Direction: solve and analyze each of the following problem in neat and orderly manner. Do this in your indicated format. Perform the indicated operation. (solve using3 methods) 2. (D3 + 2D – 4) (e¯×sin x + e?x)

Q: Homework: Graph the following functions and show domains and ranges of them. 1+cos2r 1. 3. y = cot3x...

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Q: . The differential equation (2x³ – xy² – 2y +3 )dx– (x²y+2x }dy = 0 is exact because ƏM ƏN %3D ôx

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Q: D. 12.0 An electric charge produces a total electric field of 6 Coulombs. Calculate the electric flu...

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Q: Alamina occupies the region inside the circle x 2  + y 2 = 4y but outside the circle x 2 + y 2 = 4. ...

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Q: Use the root test to determine whether the series converges or diverges. If the test is inconclusive...

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Q: 8. Without a calculator, match the functions y = 2, y = e, y = 3, y = In x, y = log x with the graph...

A: Without using a calculator, to match the functions, y=2x, y=e-x, y=3x, y=ln x, y=log x with the grap...

Q: Exact Differe ntial Equation: x(3xy – 4y +6 kdx + (x² – 6x²y² -1\ty=0

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Q: Findi Fx, fox, frg, for Fag fox F(X ) = Eai () %3D

A: We find out the partial derivative of given function.

Q: Find the derivative of the function y = (cot x- csc x) 1 %3D dy %3D dx

A: ddxcotx-cscx-1

Q: 8x Use the alternative formula for the derivative to find the derivative of f(x) = x-9 ...

A: We have to find derivative by using alternative formula.

Q: Direction: Read then solve the question carefully. Click the letter of the correct answer. Find the ...

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Q: Given: f (x) = x + vx ; xo = 1 a) Find the instantaneous rate of change of y with respect to x at an...

A: NOTE: Refresh your page if you can't see any equations. . take x=1 the point on the graph is 

Q: Constants: A and B B cos(wt + A)

A: Differential equation  Elimination of arbitrary constant 

Q: Direction: Read then solve the question carefully. Click the letter of the correct answer. Find the ...

A: Slope amd tangent line 

Q: 4 (41² + 3)² dt cos t dt 1 + sin t sec x tan х dx sec x – 1 -

A:  we have to integrate the given integration 

Q: Consider the polar equation r = 4 cos(0) – 13 sin(0). (a) Convert the given polar equation to a Cart...

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Q: 1. Integration by parts: 2 3 .5x X°e dx

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Q: 1. The order of the differential equation 5x- d'y aty + 3x + w'y = 0 is

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Q: Elimination of Arbitrary Constant: y = Ax + Bx+C, A and B are constant, C is a parameter

A: We want to eliminate the arbitrary constants. 

Q: Evaluate the limit. (Use symbolic notation and fractions where needed.) ((-- ) m;) - 3n lim x-37/2 l...

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Q: 7. Find the limit of the following. a. lim(2x² - 4x + 7) b. lim X-5 X-4 x+2x -Sz-2x+4 c. lim x2 x-4 ...

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Q: The functions f, g, and h are defined as follows. 4+x? f(x) = 5 + /x+6 g (x) = x+7 h (x) = Find f(-2...

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Q: Consider the vector field F = (4x + 6y, 6x + 2y) Is this vector field Conservative? Conservative If ...

A: Vector field is conservative. Then find f(x, y) 

Q: Choose a number and apply the following operations to it. Multiply the number by 12, and subtract 8 ...

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Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct...

A: True, Differentiability implies continuity.

Q: I.TRUE or FALSE: Read carefully the statements below. Choose A if the statement is ALWAYS TRUE, othe...

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Q: ded. Give your answers as intervals in the form (*, *). Use symbol iate type of parenthesis " (", ")...

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Q: - 4x + 30 -dæ Evaluate (x – 5)(x + 5) + C

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Q: Homogeneous Diffe rential Equation: (x² + 2xy – 4y² kdx (x² –8&.xy – 4y° kty = 0 %3D Use the substit...

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Q: A potato is dropped from a height of 70 feet. Its height above the ground t seconds later is given b...

A: Put S=0 which means potato touch the groun so that height from groun is 0.

Q: Note: If the f(a) and lim f(x) does not exist write DNE. 1. lim f(x) = a-2 2. f(-5) = 3. lim f(x) = ...

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Q: 8. im e* 2x 9. lim e* 10. lim e* x+00 x00 sin 6x 11. lim 5*+6 12. lim

A: As per guidelines we can solve only one question at a time so if you need more answer kindly repost ...

Q: dx 3. (a) Evaluate S (b) Evaluate Jo x²-6x+10' 1+sin x 1 dx

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Q: 3. One of the methods used to eliminate arbitrary constant is by isolation of arbitrary constant and...

A: Here, to write the other method to find the arbitrary constant of the differential equation.

Q: Activity 3. "Let's be connected with each other" Directions: Compute f'(3) for each of the following...

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Q: A total of 12 workers can complete a project in 16 days. If after 4 days of work there are 4 workers...

A: The objective is to find the number of days in which the project can be completed. 

Q: Vx2tan4x2 dx 2. S (2cos2x2-1)2 dB 3. S 1+e2B 2lnx+1 dx 4. ((Inx)2+Inx) x

A: Given:  2 ∫x2 tan4x2 dx2 cos22x2-123 ∫dβ1+e2β4 ∫2 ln x+1ln x2+ln xdxx  To Find: To evaluate the give...

Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct...

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Q: 00 Expand the function in a power series a„x" with center c = 0. Find a,x". 4+3x n=0 (Express number...

A: The given function is  f(x)=14+3x

Q: Find an upper bound on the error that can result if cos(x) is approximated by 1 – (x²/2!) + (x*/4!) ...

A: Given that cosx is approximated by 1-x22!+x44! over the interval -0.7,0.7. It is required to find an...

Q: 4. Homogeneous Diffe rential Equation: (r+2y-4y kx-(x' -8ry-4y kdy= 0 Use the substitution x = y = w...

A:   Differential equation  are mathematical tool to define rate of change for whole equation. 

Q: 3. XSつち =6 -E 2. 3 2. こ -ソ= 4cs2x

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Q: d'y 2. The degree of the differential equation 5x dx +5y = 0 is dx

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Q: How large should n be to guarantee that the Trapezoidal Rule approximation to x - 2x + 36x – 3x + 4)...

A: We have to find the value of n. 

Q: Gra ph the following fuctions and Show domains and ranges oF them ノ- ソ= 4Cos2x 文 MiS= R-て 3. %3D 3- ...

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Q: Evaluate the following limit or state that it does not exist. (Hint: Identify the limit as the deriv...

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Q: Find the firct derivatioves of the follwing: - 3 ) y= 3x-x -2 4) y: Jerx 2) y: Ji-7x 5) y = 2メ-3

A: ddxxn=nxn-1 ddxu(x)v(x)=v(x)ddx(u(x))-u(x)ddx(v(x))v(x)2

Q: 8. The differential equation (2x-xy-2y+3}dx-(x*y+2xkty = 0 is exact because ÔM ON

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Q: dy and then dx Use implicit differentiation to find 2 dx 4 5 X +y =99 dy (Type an exact answer.) %D ...

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Q: Consider the polar equation r- 3+8 sin(8), whose graph is shown below. 10 8 2 -6 -4 4 6 Notice that ...

A: The given polar equation is  r=3+8sinθ. We have to find four angles θ where the tangents are vertica...