Prove: 0 =- 1 Proof 1: sin x tan xdx = [ cos x 1 u = cos x dv = sin xdx sec x du = sec x tan xdx v=-cosx S tan xdx = uv- [vdu | tan xdx : -cos x) - |(-cos x)secx tan xdx cos x tan xdx = -1+ | cos x tan xdx cos x | tan xdx = -1+ tan xdx 0 = -1

Q: tan-1n Determine whether E is convergent using integral test. Zn=1 n2+1

A:

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A: The nth term of the binomial expansion of (a+b)n is given by: Tr+1=Crnan-rbr...(1) Here, to find the...

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A: V(t) = d[x(t)]/dt Put, v(t) > 0.

Q: l+ cost = ip- cot²tdt 1- cost (A) True B) False

A: From formula Cos θ = 2 Cos2(θ/2) -1   Cos θ = 1 - 2 Sin2(θ/2) (1+ Cos t)/(1-Cos t) =(1+2Cos2(t/2)-1)...

Q: A. Find the differential equation: (1) whose general solution is y = c,e-2x + cze3x (2) by eliminati...

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Q: Suppose 16 1 4 a4 = 1 4 a1 a2 аз a5 1 6. 2 3 5 6. a) Find an explicit formula for an: b) Determine w...

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Q: - (2* – 10) " da = +C

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Q: Find the indefinite integral on the domain of positive real numbers. Enter an exact answer. Remember...

A: We have to find integral

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Q: No, last te 10

A: FOLLOW THW PROCEDURE GIVEN BELOW.

Q: 8.Detormire the maximom num bec of Furning poinds Of .

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Q: Label each of the following statements as true or false. If true, prove the statement. If false, pro...

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Q: what relationship should be present between two vectors for the law of cosines and sines to be used ...

A: a) for cosine law, the two vectors should have an angle between them. We should know any three eleme...

Q: 14 2 = x -y, x = t, y', y = t-1

A: Here is the solution

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A: We need to find length of wire that will be bent into square.

Q: Value différential equation 9 x y'+ 6 y = 6 x2 y (1) = 7 y (x) = |

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Q: (h = 0.1) (h = 0.05) У(1.2) ~ У(1.2) ~

A: FOLOOW THE PROCEDURE GIVEN BELOW.

Q: . What is the area of the region in the first quadrant bounded on the left by the graph of x = yVy* ...

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Q: 4x2 - 15x-4 Let f(x) = Find the indicated quantities, if they exist. X + 9x - 52 (A) lim f(x) (B) li...

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Q: Write out the first five terms of the sequence with, | ()" determine whether n+4 n+2 n=1 the sequenc...

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Q: 12. Use the factor Hheveto determine whether x-C Isa fultol. offd.

A: (11). The given function is: f(x)=x4+8x3+12x2 ;       x+1

Q: 49 -dx. Find the antiderivative of 7* (A) + C In 7 (B) + C 2 In 7 2 In 7 + C 7* In 7 + C 7* D

A: The given integral ∫49x7xdx

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A: We to put given value in the function

Q: 8. (e* + y)dx + ( 2+ x + ye' )dy =0

A: Given:- (ex +y) dx +(2+x+yey ) dy=0 To find:- General solution for given differential equation

Q: Let f(x,y) = 5xy² + 4x*y. Find and ayöx dx дхду дудх

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Q: Use the graph to approximate the integral using the Trapezoidal approximation Rule and then usin Sho...

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Q: Evaluate the integral. 25 In y 16

A: Given that: ∫1625lnyydy

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A:

Q: OBTAIN A FAMILY OF SOLUTION 2. (x - yny + y In x ) dx + x CIn y - In x)dy =0 3. [x - yarctan (y/x)]d...

A: This question is related to differential equation.

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A: We need to find rate of change of the side.

Q: do not evaluate)  When finding the volume generated by revolving y = 2 − x^2 and y = x^2. JUST Set ...

A: Given: y=2-x2y=x2

Q: Find the antiderivative of the integrand 49* dx . 72x (A) + C 2 In 7 49* В + C In 2 49* + C In 7 + C...

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Q: Use Newton's method to find an approximate solution of 7 - 9x =x. Start with x, = 1 and then find x....

A: Here, the given equation is: 7-9x=x3⇒x3+9x-7=0 Let, f(x)=x3+9x-7 And, the initial value given is: x0...

Q: y = In (sin x²)

A:

Q: . 2yda + (x – x³y³) dy = 0

A: here we have to check whether the differential equation is exact or non exact.

Q: 30 f(t) dt = 11 f(5) = 23 • f(30) = 27 f(6 In(x)) dr Evaluate:

A: Given: ∫030f(t)dt=11...............(1)f(5)=23.................(2)f(30)=27................(3)

Q: Question 1 Let f (x, y, z) = In (1+ x³ + y4 + 25) Find an equation for the tangent plane to the surf...

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Q: Confirm that the below limit meets the conditions to apply l'Hôpital's Rule and then solve the limit...

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Q: Suppose we need to find an equation of the plane that passes through the line of intersection of the...

A: Since, we know that equation of a plane passing through the intersection of planes P and Q is given ...

Q: Find the piact farglhofthe Curve ー7 カ+6-6 2ナタナ

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Q: (a) Find the area of the triangle with adjacent sides representing the vectors 2i – j + 3k, and i+ 2...

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Q: A. Write T if the statement is true; otherwise, write F. 1. f(x) =, lim f(x) = f(2) 6+4t 2. lim t-3 ...

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Q: If f(r) 2x(sin z + cos ), find f'(z). f'(#)- Evaluate the derivative at a = 3. Enter an approximatio...

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

Q: A particle moves along a straight line and has acceleration given by S"(t) = 4t +3. Its initial velo...

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Q: if g(t)=4t^3-t^2, find all t for which g’(t)=0

A: Using derivatives.

Q: Find the general solution of y" - 3y' + 2y = 2e*

A: y"-3y'+2y=2exAuxillary equation is D2-3D+2=0m2-3m+2=0m2-2m-m+2=0m(m-2)-1(m-2)=0(m-1)(m-2)=0⇒ m=1,2co...

Q: ft along a straight, level road decelerates at a constant rate of 22 ft when the brakes are applied....

A: Given query is to find the displacement function.

Q: A bus travelling at 66 along a straight, level road decelerates at a constant rate of 22 sec when th...

A: From the first equation of motion       v=u+at   .....(1)  , where u is the initial velocity ,v is t...

Q: Number 24

A:

Q: Sketch the direction field of the D.E. y = y - t and the solution curves corresponding to y(0) =-1, ...

A: Solution of question is written in below steps.