36-2 dzdx dy Rewrite the integral using the order dzdydx. (6x +36-1- 076 36-y 18 18 10 ² dzdydx dzdy dx dzdydx 36-22 dzdydx

Q: By using the Maclaurin series for e^x, or otherwise, find a power series for xe^−2x. Write in…

A: The objective of the question is Maclaurin series of ex .

Q: Find the derivative of the function f. 3 √√x If your answer has a radical, express it as a rational…

A: solution:-f(x)=3xf'(x)=ddx3x        =3ddxx-1/2        =3-12x-12-1        =-32x-32         =-32x32…

Q: the open interval on which the function is increasing or decreasing. (Enter your answers using…

A: Topic:- function and application of derivatives

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Q: 4. DETAILS ZILLDIFFEQMODAP11 7.R.004. Answer true or false. The function f(t) = (et) 10 is of…

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Q: Use the graph of f in the figure to the right to complete parts (A) through (M) (assume that f''(0)…

A: Given: f''(0)<0,f''(b)>0 and f''(g)>0 From graph: f'(a)<0,f'(b)=0, f'(0)=0, f'(g)=0 and…

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Q: Show that the line y = -10x + 20 is tangent to the curve y = x4 – 4x^3 – 5x^2 + 26x – 16.

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Q: As an object in rectilinear motion moves, its signed distance s (in meters) from the origin after t…

A: NOTE: Refresh your page if you can't see any equations. . the  given position function is to find…

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Q: Give the Particular Solution of the following Differential Equation d²y 3 +2 dx² IBC: y(0) = 2 y'(0)…

A: The given differential equation is: 3d2ydx2+2dydx-8y=0 So, we can also write as; 3D2+2D-8y=0   The…

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Q: O O 01 lek 0 Question 20 f(x) ²-1 on (0,] is given. Find the Riemann Sum with 3 subintervals using…

A: The given function is: fx=x2-1 on 0,32 Find the Rieman sum with 3 subintervals using the right…

Q: A large tank is filled to capacity with 700 gallons of pure water. Brine containing 3 pounds of salt…

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Q: A. What is the size of angle a?  B. Calculate the size of angle b.  C. Calculate the size of angle…

A: NOTE: Refresh your page if you can't see any equations. . A pair of vertically opposite angles are…

Q: Verify that f has an inverse function. Then use the function f and the given real number a to find…

A: Given,           fx=cos8x , 0≤x≤π8, a=1

Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.)…

A: O

Q: Use the disk method or the shell method to find the volume of the solid generated by revolving the…

A: Here, the region bounded by the curves y=x2, y=0, x=3 is:

Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select…

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Q: f(x)=In√√5x-7

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Q: O For what value of the constant e is the function continuous on (-0, ∞) 8e-5 0e-4 Oe=1

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Q: fy X = = 11 f(x, y) = (x² + y2)2/3

A: Given the query is to find indicated partial derivative.

Q: If √√x + √√y = 8 and y(4) = 36, find y'(4) by implicit differentiation.

A: Given that x+y=8 and y4=36 we have to find y'(4)

Q: A mass weighing 32 pounds stretches a spring 2 feet. Determine the amplitude and period of motion if…

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Q: D O O 01 Evaluate lim N-00 O 12 Question 18 4 3/2 59 2 Σ [³ ( - )* - ( - )] + N by using it as a…

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Q: Find the general solution of the differential equation. (Enter your solution as an equation.) dy 8x…

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Q: Sec-S 2 1 TanOLO

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Q: A point is moving along the graph of a given function such that dx/dt is 2 centimeters per second.…

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Q: A company that produces cell phones has a cost function of C = x² - 1200x+36,400, where C is cost in…

A: Derivate the cost function and equate it to zero to find the exact number of cell phones. Then again…

Q: Find the absolute extrema of the function   f(x,y)f(x,y) = 3x^2+3y^2+2x+2y−4   on the domain defined…

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Q: 2. Find the particular solution to y " = sin(x) given the general solution y = -sin(x) + Ax + B and…

A: The general solution to the differential equation y''=sinx is y=-sinx+Ax+B

Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select…

A: In this question we have to determine the whether the mean value theorem is applied on the given…

Q: Question 17 A particle moves in a straight line and has acceleration given by a(f) - 2einf+3coef.…

A: Topic = Integration

Q: Find curl (82 i + 9x j + 6y k). curl (82 i + 9x j + 6y k) = = ( )k )i + (i )j + (

A: To Find : curl(8z i + 9x j +6y k)

Q: Convert the point (3, −3) in rectangular to polar coordinates (r, 0). 7T 18, (7) 3√2,

A: NOTE: Refresh your page if you can't see any equations. . the given point is

Q: Find fif f'(0) = 2 sin 0-sec²0

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Q: What is lim x-inf (x_n) and y=lim sup (x_n) where x_n = [(-1)^{3n}] + 2?

A: We have to find the lim inf and lim sup of sequence

Q: 3 (1 + 2x - 4x³) dx

A: The given integral is ∫131+2x-4x3dx

Q: Using the given graph of the function f, find the following (a) the intercepts, if any (b) its…

A: Given graph:-   To find:- Using the given graph of the function f, find the following(a) the…

Q: 1. Find the particular solution to y' = 3sin(x) given the general solution is y = C - 3cos(x) and…

A: Topic - differential equations

Q: press -2√3-2i in the form ree with 0 ≤ 0 < 2T. 4e 3 4e 6 4e 2 i -2 4e +i 4e Fi

A: Given the query is express the complex number in the Indicated form.

Q: b B 34° Note: Triangle may not be drawn to scale. Given the triangle above, find the following:…

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Q: Find V (V x F), if F(x, y, z) = 6ei +9rej - 7ek. V. (V x F) =

A: To find ∇·∇×F, if Fx, y, z=6exz i+9xey j-7eyz k.

Q: In your own words, explain the central limit theorem. Describe an experiment that could be used to…

A: Explanation:                The central limit theorem (CLT) is a statistical theory that states…

Q: F(x,y)=4xy-x^3-2y^2 A. Find Fx and Fy SHOW ALL WORK B. Find all second order partial derivatives of…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: and the first partial derivatives of the function. f(x, y) = 4y

A: Given the query is to find indicated partial derivative.

Q: Which of the following choices is an appropriate classification of the equilibrium point at the…

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Q: The formula for the volume of a cone is given below. Find the rate of change of the volume for each…

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Q: = 4 sec 0. Find the Cartesian equation for the polar curve r =

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