Using integration by substitution in ſ x³(x6 – 2)³dx, what is du? A. xdx В. бх5dx С. (х6 — 2)dx D. x5(x6 – 2)³dx

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Q: 7. Given y =x*in*, calculate y'. sinx sinx A) y'=xin* (sin.x Inx + cos x Inx) C) y'=x*inx + cos x…

A: For the solution of the problem follow the next step.

Q: |(9x - 5) dx, given the following. Calculate 2 X-dx 3 19 dx = 3 %3D xdx =

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A: Follow the procedure given below.

Q: x+3 3. Consider the following function. f(x) = x2 a) Find the critical numbers of f, if any. b) Find…

A: The given question has been solved in detail

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Q: 5 ): Consider the matrices A and 4 3 5 В 3 9 o]Find the inverses of A and B, using the definition of…

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A: There are 13 female board members and 17 male board members. How many ways are there to make a…

Q: 9. Find the limit, if it exists. (If an answer does not exist, enter DNE.) Vx²+x a) lim X--00 -3x

A: topic- limits

Q: Evaluate the integral. 2x´dx 4 5.

A: ∫452x2dx

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A: Follow the procedure given below.

Q: 2. sin 4x da =

A: Given query is to find the integral of the expression.

Q: 4 Calculate 5xdx, given the following. 4 4 Sxdk =75 Jax=21 665 dx = 21

A: I have stated the used formula in the solution

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A: Solution is given below...

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. tan(x) 12 x in Quadrant II %D sin(2x)…

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A: partial derivative

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Q: tan x e sec x dx

A: Given,  ∫0π4etan x sec2 x dx

Q: 10) y = A+ Cekt is a solution to the differential equation = k(y - A). a) True b) False

A: Solve the differential equation by separable differential mathod

Q: Q\ use Euler's method to the differen fial equa tion Solve y=XVXY When y co) =\ cnd

A: For the solution follow the next step.

Q: Use the shell method to write and evaluate the integral that gives the volumme of the solid…

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Q: Example 4 Identify and sketch the curve 153x-192xy +97y2 - 30x - 40y – 200 = 0

A: answer is in step 2

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Q: WRITE THE SUMS WITHOUT SIGMA NOTATION. THEN EVALUATE THEM EG+ 20) k=1

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Q: 1 f(z) = |, + tdt If then f'(x) = 3x^6 f'(-3) = 729

A: fundamental theorem

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A: Let's find.

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A: I am attaching image so that you understand each and every step.

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Q: a) Find the average of the function x²(5 – x²)2 between -7/5 and t/5 1/2 |

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Q: Evaluate the integral. 2. Se 3x dx 0.

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Q: r = 2 + 5cos0 O circle rose O inner loop

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A: Solution ) limacons  equation  r = a ± b cos θ If  a > b   = dimpled  a = b = cardioid b > a =…

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Q: a) Find the points of intersection of the curves y = -x? and y = x? – 2. b) Find the Volume of the…

A: answer is in next step

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 – 2xy + y?,…

A: Solving tangent equation

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Q: (x'+y' )dx +(2xy+ cos y)dy

A: (x2+y2)dx+(2xy+cosy)dyIt is of the formMdx+Ndy=0where M=x2+y2  ,  N=2xy+cosy∂M∂y=2y  ,…

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A: The initial amount of the substance is 400kg. After 11 hours, 140 kg of the substance is left

Q: Write an expression for the apparent nth term a, of the sequence. (Assume that n begins with 1.) 5 6…

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