lve (a) da 2y X x²

Q: B: Evaluate the following: r (4)r (²) 1

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Q: 2x + [2x] x+ 2+ x²+x-2 aluate lim 2x + [2x] x-2- x² + x - 2 and lim

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Q: A || [3 2 4 2 3 0 2 0 -2 1-3 0 3 2 57 10

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Q: Obtain the DE of the family of circles with center on the line y=x and passing through the origin.…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: B: Evaluate the following: r (4)r 1– r 912

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Q: An invoice for $120,700 dated May 26, 2014 for a shipment of furniture has payment terms 1.5/15,…

A: Concept Used: 1.515EOM = There will be 1.5% discount on invoice amount if the payment is made by the…

Q: (2-9x³), find f'(x). Given f(x)= In (2-9x³), f'(x) =

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Q: Let f(x)=3x+5f(x)=3x+5 and g(x)=4x2+2xg(x)=4x2+2x. After simplifying, (f∘g)(x)=

A: We can find the composition of the function.

Q: Find the horizontal asymptotes of f(x) = 5x2 + 8x 4x² - 9 (Use symbolic notation and fractions where…

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Q: A circular walkway is to be built around a monument, with the monument as the center. The distance…

A: Let's find equation of boundary layers.

Q: f(500) = f(1000) = (10000) = Graph f(x) using the graphing utility. f(x) = -10 &x+1 √4x +9 -5 y…

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Q: 2. Given: f(x)= 5x² + 13x+6 |x+2| [4 - 3x] + x, if x < -2 if x ≥ -2 Determine if lim f(x) exists. If…

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Q: 1.) dy dx 2x-y² 1+2yx = 0

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Q: 1- L-1 6S-4 S²-4 S+16 2 (

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Q: lim X118 30x - 7 √√36x² + 7x V

A: limx→-∞30x-736x2+7x =limx→-∞30x36x2+7x-limx→-∞736x2+7x =limx→-∞30x|x|36+7x-limx→-∞7|x|36+7x…

Q: Find the solution of the differential equation dt A. y = 0 B. y = 2 C. y = 2t D. y = -3t E. y = t²

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Q: Sketch the level curves of g(x, y) 1- y² x² where k € {-1,0, 1}

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Q: Find the equation of the line with slope m = 1 that contains the point (-6, –4). Provide your answer…

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Q: Q5/ A: Solve the following differential equation by Laplace : d²y dx² - 4 y = 16 t

A: Differential equation

Q: A cardiac monitor is used to measure the heart rate of a patient after surgery. It compiles the…

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Q: Find the limit: √√-8 lim 2-64 64 Give your answer to at least three decimal places: Submit Question…

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Q: The population of bunnies on Grassygreen Island, B(t), follows the exponential growth model 3(t) =…

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Q: The graph below is of a function f '(x) for some function f(x) with domain (-∞0, 00). 11

A: The given graph representing function f'(x) for some function f(x) with domain -∞,∞ f(0)=8 To find…

Q: Exponential and Log Derivatives "hat is the slope of the line tangent to the graph of y = 2 In(x) at…

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Q: The body mass of a certain type of sheep can be estimated by M(t) = 26.4+0.4t-0.00112 where M(t) is…

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Q: Eliminate A and B from the relation y = Ae²x + Bxe ²x

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Q: The graph of f' is shown. Let f be a differentiable function such that f TT/2 TT/3 TT/6 0 -TT/6…

A: Tangent to a curve y=f(x)  at a point (a,b) is given by y-b=f'(a)(x-a)

Q: Evaluate lim X-2 4x² - 8x x-2

A: Topic = Limits

Q: dx 4. S x ln x

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Q: -y = 16x³ + 4√x +5x

A: Given  y = 16x3 + 4x + 5x We have to evaluate the derivative of this.   We know that ddxxn = n·xn-1

Q: CLASSIFICATION OF DIFFERENTIAL EQUATIONS Classify each of the following differential equations by…

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Q: A = 2 -1 2 5 5 -1 0 43

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Q: Find the a. 3yx² + y² = k b. 3yx² - 3y³ = k 3yx² - y² = k solution of the DE y' c. d. yx² - y³ = k…

A: The given differential equation is  y'=2xy/y2-x2

Q: A = -3 0 17 1] 506 803

A: Topic =Matrix

Q: Question Evaluate 2x²y³ when x = 1 3 and y 1 4

A: Topic =Algebra

Q: Find the solution of the DE (cos(x) + xcos(t))dt + (sin(t) – tsin(x))dx = 0 a. tcos(x) + xsin(t) = c…

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Q: If f(x)=x² - 6x — 7 and g(x) = x+1, - find f(x) g(x)

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Q: What is the integral of the function f(x) = sin 2x?

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Q: Find for the following function. dy dx y = 11 2 cos x 1 – sin x

A: The given function is; y=2 cosx/(1-sinx).

Q: 6S-4 Q4/A: 1- L-1. 52-48+16 B: Fit a second order polynomials to the data in the following: X 5 6 Y…

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Q: - Find the solution of the DE y' = x+√xy ху a. 2 x/y+lny = c b. -2 /y-2lny = c c. 2xy + 2lny = k…

A: The given differential equation is; y'=y/[x+sqrt(xy)].

Q: 3x² + 3x - 1 6x³ - 17x2 - 4x + 3

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Q: Q1. Find the general solution for the following differential equation: -y² (x²ex² - y²)dx+xydy=0

A: The given differential equation is; (x2e-y^2/x^2 -y2)dx + xydy=0.

Q: 6. Solve logsx - log5 (x-16) = 1 for x.

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Q: The representation of an even integer is 2k; and that for odd is 2k+1 or 2k-1 for some integer k.…

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Q: Use the quotient rule to find the derivative of 6 sin(x) - 8 10x10 + 3 You do not need to expand out…

A: Disclaimer: According to guidelines we cannot provide you with handwritten answers  Here is the…

Q: The count in a bacteria culture was 100 after 20 minutes and 1600 after 35 minutes. Assuming the…

A: The growth of bacteria is given as , ft=cekt Growth rate (k)=?

Q: 3. f(x) = tan(sin x²) 4. y = log2 (5x³− x² + 1)

A: Given functions are  a. fx=tansinx2b. y=log35x3-x2+1 We have to differentiate both of them.

Q: and the 1st derivative of x³ + y³ - 6xy = 0

A: Topic: - application of derivatives

Q: A mummy was recently discovered. It now contains 66.7% of its original Carbon 14. About how old is…

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