12. What is the resulting image of L' after a reflection about the y-axis? Rule: K IN

Q: 13. The range of the arcsin or sin(x) is: a) (0, 2.7) b)(0, 7 ) ) 0. d) 4 '4 e) 2'2 4

A: 13) Given

Q: 3. 5y“ y = 5y^2 4. 4x*y°m', 8xy°m', x’y´m 4 3 7 т, 5 3 т, 5.2, а, ь, с b’, c

A: LCM :  least common multiple of two or many number is known as LCM .    3.    LCM of  5 y2 , y = 5y2…

Q: a). Find y' if sin(xr+ y)= y² cos x sin(x+ y)= y° cos x cos X by b). Sketch a graph of

A:

Q: 12 of 17 > Find the equation of the tangent plane to the graph of G(u, w) = sin (uw) at the point…

A: We have to find equation of tangent plane for the given Curve.

Q: Using an appropriate substitution, i) Evaluate [x (1- x)³ dr.

A: The solution for the above question is as shown below.

Q: Find the length of the hyperbolic function y = cosh x from (0,1) to (8, cosh 8)

A:

Q: A bullet fired from a gun follows the trajectory x = at, y = bt – 16t2 (a, b > 0) Show that the…

A:

Q: the length of the curve r = V1+ cos 20 for – -sos.

A: In this question, the length of the curve is to be determined. Length of Curve The length of the…

Q: What is the coefficient of x2y' in (5x- y)?

A:

Q: A curve is given by the parametric equations  x=t^2/1-t  y=t+1 give an implicit equation in x and y…

A: The required Implicit form of the curve isy2+xy−2x−2y+1=0.Explanation:Steps and explanations are as…

Q: y= 3x-2 2x+3 y"=0

A:

Q: In a particular set-up, the screen PC generated points are located at positions: A' = (113, -40) B'…

A: using softwere plot the points  we have six points that are form Hexagon

Q: Q.2 Differentiate the function y = 2x - 3x + 4 2) y = xcosx 3) y (1 + x2)3 sinx 4) y = 5) y = tan x…

A:

Q: e) ay +sina-l, (,a) Equation of tangent 2.

A:

Q: 1 17x Find the shaded area between the curves y = – and y = %3D %3D 4x4 + 4 y O 17 tan (4) (1)) - In…

A:

Q: Clearly Label the following curves in terms of f', f", f"" The graph of f is missing, but you are…

A: Given Information:There is a set of curves on xy-plane. Objective:Find the graph of  among the given…

Q: Interpret J, 1+ 2x' dx where Cis the right half of the circle of radius 2 with counter- clockwise…

A: Line integral gives work done to move a particle under a vector field from one point to another…

Q: Determine order and degree * d'y d'y + cos dr? dr? 2 O 5 undefine- Not linear

A: The degree of a differential equation is the power of its highest derivatives.

Q: Suppose that a curve is given by the equation y2=x2+x+1 which defines y as function(s) of x Find…

A:

Q: 4) Evaluate (¹ + tany)dx + xsec²ydy where C is the curve Y=X²-1 from (1,0) to (2, 3)

A:

Q: Suppose that a curve is given by the equation  x3−y3= 40xy which defines  y  as function(s) of  x…

A:

Q: Q3/ If f(x)= x=2x+1 X71, a=2 Find the followings; a) f(x) = x b) show that f(f(x)) = f (f(x)) c)…

A: "Since you have asked multiple questions with multisubparts, we will solve the first question with…

Q: 7. Use implicit differentiation to find two equations between x and y such that the tangent line to…

A:

Q: 6. (6x°-4x² +1)*

A:

Q: Find all Second partial derivatives fcx.y)- Sin?Cmx+ny)

A: Given that, f(x, y) = sin2(mx + ny) we have to find second partial derivative with respect to x and…

Q: Evaluate S (* + 7)i + (2») 5).dF. where Lis the quarter-circle with parametric form z = cos (t) and…

A:

Q: Show that UV=12 given, UX = 8, and XY = 10 using the intersecting %3D Secant-Tangent Theorem. * U

A:

Q: (y)2 1-y2 1- * when x = 1. Answer: Arcsin x Arcsin y = 3

A:

Q: g)Sinhy=tanx ind

A:

Q: 16. The y''' of the curve y = v ax

A: We know, ddxxn=nxn-1, for any real number n.

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: