MULTIPLE CHOICE Question 5 Given the following matrices, find 2B- A. -20 5 3 2 0 and B = 17-3 4-3 1

Q: Find the first derivative of y = (x – 1) √ (2x – x2) + arcsin (x – 1) and y = arctan [ (3 sin x) /…

A: y=(x – 1)(2x – x2)   +sin-1(x – 1) y'(x)=d(x – 1)2x – x2   +sin-1(x – 1)dx        =d(x – 1)2x – x2…

Q: Use calculus to sketch the graph of the given function. (c) f(x) = 3 – (x +1)³ |

A: The given function,     fx=3-x+13

Q: Suppose f(x, y) = x2 + y? where x = r cos 0 and y = r sin 0. af and Or 1, 0 = 6 Find -when r

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Q: SxV-1 dx 16.What is the inner/main function ? 17. What is the derivative of the inner/main function…

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Q: wen F(x) below, find F'(x). F(x) = dt I+8 rovide your answer below: F(x)-D I FEEDBACK MORE INSTRUCTI

A: Topic:- function And it's integration

Q: 30 +4) de 3e+ )

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Q: Evaluate the following integral. Answer in 3 significant figure, exponential form, no units, no…

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Q: The area of the region bounded by y=x2+2, y=−x, x=0 and x=1 is using horizontal strip xright-xleft

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Q: Solve the equation (D² – 3D + 2) y = 2e¬* + 8 O y = cje2x + C2xe¯* + 4 + ze* O y = cje2x + cze² + 4…

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Q: 18-19. In xy = 4, let x and y be differentiable functions of t. Evaluate at x = 10 and = 20. dt dy…

A: A detailed solution is given below.

Q: L fx, y, z) ds. Evaluate f(x, y) = 9y – x S: r(u, v) = cos(u)i + sin(u)j + vk Osus", 0 svs1

A: We have to evaluate the integral.

Q: Find the differential dy: y = In(sec² ( 3ª²–20+5 312-2x+5 O (E) None of the choices dy = 2 (x – 1)…

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Q: d³x d?x dx dt3 dt² dt (D3 – 2D? – 5D + 6)y = 0 ; when x = 0, y = 1, y' = -7, y" = -1 (4D5 – 23D3 –…

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Q: Find the average value of æ on the interval 0, 4| O 16 O 64

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Q: 8. f2*Inx dx(ו1 + In)x

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Q: An inner city revitalization zone is a rectangle that is twice as long as it is wide. The width of…

A: Let the width of rectangular region be ' w '

Q: Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile…

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Q: Find the dy/dx: Given y = 3x +2x-1

A: solution:-y=f(x)=3x2+2x-1f(x+h)=3(x+h)2+2(x+h)-1             =3x2+2xh+h2+2(x+h)-1…

Q: A ladder of length 15 meters is leaning against the side of a building. The foot of the ladder is…

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Q: Given the surface 9x^2 − 4z^2 = 9y. 1. Find its traces on each coordinate plane and on the planes…

A: Note: There are multiple questions. Few questions has multiple subparts.No specific question has…

Q: 2. Solve the equation: y" – y " -2y' = 0 O y = cje* + c2 + cze2* O y = cje* + c2e* + c3e2*

A: The given equation is  y'''-y''-2y'=0

Q: 2. Find the equation of the normal line to the graph of y = x²(1+ In.x) at x = e. Write your answer…

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Q: dx sin" 3x tan 3x

A: The objective of the question is evaluate the indefinite integral.

Q: B. Direction. Find a counterexample for each of the following statements. Show your solution. Write…

A: Solve it

Q: D. Define the multiplication operation * as modulo 10 in G = {1, 3, 5, 7,}. Cr table for this.…

A: Topic:- algebra

Q: ACTIVITY 2.Solve the given below. Show your complete and exact solution. 5. Given the function f(x)…

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Q: dx 4 sın*3x tan

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Q: 3. Accumulate P2,500 at 5-% simple interest from November 6, 1988 to April 11, 1989. 12

A: Given :Principal = P2500Rate =535=285%Time : Nov 6, 1988 to April 11, 1989

Q: 2. (sec 5x t Csc 5x) dx

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Q: 2r³ – 4x² – x – 3 dr x² – 2x – 3 in |x + 1|+ 3 1n|x – 3| + C in |x + 1| – 3 In|x – 3| + C Option 1…

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Q: A ladder of length 8 meters leaning against a wall starts to slide. If its upper end slides down the…

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Q: 9. Sin 2X dx COS 2X

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Q: = 1 and z = g(x, y) > 0. Determine gz 23 2/2, Suppose 3x2 + 2y² + z2 and gy 2/3' 2/2

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Q: 18. Convert 5 radians into degrees. First find the exact answer (no decimals or rounding, please).…

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Q: Calculate the following limit using L"Hopital's rule: e* –1-x lim(z→0) O 1/2 O 1 O - 1/2

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Q: need

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Q: 5. A small metal bar, whose initial temperature is 20°C, is dropped into a container of boiling…

A: According to newton law of cooling: dTdt=-k(T−Ta​)  Where T is the Temperature of the body and Ta is…

Q: Find the first partial derivative wx, wy, wz of ( x  +  yw )2 –  ez  – 2 = 0

A: Let's find partial derivative of given function.

Q: Supply the missing integrand and limits of integration. ... (3x² – 2xy + y³) dx dy = | dy A I (36-4y…

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Q: Find the enclosed area by the curve with equation f (x) = x² – 4 and g (x) = 8 – 2x2 40 35 36 32

A: To find the enclosed area between given two curves.

Q: Using Wallis formula, find the integral of the expression. Answer in fraction form, no units, no…

A: Follow the procedure given below.

Q: Find the equation for the plane through the points Po(-5, - 2,- 2), Qo(3,2,4), and Ro(4, - 1,- 2).…

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Q: The position of a particle in meters at time, t, seconds is given by s(t) = cos2(3t). Find the…

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Q: Solution: Here * = Sin x The graph is Ine Shadded negion find i The required of we have to the area…

A: Let's find  area of given curves y=e^x from x=0 to x=1.

Q: Supply the missing integrand and the limits of integration - 2sin 0 r cos?0 dr d0 = _d®

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Q: Find the work done by winding 3 meters of a cable if the force applied to wind the cable by x meters…

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Q: x² – 3x – 7 - dx (x² + x + 2)(2x – 1)

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Q: 1. Find the area bounded by the curves y?=2ax, y²=4ax-a? 2. By integration, show that the area of a…

A: As you have asked multiple questions so I have answered first question as per the guidelines

Q: Solve for x: log(x) + log(x + 3) = 2

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Q: Suppose f(x, y) = (2æ)" + 3y". Find f# (1, 1), fy(1, 1), and fyy (x, y)

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