Find d?y/d?x from x=t²-3t+4 and y=t? +4t -5. 2t-3 2t+4 а. O b. 1 14 (2t-3)3 С. d. none of these

Q: 2-x2 Evaluate Jenyz dy dx x²+y? 2 Select one: a. Non of them b. 1 /2 C.

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Q: y? If dy 1 then find the value of at the point (-3, 2) 62 dx 62 2a? -362 2a? 362 2a? 3a? 262 +

A: Given that, x2a2+y2b2=1 We need to find the value of dydx at the point (-3,2)

Q: (a) 2+j - j(x+jy) メ=? y-? 1-j (b) (2+j)(3-j2) = a+jb a=? be? ((メ-j2y) -(y-Jx)-2) x? y?

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Q: V3 which of the following is equal to J, 1 dx ? 1+16x? 4 A. 3 O Option 1 Option 2 C. D. 12 Option 3…

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Q: xt=0xt-1 + Et +0€t-1 assuming that ø| < 1, and E(?) = 0², E(et, &s) = 0 ts.

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Q: b -x" + -xP +C. What a d heral antiderivative of (3x2 - 4) 2x2 can be written as m m

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Q: х— у Given: z = x+y dz Find: ду dz — 2х dz -2y ду (х + у)? ду (х + у)? dz 2(х — у) dz ху ду (х + у)?…

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Q: d²y -4 If x? + y? = 4 then show that dx?

A: By simply differentiate  with respect to x to find d^2y/dx^2

Q: dy x*y3 = X dx and y(0) = 2.

A: find the solution of the given differential equation

Q: T scosce) 25-r2' 2. dz dr de 0 0

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Q: 8. If x = 1- 1 and y = In 1, what is in terms of 1 ? dx (B) 21 (C) -- (A) (D) 212 (E) 214

A: Given x=t2-1,  y=lntdxdt=2t,  dydt=1t Now,  dydx=dydtdxdt=1t2t=12t2

Q: dy Find at (x, y) = (3, 4) and z? = a²+y² if d = x² + y? if 1 аnd 2 6. dt

A: Given z2=x2+y2, (x, y)=(3, 4), dxdt=1, dydt=2. When x=3, y=4, z2=32+42   =9+16   =25 ⇒z=5

Q: ン Frnd in side r=2 inford quarler aren aul sde r= 1+s6

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Q: ance Y metres .12 red by a body in t given by s = 3t? - %3D he body will stop after

A: The distance covered by a body n t seconds is given by S=3t2-8t+5. The body will stop when the…

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: tane de sece 4 Q10 3 7 a) 2-2 b) (2 1) c) 24-2 d) (2 -1) 1/3 1/5 5/4

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Q: 9. x=t² +1, y = 3t² + 2t . d y b) Find dx? Show All Work and Give Answer In Simplest Form.

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Q: Find dy for the given values of x and Ax. y = 5x° - 9x, x= - 2 and Ax= 0.2 dy =D %3D (Round to the…

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Q: d² y If ax? dx? 3. Find + 2 hxy + by = 1, h? - ab Ans. (hx + by)

A: So in this we have to differentiate twice. I'm providing hand written solution.

Q: ху? + х — 2у + 3)ӑx + x?ydy %3 2(х + у)dy, when x %3D1, y %3D 1

A: Answer and explanation is given below

Q: For a given table 4 y 5 9 16 23 d’y Find the value of at x = 4 using forward difference formula. dx…

A: The derivative at a point can be calculated using numerical differentiation. The approximate value…

Q: 8x? -x t 8 x (x² + 4) 9. b.4mx4 3m (x+4-ラ4an)tc c. qlnxf 6m (x"+4)-Arctan )t c d. 2mxt 6m Ge?+4) -…

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Q: If y = 3x + 2x² + 4x – 5, 4х — 5, dy find at x = 1. da? a. 24 b. 26 С. 22 d. None

A: solution

Q: Find /| v'e*** - y? when D={(x,y)E R? | x>0,y>0,x² + y?<1}

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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: ,-(ax²+2bxy+cy²) dædy = e (Hint: Let s = x+By and t = yx+8y, where (ad – BY)² = ac-b². Then ax?…

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Q: 5. f(t) = e*, -n < x < 0 %3D

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Q: d²y Compute dz? at the point (1, 2) given a² – y² = -3. a) 3 b) 4 9 d) 8 e) O

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Q: a) Find the values of A and B if - {(x² + Ax + B)e*} = x²e* dx Hence, evaluate S, x²e*dx

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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

Q: - 4. Find the D₂R(t)|| and ||D,R(t)|| if R(t) = 2(e² − 1)i + 2(e² + 1)j + e¹k.

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Q: xy? Find R -dA, R = [0, 2] × [- 1, 1] x2 + 1

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Q: D. E +xy = axj Solue %3D D

A: Bernoulli's differential equation.

Q: 2 /a +x? +Va? - If y = Ja? +x? Ja? -x - va Show that 2. a? 2a? 1+ Ja* – Va* –x* 3 dy dx

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Q: The value of k so that (y³ +kxy* – 2x)dx + (3xy? +20x?y³ )dy = 0is an exact equa is: а. 10 С. -5 b.…

A: A differential equation of the form Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x

Q: d cSc z = -csc z cot z dz

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Q: alve the following problem by y' = 1 ++ xy yca? = 1 , k = 0.1 a two-step methad.

A: Please refer to the image below

Q: a. Find 9 of the following. dx dy 2. y = (V4x – 3x)' 3. у%3D (4х — 7)11 (2x + 5)15 4. y = xVx(x? –…

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Q: Ex6: Find for the foll dx a) x² y? = x? + y? 2 X-y c) - = 2 at P(3,1) x-2y Sol:

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Q: dx If S V(4+x?)3 = Sh(0) d0, then h(0) de %3D A 1 D 4 (B

A: Given : ∫dx(4 + x2)3 = ∫h(θ) dθ   To find ∫0π2 h(θ) dθ.

Q: () fo lve the IVe X = (, :)x, xc)= x(0) =

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Q: D Frnef far s ? syf 2=7

A: You must have idea how to solve the equation. The explanation part is given below.

Q: te² i· k) dt V1 – ? 40.

A: Solving by definite integral we have

Q: 5. For what value of k, k> 0, does (6kx-2k) dx = -k³ ? о 1 02

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Q: d --x" + -xP +C. a The general antiderivative of (3x2– 4) 2x2 can be written as - m What is the…

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Q: 4. sE dx = Inlxl- e* +C %3D (品)+c S(D-) dx =- Ialal + c 5. S2+*dx = 4 Ina Inixl 6. 2 In3

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Q: Σχ Ey Σχ Ey? Exy N 21 25 143 161 133 4 What is the correction coefficient (r)?

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Q: Find dy for the given values of x and Ax. y = /2x+9; x=1; Ax= 0.12

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Q: Find L ft ={fe',01 el-s -1 b. 1-s e -1 et -1 а. 1-s C. 1+s e- -1 d. 1-s

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