For the polynomial g(x) = x³ − 5x² + 5x + 3 - Express g (x) as a product of linear factors. below, 3 is a zero.

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Q: Q1:-Solve the following equations (choose three only):- 3- x²y + 3xy' + y = 0 4- 2-4x+ 5y = sin3x dx…

A: Given

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A: Here, the given region is bounded above by the curve y=g(x)=4 and bounded below by the curve…

Q: Question 16 Given the function (6x + 9 f(x)= ₹

A: We have to find the value of function at given values.

Q: Which of the following is the derivative of (x³ + 1)(x² + 2x)? 3x²(x² + 2x) + (x³ + 1)(2x + 2) 3x²…

A: This question is based on product rule of differentiation.

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Q: Given: xy =tan(x - y). Find dx/dy. tan² (z-y) soc²(z-v) +tan² (z y) sec (x−y) -sec² (2-y)-z 當…

A: find derivative dxdy from equation xy=tanx-y

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Q: Given functions g(x)=√x+14 and f(x)=z-6, state the domains of the following functions using interval…

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Q: Evaluate the line integral. [(x - y) ds C: x² + y² = 16 Lox (x - y) ds = C i

A: Evualate the line integral

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. +9 So. || 4 + 12² || ll ti 247.18 dt =…

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Q: A 10,000 litre rainwater tank is to be built in the shape of a cylinder. It must be at most 3 metres…

A: As per our guidelines we can answer only 3 subparts of the given equation. Kindly repost the…

Q: A particle is moving with the given data. Find the position of the particle. a(t) = 2t + 9, S(0) =…

A: In this question we have to find the value of s(t).

Q: Find r'(t), r"(t), r'(t) r"(t), and r'(t) x r"(t). ● r(t) = 2t²i - 2tj + = t³k (a) r'(t) (b) r"(t)…

A: Let's find.

Q: I want all the laws of trigonometric functions and the laws of their integration

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Q: derivative of 4x³?

A: Find the derivative of 4x3                 Let        y= 4x3

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Q: Find the maximum area of an isosceles triangle inscribed inside the ellipse x²y² 1, + = a² 62 with…

A: Given problem:- Find the maximum area of an isosceles triangle inscribed inside the ellipse x2/a2…

Q: Given: xe² + In(x - y) = . Find dy/dx. Given: y = (In x), find dy/dx. Find the derivative of f(x) =…

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Q: 8 765 4 3 2 1 -7-6-5-4-3-2 4 -2- -3 Clear All Draw: 4 -3 -6- 1 2 3 4 5 6 7 8

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Q: Let G₁ be z = 6-√√36 - x² - y² and G2 be the upper nape of x² + y² - 3z² = 0. If S is the circle…

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Q: d Calculate =[rı(t) · r₂(t)] and [r₁(t) × r2(t)] first by differentiating dt the product directly…

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Q: Finding the Area of a Region In Exercises 5-14, sketch the region bounded by the graphs of the…

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Q: We can prove that if D is a region bounded by a simple closed path C in the xy-plane, then the…

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Q: Write the first four terms of the sequence whose general term is given below. (-1)^ 4 +1

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Q: x = 10t, y = t², (0 ≤ t ≤ 1). In each part, evaluate the line integral along C. NOTE: Enter the…

A: To find the values of given line integrals.

Q: Activity 2.2 For the given function sketch the graph; determine if f is continuous at xo and…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Susan invested $2,500.00 per year in an IRA each year for 10 years. The interest rate was 7%…

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Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

A: Explanation of the answer is as follows

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Q: 1. Let f(x,y) = 819.11 IIY x+y+1 Find:

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Q: Find the indefinite integral. (Use c for the constant of integration.) [ (41²³1 (4t³i + 14tj - 6√tk)…

A: Given that we need to solve the indefinite integral with using integral constant C.

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A: The given integral is x2/3 +8 limit from 1 to 2.

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A: Let's find.

Q: Applying the First Derivative Test In Exercises 29-36, (a) find the critical numbers of the function…

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Q: Describe the graph of the equation. r = − 12 i + (1 − t²)j + t k It is a parabola in the plane z = O…

A: Description about graph is given.

Q: we have 27ft squared of material to build a box of maximum volume with a square base and no top.…

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Q: Let f(x)=x2+2x-1 and g(x)=2x-4. Find 3f(x)-2g(x)

A: Given fx=x2+2x-1 &amp; gx=2x-4 To find 3f(x)-2g(x):

Q: Activity 1.3. B Evaluate the limits of the following functions. 3. lim (ex + 2) -X+0

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Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A: Evualate the vector valued function

Q: Find f. f(x) = f ''(x) = cos(x), f(0) = 4, f'(0) = 5, f "(0) = 7

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Q: r(t) = 8 cos(t)i +8 sin(t)j + tk; t = 2 8 √65 65 √65 0. = X 65 = 0 - 10 .

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Q: Find the limit. NOTE: Enter the answer using round brackets. t² +1 1 lim t +∞ (?, ?) 6t² + 7' 3t ||

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Q: trignometric

A: We will find the solution.

Q: Which of the following is true about the graph of f(x) = 3/(x+1)? a. It is continuous on (-6,-1]…

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Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: 2. Evaluate the following integral, or determine that it does not converge. 126 2e dr 1+ ²z

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