求求各路大神幫幫忙🙏🏻

( 20 points ) Let w = *#y, x=r – 2s +t, y = 2r +s – 3t, z = r2 +52 + . Use the chain rule to find owlər, Ow/as, and Ow/at.

求解答過程

Calculus Quiz 3-1 1. (25%) Determine where the given function 1s increasing and decreasing, and where its graph is concave up and concave down. Find the relative extrema and inflection points, and sketeh the 戰raph of the function. 9 5 x+ 2. (25%) Find the absolute maximum and absolute minimum (if any) 9f the given function on the specified interval._f(x) = 二 守0 3. (25%) Arectangle is inscribed in aright triangle, as shown in the accompanying figure. Ifthe triangle has sides oflength 5, 12, and 13, what are the dimensions ofthe inscribed rectangle of greatest area? 4. (25%) Compute the elasticity of demand for the glven demand function D(p) and determine whether the demand is elastie, inelastic or unit elasticity at the indicated price p.D(p) =一1.3p+ 10;p ==4

力學 救救我 謝謝！（第三題不用）

1. Considerathin rod ofuniform linear mass density pL with mass 4/ and length /, find the gravitational potential。dp/有)。at a perpendicular distance Afrom the center ofthe rod. You may find the integral in (E.6) in Appendix E useful 2. A spherical planet of radius 人> consists ofacore of radius 有/ with uniform density pi. and a thick outer cloud of dust with umiform density p: Find the force (magnitude and direction) onamass箇inside the dust cloud ata position ARp from the planetcenter( 吃<訪<記), 3. Use Fermat's principle by applying calculus of variation to minimize the time oflight passing from medium ofrefractive index jg, to another medium ofrefractive index >, derive the Snells law ofrefraction: js光 名2s 銷 4. Consider the Atwood machine oftwo masses connected by amassless string oflength 7overapulley ofradius gas shown, (a) Write down the total kinetic energy and potential energy in terms of the coordinatex Hence obtain the Lagrangian ofthe system. (b) Derive the Lagrange's equation of motion and hence find the acceleration ofthe masses. x 和二 工

第六題 微積分求解

貸儿谷 , 399 人 20190715Calculus Mi ,香則該題不予計分 還 / $. 若一函數 /(x) = 二,一 , 則/(3)之值應為何 10. 若函數/# ' 則常數c之值應為若干? cr+76, [ex -4, 7(x)三 語Sw4 一 11. 試求lim 一?一之值 xx10 一] 12 若lm 4x+1 im一 恒 23x一4

有沒有英文跟數學好的學霸QAQ

IFY Mathematics Coursework Part1 TASK 1 Inthe early 18% century彈 人 imate value of a 抽 developed a wa全 fd an ap僻! the form of an !硬汕ite s汪稅5 and is shown below: athematicianz Calle ed Colin Maclaurinz lon. Itisim 人6 二(0二刻(0x二十二(0二 表 [a] ep 二+ whereais positve and nthe for where zand are integers and 2 1 Find 刻G0, 了Go and ///G). [Note: 9 rn as difereglon of (e+207 is 5Gz+2g9 1and follows the same pi the diferentiation of powers ofx]」 和Go) Cr = 廬外 下 AA 條0 0 全位 ) [b] Find nurherical values of /(0), 了(0 和and ro00). [2 [cj Choose avalue ofFx (which lies between 1 and 1) and use your Calculator to work out the value of_(1+2z8 with your chosen values ofx and兄 [ [d] Work out /(0) +了(0, then 7(0) 十刻(0x十二(0z2, and then 7(0) 十思(0)x十二/(0)x2二二(0)x. What do you notice? [4 [e] Now choose adifferent value ofx (which also lies between ~-1and 1) and repeat part [d]. What else do you notice? [4] Version1 1920,

請問這題怎麼解？

W ll 和 ~生 戰記 COS [e 之) “謂計

求解 二重積分 已畫出範圍 但無法得出正確答案 會用到Jacobian變數代換嗎？ 謝謝

8. 本valuate the double integral] 二人 二 ] 0 Z2 十 2 和 白9. dZZZ?/ 十 了 1

上面那個完全不懂為何可以寫成這樣😭求解謝謝 p.s我是自學的小朋友

想問下面螢光筆計算的部分是如何算出的~謝謝

pp一&r 旋補一4 所轉外 gg域之 最六生 4形貳(和械乃 2 人 讓 當 S Ps呈 和 文 aa 說 入 4 多 培 。 <7,和慎 G十D204一z 的最六則為 1生

想問一下這題...為什麼就直接是3x^2-2x+4