*

*
*

*

Welcome come bromheads.tv inquiry & answers Community. Ask any kind of math/science homework question and receive answers from other members that the community.Q&A CategoriesBASIC MATH(93)PRE-ALGEBRA(441)ALGEBRA 1(2,216)GEOMETRY(864)ALGEBRA 2(2,745)TRIGONOMETRY(1,186)PRECALCULUS(1,903)CALCULUS(2,791)STATISTICS(129)PHYSICS(658)CHEMISTRY(136)MECHANICAL ENGINEERING(64)ELECTRICAL ENGINEERING(207)Winplot Tutorials(2)
Most popular tagssolving-equationssystem-of-equationsfunctionsmathslope-intercept-formphysicshomework-helptrigonometric-identitiesintegrationsubstitution-methodlimitscalculus13,435 questions17,804 answers1,438 comments128,350 users
Find dy/dx and d^2y/dx^2. For which worths of t is the curve concave upward? 0 votesFind dy/dx and d^2y/dx^2. For which worths of t is the curve concave upward?x = 2 sin t, y = 3 cos t, 0 parametric-equationsfirst-and-second-derivativesconcave-upwardaskedFeb 2, 2015in CALCULUSby anonymous
please log in or register to add a comment. you re welcome log in or register to answer this question. 1 answer 0 votes

Step 1:

The curve is

*
and also
*
.

You are watching: For which values of t is the curve concave upward?

Consider

*
.

Differentiate through respect to

*
.

*

Consider

*

Differentiate v respect to

*
.

*

*

Find

*
.

*

Find

*
.

*

Step 2:

Consider

*
.

For concave upwards

*

*

Multiplying by an adverse sign will certainly reverse the inequality.

*

*

Secant value is an unfavorable in 2nd and third quadrant the is

*
.

Hence, the curve is concave upwards in

*
.

See more: Remedios Caseros Para El Mareo O Vertigo, Remedios Caseros Para El Vértigo

Solution:

*
,
*
and

The curve is concave upwards in

*
.

answeredFeb 2, 2015by cameronMentor you re welcome log in or it is registered to include a comment. related questionsDetermine the open intervals on i m sorry the graph is concave upward or concave downward.askedJan 23, 2015in CALCULUSby anonymousconcave-upwardconcave-downward uncover a set of parametric equations because that the rectangle-shaped equation using (a) t = x and (b) t = 2 - x.askedFeb 2, 2015in TRIGONOMETRYby anonymousparametric-equations discover dy/dx.askedFeb 2, 2015in CALCULUSby anonymousdifferentiationparametric-equations Assume the x and y are both differentiable functions of t and find the forced values the dy/dt and dx/dt.askedJan 22, 2015in CALCULUSby anonymousrate-of-change discover the an initial and second derivative ofaskedMar 13, 2015in CALCULUSby anonymousfirst-and-second-derivatives uncover parametric equations because that the tangent line to the curve with the given parametric equations at the stated point.askedFeb 17, 2015in CALCULUSby anonymousderivative-vector-equationtangentparametric-equations find an equation the the tangent(s) to the curve in ~ the provided point. Climate graph the curve and the tangent(s).askedFeb 2, 2015in CALCULUSby anonymousdifferentiationparametric-equationstangent (a) uncover the differential dy and (b) advice dy because that the provided values that x and also dx .askedJan 20, 2015in CALCULUSby anonymousdifferential uncover the points on the curve wherein the tangent is horizontal or vertical.askedFeb 2, 2015in CALCULUSby anonymousdifferentiationparametric-equationstangent find parametric equations because that the line through (2, 5, 8) the is perpendicular come the airplane x − y + 4z = 6.askedFeb 7, 2015in CALCULUSby anonymousparametric-equations find dy/dx because that the equation x^3-2x^2y+3xy^2=38askedFeb 28, 2014in CALCULUSby andrewScholarderivativesimplicit-differntiation discover the arc length of the curve top top the expression <0, 2π>.askedFeb 18, 2015in CALCULUSby anonymousparametric-equationsfirst-and-second-derivative discover the exact length of the curve.askedFeb 2, 2015in CALCULUSby anonymousparametric-equationslength-of-the-curve find an equation of the tangent to the curve at the given point by two methods:askedFeb 2, 2015in CALCULUSby anonymousdifferentiationparametric-equationstangent find an equation the the tangent come the curve at the suggest corresponding come the provided value that the parameter.askedFeb 2, 2015in CALCULUSby anonymousdifferentiationparametric-equationstangent uncover d^2y/dx^2 in regards to x and y.askedDec 11, 2017in CALCULUSby anonymousimplicit-differentiation discover d^2y/dx^2 in regards to x and also y.askedJan 22, 2015in CALCULUSby anonymousimplicit-differentiationsecond-derivative Graph the curve and also find that is length.askedFeb 2, 2015in CALCULUSby anonymousparametric-equationslength-of-the-curve set up an integral that represents the area that the surface obtained by rotating the provided curve about the x-axis.askedFeb 2, 2015in CALCULUSby anonymousparametric-equationsareas usage Simpson’s ascendancy with n = 6 to calculation the length of the curve.askedFeb 2, 2015in CALCULUSby anonymousparametric-equationslength-of-the-curvesimpson-rule