5

# 6 pts) Another way to express the curvature of & plane curve y = f(z) is given by the formulaIf" ()|n(x) [1 +(f'(2))21372 Use that equation to prove t...

## Question

###### 6 pts) Another way to express the curvature of & plane curve y = f(z) is given by the formulaIf" ()|n(x) [1 +(f'(2))21372 Use that equation to prove that the curvature at an inflection point of f is 0.4. (12 pts) Let u(t) = fi(t)i + fz(t)j + fs(t)k and v(t) = 9(t)i + g2(t)j + gs(t)k; and let f(t) be a real valued continuous funetion Use the definition of the derivative of a vector function (s0__a limit) to prove the following differentiation rulcs:#[u(t) + v(t)] u' (t) +v(t)

6 pts) Another way to express the curvature of & plane curve y = f(z) is given by the formula If" ()| n(x) [1 +(f'(2))21372 Use that equation to prove that the curvature at an inflection point of f is 0. 4. (12 pts) Let u(t) = fi(t)i + fz(t)j + fs(t)k and v(t) = 9(t)i + g2(t)j + gs(t)k; and let f(t) be a real valued continuous funetion Use the definition of the derivative of a vector function (s0__a limit) to prove the following differentiation rulcs: #[u(t) + v(t)] u' (t) +v(t) #[f(t)u(t)] f'(t)u(t) + f(t)u'(t)

#### Similar Solved Questions

##### 1) [12.1] Sets of numbers List 3 numbers of each of the described types. a) Whole numbersb) Integers that are not whole numbersC) Rational numbers that are not integersd) Real numbers that are not rational numberse) Complex numbers that are not real numbers
1) [12.1] Sets of numbers List 3 numbers of each of the described types. a) Whole numbers b) Integers that are not whole numbers C) Rational numbers that are not integers d) Real numbers that are not rational numbers e) Complex numbers that are not real numbers...
##### (6) (a) I+a !! Write 2 each (I-X) expression without using absolute value symbols
(6) (a) I+a !! Write 2 each (I-X) expression without using absolute value symbols...
##### The figure (Figure 1) shows a small plant near a thin lens: The ray shown is one of the principal rays for the lens_ Each square is 1.50 cm along the horizontal direction; but the vertical direction is not to the same scale. Use information from the diagram to answer the following questions.Figure1 of 1Optic axisPlantLens
The figure (Figure 1) shows a small plant near a thin lens: The ray shown is one of the principal rays for the lens_ Each square is 1.50 cm along the horizontal direction; but the vertical direction is not to the same scale. Use information from the diagram to answer the following questions. Figure ...
##### L.oDescribe the possible echelon forms of nonzero 2 *2 matrixSelect all that apply: (Note that leading entrios markod withmay have any nonzero value and starred entriesmay have any value including zero.)
L.o Describe the possible echelon forms of nonzero 2 *2 matrix Select all that apply: (Note that leading entrios markod with may have any nonzero value and starred entries may have any value including zero.)...
##### #1: Fill in this concept maj depicting the majo steps in photosynthesis in the chloroplast:H,oabsorpton ofabsorption ofPhotosystemcontainingcontainingpumpsransfersWord Bank: Electron Transport Chain ATP Synthase Calvin Cycle Light NADPH Chlorophyll Protons COz Photosystem ElectronsproducesynthesizesATPswnthesizes63P (Sugar Building Block)
#1: Fill in this concept maj depicting the majo steps in photosynthesis in the chloroplast: H,o absorpton of absorption of Photosystem containing containing pumps ransfers Word Bank: Electron Transport Chain ATP Synthase Calvin Cycle Light NADPH Chlorophyll Protons COz Photosystem Electrons produce ...
##### Homework: Section 8.2 Score 8.2.43024 M10 comnlelenHW Score: 3690 , of 25 ptsAssigned AenliSkI BuilderOueslon KEpDotormina M Iho lolkawng relation "minrhunt drivin} aqe domiin Ananane oltha relexhncknSaluAnichIeknington| 474tium MirxinMuin (OLiion?n TbonMicennetcgininlemcnettlIno ! Ihl ot Ila nnow : cortusnolds t Uaacuy O Haatem Uuwril oliha ITO Janciccmuatnneeatrianlelo AnaMtl olel Mltony , dcxl mol cutnrnoild Mncynnaehintleent Ihu (Ktl oliu @itoanMan TbunOon Tellonlunclion bocduso duch oh
Homework: Section 8.2 Score 8.2.43 024 M10 comnlelen HW Score: 3690 , of 25 pts Assigned Aenli SkI Builder Oueslon KEp Dotormina M Iho lolkawng relation "minrhunt drivin} aqe domiin Ananane oltha relex hnckn Salu Anich Iekning ton| 474tium Mirxin Muin (OLiion? n Tbon Micennetcgininlemcnettl Ino...
##### In the figure below, the uniform rod is 4.0 m long and weighs 2500 N_ A load weighing 3500 N is added to the rod at 1.0 m from point A The rod is supported by hinge at point B on the wall, and metal wire running from point C on the wall to point A. Find the tension in the wire_ ii_ Find the horizontal and vertical components of the force that the hinge exerts on the beam at B. CwirewallrodAB1.0 mload
In the figure below, the uniform rod is 4.0 m long and weighs 2500 N_ A load weighing 3500 N is added to the rod at 1.0 m from point A The rod is supported by hinge at point B on the wall, and metal wire running from point C on the wall to point A. Find the tension in the wire_ ii_ Find the horizont...
##### QUESTION 12 The probability What that Hamed is the probability may get grade A in Maths 102 that at most one of them wilh 0.8- and Shaker may 0.35 get grade A in Maths 102? get grade A in Maths 102 - is 0.65_ 0.48 0.61 0.41
QUESTION 12 The probability What that Hamed is the probability may get grade A in Maths 102 that at most one of them wilh 0.8- and Shaker may 0.35 get grade A in Maths 102? get grade A in Maths 102 - is 0.65_ 0.48 0.61 0.41...
##### Let b be a constant and dx F(x) = [ 9x2+62 Then we have F(x)-[F}:
Let b be a constant and dx F(x) = [ 9x2+62 Then we have F(x)-[F}:...
##### What product(s) would you expect from reaction of (S)-3-chioro-3-methyloctane with acetic acid? Show the stereochemistry of both reactant and product.
What product(s) would you expect from reaction of (S)-3-chioro-3-methyloctane with acetic acid? Show the stereochemistry of both reactant and product....
##### Predict the product of the following reactionCH;COOHWhat the IUPAC name for the following compound?OH
Predict the product of the following reaction CH;COOH What the IUPAC name for the following compound? OH...
##### Aseqlunco onenCAUM0U5 kvd u signticanca (c) Test Mathe ta so2uaketumMmffffmfffefmf(a] n= 14i=_nz = 105
Aseqlunco onen CAUM 0U5 kvd u signticanca (c) Test Mathe ta so2uake tum Mmffffmfffefmf (a] n= 14 i=_ nz = 105...
##### Determine which of the following equations could possibly have the given graph. \begin{aligned} &3 x^{2}+3 y^{2}=12\\ &x^{2}+4 y^{2}=1\\ &4(x+4)^{2}+4 y^{2}=12\\ &2 x^{2}-y^{2}=8 \end{aligned} \begin{aligned} &6 y^{2}-x^{2}=6\\ &4 x^{2}+4(y+2)^{2}=12\\ &6 x^{2}+2 y^{2}=18\\ &3 x^{2}-y=6 \end{aligned} (GRAPH CAN NOT COPY)
Determine which of the following equations could possibly have the given graph. \begin{aligned} &3 x^{2}+3 y^{2}=12\\ &x^{2}+4 y^{2}=1\\ &4(x+4)^{2}+4 y^{2}=12\\ &2 x^{2}-y^{2}=8 \end{aligned} \begin{aligned} &6 y^{2}-x^{2}=6\\ &4 x^{2}+4(y+2)^{2}=12\\ &6 x^{2}+2 y^...
##### Suppose that the following constraints have been provided for alinear programming model.ð‘€ð‘Žð‘¥ ð‘§ = 2ð‘¥1 + 5ð‘¥2 + 3ð‘¥3ð‘ .ð‘¡ð‘¥1 âˆ’ 2ð‘¥2 + ð‘¥3 â‰¤ âˆ’202ð‘¥1 + 4ð‘¥2 + ð‘¥3 = 50ð‘¥1 , ð‘¥2 , ð‘¥3 â‰¥ 0 Use the Two-Phase method to solve this model. Make sure to showthe optimal solution and the objective value.
Suppose that the following constraints have been provided for a linear programming model. ð‘€ð‘Žð‘¥ ð‘§ = 2ð‘¥1 + 5ð‘¥2 + 3ð‘¥3 ð‘ .ð‘¡ ð‘¥1 âˆ’ 2ð‘¥2 + ð‘¥3 â‰¤ âˆ’20 2ð‘¥1 + 4ð‘¥2 + ð‘¥3 = 50 ð...
##### I have no idea how to do this:Given that Mb (myoglobin) is 30% saturated with oxygen at pO2 of2 torr, calculate the p50 of Mb.
I have no idea how to do this: Given that Mb (myoglobin) is 30% saturated with oxygen at pO2 of 2 torr, calculate the p50 of Mb....