Rewrite the following integral using substitution: 6"s in 3xdx

Q: Find the indefinite integral using the substitution x = 8 sin 8. (Remember to use absolute values wh...

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Q: State the trigonometric substitution you would use to find the indefinite integral. Do not integrate...

A: Here, to evaluate the given integral use the trigonometric substitution. ∫x2(x2-36)32dx

Q: Let fit)=F(t), where F(t) = 412- 5t + 5t Evaluate the following integral using the Fundamental Theor...

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Q: Find the moment with respect to x = 2a the area bounded by x = 2y and x2 = 4ay. %3D %3D

A: Given area is bounded by x=2y and x2=4ay.  To find: Moment with respect to x=2a.   From x=2y We get ...

Q: 1/V3 dx 1+4x2

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Q: X=2 6. Evaluate x dx .2 ,x² +1 X=1 7. Evaluate |(xcos 3x) dx

A: using method of substitution in 6th and integration by parts in 7th

Q: Evaluate the integral. 고-36 x² – 36 . 6cos- (승) +0 /x² – 36 - dx = Vx² – 36 – 6cos¬! + C x² – 36 (9)...

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Q: 2х + 7, х 7 From the following results, determine whether the function f(x): is continuous at x = 7...

A: I am attaching image so that you understand each and every step.

Q: dy 3 - dx2 4 y = 1/2 dy/dx = -1 when x = 1

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Q: 1. In Figure 3, RK is the angle bisector of 2ORC. a. Name the postulate/theorem that justifies the c...

A: Note: According to our expert guidelines only first individual question is to be answered.kindly rep...

Q: Let ft)=F(t), where F (t) = 412– 5t²+ 5t¸ Evaluate the following integral using the Fundamental Theo...

A: As we know from the fundamental theorem of calculus; If F't=ft then, ∫abftdt=Ftab=Fb-Fa   From the g...

Q: Question 2 Find the indefinite Integral of F (x) = A Eifraction numerator 17 x cubed over denominato...

A: F(x) = ∫ 17x3dx F(x) = 17x4/4 + c so form this we can see that answer C is right fraction numerator ...

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A: Let us consider the standard form of the ellipse, (x-h)²/a² + (y-k)²/b²= 1 Then (h,k) is the center ...

Q: 1. What does the following numerals represent? 51651 五万六百五 Input the numbers in decimal system. Do n...

A: 1. What does the following numeral represent = 50605 The number is =  5 times 10000 plus 6 times 100...

Q: Find Z, * Z, and Z1/ Z2 Write the answers in rectangular form (a + ib). Зл 2(cos+i sin),Z, = 4(cos +...

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Q: Problem 9. Use the following propositions to draw the corresponding Venn diagram. а. (Gray area is t...

A: The following is the Venn diagram.  

Q: Given the power series, (x +7)" determine if the convergence of the series at x = -9 is conditional ...

A: Here      an = (x+7)n2n n2-13⊙ Then putting x= -9 in an, we get:     an = (-9+7)n2n n2-13          =...

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Q: Sketch the region enclosed by the given curves. y = 3/x, y = 12x, y = 12 x > 0 y y 8- 8- 6 4 2 4 8 1...

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: This question is related to sequence and series, we will solve it using given information. 

Q: 1- yy' = 2y– x;

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Q: +C

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Q: A force of 3 N will stretch a rubber band 2 cm (0.02 m). Assuming that Hooke's law applies, how far ...

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Q: I d²u dv² tan v sec“ V

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Q: Evaluate the Following Integral sin7 Cos4x

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A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Find the area of the parallelogram that has u = 2i – j+ 2k and v = 2j + 3k as adjacent sides. NOTE: ...

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Q: A trucking company transports goods between two cities that are 960 miles apart. The company charges...

A: Let's find. 

Q: c) Solve the given system of equations using inverse of matrix 3x + 8y = 5 4x + 11y = 7 d) Find the ...

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Q: SVx In(x)dx

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Q: A $25, 000 vehicle depreciates $1500 a year as it ages. Repair costs are $1500 per year. (a) Write f...

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

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Q: 4. y = (3x + 1)(-4x² – 3)* (23+4)5 3x-2 5. y =

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A: As per request Solve d, e and f part only