Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² + y? – 6ax 0 and x + y = 6a is revolved about x = 0.

Q: . Solve the initial value problem (zln z)y/ + y = x²e y(e) = 1 ze² +1- ee+1 e (x + 1) +1– e°(e+1) (b...

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Q: Find ſ z2 sin z dz

A: We can find the integral in the following steps

Q: ,In sec2(sin2y)dy can be evaluated by writing it as sec2y (A @ In sec2( sin2y) · cos2ydy ®/ sec2(sin...

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Q: -4 8-y y dx dy J2 y

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Q: 2. Find the derivative of y = (5x³ + 2 x)tanx. %3D

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Q: 2 cos e de 2 V1 – sin 0

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Q: (Q.2) Describe how to use the weighted residual method (2-term polynomial approximation) and write d...

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Q: The manager of a large apartment complex knows from experience that 90 units will be occupied if the...

A: Explanation of the answer is as follows

Q: Express the integral in terms of the variable u, but do not evaluate it. eS-4 dz; u = 5z – 4 NOTE: E...

A: ∫01 e5x-4dx  here change the variable x to u u = 5x -4 du/dx = 5 dx =du/5 limit is change from  if x...

Q: 4. S 2z3 e1-² dz

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Q: triple integral of  3xy dV, where E lies under the plane z = 1 + x + y and above the region in the ...

A: Let's find. 

Q: Characteristics of Rational Functions Determine the Horizontal Asymptote for each of the following f...

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Q: Find the volume generated by revolving bout the line y = -1 the area bounded by (x – 2)2 = 4(y + 2) ...

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Q: x dx

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Q: Determine whether the function has an inverse function. Зх + 7 f(x) 7х + 2 Yes, f does have an inver...

A: To find the inverse of a function

Q: Find the indicated derivative for each of the following functions and evaluate as indicated: A. f(x)...

A: Take the derivative using power rule of derivative then substitute the value of x and simplify. 

Q: Find the Laplace transformation of coskt+t3/2+t/2

A: laplace transform of coskt + t3/2 + t1/2 = s/(k2 +s2 ) + 3π/4s5/2 + π/4s3/2  transform of function a...

Q: a. How much Valium remains in the person's bloodstream 12 hours after taking a 10-mg dose? Round to ...

A: Equation is directly given so put the value and get the answer. In option c , first differentiate an...

Q: dy If y = In V4x² + 5x_then dx

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Q: Find the antiderivative, G(t), of the function g(t) = (3n²t² – t*)V3n² – t².

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

Q: 5. Find the derivative of y = In(cos v3x + 2 ), by using chain Rule.

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Q: pload answer sheets Find the Laplace transformation of H(t-4)e“-4)

A: Solution is given below:

Q: Sketch the line that you think best approximates the data in the scatter plot. Then find an equation...

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Q: 4 1 -dx using the midpoint rule with three subdivisions to four decimal places. In(x) Approximate Th...

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Q: Solve the Lagrange's partial differential equation 2 z* p – xy(x² + yz)q = xz(x² + yz). 4

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Q: Find the truncation error of the following Maclaurin series given that it is truncated into 3 terms:...

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Q: Find all critical points of f(x) = 9x³ + 9x-³. (Use symbolic notation and fractions where needed. Gi...

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Q: Evaluate this function of z = cos x sin y; x = u – v, y= u² + v². Use chain - dz rule to find ди А. ...

A:   The given function are z=cosx siny; x=u-v, y=u2+v2.   Rewrite the given the function as follows. z...

Q: Sy? sin y dy

A: Here we have to integrate the given integral

Q: For each differential equation, indicate the order (as a number) and whether the equation is linear ...

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Q: Find the derivative of the following trigonometric functions and simplify if possible. Box your fina...

A: Just take the derivative of given function and get the required solution.

Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Endpoints of ...

A: Our Aim is to find the standrad form of the eliipse satisfying the given conditions:-Endpoints of th...

Q: 4 antegrate the ff 2. (ax-6)*dx 2. (x2 +5x DISTRI BUTI VE PROP.

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Q: S csc?0cot0(1 + 3 co te)ede

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Q: Find the derivative. y = arctan(4 tanh(x)) y' = Need Help? Read It

A: differentiate y with respect to x. to get the results.

Q: A dart is thrown at a number line in such a way that it always lands in the interval (0,10J. Let x r...

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Q: dy Find , for the implicit function 7 x²y³ + 2 x² = 3xy. dx

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Q: Vx- 2 dx E+ 1)

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Q: Evaluate the integral. d.x NOTE: Enter the frullu simplified ansuner with no fractions 2/21der the s...

A: To evaluate the given integral.

Q: Use the Root Test toO determine if the series (-1)" 2/n Σ CONVERGES en? (2n2 – 1)" n=1 converges or ...

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Q: V- 2 dx +1)

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Q: Find the area of the region enclosed by the graphs of 1 1 1 – 16æ²' Y = 0, x = 0, and æ NOTE: Enter ...

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Q: Solve for the derivative of the following and simplify if possible. f(w) = tan w sec w

A: We can find the derivative as below using the product rule

Q: 3 dx V9 – x2

A: We know that, ∫dxa2-x2=sin-1xa+C   ∫03dx9-x2=∫03dx32-x2                    =sin-1x3+C Now applying t...

Q: 4. Find . d?y of the functions x = 1+ cost and y = 1– sin t. dx2

A: Differentiating given parametric equationswith respect to t,x=1+costdxdt=-sint ...(1)y=1-sintdydt=-c...

Q: Show that e, sin x, cos x are linearly independent using Wronskian Method.

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Q: 2 (х + у)dx dy 1. 3.

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Q: x* + 3 dx x2 3 +C 2 с. d. - 4) dx 3x3 +C

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Q: Question 10 If 8 (x) = | sinx dx and g =3, then g (0) is equal to (A) B 2 c) -2 D 4

A: Explained below 

Q: (x + y)dx dy 1 3. 2)

A: Solve the integral.