3) O y…

A: Solution: The objective is to find the equation of tangent

Q: QUESTION 13 Write the equation of the line that passes through the point P(4, 3) and is…

A:

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

A:

Q: Question 4 Given the graph of the curve r = 12 sin 2 +> 6 8 9 10 11 12 2 3 4 5 Find its length of…

A: Let's find.

Q: Question 8. Find an equation of the tangent line to the graph of y = x² +1 at the point (2, 5).

A: given function is y=x2+1 point is (2,5).

Q: Question 15 Find the distance from S= (1,1,5) to the line L: x=1-t, y=2-1, z=31.

A:

Q: Problem 15. Find the area of the shaded region between the lines y (0,3) (0,79 (5.0) X

A: Consider the region

Q: Problem 22 Find the length of the curve defined by y=5(x-1)^(3/2)-11 from x=4 to x=10

A: Given curve

Q: Question 16 The graph of e and In x is symmetric A about the line y= x В about the y- axis C about…

A: Solve the following

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: Question 8 of 10 The change in the x-coordinates of any two points on a line in the xy-plane is the…

A: The change in the x-coordinates of any two points on a line in the xy-plane is the_

Q: Question 2: The velocity of a dragster t sec after leaving the starting line is 100te -0.2t ft/sec.…

A:

Q: Question 7 of 18 Find the point (xo, yo) on the graph of y x39x2 3x - 5, at which the slope of the…

A: Given:

Q: QUESTION 24 For the curve y = ax + bx + 12x - 7, what values of a and b will make the tangents to…

A:

Q: QUESTION 6 Find in the form y = mx + c the equation of the line 3- -2, 432-1 2 3 -2- -3-

A: Here we have to find the equation of the line in the form of y=mx+c  where m is the slope and c is…

Q: Question 5 Two different level curves of the graph of z = f(x, y) can intersect. O True False

A:

Q: Question 4 What is the equation of the circle passing through the (x, y) points (0,0). (0,6) and…

A:

Q: Question 14 Find an equation of the line through the point (3, -5) and parallel to the line y 5x-2.…

A: Answer:   given line is passing by two points ( x1, y1)  and parallel to a line ,  :

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

A: we have to find the tangent line which in parallel to the line y = 6x

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

A:

Q: Question 6 of 10 Rise is the horizontal change between any two points on a line. O A. True OB. False

A:

Q: Problem 4: Find the distance from the point ( 5, - 3 ) to the line 7x – 4y – 28 = 0. С. 2.36 D. 1.38…

A:

Q: QUESTION 5 There is a point between P(1, o) and Q(e, 1) on the graph of equation y=Inx such that the…

A: Given, points P(1,0) and Q(e,1)and equation is y=lnxGiven tangent to the graph  of that point is…

Q: Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C,…

A: To find the equation in terms of x and y from the parametric equations x=ft and y=gt, we have to…

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

A:

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

A:

Q: Question 2 Find an equation for the line tangent to the given curve at the indicated point. y6,…

A:

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

A:

Q: QUESTION 5 There is a point between P(1, o) and Q(e, 1) on the graph of equation y=Inx such that the…

A: the slope of the line is =1-0e-1=1e-1

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: Question 10 Find the equations of the tangent plane and normal line to Xfy+7=4z at the poine (-3, 1,…

A: Given: Given: at the point (-3,1,-2)

Q: Question 9 Find the equation (in terms of x) of the line through the points (-2,-6) and (4,6) y =…

A: Given: Two points : ( -2 , -6 ) , ( 4 , 6 )

Q: Question 6 Consider the line y ax, where a is a positive constant. What should be the x- coordinate…

A:

Q: Question#5: Consider the point (x, y) lying on the graph of y = vx – 3. Let L be the distance…

A: From the given data:

Q: D Question 11 Find the slope of the tangent line to the curve y=rarcsin z at the point 02 √3 01/ O O…

A:

Q: ordinates of the points in the graph of y? – x² + 6x – 13 = 0 in which the tangent lin -

A:

Q: Question 6 The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3)…

A: Note that, the slope of the curve y=f(x) is given by: dydx Now, given that the slope is 2x. So,…