1 Eliminabe the arbitrary constants C,e"cos 2x - 3X SIn 2x + - ZX Y C,e

Q: Which of the following integration expression can be transformed into integral of power 2 dx (A) 1+4...

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Q: / tan( 4x + 3) dx Evaluate: (A) –In |cos (4x+ 3)|+C 4 B 4 ® -im [sin(4r + 3)| +C В –In |csc (4x+3)|+...

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Q: The quantity of charge Q in coulombs (C) that has passed through a point in a wire up to time t (mea...

A: we have given Q 

Q: dx 4+e A 4+e B 4e*+1 E None Question 12 sin'ydy 1+ cosy A 1+cosy B 1- cosy siny sin3y

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Q: / In(sin(x))dv In order to evaluate the integral expression using simple substitution, dv =f (x)dx D...

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Q: - ydx + (x++ xy )dy = 0

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Q: In order to evaluate the integral expression / In( sin(x) ) dv using simple substitution, dv=f(x)dx_...

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Q: A. FUNCT 1. Solve for the Range and Domain of the given function: g(t) = v4 – 7t %3D

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Q: Which of the following differential equations can be solved by separation of variables? A (x²y² + x)...

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Q: dx 8) x*Vx² +1

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Q: Read each of the two statements carefully. Choose A(if both statements are true), B(if the 1st state...

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Q: (x² +2x+3)(5-x 10. g(x)= 3x+2

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Q: Obtain the derivative of the following functions: a2 + x3 + 2y = y² 10. Solve for the derivative of ...

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Q: Solve the differential equation (x² + xy² – x³)dx + (x²y – y³)dy = 0

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Q: Find the equation of the tangent f (x) = 4x – 8a at a = 16.

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Q: 9. DETAILS SCALCET8 8.2.027. If the region R = {(x, y) | x 2 1, 0 s y s 1/x} is rotated about the x-...

A: Given :f(x)=1x=y ∀x∈[1,∞)To find volume of the given region :V=π∫aby2dx  

Q: Which of the following integration expression can be transformed into integral of power Ju"du), (Cho...

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Q: In the integral, cos?tsin2tdt , the correct u using general power formula is;

A: Given, ∫cos2tsin2tdt Formula: cos2 t =(cos2t +1)/2  

Q: x-e -2r -dx x²+e-2« *2(x-e-2«) A x²+e-2r xp- – 2(x-e-2x) dx x2+e-2r B -2x 2+e =21 dx x²+e-2¢ /2(x?+e...

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Q: Match the integral expression on the left with appropriate dV so that the antiderivative will exist....

A: I assumed that option of dv is same for all prompts

Q: Solve the differential equation: dy x²y= (x + 1)(y + 1) dx

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Q: In the integral, cos?rsin2tdt , the correct u using general power formula is;

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Q: cose Evaluate the integral: de. 4- sin?e -sn (ane) c B None of the given choices © shi (sn)+c e c si...

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Q: If Mesin(2x) dx= eSin(2x) + C_then the M is equal to Blank 1 (use small letter, no spa

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use ...

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Q: Solve the initial-value problem starting from y0 = 10. dy dt = −6y y =     At what positive time doe...

A: We need to solve the given separable differential equation

Q: If Mesin(2x) dx = eSin(2M) + C, then the M is equal to Blank 1 (use small letter, no space) Blank 1 ...

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Q: Model the height h of a projectile as a function of the time t it is in the air, with h(0) as the in...

A: Domain in this context mean that the values of t which makes height greater than or equal to zero. S...

Q: Assume that functions f and g are differentiable with f(- 3) = 4, f'(- 3) = - 4, g(- 3) = - 4, and g...

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Q: E. DIFFERENTIATION Obtain the derivative of the following functions: (2x³-1)5 y = (5-3x)*

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Q: Using the substitution y = vx and dy = v dx+ x dv, the differential equation with homogeneous coeffi...

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Q: y = 5t2 - 2t + 4 -'(t) =

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

Q: In the integral, cos?tsin2tat , the correct u using general power formula is; A sint B sin?t C) None...

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Q: Find the derivative of y with respect to x. y = 8 In (4 In x) dy dx II

A: Topic:- derivatives

Q: du = In (– u) + C If u<0, then u (A) True В False

A: The statement is  If u &lt; 0 then ∫duu=ln(-u)+C

Q: Which of the following integration expression can't be transformed into integral of power Ju"du). @ ...

A: In this question , we can check which integral transformed into ∫un du.

Q: Determine the gradient of f(x, y) *sin(4y) at (x, y) = ( – 2, 3). Round to 2 decimal places. V f( – ...

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Q: cost and price​ (demand) functions C(q)=100q+44,500 and p(q)=−1.9q+880​, what is the marginal revenu...

A: We will find the marginal revenue. 

Q: Which of the following is equivalent to the integrand of ((sin(Inx7))? Which of the following is equ...

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Q: Consider the initial value problem and find the solution: a. y" – 3y" +y' + 5y = 0, b. y" + 2ay' + (...

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Q: are

A: We will find the critical points. 

Q: Write down a formula for ∂z/∂y if z is defined implicitly as a function of x and y by the equation b...

A: The given equation is yz=e3x+z.

Q: b) Find the solutions qf th equation 4.1.2 D Ø(D) 1. (D3 – 6D2 + 5D): 2. (4D2 - 3D- 10):

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Q: メT 2. 5+x of

A: The given integral is; 1/(5+x2).

Q: 3x3 -5хе^ + 2хcos(x) Evaluate:

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Q: Construct a difference table to predict the next term of the sequence. −1, 3, 21, 58, 119, 209, 333...

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Q: Match the function on the left with its antiderivative on the right side Submitted Answers Prompts C...

A: Anti derivative: If ddxf(x)= g(x) Then: g(x) is the derivative of f(x) f(x) is the antiderivative of...

Q: VI. Show that ydx = y dx it must be (a <h<b)if f(x) = 2x, a = 1, h 2 and b %3D = 4 20. f(x)dx is equ...

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Q: In(/5+ x?) +c Match the integral expression on the left with its appropriate value. Prompts Submitte...

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Q: Solve the diff eq (ху?+x-2у+3)dx +(x?у — 2х - 2у)dy %3D0

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