Solve the differential equations by any appropriate method and indicate the method you have used/chosen.

Q: 6. The area of a rhombus is 143 m?. If the longer diagonal is 26m finc the shorter diagonal in inche...

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Q: Assessment1: The function is discontinuous at the number. Does the discontinuity appear to be remova...

A: The given function,   f(x)=x+33-x

Q: y'-5y= x'e* – xe* ito

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Q: 2w²+9w+ 1 dw is the same as w +4 A dw w +4 2w +1+ 3 dw w +4 B 2w – 1 - 3 dw w+4 2w +1- 67 dw w +4 2w...

A: Given that           ∫{(2w2+9w+1)/(w+4)}dw

Q: The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), an...

A: Explained below 

Q: = 10 f these

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Q: dx 14. Evaluate S: 9x2+36 a.)능an-1 3x +C b.) 습tan-12x +C c.) tan-+ C d.) tan-i 2x + C 15. Evaluate f...

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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: dV The value of C in the equation: dt 500(t+1) -2 , when V=700 and t=0 is

A: Given: dVdt=-500t+1-2 And V=700, t=0 We know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C And ∫c·fxd...

Q: Using integration by parts, evaluate x cos(3x) dx x cos 3x - sin 3x + C Option 1 x sin 3x - cos 3x +...

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Q: Calculate the volume of a solid on the first octant and under the plane defined by 2x+5y+7z=46. Roun...

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Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves...

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Q: E. DIFFERENTIATION Obtain the derivative of the following functions: y = Vx² (2x – a²)

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Q: sin In 4+tan cos-dx 4+tan-Icos- 2 1+ cos 2sin In4 4+ tan cos- dx A 1+cos 4+ tan-cos- 2sin-In 4+ tan-...

A: To rewrite the given integral so that the integral can be evaluated easily. ∫sin x2ln24+tan-1cosx2dx...

Q: +1)*eV¯dr A) B (c)

A: We will find the integral. 

Q: A ax? +C B a ax +C a?x +C 2 D.

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Q: Activity 1: Determine the number at which the function is discontinuous. Show why Definition 1 is no...

A: A function f(x) is continuous at x=a if and only if limx→a+ f(x) = limx→a- f(x) = f(a).

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 3. y = V(4x + 3)³

A: Differentiation 

Q: Which of the following differential equations can be solved by separation of variables A ´sin 2y dx ...

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Q: x²dx 5 + + x2

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Q: 1 Elminobe the arbitrary conetants Y- C,e COS 2X

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Q: Lessoh 12. In each graph, a parent function has undergone a transformation of the form f(kx). Determ...

A: we have to consider the points which both the red and green graphs are passing through. then we have...

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

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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: Find an equation of a line containing the point (1, 7, -3) and parallel to the yz- plane.

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Q: Consider the following sequence: {an} = {n – n² },=-1 Use an+1 - an to show that the given sequence ...

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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: Solve the differential equation (7х — 4у + 15)dy + (2x — 5y + 12)dx — 0 when x 3D 3, у %3D 2

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Q: 1. In this problem you will prove that the shortest distance between two points is a line using the ...

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Q: Evalmate: 3/2 Cas 3x) dx

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Q: аn+1 to determine if the sequence {ne"}, is strictly increasing or strictly decreasing. An Use the r...

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Q: Mesin(2x) dx = esint2M + C then the M is equal to Blank 1 If Blank 1 Add your answer

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Q: sin³ydy 1+cosy

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Q: 3. 2yy' = x² +1 4. (x2 – 1)y³dx + x²dy = 0

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Q: Xe dx (x + 1)² 4.

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

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Q: In integrating the function fx cos(3x) dx using integration by parts, what would you choose for your...

A: Let ,I=∫ xcos3xdxSubstitute  u=3xdifferentiate du=3dx⇒du3=dxI=∫ u3cosudu3I=∫ucosu9duTake the constan...

Q: 13. A company produces a special new type of TV. The company has fixed costs of ​$462,000​, and it ...

A: Given:  Fixed cost =$ 462,000 Cost price per TV=$1500 (TV sold , charged price)=(750,2300) and (800,...

Q: 1+cscx 7. h(x)=- 1-csc x

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Q: x4メ U 5 + x² 2.

A: Let's find. 

Q: Solve the differential equation (xy – 6x²)dy – (2y² – 9xy)dx when x = 1, y = 1

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Q: Solve the differential equation (xy² + x – 2y + 3)dx + (x²y – 2x – 2y)dy = 0 -

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Q: A. FUNCTIONS 2 Given f(x) = 3x – 2 and g(x) =+, find each of the following: 3 (a) (f o g) (x) (b) (g...

A: If f(x) and g(x) are real valued functions then  (fog)=(fog)(x)          =f(g(x)) (gof)=(gof)(x)    ...

Q: Find the projection of ū = (2, -3, 1) onto v = = (-3, 0, 1) %3D 3 0, А. B. (3.0. -1) В.

A: u→ =2, -3, 1v→ =-3, 0, 1v→ =(-3)2+02 +12       =9+1|v→| =10    u→  · v→ =2, -3, 1·-3, 0, 1u→  · v→ =...

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

A: Here,              We have given a definite integration               now we have to solve this by u...

Q: Jacqueline took out a $30,000 student loan with a fixed interest rate to pay for college. Jacqueline...

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Q: V Solve usinog variaton of parameters or reduction of order (D²- 2D+1) y = e2"(e*+1)?

A: Solve by using variation of parameter  find auxiliary equation and then find wronskian and put in th...

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. x=sqrt(a^(2)-y...

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Q: C -dx(use 2 decimal places, no 5+x Let * = 2.06, and y = 1.32. Determine the value of when you evalu...

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Q: etermine each function's domain and range. If applicable, use a graphing utility to confirm the hand...

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