The period of y = 2 sin 4x is _____. 2 pi/2 4pi

Q: 5 Gin Ococodo sin 20 + 3rino-4

A: We will find the integral using the method of substitution.

Q: Consider the function f(x) whose second derivative is f''(x) = 3x + 8 sin(x). If f(0) = 2 and f'(0)…

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Q: On step 5, where did the 8 come from in x-3+8?  This is where I'm stuck

A: ∫au+bn du =1aau+bn+1n+1+C ∫11-u2 du =sin-1(u)+C

Q: Question 2 Figure Q2 shows a rectangular enclosure formed by a straight wall AB and a fence CDEF of…

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Q: O Use the Comparison Test to determine whether the series is convergent or In-1 n=2 divergent. Show…

A: ∑n=2∞1n-1

Q: 2. In the differential equation (x – 4y –9)dx+(4x+ y – 2)dy = 0 , the lines x- 4x + y- 2=0 intersect…

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Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

A: Solution is here

Q: 2. All straight lines with slope and y-intercept equal. У (x + 1) — у %3D0 ans.

A: It can be solved as follows

Q: Which of the following series is convergent? Select one: 3n 4n 2n + 1 n=1 3n 3n 2n + 6 n=1 2n 2n 6n…

A: In all the given series you can use the Root Test, that is to find: limn→∞ann if that is less than 1…

Q: 7-10 Evaluate the double integral. 7. y? dA, D= {(x, y) | –1< y< 1, -y – 2 < x < y} D y 8. dA,…

A: Let's find.

Q: y? Let f(x,y) : (a) Find the domain and range of f. (b) Draw a contour map of f for k = –3, –2,…

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Q: how did you get infinity

A: we need to know that limx→∞(x)=∞ and limx→∞x2=∞and∞=∞

Q: Find the derivatiives of the following functions using DELTA METHOD. 1. f(x) = 3x – 2 2. f(x) = (3x…

A: We know that f'(x) = lim∆x→0fx+∆x - fx∆x

Q: 3. Evaluate: lim -) X-0 \sinx 4. Using the binomial series, find the power series of f(x) = =

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

Q: 4. Evaluate the following limits: sin x (a) lim x-0 x³-7x2+10x (b) lim x→2 x2+x-6 sin at (c) lim…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: Change the following rectangular equations to polar form. Show work on separate paper. 14. x² +y°…

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Q: A rectangular garden is fenced on three sides, and the house forms the fourth side of the rectangle.…

A: Explanation of the answer is as follows

Q: A quadratic polynomial y = 4x² + 7x – 3 has roots p and q. Find a quadratic g(x) = x2 + ax + B with…

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Q: Express cos (a) in terms of cos(2a). Express sin (a) in terms of cos(2a). cos²(a) Choose... sin?(æ)…

A: Let's find.

Q: What are the intervals on which the graph 4 .3 of the function f(x) = x* - 2x +1 is concave…

A: Given query is to find the the interval where graph concave downward.

Q: 1 Verify that tan?(csc-1(x)) = x2 – 1

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Q: dy Differentiate parametrically to find dx in terms of t: 1 y = 2t2 + 4 X = |

A: x = 1/(t-1) y = 2t2 + 4 We have to find dy/dx

Q: èrentiate f(x) = [(4x³ – 1)(8x² + 6x – 3)]° and solve f'(2).

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Q: Answer

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Q: Find the intervals on which​ f(x) is​ increasing, the intervals on which​ f(x) is​ decreasing, and…

A: To solve the following function properties

Q: ) Use the Integral Test to determine whether the series 1 is convergent or divergent. n=1 (3n – 1)?…

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Q: 2 Find the slope of the function f(x) = x 3 at x = - 3. -27 27 81

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Q: Select the correct answer. 12 , 30 lim Sn? what is the value of noo If O A. 24 O B. 50 OC. 84 OD. 75

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Q: iz Let i denote the square root of –1. For the two complex numbers z = 3e 3 and w = 6e'3 find z. w.…

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Q: The graph of a function f is given below. According to the graph, f'(x) < 0 on (-1,0). y y = f(x) -2…

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Q: 32) sec 0 O in quadrant IV Find tan 0. 9. cos 0 <0 4 33) cot 0 Find csc 0.

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Q: Decide whether or not the given integral converges.   +∞ 4 x1.5 dx   1

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Q: а. 4(е?) b. 4(e² – e*) с. 4(e* — е?) d. 4(e*) e. None of the above DA DE D.

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Q: How were you given 1/x

A: dlnxdx = 1x

Q: Let i denote the square root of – 1. For the two complex numbers z = 3e and w = 6e'5 find z. w. Give…

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Q: The integral of the given function cos xdx is equal to а. 1 b. 2 С. -1 d. 3.1416 e. None of the…

A: We know that the integration of cosx is sinx then use the limit and calculate it. Option a is…

Q: 8 In what quadrant does the angle lie? 7pi/3 IV II I III

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Q: Question 2! 3: 1: Explain why the following series a) I (-1)" 1+ n3/2 n=1 is Alternating. b) -…

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Q: Identify the curve. x 2 + y 2 = 1 parabola circle point circle hyperbola ellipse

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Q: Use back-substitution to solve the system of linear equations. X - 2y + z = 5 y + z = 8 Z = 3 (х, у,…

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Q: 2" n3 Σ 4"+1 n=1 is convergent or divergent.

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Q: dy 18. 0 do 2y = 0 sec 0 tan 0, 0 > 0, y(7/3) = 2

A: Given problem:- θ dy/dθ -2y=θ3 sec(θ) tan(θ) , θ&gt;0, y(π/3) =2

Q: 3z dz (1 – 4z–2z²)²

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Q: dy for the function y= Find dx (x-1)(x-2)* (x-3)' at @x = 4.

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Q: how did you find the root zeros

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Q: answer

A: We will find the second derivative.

Q: 1 | y/35y² dy 2

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Q: use the first fundamental theorem of calculus

A: To solve the following problem

Q: What is the absolute minimum value of the function f(x) = x - 3x2 on the interval [-2, 4] ?

A: Given function is f(x) = x3 - 3x2 ; -2 ≤ x ≤ 4 We have to find its minimum value.