A. Evaluate each of the following indefinite integrals: S*(1+v*) -ldv (cor-ly2) 2.

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Q: Evaluate the integral by u-substitution. (Use C for the constant of integration.) Integral of Sin3(...

A: Given : Integral ∫Sin3(x) cos(x) dx   To find : Evaluate the integral by u-substitution?

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A: In these types of cases, limits gets multiplied

Q: Determine the solution to the initial value differential equation y'+ 3 y = 4 x y(0) = 3 y (x)=

A: First order differential equation : Consider the first order differential equations                 ...

Q: бх2— 2х +5 dx? 2х + 1

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Q: tan? 0 8. -1= tan 0 sin? 0

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Q: iv. an n!

A: The detailed solution is given below Thank you 

Q: B Given that V · W = 4, V x w = ,V] = 10and |W = 8. The exact numerical value value of 2V (3V-2W) is...

A: We need to find b,c,d,e.

Q: Solve for the derivative Arc sin + Arc cos =0 y y

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Q: л3 160х - 3x? - 2ху- 2у? + 120у -18

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Q: et + e-* 4. Find the area of the surface generated when the function y = on the 2 interval [0, 1] is...

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Q: n7 + sin(18n + 13) 29 Determine whether the sequence an n18 + 13 converges or diverges. If it conver...

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Q: 5. (4x'y- 15х? - у )ӑx +x* +3у - х)dy-0

A: Differential Equation is              4x3y-15x2-ydx+x4+3y2-xdy      It is of the form Mdx+Ndy=0     ...

Q: Proof 2: 14 sin x dx tan xdx = /6 COs x 1 -= sec x dv = sin xdx cos x du = sec x tan xdx v =-cos x 1...

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Q: dx Evaluate the given function f xlnx а. In (lnx) + C b.lnx + C с. х + С d. - In(lnx) + С e. None of...

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Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing no...

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Q: Evaluate J (sin t + 1)-1 dt

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Q: 14.130 the ratimal 2e10s the orem to find all the real 2eroß the Dalynamial furltion, Use the zeros ...

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Q: ft ft when the brakes are applied. A bus travelling at 66 along a straight, level road decelerates a...

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Q: If ã = <!,2,37 and b=<5,0 -17, find the vector pojection of %3D %3D ŏ onto à.

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Q: (You can click on the graph to enlarge the image.) (a) Which one is bigger, f(3) or f(5)? O A. f(3) ...

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Q: The area of a square is increasing at a rate of 36 centimeters squared per second. Find the rate of ...

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

Q: Write an equation of the tangent line to the curve f (x) = 3/ Va + 8x at the point (4, f (4)). %3D U...

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Q: f y=x^5, then y’=

A: FOLLOW THE PROCEDURE GIVEN BELOW.

Q: Q: A Fraction becomes 4/5. If 1 is added to both numerator and denominator.If, However 5 subracted f...

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Q: Find the exact value of each expression. 1) cos-0 3) cos 5) sin- –1 7) cos- 1 9) sin 1 1 11) cos- 2.

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Q: On which interval does the function f(x) = (x+ 5)/(x-1) discontinuous? О а. [0, 2] O b. [-1,0] Ос. (...

A: Note: As per our company guidelines we are supposed to answer first three questions only. Kindly ask...

Q: Find the solution of the differential equation ху V - ) (x+ y² + 1)dx - (y dy = 0 %3D Vy2+1,

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Q: If ƒ (x)dx=6, f (x) dx=2, and f (x)dx=- 3, find f (x)dx. 3 A) -3 B) 3 c) 4 D) -4

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

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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 10th term of the arithmetic sequence -2,1, 4, ... Answer:

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Q: Vrite out the first five terms of the sequence with, In(n) n+1 determine whether the n=1 sequence co...

A: We will find the limit 

Q: xl² -1), 2 x +1

A: To evaluate:∫xx2-1x2+1dx

Q: Find the area enclosed by the x-axis and the curve y=4-x². 32 A -square units 3 В 32 square units 36...

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Q: Find the area enclosed by the x-axis and the curve y=4-x2. A 18 square units 32 B square units 3 © 3...

A: topic - area under the curve

Q: Find the general solution of У" - Зу + 2у 3 2х3 - 9х? + 6х

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Q: Q: A Fraction becomes 4/5. If 1 is added to both numerator and denominator.If, However 5 subracted f...

A: Solution : Given that if we add 1 in denominator and numerator of a fraction we will got the new fr...

Q: Determine whether the integral is convergent divergent. If it is convergent, evaluate it. or sin?(a)...

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Q: Determine whether the given sequence converges, and, if it does, find the limit. i. An sin () %3D

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Q: Find the exact value of each expression.

A: For 5:    cot23π4=cot3π4=-1

Q: CAn equation of the plane through the point (2, 5, 7) that is parallel to the line 7 (t) = 3î + 2ĵ -...

A: Given problem:-  Find an equation of the plane through the point (2, 5, 7) that is parallel to the l...

Q: (c dx Since y=x?e-6x2 has a vertical asymptote at x=0, the integral is improper. Since y=x?e-6x2 has...

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Q: 1. Given : %3D 13 4 -6 -4 4 A = 24 4 12 2 8 - S 4 6. 3 2.

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Q: Q: A Fraction becomes 4/5. If 1 is added to both numerator and denominator.If, However 5 subracted f...

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Q: Given the differential equation d?y 12. + 4y = 0 di? Determine the Characteristic Equation for the g...

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Q: In Exercises 7-12, functions 2 y=h(t) are given. (a) Use the Multhvariabie Chain Rule to compute dz ...

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Q: Find the exact value of each exp V3 sin 2 Si

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