Solve the equations: 8х - 2у - 13 -2x +5y- 8.

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A: As per the guidelines we can solve 3 parts only 

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Q: Zul v2 2vl du anr v/ v2 co 2x

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Q: Question 5 5 Given: dx. Using u-substitution and transformation of integrand, what is u and du? 3/x ...

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Q: Write the first five terms of the sequence, give the exact answer: +00 n+ 19 n=1 Determine whether t...

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Q: ne sketch. base 120 130 140 QUESTION 6 Water is scarce in South Africa. The annual average rain fall...

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Q: 4. f(x) = (Vx)(x² – 2x) %3D 5. y = (x + i)(x² – 1) %3D

A: derivative

Q: 14 n+3 n+2, n=1

A:    ∑n=14n+3n+2Compute the sum of an=n+3n+2 for n=1…4=43+54+65+76=9920

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Q: Use the binomial series to find the Maclaurin series for the function. 4 f(x) = V1 + x 1 f(x) = 1 +-...

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Q: Given: JV5x² - 3 xdx. If we let u= 5x - 3, which of the following u-substitution formula is applicab...

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Q: 1. Let (r + 2)², if I 0. (a) Give the r coordinate(s) of the possible point(s) of discontinuity of ...

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Q: 1. Evaluate the limit if it exists. If it does not exist, justify. 2 cos(3x? + 5) + [6x² +2] (a) lim...

A: Please see the below picture for detailed solution. 

Q: When you perform polynomial long division on the rational expression a²+3x+3 the numerator of the re...

A: The rational expression,    x2+3x+3x+1

Q: (x + 1)2 and the line (x+1)?, 1, where a is the same constant. 4. Let Si be the area of the region b...

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Q: (11) Which of the following functions f: Z x Z Z is injective (A) f(1,y) = 1/y (B) f(x,y) = x+y (C) ...

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple quest...

Q: The function f(x) = Vx – 2 + V4 – x is increasing on (-∞, 3) and decreasing on (3, co) increasing on...

A: graph of the function is - 

Q: B. Prove that the given equation is a solution to the given DE: 5. x= 2t + C; y = Ct + 3 ; 2(y')2-xy...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 00 k+1 Σ (2k –...

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Q: Calculate F . dS where F = (4x°z, 4y°z, 3z*) S is the surface of the solid bounded by the hemisphere...

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Q: Given: / 5x2 tan(3x³) dx. Ifu=3x°, then the resulting integral is Jf(u) A B none of the choices 5 18...

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Q: 04) Prove that 1- Cos + x) = sin x, 2- (sin x +cos x) sec x = sec2 x %3D

A: We have to prove that following trigonometric identity.

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Q: Use the difference a41 - a, to show that the given sequence (a,] is strictly increasing or strictly ...

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Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

A: ∑k=0∞78k+2

Q: 1 and b, = n2 Let a, = A- 2 Calculate the following limit. an lim bn (Give an exacanswer. Use symbol...

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Q: df dy In each of the following, find and (j) f(x,y) = eaz+by

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Q: Solve the following differential Equations

A: Given differential equation, x2+y2+1dx+xx-2ydy=0x2+y2+1dx+x2-2xydy=0 Formulas used, ddxxn=nxn-1ddxco...

Q: 1. Consider the relation R1: R R2 such that (r1, y1)R1 (x2, y2) if and only if both points are on th...

A: We are given a relation  R1: R2  -&gt; R2  such that any (r1, y1) , ( x2, y2) ∈ R2 are related to ea...

Q: 3) A businessman ventures to put up a digital printing shop which caters to printing of t-shirts for...

A: Let the number of t-shirts that will obtain maximum gross return is = 50+x. In this case x t-shirts ...

Q: Solve the differential equation below: find the value of y and y' at x=2 4y′′+y=6+9+7; at x=π, y=0,...

A: We are given the following differential equation. 4y′′+y=6+9+7; at x=π, y=0, y′=1 Or 4y′′+y=22; at x...

Q: = 6 sin x at the point Find the equation of the tangent line to the curve y /6, 3). The equation of ...

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Q: A businessman ventures to put up a digital printing shop which caters to printing of t-shirts for an...

A: Let the number of t-shirts that will obtain maximum gross return is = 50+x. In this case x t-shirts ...

Q: 3. Define the function sin(2x – 2) x 3 3' - Determine if f is continuous at x = 1 and x = 3. If dis...

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Q: Differentiate the functions by using product or quotient rule. a) f(x) = (1 – 3x?)• e Зx+1 b) f(x) 2...

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Q: Find f'(x) for f(x) = (x² +4) sec(x) f'(x) = x^2secx+tanx+4secx tanx+2x secx %3D

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Q: Question 10 cot (2x) Evaluate the integral Vcot (2x)- 15 cse (2x) A) --Arcsec 4 4 cot (2x) B) Arcsec...

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