A. f (t) = So sin(t - T) cos(7)dT

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A: SOLUTION-

Q: Express the following sum in closed form. 6 +4. n k=1 k Hint: Start by multiplying out 6+4. n Note: ...

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Q: Activity 4: Show necessary solutions in your answer sheet. A. Find the intervals on which each funct...

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Q: 32. Solve the differential equation y" + 5y + 6y = 0 when y (0) = -1, y (1) = 3 O y = 3e - 5e*r O y ...

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Q: Which of the following indefinite integrals will result to logarithmic expression? O Stan(sinx)cosx ...

A: topic - integration

Q: I. Evaluate the integral of xy dx from x 0 to x 6 using the parametric equation x = 6 cos 0 and y 2 ...

A: Now we have to find the value of integral: ∫06 xy dx

Q: YOU

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Q: 9. An employee borrows Php60,000 for seven months at an interest rate of 12% per year. Find the inte...

A: Principal=P=Php60,000 Rate=r=12% per year Time=t=7 months=712 years Interest=Int=P×r×t100=60000×12×7...

Q: Solve (x² + 4) y' = 2xy %3D

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Q: Question 4 cose Evaluate the integral: de. V4- sin?e @ sn (ana) -c © -sn* (sin) + c -an (ane) • c No...

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Q: Look for three (3) mathematical formulas related to your chosen field like engineering, health scien...

A: Formula 1: y=mx+b y=mx+b  is slope intercept form equation of straight line. So it is used for findi...

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: I Eliminate the arbitrary constants y = C,e -2x COs 2x + ce <-2% SIn 3X

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Q: If sin(t) = and t is in quadrant II, find cos(t), sec(t), csc(t), tan(t), cot(t). cos(t) %3D csc(t) ...

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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: 3 Evaluate f(x) =x°+6x, (fof)(3) = ? O 91,395 O 2025 O 45

A: We have to find out the function value

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: 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: Which of the following indefinite integrals will result to logarithmic expression? A (2x+7)2 ® Stan(...

A: Topic = Integration Correct option  = B ,D

Q: Question 3 Use the data for allergic particles in the table to answer the following questions Year 2...

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Q: sin 2 tsin2tdt A sint 3 B sin 21 cost D sin21 E None

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Q: Which of the following is equivalent to / Isin(Inx?)]²dx , sin(Inx 14) dx A sin2(Inx 14) dx O (sin (...

A: Given that, The given integration is following, I=∫[sin(lnx7)]2dxx We have to find the equivalent of...

Q: 5e2*dx ,4x – 6e2 + 1 | 3e 2r B 3e2 – 2 (c) 3e2x – 1 D 9e x – 6e 2* + 1 E) None A)

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Q: Determine whether each of the following functions is (a) continuos (b) differentiable. Show complete...

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Q: 3 Find the Taylor Series of sinnx centered at 0.5 and x = 5

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Q: Determine the solution of an initial value problem; 2e cos2x dx + (e'sin2x+3y sec?y2) dy=0 y =0 2e's...

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

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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: x sin(x² )dx 2.

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Q: Suppose that f(z, y) = x°y?. Find the directional derivative of f(x, y) in the directional (1, – 1) ...

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Q: 2x2+ 2x+1 x+1 Evaluate: Je dx. A x2 + In|x+1| + C 1 + C x+1 C None of the given choices * + In|x+1| ...

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Q: Solve the diff eq (xy² + x- 2y +3)dx + (x³y - 2x – 2y)dy = 0

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

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Q: dx A D +C 3 B.

A: The given integral,        ∫e4x+1e2xdx

Q: 2w2+9w + 1 -dw is the same as w +4 5 A 2w +1+ dw w +4 B | 2w – 1- 3 dw w +4 2w + 1- 3 dw w +4 67 dw ...

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Q: sin- In2| 4+ tan¬'cos- dx 2 2 1+ cos- |4+ tan-'cos= 2 2sin- In2| 4+ tan-'cos- |dx 2 2 A 1+ cos2 |4+t...

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Q: The distance in feet of a particle from some fixed point is given by the following function, where t...

A: Given function,s(t)=t2+3t-3a)  What is the average velocity of partical from the interval 1 to 2 sec...

Q: company produces computers. The demand equation for this computer is given by p(q)=−5q+6500. If the ...

A: Given query is to find the number of computer for which marginal revenue is zero.

Q: In 3 [te' i + e'j + In tk] dt 1

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Q: A. Fill in the tables and guess the value of the limit. 1. lim f(x), where f(x) = х3 — 1 x2 -1 %3D f...

A: Given that        f(x) = (x3 - 1)/(x2 - 1)  Here we have to find            limx--&gt;1 f(x) .

Q: If (Mesin(2) dx = e°sin(2») + C, then the M is equal to

A: On solving this we will get

Q: " , [sin(Inx?)]²dx Which of the following is equivalent to sin(Inx 14) dx sin2( Inx 14) dx B © [sin°...

A: The given integral,       ∫sinlnx72dxx

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: 1. f(x)=In(tan-x)

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Q: Assessment 1: The function is discontinuous at the number. Does the discontinuity appear to be remov...

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub- par...

Q: Find the exact value of the expression. cot

A: Cot(x)= Cos(x)/Sin(x)

Q: having

A: We will find the half life. 

Q: cosh In(x) y%3= VII. xp: If u is a function of x then what is u? u-f(x) A.In(x) du is equal to? A.2x...

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Q: sin- In?| 4+ tan-!cos- dx 1+ cos2- 4+ tan-cos- 2sin- In2 4+ tan-'cos- dx 2 2 A 1+ cos 4+ tan-'cos- х...

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Q: Find the volume of the solid generated by revolving about x=0 the region bounded by the given lines ...

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