3x -dx x4 + 1 Evaluate the indefinite integral. + C

Q: St³ In t dt

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Q: Rewrite the integral in the 5 other orders. Explain your answers. 2 4-y2 f(x, y, z) dz dy dx

A: The given integral is ∫x=0x=1∫y=2xy=2∫z=0z=4-y2fx,y,z dzdydx. The domain of integral is R=x,y,z: 0≤x...

Q: Find the x vals of all pnts where the function over the given interval has any relative extrema & fi...

A: The given function,    f(x)=7sinπx ; 0<x<2π

Q: 7) Find the radius and interval of convergence for the following power series. Sn°(x – 2)" 2n n=0 Ra...

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Q: Determine the general solutions of the following non homogenous linear equations. 1. (D² + D)y = sin...

A: As per the instruction, we will be answering the first one. For (1),         D2+Dy=sin x The charact...

Q: If g = 1845°, simplify the expression sin- (sin g). If undefined, enter Ø. %3D

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Q: A moving truck rental company charges $20.95 to rent a truck, plus $0.62 per mile. Suppose the funct...

A: Given:- A moving truck rental company charges $20.95 to rent a truck, plus 50.62 per mile. Suppose t...

Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

A: The given integral,        ∫1∞dxx+13

Q: Show that V is not a subspace of R°: V is the set of all (x, y, z) such that x + y +z = 3

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Q: 2. Use central difference approximations to estimate the first and second derivatives of y = e* at x...

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Q: Find f-(x, y, z) in the function f(x, y, z) = a?y*z + ay +? +1. %3D A. fa(x, Y, z) = 4x²y°z* + x %3D...

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Q: 20 18 16 14 12 10 8 D 6. 4 0 1 3 4 6 7 8 9 10 11 12 Quantity Suppose that supply and demand at a mar...

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Q: What is the algebraic form of the complex number 13 e (A) 12+5i (в) 5-12i c) 12-5i D) 5+12i

A: We can find the exponential form of the algebraic expression as below.

Q: Find the general term of the sequence, starting withn = 1, determine whether the sequence converges,...

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Q: Consider the following function. x2 + 2x + 2 2 x3 3 (a) Find y' = f '(x). f'(x) = (b) Find the criti...

A: Given: - The function is, y=x33+x22-2x+2 To find: - (a) The derivative of the given function. (b) Th...

Q: Find y' : In(cos² 3x) = e*+y + sin-1 y

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Q: answer

A: Please refer to the image below

Q: Write -4 +3i in polar form A) 5 L 38.87° B 5 L<216.87° (c) 5L<323.13° D) 5 L<143.13°

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Q: You are designing a poster which has a border around the printed portion. The border is 2 inches wid...

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 9 lim t-0 1 + t ty

A: Given :limt→0 9t1+t-9t

Q: y = – 1/1+ Vx 3

A: Here we will find the derivative,

Q: Find the missing values assuming continuously compounded interest. (Round your answers to two decima...

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Q: Evaluate the improper integral. 9. 3x²e* dx (Express numbers in exact form. Use symbolic notation an...

A:     ∫-∞9 3x2ex=3·∫-∞9 x2exdx=3x2ex-∫ 2xexdx-∞9=3x2ex-2exx-ex-∞9=195e9

Q: Express the vector t as a linear combination of the vectors u, v and w: t = (5,30, –21), и %3D (5,2,...

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Q: If f(x) tan (5x), find f (x). Use exact values. f'(x) =

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Q: Which of the following intervals will contain all of the function values of f (x) on the interval-4,...

A: We can solve it by cross check from given options  Let we select 0 from interval [-4,1] at x=0 f(0) ...

Q: 2x2 +2x-4 lim X→1 X-1

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Q: Evaluate the following expression. arcsec(-1) Give your answer in radians. Provide your answer below...

A: Use inverse trigonometric function

Q: You are designing a poster which has a border around th printed portion. The border is 2 inches wide...

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Q: 2. Define a set X as X = RU {-}. Define two binary operations over X as follows: Addition:x O y = ma...

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Q: 13) Find the radius and interval of convergence of the power series (-2)" (x+3)" 3

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Q: Differential Equation : Linear Differential Equation of Order c) #1 only (U can answer others thanks

A: Topic:- differential equations

Q: Find the inverse for the following function f(x), and find the domain and rang for f(x): x+2 f(x) = ...

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Q: Evaluate the integral. Show all your work. sin xcos' xdx

A: 1-sin2x=cos2x ddx(sinx)=cosx ∫xndx=xn+1n+1, for any real number n

Q: Scsc' xcot' x dx S(x + sin x) dx S sec' x dx

A: We have to find the indefinite integral.

Q: 24.) The radius r of a circle is increasing at a rate of 4 centimeters per minute. Find the rate of ...

A: Area of the circle , A =πr2 ; where, 'r' is the radius.

Q: Consider sequences {an} and {bn}, where lim an = 2 and bn = (-1)". Determine which n++00 of the foll...

A: Given: limn→+∞ an=2          and           bn=(-1)n

Q: (6) Draw the graph of a (a) function ƒ satisfying Y S(1) = 2, S is continuous at 1. What is lim,→1 f...

A: f(1)=2f is continuous at 1

Q: Find the point (x,y), at which the graph of y = 8x + 9x - 7 has a horizontal tangent. The function y...

A: Given that: y=8x2+9x-7

Q: 22.) Find the slope of the tangent to the curve, y = 2x – x? + x³ at (0,2).

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Q: Evaluate the following expression. arccsc(/2) Provide your answer below: Radians

A: We can find the answer as below.

Q: Consider the differential equation = (3 - y)cos x. Let y = f(x) be the particular solution to the di...

A: The given differential equation is: dydx=3-ycos(x)

Q: Solve: (2x + 3y – 5)dx + (3x – y – 2)dy = 0 . Show solution for determining the coordinates of the p...

A: Find your answer below 

Q: For the curve xy+ x²y – xy² = 1, use implicit differentiation to find the equations of the tangent l...

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Q: For the function y = f(x) = 2x + 0: df at x da a. Find f'(-4) = Eind a formula for E-12) 4.

A: Given that: f(x)=2x3+0:

Q: Consider the series 1 Σ n(n + 5) n=1 Determine whether the series converges, and if it converges, de...

A: Series

Q: Question #2 Determine the value of so that the average rate of change of the parabola y = -2x + bx +...

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Q: Consider the function f(x)=1/x on the interval x>=1. find the Surface area and volume of the solid f...

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Q: If c = 0.118, simplify the expression cos(cos-(c)). If undefined, enter Ø. Provide your answer below...

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Q: Given the side length c = 9 and the angle A = 47° on the triangle below, find the lengths of a and b...

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