dy Simplify your answer. dx Calculate |X| y = x4

Q: J (x? — 4х + 4)10 dx

A: SOLUTION-

Q: dy Determine in terms of x and y for the equation x + xy² – y = 3. dx

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Q: Q5) Evaluate xe-dx 2 -2 a) 1 b) e? c) divergent 3 d)

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Q: dy from the equation 3xy? + 42- Y-5 dx Evaluate = 11 when X = 1 2x? –1

A: 3xy2+4yx-y-52x2-1=11 when x=1

Q: dy =2x – 3 and y=2 when *=3. What is the value of y when *=4? dx Suppose

A: We have to find y when x = 4

Q: d'Y Find dx X - t? + t 2) Y = t + 3

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Q: dy Given y = x" In (2x), determine dx a.x“-' In (2x) + а-1 None

A: Please refer to the image below

Q: VI-x? x dy dx •1/2 9. V3x

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Q: N) dy dx X (1+y) y (1-x)

A: Given : dy/dx = x(1+y)/y(1+x)   Note : As per our company guidelines we are supposed to answer only…

Q: D Evaluate 2x dx (I+ x)3

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Q: dy Find Simplify your answers. dx x5 coty – e-2y

A: Given , x5 = cot(y) - e-2y.

Q: Calculate dy/dx  Simplify your answer.  y = x3(8 − x2)   dy/dx=

A: Product rule:

Q: Gi iven that fx) dx: find | f(x) dx. 77

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Q: dy Which is the of the equation y = e 2x +3? dx 2 В. х+ 3 С. 2х + 3 O x + 3 2X + 3 2e 2x+3 Option 4

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Q: cost, y = sint, at the point where t 0 ≤t≤ 2π -O?! =

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Q: Q5) Evaluate xe¯*dx a) 1 b) e2 c) divergent 3 d) e2

A: Given: ∫2∞xe-xdx

Q: dy Find for the following: dx a) у- 1 + 2x3- x b) y = x° /x+ 3

A: If you like the solution then please give it a thumbs up.... The Answer is:           Result :  1 .…

Q: X=2Seco y = 4 tano find cay dx² 1. when 0-1

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Q: dy If y = utand u = 3x6 + 3, find when x = − 1. dx dy dx x = -1 = (Simplify your answer.)

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Q: dy =2x+3 and y=3 when *=2. What is the value of y when *=>? dx Suppose

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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: dy Solve the equation x = x2 + 3y dx

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Q: b) Si Va dx. (Recall that x = Vra = (V)" so could you rewrite this as a x°?)

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Q: Q: Interpret the Yate of change of y = (-2 dn*+1 + 5) (4.5 -2) with Yespect to

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Q: dy dx + x³ 3 The value of

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Q: dx 4-x とt

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Q: dy Simplify your answer. dx Calculate |x| y = %3D

A: The given function is y=xx6.

Q: -dx (use 2 5+x C when you evaluate Let x = 3.63, and y = 4.58. Determine the value of decimal…

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Q: y Find dx2 if X = In(sint), y=1+cost when t=/6. A) -26 B) -25 -27 -28

A: We have to find double derivative at t = π/6.

Q: 3. Find Simplify your answers. dx a. e*/y = x³ + y

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Q: dy 3y- + 4x = 0 dx

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Q: Determine dy/dx given y = (7u? – 2) i fu = Væ + ? 7 O a. 349x2 O b. 349z4 О с. 349x3 O d. - 349z2

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Q: d'y Find for x* +y* = 16. Express your answer in fully simplified form. dx?

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Q: What is the value of Idx? (x-x2)Z x3+1 Evaluate dx ? x2-4 f dx

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Q: Solve the first ODE and find the value ofC constant when y(1) 2 dy 6x + 4x + 4 4y dx Your answer

A: Ordinary differential equations

Q: dy Find dx Assume a, b, and c are constants. ,3 (a) x² + y³ = 8 2 (b) ax² – by? = c². -

A: Differentiation problem

Q: dy = y – xy³e-2x (final answer should be in terms of y) dx

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Q: dy Simplify your answer. dx Calculate y = dy dx II

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Q: Find dy when x =5 and dx = 0.2. y=x* - 3x° + 3x2 + 3x- 3 dy = (Simplify your answer.)

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Q: Jx² (1-x)*dx= 1 .a O 280 1 .b O 105 1 .c O 210 1 .d O 35

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Q: Ans. f(t) = te' -0.51 e %3D

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Q: dy when x = 1. dx If y = u" and u= 6x +6, find (Simplify your answer.) dx x= 1

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Q: 10 | f(=)de – f(=)dz = | f(2)dx What are the values of a and b? a = b =

A: The objective of the question is determine the value of a and b.

Q: dy Find and simplify whenever possible dx y = a3x2

A: Given; y=a3x^2.

Q: dx x²√x² + 1 2 18. 1

A: Use substitution method for solving this integral.

Q: dy for the equation 6e2ªy dx 2x + y at the point where x = Find the value of 0.

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Q: dy _ y? 12 y(2) = 2 dx - 1'

A: Given: dydx=y2-1x2-1, y2=2 For finding solution of given differential equation, we use variable…

Q: dy Find and simplify the result whenever possible dx

A: The given equation is  y=csc4x-2cot2x.

Q: + y*)dx dy B. 19/2 Evaluate A. 35/2 C. 37/2 D. 17/2 A

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Q: dy If dx 14 and y = 27 when x 1, find y(2). 3x-2 A) 27 26 B 27 40 27 27

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