Given z 8 In(t) and y 64 t2 then find fip dr dy dx2

Q: d'y & dx Find d'x to the : dy *yーy=7 %3D7

A: We have the expression x2y2-y=7. Differentiating both sides of this equation with respect to x, we…

Q: So S zy dy dx 4 c2 1 Show all steps to evaluate by hand: Vx 2y3+1

A: We have to evaluate the integral                                                    ∫04∫x212y3+1dydx

Q: Find dy/dx in terms of t if x=te^t , y=6t+6e^t dy/dx=

A: Use Product rule of derivative and find the derivative of x with respect to "t".

Q: 4. Evaluate: S. yx?dx + xzydy + xz²dz, where C:x = sint, y = cost, z = t2 , (0 st< 1).

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Q: Given z = 9t – 11 and y = 81 sin t %3D dy (i) dz dy (ii) dx?

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Q: Given f(x, y) (8a®y + 3xyf). Compute: dx?

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Q: M(x,y) dx + (x,y) dy=0 to be exact

A: Solution :

Q: dy Find - for y = du dy du = = [19+ √9 +10t2 dt. 0

A: given y=∫0u9+10t2dtTo find: dydu

Q: Given z = 11t – 48 and y = 121 sint dy dæ dy dz²

A: Given: x=11t-48   -1y=121sint    -2

Q: Given x = 12t + 42 and y = 66t2 + 143 dx (i) dt dy (ii) dt dy (ii) dx ||

A: The derivative is defined as the rate of change of one quantity with respect to another. In order to…

Q: Q2. Show that dx ax + by di dy = cx + dy di can be written as + yx = 0

A: The given system of differential equation is. dxdt=ax+by                     ......1dydt=cx+dy…

Q: dy 4. a2+ y? = ry (Bernoulli DE) dx

A: Answer and explanation is given below..

Q: Q2: If y=t? and x=3t-1 find dy/dx

A: y=t2, x=3t-1Formuladduun= n un-1

Q: for y = u dx dy 3/2 and u = 4x + 5 using the chain rule formula dy dy du Compute %3D dx du dx

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Q: Find dy/dx and d²y/dx2 for r = t2 +t +1 and y = t2 + 2t - 1.

A: given that x=t2+t+1 and y=t2+2t-1 we have to find dydx and d2ydx2 Now,          dydx=dydtdxdt…

Q: dy Find at the given point. dx 2x e 8y = 8 at (4,0) %3D

A: Given : 2xe8y = 8

Q: Given z = 17 In(t) and y = 289 t then fir dy d'y dx?

A: Differentiate given function

Q: If x = t - t3 and y = t2 – t4, the value of at t = 2 is dy dx

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Q: Given z = 3 In(t) and y = 9t then find dy dx dy dx2 |3|

A: givenx=3lnt,y=9t2

Q: dy ·Given y = 2u² and u = 8x- 1, then dx

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Q: Given z = 18 In(t) and y = 324 t2 then find dy dz dy da?

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Q: Given z = 15 In(t) and y = 225 t then find %3D dy dx d'y dr2

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Q: If y = t“, then dy 4t³. dt

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Q: : x d²y dy dx² dx + +my = 0, given that

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Q: Given æ = 36t + 19 and y = 108t² + 133 dx (i) dt dy (ii) dt dy (iii) dx || || ||

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: dz Find- at t = n, if x=21sin' 12t + 170, z=19cos12t +190t . %D dx

A: The value of sin (npi) = 0 We will put t=pi in dz/dx

Q: QA1 (a) Given that y = (3+4x²)° +10sin(5x) determine dx dy

A: The solution is given below  Please post separately

Q: Given y = u28 and u = 5– 3x?, find dy/dx. A. = 168x(5 - 3x?)27 D. dx = -28x(5 – 3x²)²7 dx dy В. dx…

A: As we know that; The Power law: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2   (1). Given: y=u28…

Q: Q2: choose the correct answer If y = * = t^2/(t^2+1) and t= v(2x+1) the dy/dx

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Q: хе*+2 y = e2x+1

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Q: Given z = 8t – 18 and y= 64 sin t dy (i) da dy (ii) dx?

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Q: Given x 13 In(t) and y = 169 t2 then find %3D dy dx dy dæ?

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Q: Given z = 15 In(t) and y = 225 t² then find dy dx dy dz² ||

A: Given : y=225×t2......(1)  x=15 lnt......(2)

Q: Sove for dy 4 X3 hy= e*csch (2-y?)

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Q: In(y) dy V. 6.

A: This is a problem related to integral by parts. Based on the general formula of integral by parts we…

Q: Q1-If x= cot-1 VE, y = find dy d2y dx' dx² at t = 2. t+1

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Q: dy Find given y = dx uv and u = 4x² – 5x +2 and v = 4x² – 5x – 7

A: It is given that y=uv and u=4x2-5x+2, v=4x2-5x-7.

Q: If x =t-1+5 and y=6+t2 then dy at t dx = 15

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Q: Find dy du dy and when y and u are defined as follows. du dx dx y = 3u² + 6 and _u = x² + 2

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Q: Given x 6 In(t) and y = 36 t2 then find %3D dy dx dy dx? ||

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Q: dy Given that y = In 9x, find dz dy

A: Use derivative rules to find dy/dx

Q: Given z=3 In(t) and y=9t² then find dy de dy da %3D

A: We use parametric differentiation

Q: Q2: choose the correct answer If y = t^2/(t^2+1) and t= v(2x+1) the dy/dx

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Q: If y = = e2a + e3x, then d y at x = 0 equals dx3 %3D

A: Given: y=e2x+e3x

Q: If x=t² - 5t and y=1-61 , then dy at t=1 is dx

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Q: dy If y=t+t and x= 5t+7 then at x = 17 is: dx

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Q: 1 Approximate xe*dx using the Trapezoidal rule with 4 points. O A.3.123 O B. 6.246 OC2.082 O D.1.041

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Q: Evaluate: [S y² dV where E the solid hemisphere x² + y² + z² 0

A: We have to evaluate the triple integral ∭E y2 dV on the solid hemisphere x2+y2+z2≤9. Observe that…

Q: Given z = 10 In(t) and y = 100 t² then find %3D dy da d'y da2

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