Simplify the following: 5 2 + x² + 5x + 6 x² + 4x +3

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Q: elimination of arbitrary constant хзуч- 16x2 уб +30c Fo

A: Need to eliminate the arbitrary constant c.

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Q: Find the limit of the function lim x → − 6 ( 2 x + 12 /| x + 6 | ) .

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Q: Q5. Find a general solution for the following second order non homogenous ODES. y"-4y' + 4y = 2e²x +…

A: Given: y''-4y'+4y=2e2x+4x-12 So, we can also write as; D2-4D+4y=2e2x+4x-12 The auxiliary equation…

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Q: 1. Calculate dy da for the following: (a) y ln(x + 2x³ - 6), =

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Q: Evaluate the following integrals. b. "f2 sec² xdx (2x+5)dx

A: Topic:- application of integration

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Q: Let g(s, t) = (sin(s)-t, e, s) and f(x, y, 2) = e²+²y+z Compute(fog) at (0,0).

A: See the details solution in belo

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Q: Suppose y sec-¹x. Then a arcsec O sec y Y sec Y

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Q: Suppose f(1) = Let h(x)= arcsin(f(x)). h'(-1) = and f'(1) - 2.

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Q: A random variable, z, has p.d.f. f (z) = e ², 0 =< Z < 1. Calculate the expected value of z. 1 O a.…

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Q: Find the inverse function of f. f(x): = -64, X>0

A: To find the inverse of a function f(x) : Rewrite f(x) as y Switch x and y  Solve for y

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A: NOTE: Refresh your page if you can't see any equations. . take derivative

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A: Topic = Functions Correct option = neither

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Q: The means of 6, 6, 6, 6, 6, 6 is 6? a. O False O b. True

A: In this question we have to find mean.

Q: 1. If x'y-xy² + x² + y² = 0 find y'. 2. If x² - xy + y² = 3 find y' and y".

A: I have solved step by step both the questions in detail usin simple diffrentiation....go through the…

Q: question 7. x + 128x + 96x = 0 answer 7. x = C₁e(-64+20√10)t + C₂e(-64-20√10)t

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Q: Find the domain of the function. (Enter your answer using interval notation.)

A: Topic:- function          Definition:-   the domain of a function is the set of input values for f,…

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Q: Find the exact arc length of the curve over the stated interval. y=x²³ from x=1 to x=8

A: Please see the below picture for detailed solution.

Q: 5. Oil flows into a tank according to the rate F(t)=1+1, and at the same time empties out at the…

A: Please see the below picture for detailed solution.

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Q: Suppose f(x) and f'(x) have the following values. I 5 6 7 8 9 f(x) 14 18 8 6 11 f'(x) -3 7 -10 -9 2

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Q: There is a ready polar formula for negative one (-1) and also a ready polar formula for negative i…

A: As we know that any complex number z=a+ib can be written in polar form z=reiθ, where r=a2+b2  and…

Q: Consider the following polynomial functions. Answer parts a through f below. f(x) = (x-7)(x-8)(x +9)…

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Q: Let f(x) = x²²-2x-24 x-6 Find a) lim f(x), b) lim f(x), and c) lim f(x). X-6 X-0 X→-4 a) Select the…

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Q: Find the domain of y= 6x-1 √25-x²

A: Domain of y=  6x-125-x2

Q: DUE NOW. Please answer all the script part as the same as the process on what's in the sample…

A: The objectives are: Now we have to make a script as the following;

Q: If it is, state the domain and range of the function. (Enter your answers using interval notation.…

A: state the domain and range of the function.

Q: lim x→0 (sin3x sin5x/x2)

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Q: Find all minors and cofactors of the matrix. -1 2 3 6 45 3-1 2 (a) Find all minors of the matrix M…

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Q: 22 e 1-§ 2(2-21) ² c: |z_11 = 1/2, 17-11-2

A: The given integral I=∮Ce2zzz-2i2   ;  C=z-i=12, z-i=2 Cauchy integral formula:   suppose that C is…

Q: Show that the equation represents a circle by rewriting it in standard form. x² + y² + x = 0 Find…

A: Please see the below picture for detailed solution.

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Q: 1. If y=tanx, prove that y=2(y² +1)(3y² +1).

A: y =tanx y'''=2(y2+1)(3y2+1).

Q: Obtain the General Solution of dx + xydy = y²dx + ydy.

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Q: 1. Find the general solution to the differential equation x' = t cos(t²). Find the particular…

A: The given differential equation x'=t cost2use the integral formulas, ∫dx=x+C∫cos x dx=sin x+C

Q: The energy expenditure (in kcal/km) for animals swimming at the surface of the water is given by y =…

A: The energy expenditure (in kcal/km) for animals swimming at the surface of the water is given by…

Q: 1. Evaluate the following integrals. d. f(r+1)³dr C. 3/4 fese xcot xdx /4

A: This is a problem related to integration. Based on the general formula and concept we will answer…