Find the values of a that make: ja- |(x– 2)dx = 6

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: Find d'yldx implicitly in terms of x and y. x²y = 4x = 6 dx2

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Q: dy Find the solution of 2ху + dx X. 2у-1

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Q: Find for the function y = 3*. dx dy dx 11

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Q: dy at the point (1,2). dx If x + xy + y =7, find the value of

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Q: y= lux of yoe Find DfR.

A: Explanation of the solution is given below...

Q: What is the value of I V16 – x² dx?

A: The definite integral ∫-4416-x2dx can be solved by applying the trigonometric substitution . Let…

Q: If xy + y2 = 1, find the value of d2y/dx2 at the point (0, -1).

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Q: Find dy/dx in terms of x and y if x8 + y? = V10. %3D dy dx ||

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Q: 4-x III. Evaluate dx. V16-x2

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Q: Differentiate implicitly to find dy/dx. - y2 = 16 x2 + y2

A: In order to solve this function firstly we need to differentiate it with respect to x on both sides…

Q: 4 dx 1+ By using (Answer one only) a- Trapezoidal rule when n=5 b- Simpson's rule when n=6

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Q: Find ay in terms of x and y. dx2 x?y2 - 8x = 3 d²y dx?

A: Given that x2y2-8x=3. Differentiate both sides of the above equation with respect to x as follows.…

Q: 32 Evaluate (t- 2t)° dt dx J2

A: Here we use fundamental theorem of calculus

Q: dy If y = esr+11 then- dx 8e8x+11

A: If function is efx,  then its derivative is f'x efx

Q: Show that -a²x² dx = VT/2a, a > 0, I = e by noting that I = -a²(x²+y³), dx dy -a²r², r dr d0. e

A: We need to show thatI=∫0∞e-a2x2dx=π2a,      a>0

Q: Find dy/dx for the equation and explain steps briefly using chain rule.   tan(7x2)= 32y+y5e6x

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Q: dy if y = 53*, than dx %3D

A: To find dydx for y=53x Let u=3x then y=5u So, y is a function of u, and u is a function of x. So to…

Q: If x3 + y3 = 2, find the value of at the point (1,1). dx?

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Q: Find dx2 if X = In(sint) , y=1+cost when t= T/6.

A: In this question, we need to find d2ydx2.

Q: Q7 Find dy using substitution: dx y = csc-(x3 + 1)

A: Put u=x3+1. Then, du=3x2dx Therefore, the expression y=cosec-1(x3+1) becomes,…

Q: dy Find dx given that +y - 5y– x² = - 4.

A: Given,            y3+y2-5y-x2=-4

Q: Find​ dy/dx by differentiating implicitly. When​ applicable, express the result in terms of x and y.…

A: Given : 5x+7y=3

Q: find the dy さ× when 3In X リ=(メ+z)m

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Q: a) Find dy =dx when y=(x² – 5x +7)*

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Q: colve dx+. y 2х y²-3x² -dy=0 y?

A: Given 2xy3dx+y2-3x2y2dy=0Need to solve

Q: dy By separating the variables, solve the equation dx given that when x = 0, y = 0

A: e^y =(e^(- x^2) +1) /2

Q: dy Solve the equation by Separating the Variables: xy+ 1) + (x - 1): dx Scanned with CamScanner

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Q: dy Find for y = x(4x + 3) dx - |3

A: The function is given by y = x4x+313 To evaluate : dydx

Q: Find dy/dx.  s = t4 - csc t + 14

A: Consider  s=t4−csct+14

Q: Let y=e" +b(x+1)'. When x = 0, suppose that dx - 0 and -0. dx Find the possible values of a and b.

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Q: - Trig Sub 1 dx V9 – x²

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Q: Find the antiderivative of dx/(49x2+16)2

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Q: dy Find of y = e4-3x + 63x*-2 x+5 dx

A: Given  y=e4-3x+63x4-2x+5 Find dydx

Q: Find y dx2 in terms of x and y. y7 = x° dy dx?

A: Remark: we know that  d/dx (xn ) = n xn-1 , where n is any integer except -1.

Q: dy Q5/ a) Find if y = esin(2x) dx

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Q: d²y Find dx ,where y = 5x – 3x²,

A: we have to find the second derivative at x=1

Q: dy Use the Chain Rule to calculate dx y= tan (3x2) Select the correct choice below and fill in the…

A: take derivative use the chain rule

Q: Find and in terms of t. dx2 x= -9 sint, y = cost dx dx2

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Q: dy Find for dx 1 y=-=-72-8√x x

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Q: Find the value of dy/dx if x = t2/(5+t)  and y= sqrt (5+t2)

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Q: f(x)dx=10 and | f(x)dx=3, then f(4 – x)dx=?

A: topic - properties of integration

Q: 4x2+y = 40 then evaluate when = 3 and y 2. dx? (Answer accurate to two decimal places.)

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Q: Q4 Find y'of y = In- %3D ? 1+e0

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Q: I need the answer as soon as possible

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: dy 3x + et Find for y = dx x2 – 5 Ans=

A: y=3x+exx2-5To find dydx

Q: find k value dx = 1

A: We need to find the value of k of the following relation.                 So,…