The result of the integral in 0 given V Vr²- 25 -dy is 5 tan0 -50 +C, True B False

Q: Use the areas shown in the figure to evaluate f(x) dr

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Q: In sine sin -1x os (sin-!x) + C cos V1-x? 1-x² A) True В False

A: To check:  ∫sin(elnsin-1x)dx1-x2=-cos(sin-1x)+C is true or false.

Q: o begin evaluating | sin“x cos x dx , express A sin*x to (sin?x)* and use the identity sin?x = 1-c…

A: Given query is to find the identity used to integrate.

Q: (sint – cos t)? =1- sin (2t)

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Q: For the function f, use composition of functions to show that f 1 is as given. 7x -7 f(x) = 7x+1,…

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Q: x² – 4 Evaluate:

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Q: Xcos-(x) If x =0.62 and y = 0.43, then value of C in the antiderivative of F(x) = is (use radian…

A: This is a problem of integral and initial value theorem. Antiderivative means integration of the…

Q: Suppose that $83,000 is invested at 3-% interest, compounded quarterly. a) Find the function for the…

A: $83,000 is invested at 312% interest, compounded quartely

Q: x +1 8. J x(x+ 4)3 dx

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Q: After appropriate substitution, the integral expression | x (22 + 4) de can be express as (choose 2…

A: We have to find out

Q: (x+1) dx B | dx , the values of A & C respectively are 9. -- (r+2)(x - 1)² = /+ (x– 1)², x- 1 3 (А)…

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Q: Given that cos A =-9/41 and that angle theta terminates in quadrant II, then what is the value of…

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Q: (4x2+ 5x*)dx J Tx+1)(x²-6x+34) ² By method of partial fraction, the integral can be evaluated when…

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Q: Which of the following is one of the correct steps to evaluate cos3 dt to obtain the correct…

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Q: Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = L{f(t)} and n = 1, 2, 3, ...,…

A: Given: L(te-12t)..

Q: Match each set of triangle measurements with the specific case you would use to solve for the…

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Q: Publishing The following table shows the results of a survey of 400 authors by a publishing company.…

A: The table shows the result of a survey of 400 authors by a publishing company. Based upon the data…

Q: To evaluate y?csc2(y³)cor?(y³)dy, we let u =csc(y³) A True B False

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Q: Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the high…

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Q: sec ede 2. tan' 0+9 tan e

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Q: x4dx Using trigonometric substitution technique, the simplified integral after substitution 4 @…

A: ∫x4x2-4dx=∫x3xx2-4dxLet θ=arcsec12x.=∫ 16sec5θdθ

Q: Evaluate: Jycos2ydy 글/sin2y-글ycos2y+ sin2y+C A B Sysin2y+ycos2y+sin2y+C © snzy-ycoszy-snzy+c…

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Q: The form of decomposing a single irreducible quadratic factor in agiven inteeral is / (2ax+b)A+B dx.…

A: To write that it is true or false.

Q: 2x+3, x<1 f(x) dr if f (x) = 5, Evaluate -3 A 21 B 19 28 16

A: fx=2x+3,x&lt;15,x≥1

Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

A: Explained below

Q: Convert the point (-7 3, 7 V3) from Cartesian coordinates to polar coordinates for 0 <0 < 2m. Give…

A: The given point -73, 73

Q: dx The antiderivativeof |- x +5 is 2- Sin|Vx +s| +C. A) True B False

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Q: sin'x cosx dx Evaluate: (1- sinx)2(1+ sinx) 2 sinx sin 10x - +C 10 A) 8 (B None sin 10x +C 10 (D)…

A: ∫un du = un+1n+1 +C

Q: Find an equation of the inverse relation. x°y= -7 3 ... Choose the correct equation below. O B. y= -…

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Q: V52 -9 dx 3x

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Q: 'x/2 dx Using an appropriate algebraic substitution, the integral - 1+x3/2 reduces to 2y² dy A 1+y³…

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Q: Find 2f (x) dx jf f (x) dr=2 and f (x) dr= - 6

A: We have to find out

Q: de Evaluate: A f (2) = -3 ln (|Va – 1|) +C ®f(x) = 3 ln (| V – 1|) + C B © f (2) = 3 In (|1 – V7) +C…

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Q: 3. lim f(x) = x³ - 1 %3D X 1 х-1 X approaches 1 from the left- -x approaches 1 from the right 1.001…

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Q: e4x dx Which of the following trigonometric substitutions is the most appropriate to the intgral -…

A: The given integral is e4x/(4e2x+9)3/2.

Q: To evaluate y-csc²(y³) cor²(y³)dy, we let u =csc(y³) (A) True B) False

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Q: To begin evaluating sintxcos xdx conveniently, express:

A: Given ∫sin4xcos5xdxWe can simplify this and write as∫sin4x(cos2x)2cosxdx

Q: Which of the following is equal to sec 2 x tan³x dx to obtain the correct indef inite integral?

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Q: sin2x cos3x dx = sin5xdx - sinxdx A True B False

A: Please see the answer below.

Q: x1/2 dx reduces to Using an appropriate algebraic substitution, the integral 1+x32 2y2 dy 1+y3 ys dy…

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Q: Graph f(x) = e +2. Choose the correct graph. OA. Ay 4- OB. Ay OD. Ay Oc. Ay o 包

A: We need to choose correct graph.

Q: dm =2 | cosh2m dm A True B False

A: A detailed solution is given below

Q: Evaluate: | evxdx.

A: Evaluate : ∫exdx

Q: On Melissa's 6th birthday, she gets a $4000 CD that earns 3% interest, compounded semiannually. If…

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Q: Consider the alternating series -1)"bn with n=4 3n2 bn |3D n2 - 4 (a) Is the sequence {bn}…

A: The given series is: ∑n=4∞(-1)nbn, bn=3n2n2-4

Q: Question 9 x2 – 4 dx Evaluate: ,2 - 4 + sec C %3D В Vx2 – 4 + 2 sec® + C © =2/ x2 – 4 + sec -1 +C D…

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Q: sin?u In tan"udu, where m is any positive integer, we use the transformation for tan?u= cos?u A True…

A: We have to choose the correct option according to the given information

Q: By algebraic substitution, the integral -dx is converted to: 4+. Vx 2ydy (A y+4 dy B y+4 y+4 D [vay…

A: Here is the solution

Q: xcos-(x) If x =0.18 and y = 1, then value of C in the antiderivative of F(x) = is (use radian form…

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Q: sin u n tanmudu, where m is any positive integer, we use the transformation for tan?u= cos?u A True…

A: Follow next step