13. sin? 4x cos² 2x dx T/2 14. S sin? x cos³ x dx

Q: 1) Consider the DE x²y" – xy - 15y = 2x - 4 %3D | A) Verify that y = x and y2 = x x-3 satisfy the…

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Q: In AZXY, y = 11m, x = 12m, mZZ = 141°. Find the area of the triangle and round to the nearest tenth.…

A: Find the area of triangle

Q: P8: sin x cos x -dx J (2 sin x – 1)(sin x + 1)

A: ∫1au+bdu =1a lnau+b+C

Q: The demand and supply equations for an MP3 player are given by p = 123 - 11x p = 72 + 6x Demand…

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Q: = e3 + C is the general solution to the differential equation: y' = 3y. Select one: O True O False

A: We need to choose correct option.

Q: Let f(æ) = tan-(sin(7«)) f'(x) =

A: Let's find.

Q: | 4.5x + 3.2y = 7.7 0.8y 0.9x 0.1

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Q: Determine if the infinite series is convergent or divergent. n+1 n=0 n+3

A: Here we have to check whether the series is convergentvor divergent.

Q: 1. Consider the point in the plane whose Cartesian coordinates are (x, y) = (-10, 24). 1.1. Find…

A: From cartesian to polar coordinates we have the following conversion formulax2+y2=r2 i.e.,…

Q: The following series is divergent: (n°-2 Σ n=1 5n4 Select one: O True O False

A: Solve the following

Q: b) sin(xy) = sin(x) + sin(y)

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Q: dy Differentiate implicitly to find xp ex*y = 7x+ 3y +3 Evaluate the derivative of the each side of…

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Q: X -5

A: We have to find the function

Q: P5: 4 – 9x²dx

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Q: 7. Evaluate [(5+ e*)dx. A) e* +C C) Ce* +5 B) 5x+e* +C D) 5+e* +C a d

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Q: Jx In x dx S x

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Q: 5x+9 e

A: We need to evaluate the following integral I = ∫e5x+9dx                           ........1 Formula…

Q: 10. S V9x2 + 64 11. ( sech?(In x) 12. S cosh(5x – 7) dx

A: Given

Q: Question 3 [ a} J: Determine whether the following series (-1)"5"-1n Σ 42n+1 n=1

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Q: Evalute The Line integral of The Fiel f=xi+zj+yK o ver The helix rz cost i +sintjt tK for osts I

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Q: A ball is thrown upward from a height of 0.1 m at an initial speed of 36 m/sec. Acceleration…

A: Find your answer below

Q: A population of bacteria is growing according to the equation P(t) = 2000e0.05t. Estimate when the…

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Q: f (x) +f (1 – 4 ) = x

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Q: Kyle wants to build a rectangular pen for his animals. One side of the pen will be against the barn;…

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Q: Solve the system of differential equations 3x1 + Ox2 x2' 4x1 + 5x2 X1(0) = - 3, x2(0) = 7 21(t) =…

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Q: 7) Find all the second partial derivatives of f(x,y) = x³y% + 2aªy.

A: Second derivative

Q: Complete the following steps for the given function, interval, and value of n. a. Sketch the graph…

A: Given, f(x)= 2x²+1 [1,6] n= 5

Q: man wishes to use 100 feet of fencing to enclose a rectangular garden. Determine the maximum…

A: Given query is to find the maximum possible area.

Q: Use the Quotient Rule to compute:

A:

Q: Given the function y = x3 - 5x2 - 8x + 3. Determine the following: a. maximum point b. minimum point…

A: The given function,  y=x3-5x2-8x+3

Q: Plot the polar curve r(0) = on [0,57].

A: Given that,  r(θ)=θπ on 0,5π

Q: A particle is moving with acceleration a(t) = 36t + 2. its position at time t = 0 is s(0) = 2 and…

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Q: (#10) The implicit derivative formula on a surface F (x,y, z) = 0 is: az Fr F, Evaluate dz/ax on the…

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Q: ZB — 108°, а — 21, b 3 19 %3D

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Q: 8 Find tong 20. 1f (us @=4 and sn e

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Q: Question 1 ( (a) Use the Second Derivative Test to find the local extreme values of the function…

A: As per guidelines, I can answer only one question. Since you have asked for multiple, so I did first…

Q: 9. Which of the following is one of the possible answers when you integrate the expression 2csc² x?…

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Q: (c) sin 3+ 2 sin? B = 1 [0, 27) 3+2sin B1 sin sinf-o osin ßt=0 Need to factor first

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Q: 6.) What is the derivative of f(x) = x| at x= 07 a.) r'(x) = 1 c.) f'(x) = 0 b.) f'(x) is undefined…

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Q: e2 dx 4e2x – 8e* + 5

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Q: Find the derivative of the following function. y = 3.7* y' = ]

A: As per our company guidelines we are supposed to answer only one question. Kindly post other…

Q: Problem #8: A rocket is being launched. After a while, it rises at a constant velocity of 30 miles…

A: Let's find.

Q: What is the absolute maximum value of the function f(x) = x³ – 3x2 on the interval (-2, 3] ? %3D a.…

A: topic- extrema of function

Q: Use substitution to determine whether the given x-value is a solution of the equation. -5 tan x= 3 O…

A: topic- trigonometric equations tan(-θ)=-tan(θ)tan(π-θ)=-tan(θ)

Q: Solve the triangle. Round your answer to the nearest tenth. 26 42 В 17 mLB 3D 112°, а 3D 25.9, b —…

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Q: La (x3 – 2x)dx -2

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Q: The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of…

A: Explained below

Q: If the characteristic equation of the differential equation y"+2y'-3y = 0 is m² + 2m – 3 = 0, then…

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Q: Aruduns B) 3 cucans cockuns D)radrans cucians radians 5. COAvert the ancle in radiGns to degrnes. 55…

A: 6) cos(theta)<0, csc(theta)<0. 7) theta is -5 pi/4.

Q: 1 lim, „(e* + x)÷ +00

A: Explained below