a. 2 sec (5x²) tan(5x²) + C b. tan (5x) + c c. 10 tan (5x) + c d. none of the above 27. Evaluate csc 3x cot 3x dx a. - csc 3x + C b. - csc 3x + C c. - csc 3x + c d. - csc 3x + C 28. Evaluate f; 5 sin 3x xp 24 cos 3x a. 2 In 15 sin 3x| + C b.-In 12+cos 3x|+C c. In 15 sin 3x| +C d. In 12+cos 3x|+C

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A: For solving this, 1st change radian to degree. Then apply trigonometric relation. 

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Q: Atmospheric

A: We will find the height of the mountain. 

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Q: Questióh 2 of 9 View Policies Show Attempt History Use the formula for the binomial series: (1 + x)"...

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A: topic- trigonometric ratios

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Q: 23) Find the limit for the following function by using L'Hopital's Rule: x². e* lim x→0 tan² x

A: limx→0x2extan2x

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A: Topic:- differential equations

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

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Q: Find the Taylor polynomials of orders n = 0,1,2, 3, and 4 about x = x0 and then find the nth Taylor ...

A: f(x)=13sin(πx), x0=92

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Q: 8. Show your complete and step by-step solution. dx 6. Evaluate – 16r? 2e" 7. Evaluate +4e'+6 8 Eval...

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Q: dx 6. Evaluate 5-16r

A: Evaluate ∫dxx83-16x2

Q: 1. If x - y = 25, then y" = c.) d.) - a.) b.) 2. If y = cos(3x+1), find y a.) 3 sin(3x+1) b.) -3 sin...

A: Authoring guideline: As per the authoring guidelines, we can solve only the first three parts. Repos...

Q: Use the root test to determine whether the series converges or diverges. If the test is inconclusive...

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Q: Determine whether the series converges, and if so find its sum. 00 k-D1 1) This series can be rewrit...

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Q: (b) Given that = 3 in steps of 0.2, given that y = 4 at r = 2. dy = x+Vy. Use Euler's Modified Metho...

A: Given y'=x+yy(2)=4   , y(3)=?       h=0.2  modiefied euler method is yn+1=yn+hfxn+h2 , yn+h2f(xn ,yn...

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Q: A plane flying horizontally at an altitude of 2 miles and a speed of 460 mi/h passes directly over a...

A: We can solve the given problem by using the Pythagorean theorem and the derivatives.

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A:

Q: 1. S(z) = 64 –³ VI 2. -12r2 S(z) = 1+ 8x²

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Q: (Note that you can click on the graph to get a larger version of it, and that it may be useful to pr...

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Q: Find the derivative of the following function using the limit definition: z =7y2- 11/x

A: We need to find derivative.

Q: i) State the change-of-base formula for logarithms. ii) Using the change-of-base formula, and the na...

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Q: 15 10 -6 -5 -4 -2 12 3 4 5 6 -5 10 -15 Determine the equation of the polynomial, f(2), of minimum de...

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Q: Please answer the last 3

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Q: k E(-) k=1 If p = + 0, enter "inty". II

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Q: S(z) = 64 –3 V/

A: f(x) =x964-x3We can rewrite the function as;f(x) = x9  164-x3f(x)=x9 (1641-x364)a=164,  r=x364   (Ge...

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

A: topic - sequence and series

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

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Q: Find each limit in Problems 37-60. Note that L'Hôpital 's rule does not apply to every problem, and ...

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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: B Resort Number of rooms A Total 114 134 181 285 714 a) Determine the standard divisor. (Type an int...

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Q: Q2) Show that y = 35 x* – 30 x² + 3 satisfies ( 1– x² )y" – 2xy' + 20y = 0 %3D

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Q: Eliminate the parameter to find a Cartesian equation of the curve. 1 x(0) -cos 0 20 y(0) = 4 cos(20)...

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Q: 9 Evaluate xp.

A:

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

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Q: Use the formula for the binomial series: (1+x)" m(m-1) 2 + 2! m(m-1).-(m-k+1). k! 1+ тx + + = ... .....

A: Given:     Maclaurin series for 1+x18  Formula for binomial series:      1+xm=1+mx+mm-12!x2+...+mm-1...