Which of the following expressions gives the length of the curve y = e3« from æ = -1 to x = 2? • 2 | V1+ e3 dæ I V1+ 3e" dz | V1+ 9e™ dæ 6x

Q: The distance of the point (1, 2,1) from the line 2/3 3 20 В. 3 23 C. 5 5 D. is A.

A: To determine which of the following is not trueA. p∧~q↔p→q is a tautologyB.{(p→q)∧q→r}→p→r is a…

Q: Find the distance from the point s(1,-6,2)to the line x = 2 + 3t, y = -4 + t,z = –2t Ans >>d=1.79

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Q: Find the slope of the tangent line to the curve - 3a? + xy + 3y³ = 45 at the point (– 3, 3).

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Q: show all steps please! thank you!

A: The slope of the tangent line at point (x,y) is given as

Q: The length of the curve y= is equal to x =3: from to 을(x2 + 2) O a. 12 Ob. 1 O c.9 Od. 3

A: We can use the application of integration in order to solve the given problem.

Q: 3 4 y=2xt (1, 2) 3 x L is perpendicular to y = 2x

A: Equation of line L ......x+2y-5=0 For detail...go through the solution

Q: The slope intercept form of the line y - 1 = 1/3(x + 4) is y = 1/3x +5. O True O False

A: Topic = Coordinate geometry   FALSE

Q: 3) Find the z-coordinate(s) of the point (s) on the curve y = ³ + 6x² - 2x + 15 where the tangent…

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Q: The root/s is/are the point/s of intersection between the curve and the x-axis. O True False

A: Generally the equation of a curve or line will have a 'equal to' symbol with it. The…

Q: A curve has implicit equation 3x² y - 5y = 2(x + 8) x ER, YER, y # 0.

A:

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

A: we have to solve the problem

Q: 37. y = sin x + /3 cos x, -2<x< 2m

A: Answer: The curve is shown below:

Q: 1/ 2 100% 1. The ellipse 2x? + 3y2 4 is drawn below. %3D 4. Find the slope of he tony ent at (I,).…

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Q: Find an equation for the line tangent to the curve y at the point (4,27). = 3 x - 2 Find an equation…

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Q: Let x = a(cost + sin t), y a(sint- teos t). Find C. tant D. cott 38. A. sect B. cost Eliminate the…

A: (38) Given that , x=acost+tsint , y=asint-tcost find dydx=?

Q: Graph the relation 8 — 10х — Зх2 y 2 — Зх - | from x = -3 to x = +3. Is the plotted curve a straight…

A: Given y=8-10x-3x22-3x.We need to plot the graph for the above function from x=-3 to x=3.

Q: Find a value of x for which the slope of the curve y = x2 - 6x + 5 is zero. Select one: O a -1 O b.…

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Q: Determine the equation of the tangent to the graph of y- x - 3x + x+3 at the point (- 1, -2). O a)…

A: We have to find the tangent of the given function at point (-1,-2).

Q: br II) passing through P=(2,-1) and is perpendiculed to the line √x=2-t y=3 In normal form.

A:

Q: The slope of the line normal to the curve ex- x³ + y2 =10 at the point (0, 3) is: A. -1/6 B. 1/6 C.…

A: Equation of curve,Point

Q: With respect to attached figure, equation of line "L" is: a. x+y-8=0 b. 3x-2y+6=0 c. 3x+y-16=0 d.…

A: The equation of a line passing through two points (x1,y1) and (x2,y2) is

Q: 3 2 1 Y from y = 1 to y = 11 - 3. ||

A: To find the arc length of the curve x=y323-y12 from y=1 to y=11. Result: Length of a curve y=f(x)…

Q: Which of the following is the equation of the curve having its slope always equal to half the…

A: We want to find true option.

Q: Is the line y = −4x + 4/5 parallel to the line y = 4x + 5 ?

A: We compare y = −4x + 4/5 with y=mx+bSo, m= -4

Q: Evaluate |(xy? + 4) ds where C is the portion of the line segment from (1,2) to (3,-4) and then from…

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Q: For what values of c is there a straight line that intersects the curve y = x' + cx' + 12x² – 5x + 2…

A: Given the equation of a curve , y=x4+cx3+12x2-5x+2. To find the value of c such that there is a…