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Q: L x² cos 2x³ dx? After substitution is performed, which of the following is equivalent to

A: Given that the integrals  To find the evaluate and choose the correct answer

Q: If f(x) = V15x, find f (x). Find f (3).

A:

Q: Find the area of the shaded region. ¡y = x² + 1 ... 5 y = x 2 A B D

A: Area of a bounded region by curves is given by ∬dydx.

Q: Determine if each series converges or diverges. Justify your reasoning. 1 A. - k k=1 k2 k+ln k ak…

A:

Q: 2. Find y ify=xIn (axt1)

A: We will find the derivative.

Q: e equation (2 cose – 1)(3 + tane) = 0 over the interval [0, 27]. solving for trig functions,…

A: We will solve the equation.

Q: dv 4.)Prove that f -Incosv + Insinv + C sinvcosv

A:

Q: 1. Find the area of the region bounded by the given curves. Show the computed areas of sections…

A: Let's find.

Q: The integral of the given function 7 cos xdx is equal to а. 1 b. 2 с. -1 d. 3.1416 e. None of the…

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Q: 3. If f(x) = [ 8+f dt ,find f'(1). .

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Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

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Q: ind the average value of the function over the glven Interval and all values of x In the Interval…

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Q: 4. The complex numbers u and v are as follows: u = 3cis(1.234) and v = 2cis(2.415). Write the…

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Q: Let h(x) = tan (2x + 6). Then h'(2) is and h'(2) is

A: topic- functions and derivatives

Q: Find y ify=xIn(9x+1) 2.

A:

Q: s @ = 135° a solution to the equation sine = cos 0. Justify your answer and explain the approach you…

A: Given query is to find that statement is true or not.

Q: 8. Find y'ifys34-7x+2)+4%-2

A: Differentiation

Q: 22. Suppose the velocity of a particle moving on the number line is given by v(t) = 61² – 4t for…

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Q: Evaluate this double integral. Avoid integration by parts. Hint: Can you reverse the order of…

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Q: Find (3+2)-2i. 406 754 386

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Q: 5- y? = 4x (4, 4) y = 2x – 4 (1,-2) Using a horizontal element of area, the area of the shaded…

A: Here  we have to find the area of shaded region.

Q: SxV9-2x2 dx god Find .000.8S

A:

Q: Give your answer correct to Use differential to estimate the value of y 4.01 V4.01 8. four decimal…

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Q: Find V. (V x F) if F(x, y, z) = 4 sin xi + 5 cos(9x – 10y)j+ 10zk. V·(V × F) =

A: topic- vector field

Q: A line is given by the equation y = x in rectangular coordinates. V3 Which of the following…

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Q: 2 2 2 2 4' 16' 64' 256' 1024

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Q: Use the graph of the parabola to fill in the table. (a) Does the parabola open upward or downwa O…

A: a.   Parabola opens downward   b. Coordinate of vertax. Is (-2,-3)

Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is…

A: Ratio Test : Suppose we have a series  ∑ an.Define,   L =limn→∞ an+1an .The,(i)  If L<1 then…

Q: Consider the following. y = e−x2   Find ) y ' =   Find the slope m of the tangent line to the graph…

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Q: Instruction: Create 1 example problem about Area Region Bounded by Different curves. Write the…

A: This question can be solved using the concept of area bounded by curves.

Q: 23. Find two numbers whose sum is 10 and the sum of their squares is a minimum.

A: Let the two numbers be  x and yx+y=10⇒y=10-xx2+y2=SS=x2+10-x2   =x2+x2-20x+100   =2x2-20x+100

Q: y = xx, x = 4, and y = 0 ... Revolve the area of the shaded region about the line x = 4. Using…

A: We have to apply circular discover method to solve the problem

Q: 10. Write the equation of the ellipse in standard form. Identify the center, vertices, endpoints of…

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Q: Explain why the integral is improper. 18 .6 1.4 1.2 y F0.8 F0.6 F0.4 F0.2 -2 -1.5 -1 -0.5 At least…

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Q: help

A: We will solve the Differential equation.

Q: nd lim l Nx-3 and simplifu X-79

A: Given query is to find the limit of the expression.

Q: (H.W) 1- Solve by choose M this time ( 2 x y² + 3 x² ) dx + ( 2 x² y + 4 y³ ) dy = 0 2- Find the…

A: If the differential equation Mdx +Ndy =0  is exact ∂M∂y=∂N∂x , then solution is                 ∫y…

Q: (c) Use de Moivre's formula to write down a formula for all o words, give a formula for the complex…

A: answer is in next step

Q: 15. Find x² (2x³ + 4)5 dx

A:

Q: Find 17. d Ssin (4x) cos(4x) dx

A: Use substitution to solve

Q: 6. Compute and write the slope of the tangent lines to dx y - xy +6 = 0 at the point (5,2). a. b. 2y…

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Q: Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of…

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Q: dy 15. Vx eu+ Vx, dx x > 0

A: We have to solve the difference equations

Q: 4) 4+ 3+ -5 -4 -3 -2 3 4 5 r -2+ -3+ -4+ 2.

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Q: dr 1/4( In 4) o 1/( In 4) o In 4 In (4) 1/4

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Q: Using the function f(x, y) find the following limits. If a limit does not exist, enter DNE. z* + 5y2…

A: On solving this we will get

Q: Indicate a general rule for the nth term of the sequence when a, = 2 and r =. 3. a, = (2)(J)*| n+1…

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Q: Ay (2, 4) y = 2x y = x2 2. Using a vertical element of area, the area of the shaded region is given…

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Q: csch 3x – 5 [3х — 10. dx V3x – 5

A: 10) To evaluate: I=∫csch43x-53x-5dx Substitute 3x-5=u⇒123x-5(3) dx=du⇒13x-5dx=2du3 ⇒I=∫csch4u2du3…

Q: 25. æ sec (a²) tan(æ²) dæ | sin? x dx (Hint : cos (2x) 26. 1 27. dx 4- (ӕ — 1)? 1 dx 9x² + 25 28. dx…

A: