5. Solve 5-X Express your solution in erval no solution on a real number line.

Q: 4 %3D ») f(E) =

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Q: dx x2 +4x +5

A: Use inverse trigonometry function formula.

Q: x(x² +y* )° (ydx – xdy)+ y dy = 0 Ans. (x +y)' = 6y° In

A: Put x/y=p and solve it. 

Q: equations passing through the point (1, 0, 9) tha parallel to the plane given o t.(Enter your answer...

A:

Q: Consider the following. u = -7i – 4j – 2k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find...

A: Here, the given vectors are: u=-7i-4j-2k, v=0i+4j+4k That is: u=-7,-4,-2, v=0,4,4

Q: 3. Solve this third-order ODE by using the method of undetermined co- efficients: y" – y = exp x . -...

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Q: 1. D, (x') 2. D, (5x) 3. D. (x-2x)

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Q: the curve C:r = 1+ sin e and above the line e: r= 3/4 c

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Q: Obtain the general solution of the following differential equations.

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Q: Find the arclength of y = 4x°/2 on 2 < x < 4 %3D

A: Given :  y=4x32     on  2≤x≤4   To Find : Arc length of y=4x32

Q: 2. Find the general solution of the differential equation: dy dy -5 + 6y = e* dx? dx

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Fill in the missing numbers in the table below. Then use the table to fill in the apparent value of ...

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Q: ydx -(x +3y)dy = 0 Ans. x = 6y In

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Q: 32. At what value/s of x is the function (2 — Зх f(x) = } -|x| (x² – 6 А. 1 В. 3 С. 1 and 3 D. The f...

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Q: 37. The sales of a certain merchandising company are on their bestselling item is being represented ...

A: Let's find. 

Q: S sin(V2x)dx = sin(V2x) – V2x cos(v2x) + c %3D

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Q: Evaluate the following integral over the Region D. (Answer accurate to 2 decimal places). I 5( . sin...

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Q: Exact equations: Solve * (2x + 3y) dx + (3x + y - 1) dy = 0 O x* + 6xy + y² – 2y = c O y2 + y* = c

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Q: Construct the table of signs for f'(x) and f"(x) ginve f(x)= x4ex on its domain of (-inf, +inf)

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Q: Find a set of parametric equations for the line passing through the point (4, 0, 7) that is parallel...

A: topic - equation of a line

Q: 3. Check if the following is a separable equation. dy dx O variable separable not variable separable

A: dydx=-xyRearrange the equation;y dy=- x dxf(y) dy = f(x) dxYes,the given equation is variable separa...

Q: Determine whether each of the fo for convergence/divergence. (a) n +1

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: For each of the following rational functions, determine where the vertical asymptote(s) of the funct...

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

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Q: A data set has n items. The sum of the items is 800 and the mean is 20. (a) Find n. The standard dev...

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Q: Un h+4 %3D We need to show that Un s Unai this is true eg uivalent to in n+1 (n+1)+1 - (n+1) (n+1)+1...

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Q: y = a sin (x + b) u sin (x + b) -a sin (x + b) O a cos (x + b) O -a cos (x + b)

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Q: Find the exact value of the cos 75° using a half-angle formula. cos 75° = 2+V3 :: 2-V3 :: 2-V3 VV3-2...

A: Let's find. 

Q: Find the distance between the point and the line given by the set of parametric equations. (Round yo...

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Q: The region bounded by the curve ×=y2, the y-axis, and the line y=2 is revolved about the x-axis. Fin...

A: We have to find volume. 

Q: 2. Applying the properties of an inverse of a one-to-one function, show that the following pairs are...

A: Solve

Q: Use differentials and the graph of f to approximate the following. (Round your answers to two decima...

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Q: (cos x+xcost)dt + (sin t-t sin x)dx = 0 Ans. t cos x+x sint = c

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Q: 4. DETAILS LARAPCALC10 3.2.004.EP. Consider the following. f(x) = -4x + 3x + 2 Find f'(x). f'(x) -8x...

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Q: Which of the following functions are solutions of the differential equation y' + 2xy = 14x? y = 7+7e...

A: Linear differential equation

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two po...

A: here point are (x,y,z) =(5,-3,-2)                        (a,b,c) = (-2/3 , 2/3 , 1) parametric equat...

Q: 2. What is the slope of the normal line to the curve 4x2 - 9y2 = 1 at point (3,2) ? a. 3 b. - 8. С. ...

A: Normal at any point on the curve is a straight line that intersects the curve at that point and is p...

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point (2,...

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Q: x - 3x?y = C

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Q: 2. Evaluate the iterated integral. b. So R dx dy -2 2х 4 a. o xy dy dx

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: To find unit vectors that satisfy the stated conditions.a Same direction as -3i+2ju=?b Oppositely di...

Q: 1. Separation of Variables: Solve for: y' = yx? x* = y Inc O x* = cy*

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Q: Determine if the series is convergent or divergent. Show your work, and clearly state the test used ...

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Q: (t -x)dt – tdx =0; when t = 1, x = 5

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Q: 4 -5-4 -3 -2 -3 2.

A: From graph  as x approaches to - 2 from the left side f(x) approaches to +∞

Q: 6. (Sections 8.8 and 8.9) Determine whether the following piecewise-defined function is a probabilit...

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Q: Use differentials and the graph of f to approximate the following. (Round your answers to three deci...

A: From the given graph: f(2)=1,f'(2)=0-24-0=-24=-12

Q: Sez? dx + x* dy + y dz, Cis the line segment from (1, 0, 0) to (4, 1, 2)

A: For the solution follow the next step.