12. dx Ve -1

Q: | 5 dx Evaluate: (x-3)² (Α) - 1 B) ∞o (does not exist) C) I D 0 (E) None

A:

Q: +√√² cas² S 4 cos²20 de is One of the correct steps to evaluate @ 1²00-1/²160²20 4 de- A sin²20d0 Ⓒ…

A:

Q: Let S be the solid of integration of the given integral Q. (1.) Sketch S and label its boundaries.…

A: Let's solve given triple integral by using cylindrical co-ordinates.

Q: If 10 fro A True B) False f(x) dx = 17 and 8 Lof(x) d f(x) dx = 12, then 10 ["fo f(x) dx=5

A: ∫010 f(x)dx = 17 ∫08 f(x)dx = 12 ∫810 f(x)dx = 5

Q: The integral O [se Ss S S sec²0 de 1+ tane sece tane de sece - 1 O x dx x²+√√x²-1-1 sine de 1+ cose…

A:

Q: Question 11 Evaluate €S= A B C D 3x5 3x4+6x³-3x² - 6x x²-2x-In x² - 4x 2 x² - 2x 2 x² - 4x + In +…

A:

Q: S= Evaluate Ox² - 4x 2 Ox²–2x 2 O x² - 2x - In x² - 4x 2 3x5 3x4+6x + In 3x² - 6x - (x-1) 1/6(x+2)…

A: Explained below

Q: π 5π Find the area bounded by the trigonometric curves y=sinx and y=cosx from x== to x== 4 4 (A)…

A: The region bounded by the curves y=sinx and y=cosx from x=π4 to x=5π4

Q: Determine the area of region by y = x^2 + 4x and the y - axis

A: Area between the y=x^2+4x and y-axis is unbounded .  So, we will find the area bounded by the region…

Q: Find 36 zdV, where E is the solid tetrahedron with vertices (0,0,0), (3,0,0), (0,6,0), and (0,0,2) E

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Q: La te is 6x⁹-x5+ 4 A T B 2n C) None Л D 2 E) 0 dx is equal to

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Q: Evaluate S= 3x5 3x4+6x33x2 - 6x + In O x-2 2 x² - 4x 2 O x² - 4x + In 2 x²-2x-In + In -dx using…

A: Given problem:-

Q: 19. dx 1 Je²x_8 2x -8

A: The solution is given in the next steps.

Q: 4. f In (2x + 1) dx =

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Q: y" + y = tanx

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Q: y" + 4y= cos²x

A:

Q: If an investment grew to $13,500 in 3 years and the interest amount earned was $1,531.34, calculate…

A:

Q: Determine why dx converges or diverges.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 6) INVERSELY LOGARITHMIC The following information is given about a logarithmic function of the form…

A:

Q: A 38. Which of the following equations is the correct representation of the perimeter (P) of the…

A: Given:  38) Norman Window:

Q: One of the correct steps to evaluate A B) None Ⓒ [+ + [ 1².40-16.4040] -S de cos 40d0 + [ 140 + 1 =…

A:

Q: ad Find the equation of the tangent line to the graph of the given function at the given value of x.…

A: We have to solve the trangent line y

Q: 5 dx Evaluate: (x-3)² 1 A B C D E -1 ∞o (does not exist) 1 0 None

A:

Q: 2y”” − 3y" — 3y² + 2y= (e* + e*)²

A:

Q: Q = - ST 8-x²-y² x² + y² y dz dx dy

A:

Q: 3. S tan¯¹ √√x dx

A:

Q: Which of the following statements is NOT true about the derivative of the function? The derivative…

A: The geometrical meaning of derivative is , the slope of the line segment tangent to the function…

Q: (a) An archaeological artifact is found to have 45% of its original carbon-14. How old is the…

A: Decay and half life

Q: Question 12 Consider ·S S(x-1 x-m+ (A) 17/6 B) 14/3 6 D) 5 3x5 3x4+6x²-3x² - 6x A B C + -+ x-1 x+1…

A: Consider ∫3x53x4+6x3-3x2-6x dx. Using the method of partial fractions, the given integral can be…

Q: 4. 13x²-1 3 X-X -dx

A:

Q: Suppose m and n are constants and m‡n. Evaluate [sin(mx) sin (mx) cos(nx) dx 1 _____cos (mn)x -…

A: We have to solve integration

Q: S Evaluate: A None 1 dx (x-3)2 (в B D -I (E) ∞ (does not exist)

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) x4 - 14y² lim (x, y) (0, 0)…

A: To find the limit of the function

Q: əz Əz Əx Əy Q5-A) If z =(x +by)² +e+by+sin( ax +by) show that b =a

A:

Q: Find y dy S using the substitution u +5=√√y+2. √y+2 A (√9+2-5) (5√3+2-1+24) +0 B (√y+2-5)…

A:

Q: True/False 1) d[f(x) g(x)]/dx= f'(x)/g'(x) 2) d[f(x)]"/dx= n[f(x)] f'(x) and…

A: This question is based on diffrentiation and integration.

Q: . In/du/u if u>0, then the result is O . In [lul+c] O Inu+c O In(u)+c O In [(-u)+c]…

A:

Q: Evaluate: 2 sinxcos³xdx is equal to 0

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Q: Q1/B) Find the length of the cardioid curve: r = 1+ cose

A: A detailed solution is given below.

Q: Change the order of integration of the iterated double integral: -8 r2 To for Y dx dy. 1/3 x7 +1…

A: Let's change the order of given integration.

Q: 16. Find the area bounded by the curve y=-x³--x²+3x and the line y=x. 16 4

A: 16)Given,y=x316-3x24+3x and y=x

Q: A) None 3 В) 512 Зл 256 3 256 Зл 512 (C) (D) Ε) sin√xcos√x √x E -dx is equal to

A:

Q: Let S be the solid of integration of the given integral Q. (1.) Sketch S and label its boundaries.…

A: Given

Q: < d dx x² 2 tan t²dt=2x tan.x² (A) True B) False

A: Formula :

Q: 1. xpzx-91/f

A: As per Bartleby guidelines rule I am answering only first question as second question is not a…

Q: x2 £f* dx X A) True B False tan 1²d/= 2x tan.x²

A: We have to find derivative of given integral.

Q: y = x4; and y = 1 about y = 2

A:

Q: π Find the area bounded by the trigonometric curves y = sinx and y=cosx" from X=- 3.459 square units…

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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5)2=2y, the…

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Q: 4. Being careful to allow for parts of the curve being both above and below the x-axis, determine…

A: Being carefule to allow for parts of the curve being both above and below the x‐axis, to determine…