49 Vã.) х dx х. Let u = х — 9 36

Q: az If z? = y sin(xy), find ду at the point (-1, ",1) a) - 0.5 b) 플+1 c) - 2 d)-플- 1 e) 0 f) 1 g)…

A: We have to find the direction derivative from the given condition and partially derivative  at the…

Q: b) IJ 3D 10 ст, НА %3D 11 ст 55° H 25° J 140° В 60° K AK =

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Q: Write.a.ct.). in. the fa.aaT. T..aN. N. a.r(t).= (tcrst).(tsint.).j.+t.tao.

A: Here the vector r (t) = (t cos t) i + (t sin t) j + t2 k is given and write the vector in the form:…

Q: Q2: Evaluate Seas cos²(y s) ds. إضافة ملف

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Q: дz əs дz at || 11 z = e cos(8), r = st, 8 8 = √ S6 + 56

A: Solution is done in step 2,3

Q: az and dy az Ql:- Find the if Z = x* sin x y.

A: As per our company guidelines we are supposed to answer only one question.Kindly repost other…

Q: Using the substitution u = Vx, dx is equal to which of the following? 1 O A. 4 du 1 OB. 4 1 eu du…

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Q: 52. If z = f (x, y), where x = r cos 0 and y = r sin 0, find a. Əz/Ər, b. дz/80, and c. d z/Ər d0.

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Q: In AFGH, FG || IJ. Given that HF=27, HI=12, and HJ= 20, find HG. G J. H

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Q: Given z = 2 cos t + 26 and y = 5 sin? t dz dy dy dz

A: Derivative of function in parametric form

Q: Q.3 Show that Je dx=r

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Q: Q1/ If z = e*?y, x = Vuv, 1 y = Find: əz а- ди az b- dv

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Q: af and If f(s, t) = t sin st, find - as at

A: Given,          fs,t=tsinst

Q: A O chads AB and co intersect at point E. m CB = 120° and m AD =180°, find m AED. 120

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Q: 2 = e" cos u = e – r, v= re".

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Q: Given f(x,y,z) = sin (5xy) + 3xyz3. Find fzzx(5,2,3). %3D zZx Answer:

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Q: Let A() be the altitude of a rockat in miles, t hours after noon. When will the altitude of the…

A: Given  h(t)=5t+7 where h(t) is the altitude of rocket in miles, t  hours after noon.

Q: Q.1 Determine whether w, = w,, "ye w = sin y

A: Partial differentiation is differentiation of expression with respect to one of the variables…

Q: Given that E(X) = 5, E(Y) = 8, E(X2) = 68, E(Y2) = 75 and rx,y = .35, find the followings. j. Find…

A: The correlation coefficient formula between two random variables X and Y is, rx,y = Cov(X,Y)/SxSy,…

Q: Define h(*) = J¿r)d* . Then, which of the following are true?

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Q: calculate d cos(u) for following choices of U(x) d u«)=10-x, ax Cos(UCx) = uc^)= x? corfuca) ulx) =…

A: The general rule for the derivative ddxcos(u(x)) is the following. By the chain rule,…

Q: (a) Oë + pà + pax = (b) # + mx(1 – ±²)+ vg(x) = Asparagus(t), x(1) = -5, ±(1) = 10…

A: This is a problem of IVP.

Q: dz dz Find Ju when u = In 2, v=5. if z = 20 cot 'x, and x= e" + sin v. and dz (Simplify your…

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Q: V T W If RVL TW, then the altitude to base TV of RSTV is RW. O True O False

A: This question can be solved using the concept of angles between two lines.

Q: After substitution is performed, what is equivalent to u14 du 3 0 9 Su u¹4 du ,14 1. 3u¹4 du 0 2 u¹4…

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Q: For what value of Ⓒ is cotⒸ undefined? 1.0⁰ II. 180° III. 270⁰ Olonly OI and III only OI and II only…

A: This question is related to trigonometric ratios, we will solve it using given information.

Q: dw -is equal to: dv If w = 5u, then 5w5 v(1 – 20u In v) 5w v(1 – 20w5 In v)

A: Given, w= v5w⁴ To find, dw/dv

Q: define: Y ~ N„(µ, 0²I) and µ= (µ1, H2;. .. H)'.

A: Given: Y~Nnμ,σ2Iwhere μ=μ1,μ2,...,μn'

Q: 2. Given that z and w are independent variable and dependent variable dz respectively, obtain dw a.…

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Q: The sutiable substitution for evaluting csc'(x)cot5(x)dx is (a) u = tanx (b)u = cot x (c) u = cscx…

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Q: 22. Given: 4I 2 Prove: a. AJIG AJZY JG GI b. JY YZ Y

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Q: 2 Calculate the magnitude of R in ARST, if RS- 13 cm, RT 17 cm and S-15 3 Calculate the magnitude of…

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: ind a suitable A and B so that: A< S, Vx + 4 dx < B

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Q: I= || elx²+y?)² dA, where R R={(x,v)E R² | x²+y²s 25, x2 0}, then 25 si 25 4 75 ne625 <IS 25ne625 4…

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Q: 3. Find CH(t) when H(t) = (et-3)(e?-) %3D

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Q: AE and DE intersect at E. 2. Given: A AE BE DE CE %3D Prove: D

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Q: az If z? = y sin(xy), find ду at the point (-1, ", 1) a) - 0.5 b) +1 c) - 2 d) -- 1 f) 1 e) 0 g)…

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Q: Evaluate and simply S x(x2 – 3)8 dx. (Show what is u and du)

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Q: du ди Find and ds u = x• e'¨: u =x•e" ;x = In(s·t) , y = } , = = s² + ? . 2 ,==s² + t

A: According to the problem, we have

Q: F k d

A: Use conic section we can prove it.

Q: dp For p(q) = 4q-, dq dw For w(u) = 4/u, du %3D

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Q: Given: TI || HR Prove: AGHR ~AGTI H R

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Q: The identity S dyd x f, dxdy is %3D O False True

A: We need to check whether the given Identity is True or False.

Q: Find he value of ds/du at u = 2 if s t2 + 5t and t = (u? + 2u)

A: ds/du=9/2

Q: af af and dy Find

A:

Q: Find C if r(t) = ⟨et, 3 cos t, t + 10⟩ + C and r(0) = ⟨0, 0, 0⟩.

A: We have given function r(t)   r(t) = ⟨et, 3 cos t, t+10⟩ +C   We have to find the value of C   It…

Q: If So S, (x² + y² ) sin(x)dxdy= f L (2²² + y?) sin(x) dydæ a , then a, b are

A: Solution is below.

Q: d. ý <(1+s)y, ,h=o•2 yCi) = e

A: