=5 (t- T)e2Tsin2T.dT s2(s² - 45 +5), Select one: OTrue False

Q: y= e fonksiyonunun d'y dy 11 + 27y = 27e dr 11z dr?

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Q: G) Fnd dy by Ruplicit differen tiation X +4x +15 44 -J = 36

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Q: y dy J 725 – 16y 2.

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Q: dt t3 Vt? - 9 J3v2

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Q: - y² + 22 = 169 at (5,0,12). %3D (1) . i+3 3 3 -) i+ k, 6. 12 12 =) i+k, (d) k. i+

A: In this question, the normal to the curve is calculated using the finding gradient of the function.…

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Q: esing pyphagoras th, Diff wt to t 2xda +rydy 20 at da dt az3 m

A: Apologies for the inconvenience.   Let, x = the distance from the wall. y = the height of the top of…

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Q: dy If y = (t + 7t + 6) (4t² + 5), find dt

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Q: If v r³ find dr when at 8 and r = 2 ( round your answer to the nearest tenth) dt

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Q: t(s² + t?)ds – s(s² – t²)dt = 0 %3D -

A: We have,  ts2+t2ds-ss2-t2dt=0 On re-arranging and solving a bit furthermore, we get the result as…

Q: V1-y² -1 0 kpxpzp (,x + zA),I „«-,S

A: The given integral is: I=∫-11∫01-y2∫0x y2+x2 dz dx dy

Q: Solve : dy- (- y) . Inn dy %3D ,13-1 Ordinery Dibberential equetion.

A: Solution:Givendydx=(1-y13)x2 ln xy13-1

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A: We have to find the dydx of y=4xx+x at x=1.

Q: When x = 2s+7t, y=5st and z= 3.x2 – 3, in the form of s and t. express

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Q: Evaluate xy ds, where C is describe by æ = 4t, y= 3t, 0 <t<1. Enter your answer as a number in…

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Q: EX:- Show that dw Vす 2. の ē" dw fcb)-VEerfa) %3D e dw ei

A: Using error function erf(f) .

Q: Q.2 JJR ex2-2 dxdy, where R between x2 =-y, y = 0 and x = -3 , y = -9

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Q: #o5 Selve the simultem Eou) equatis m3 using ん·T. プ=1; (()=onx() ナ? -0;1()=y() dt

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Q: Find dy for the given values of x and Ax. y= 2x° - 7x; x= - 2 and Ax = 0.2 dy =D %3D (Round to the…

A: Solution: The objective is to find the value of dy

Q: dy y? dt t t2 Select the correct response: None 2t O Y 1 – ct? - -2t O Y = 1+ ct2 2t O y = 1+ ct2

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Q: x3y5 Q3: Let x = 2 ± 0.005 ,y = 10 ± 0.01,z = 20 + 0.01 find u = %3D And fined the error ?

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Q: dz Find at (2, -2, 1) if x² + y? + z2 6xz + 6yz + 21

A: Given equation is x2+y2+z2=6xz+6yz+21 We have to find ∂z∂y at 2,-2,1

Q: Differentiate. V(t) = (t + 7e')/t %3D 3 7/)eIn(e) + v7 * V'(t) = 2

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Q: Differentiate R(t) = (41 + e)(4 - Vi). %3D Answer: R' (t) =…

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Q: P: Interpret the vate of change of re y = -2 dn'+1 +s) (4.5 - 2) with Yespect to

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Q: 2wt dt/dw = t2 - 2w3 %3D

A: The given differential equation is 2wtdtdw=t2-2w3.

Q: Use L and L to solue y' t 3y= f4) y)=5, where f4), (32)

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Q: ds Find dt S=- 3tan t-et

A: Given, s = -3tant -e-t   We have to find the value of dsdt

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Q: eY+Ve2y-4 5. x = In sove for y“ 2.

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Q: find ds/dt. s = t2 - sec t + 5et

A: Given: The function is,

Q: Q2: * Q2: y" + ay' + by = f(t) Find a,b and f(t) so that Ypı = et +t? – 1, Yp2 = e2t + t? – 1 %3!

A: Giventhat:¯y+ay'+by=ftand yp1=et+t2-1 and yp2=e2t+t2-1To find:¯a,b and ft

Q: d?y Find , if y = (60)tª + csc (5t2- e10t) + In (2t² + 3) dt2

A: To Determine: find d2ydt2 Given: we have y=60t4+cosec5t2-e10t+ln2t2+3 Explanation: we have to…

Q: dy If dz 3x - 3 and y(0) = 8, then y(1) %3D ---

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Q: dy If y = (t² + 7t + 5) (2t² + 6), find dt

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Q: af Find y dy √y+2 using the substitution u +5=√√y+2.

A: Follow the procedure given below.

Q: Q2(a). Evaluate 1 t4+9 dt 0 t4+9t2

A: solution is given below

Q: Q.1) Evaluate, (a) 3y In (y) dy 7+1 zp- (ь)

A: Find the integral

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A: Given s(t)=4t2+10t+2

Q: y (t² + 7t + 5) (5t² + 3), tin fir dy

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Q: Sove the IVP y" + 2y' + y : if 0 4

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Q: te² i· k) dt V1 – ? 40.

A: Solving by definite integral we have

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A: Derivative

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Q: y of the morning shift (from verage worker who arrives on - where Q(t) = –t³ +

A: Identifies was that this concept is used in everyday life such as determining concavity, curve…

Q: Find S- y dy Vy+2 using the substitution u +5=√√y+2.

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Q: Q2: y" + ay' + by f(t) Find a,b and f(t) so that Ypı = et +t? – 1, Yp2 = e2t + t2 – 1

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Q: a cars position is given by s(t)=10+6t+4t^3 t=3 sec what is acceleration at 3 sec

A: The position of a car moving in is given by s(t)=10+6t+4t3  To find acceleration at time t = 3.   To…