Solve using the U-Technique Question 17 For f (-4х-12) dx (x+10)³(x-4)³ F(x) - 1. What is F(3)? ... (A no choice 1 169 169 168 169

Q: The integral / 2cos(2')dr takes the form & cosar du when =2 and/(x)=x-5 What is the value of (+2)? 2...

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Q: Write the first five terms of the sequence: +00 {Vn² + 10n – n}-1 n=1 Determine whether the sequence...

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Q: Write the first five terms of the sequence: +00 {Vn² + 2n – n}" Determine whether the sequence conve...

A: The given sequence is {√(n2+2n) - n}.

Q: Evaluate the integral x cot x² sin(in |sin x²l) dx.

A: LetI=∫ xcotx2sinlnsinx2dxSubstitute u=lnsinx2Differentiate du=1sinx2ddxsinx2du=1sinx2cos(x2)ddxx2du=...

Q: Solve the system of linear equations given below. -11х1 + 13х2 — 15хз + 25х4 %3D 101 -19x1 + 33x2 + ...

A: Here is the solution

Q: Let f dx be given. if u = e* + 1, then the resulting integral is f(u) du. Compute f(3) 2/3

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Q: 4. Given: a, = 5, a4 = 13 Find: d =? а. 1 b. 2 с. 3 d. 4

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Q: Find the derivative of the trigonometric function. f(t) = t° sin(t)

A: To find the derivative of the following problem

Q: Each side of a square is increasing at a rate of 3 cm/s. At what rate (in cm²/s) is the area of the ...

A: We know that the area of the square is: A=b2 Where; b is the side of the square.   The Power law: d...

Q: graph the folloring f un Ction %3D

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Q: Using the partial fractions technique, the function f(x) = 37x+82 can be written as a sum of partial...

A: ∫37x+82x2+2x-24 dxConsider 37x+82x2+2x-2437x+82x2+2x-24=37x+82(x-4)(x+6)37x+82(x-4)(x+6)=Ax-4+Bx+637...

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

A: The given series is: ∑k=1∞k!k8 Let, ak=k!k8; k≥1

Q: Write the factored form of the

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Q: n exponential function y= f(). (2,8.64) Preview 1.2

A: We know that,Exponential function is of form y=abt. and here by using graph it is clear that , graph...

Q: 2. An electric current, when flowing in a circular coil of radius r, exerts a force kx F = (x² + r2)...

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Q: Evaluate the integral. 7 sin-x dx +C NOTE: Enter the exact answer in expanded form.

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Q: 1. Evaluate (3260)"]" × (-5+ j6) (cos(3 + j5)]1-/) Sin sin-

A: We have to find: sin-13∠60°3*×-5+j61jcos3+j51-j. We will find the interior parts first on different ...

Q: y" + y " +y' + y = 1

A: A differential equation is said to be linear if no terms in it are formed by multiplication of two t...

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A: We will find the derivative. 

Q: Given that the graph of f(x) passes through the point (5, 2) and that the slope of its tangent line ...

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Q: 5 Suppose that cos(0) = and 0 < 0<. 13 a. Determine the exact value of sin(0). Enter your answer as ...

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Q: A set of data with a correlation coefficient of -0.15 has a a) strong negative linear correlation c)...

A: As we know It is a statistical measure of the strength of the relationship between the relative move...

Q: 58. Find the maximum volume of a cylinder inscribed in a core of 4 m volume.

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = T0 and then find the nth Taylo...

A: The given function 5x; x0=-1

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

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Q: (2x² +)x ;dx (x8 + 4x5 + 4x²)² Using u-substitution and transformation of the integrand, then the po...

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Q: 6 for the Use sigma notation to write the Taylor series about x = function. 1 x+5 k =

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Q: Evaluate f-4*3 dx In4 b,- -3in4 +C C. In 64 d. none of the above Evaluate f4x cosx dx a. sin x + C b...

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly re-post other...

Q: Determine f(x) so that | cos(In?x) f (x) dx = sin(In?x) + C

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Q: If the solution to ſe2* sec²(e²×+1)dx is equal to k tan(e2x+1) + C , find the exact value of k.

A: We know, ∫sec2(x)dx=tan(x) ddxemx=memx

Q: Given the curve in rectangular coordinates x² + 4x + y? – 8y = – 11 Find the parametric equations gi...

A: parametric equation of circle

Q: What is the value of 7/2 r(3 cos(x) + sin(x))dr? 7/2 Give your answer as an integer or as a decimal ...

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Q: Determine whether the series converges, and if so find its sum. 4k+2 7メー1 k=D1 1) This series can be...

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Q: Use the Chain Rule to express dy /dx in terms of x and y: y = csc t аnd x = sec-1 t

A: Given  y=csct and x=sec-1t  

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

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Q: 2. xdy +(y-xy+2)dx=0

A: Given,           xdy+y-xy+2dx=0To find : Solve the differential equation.

Q: Evaluate the integral using tabular integration by parts. 4 x V2 x +1 dx +C %3D

A: LetI=∫ 4x32x+1dxPut 2x+1=u2x=u-1x=u-12differentiate 2dx=dudx=du2I=∫ 4u-123udu2I=∫ 4u-138udu2I=∫ 14u-...

Q: (2x + dx + 4x*) (x +4x5 Using u-substitution and transformation of the integrand, then the power for...

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Q: Find the derivative of the function. g(x) = 2(3 - 8x) g'(x)=

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Q: If the solution to fe sec (ex**)dx is equal to k tan(e**) + C, find the exact value of k 1. 2e 2e (0...

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Q: ,2 30. lim x In x

A: Topic = Limits

Q: Find the amplitude, period, and horizontal shift of the function. y = -3 sin(6(x +)) amplitude perio...

A: Given query is to find the period amplitude and the horizontal shift.

Q: #1 only

A: Topic:- differential equations

Q: 8 구 6 5 4 10 -9 -8 -7 -6 -5 -4 -3 -2 2 -4 -6- -10- Find the parametric equations for the graph shown...

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Q: 2. (x + 2) dæ: (x + 3) sin y cos y dy In(a + 3) sin y %3D + C ans. x -

A: (x+2) dx = (x+3) sin y cos y dyUsing the method of variable separable;x+2x+3 dx = sin y cos y dy   ∫...

Q: Q5) Use the Chain Rule to express dy /dx in terms of x and y: y = csc t аnd x = sec-1t

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Q: Evaluate the integral. x2 e dx +C

A: Here, to evaluate: ∫8 x2exdx=8∫x2exdx

Q: I. Evaluate the following function below. 3 2 1. S sin'y ( 2 – 3 cos y )´dy 9 3. S sin'x dx 9 4. J c...

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Q: Solutions of differential equations: y' = sin x O y = - cos x +c O y = cos x + c %3D

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Q: Find the solution of the following Differential Equations 1) ydx+ xdy 0 2) (xdy- ydx)/x = 0

A: Find your answer below