Use Matlab Commands to solve the following exercises: Excercisel: a=<4, 8, 3> b= <1,-1, 4> Find i. 5a + 2b ii. |3a - 2b|

Q: S²- 16-x2 A 2 B) 8 0 None 4 E dx is equal to

A: I am attaching image so that you understand each and every step. Option "C" is correct answer.

Q: y = 4 16 3x+3

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Q: dx (5-4x-x²) 18. 8. f

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Q: What is dy/dx of the given function ³ - 2y² = 6 ? 0-²2 3:² CHE o 3,212

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Q: y dy Find S √y+2 A(√3+2-5) (5√3+2+y+24) + C B (√y+2-5) (5√/y+2¬y+24) + C 3 Ⓒ²(√x+2-5)(-3√x+2+y+21) +…

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Q: D. Calculate volume enclosed by (z = 8 - x² - y²) and (z = x² + y²), (Use order dy dz dx).

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Q: 3) dy dx - y = sin x

A: We have to solve the given differential equation.   According to our guidelines we can solve only…

Q: 2x²+x+1 S (x− 1)(x + 1)(x − 2) dx = ₁ 11 (A) 3 (B) None 11 C 3 (D) -SA+ 1 3 E -2 B + x+1 x-2 Q dx,…

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Q: Question 7 x3 -4 16-x² (Α A 8 (в B 0 C) None D 4 E 2 dx is equal to

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Q: Fill in the missing steps to determine convergence or divergence of the following series 2(1. n-1…

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Q: Use the table to the right to find the given derivative. d xxx) 1x=5 (Simplify your answer.) |x=5 X…

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Q: S tan³ √√√x X X dx

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

A: Solution of given question is written in below steps.

Q: x 0 Can also be displayed as: f(x) = [x - 1 when x < 0, 1 when x = = 0, x² 1 when x ≥ 0] For this…

A: The given function,     fx=x-1,x&lt;01,x=0x2-1,x&gt;0

Q: 50 50 [ ³0 (ax³ + bx² + cx) dx = 2b [³ -50 (A) True (B) False x²dx

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Q: Supposem and n are constants and m #n. Evaluate sin(mx) cos(nx) dx² 1 A -sin(m-n)x+ -sin(m+n)x +n)x]…

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Q: the correct steps to evaluate cos²20 dº is 0 One of Ⓒ[-[²04 A de sin²20d0 0 0 [1²4] B de- cos 40d0…

A: We use double angle formula  cos(2x) =2cos2(x)-1  cos2(x) =(1+cos(2x))/2

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

A: This question is related to definite integration, we will solve it using given information.

Q: 1. y = Ax² + Bex 2. y = C₁ ex cos3x + C₂ ex sin3x 3. y C₁e* + C₂e²x + x 4. Iny = C₁e* + С₂е¯* 5. x =…

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

Q: 4. t²dt /t° +1 3√/₁³

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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: dx e* + e* +ex 5. ・ So =

A: We can find the answer as below.

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

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Q: For each function graphed below, state whether it is one-to-one. Graph 1 Graph 2 8- 4- 6+ 2+ 4-…

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Q: S [= sinºxcos³xdx is equal to 16″ 105 2 63 2π 63 Evaluate: A B C D E 16 105 None

A: SOLUTION-

Q: dx 2. √ 9x² + x³² 12.

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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…

A: We have to calculate the area of the smaller region bounded by x+52=2y from left sides,and bounded…

Q: The volume of the solid generated by revolving the region bounded by x2-4y and y2 = 4x about b using…

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

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Q: The graph of f(x) passes through the point (4, 0). The slope of the line tangent to the graph at the…

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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…

A: Please see the below picture for detailed solution.

Q: Question 1 1 Define Q as the region bounded by the function f(x) = x and the line x in the first…

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Q: QUESTION 1 In x Complete the following table to evaluate the limit lim X-00 √x Step Explain the step…

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Q: b The volume of the solid generated by revolving the region bounded by x2-4y and y2-4x about y = 4…

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Q: Q2/ Find the value of the integration by Simpson's method when 3 = n, then compare the result with…

A: We have  slove above integration

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

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

A: Given

Q: A payment of $25,000 is due today. What three equal payments, one in 2 years, one in 4 years, and…

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Q: (D² + 4)y= 4 cot 2x

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Q: Covered topics are Applications of Definite Integral: Plane Areas and Areas Between Curves and…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 3. S tan¯¹ √√x dx

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Q: dx can be transformed to which of the following when trigonometric substitution is used? (x²+4)²…

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Q: 12. S e 3In(2x-1) 2x - 1 - dx

A: The given integral is: I=∫e3ln2x-12x-1dx   As we know the Power Rule: ∫ax+bndx=ax+bn+1an+1+C

Q: Read, analyze and solve for the following. Express your answers as decimals rounded off to two…

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Q: Sand is poured at the rate of 10 m3/min so as to form a conical pile whose altitude is always equal…

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Q: A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the…

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

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Q: Differentiate the following functions using Chain Rule: 1. y = (4x + 3)² 2. y = √5x-2 3. y = (6x-4)²…

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Q: 14. sec xdx 2 3/2 (1 – 4 tan x)³/²

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Q: y = 9x² and y = 0 about x = −4

A: Given:        y=9-x2 and y=0         x2=9           x=3 about x=-4