1 6 Let f(x) and g(x) + 6. - x – 6 Then (fo g)(x) (go f)(x)

Q: 1 1 1 1 2 1 of finding the coefficients are equivalent

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Q: 7.38. Calculate the second moment of area for a 2 × 6 piece of lumber about the x-x and y-y axes, as...

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Q: theoi prove the mea theorem. 44. A baseball is hit upward and its height at time t in seconds is giv...

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Q: u = 7.1k V = 4.3i + 7k

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Q: (e) 25z = x² + 25y“; i ,b= i ,C = = %3D (f) z? – x² – y? = 1; a = i ,b = i ,C = i %3D > >

A: elliptic paraboloid x2a2+y2b2=2zc hyperboloid of two sheet z2a2-x2b2-y2c2=1

Q: Determine the open intervals on which the function is increasing and on which the function is decrea...

A: Given function f(x)=x-1x2 ⇒f(x)=xx2-1x2⇒f(x)=1x-1x2

Q: Determine whether the following functions satisfy Laplace's equation dx? 0. dy? (a) z = -x²-y + 2xy ...

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Q: ydx + (2x²y - x)dy = 0

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Q: [VALUATE THE LIMIT OF THE GIVEN FUNCTIONS: 3 x→1 TT-X² 2

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Q: Test the equation for exactness and solve the equation: (1+ y?)dx + (x²y + y)dy = 0

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Q: Problem 3: Find the functions (a) (f o g) (x), and (b) (g o f) (1) and their domains. f(x) = x- 2, g...

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Q: The characteristic roots in the differential equation (4D^4 + 4D^3 - 3D^2 - 2D + 1)y = 0 are all rea...

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Q: Apply Method of Substitution and evaluate : 678 e 144x7 dæ 3 e6x8 + C, Where C is an arbitrary const...

A: Question is solved.

Q: Ssec? [sec(4x)tan(4x) dx (p sec (5x +3) dx e) f sin 3x + 1. dx 2x +4 f)

A: We will solve the following 

Q: Vos-x 4 64 – X -dx

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Q: The graph below is the function f(x) 5+ 4 -5 -4 -3 -2 L Find lim I -1- f(x) Find lim f(x) = I-1+ Fin...

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Q: 5. limvx6 + 5x³ – x³

A: Let's find. 

Q: d the area of the surface generated by revolving the curve x =cos (2t), y = 7+ sin ( 2° - xis. ........

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Q: ABCD is a quadrilateral such that AB=b,AD = d, AC =mb +pd. Show that the area of the quadrilateral A...

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Q: Determine if the following statement is always, sometimes, or never true. Suppose that h(x) is diffe...

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Q: Prove that there is no complex number z such that 1 |z|«anda,z' = 1, where|a,| < 2. 3 r=1

A: In this question we have to prove that there is no complex number z such that z&lt;13 and ∑r=1n arzr...

Q: Determine if the given value of c is a root of the given equation X^3-3x^2+x+4; c=3

A: If c= 3 is the root of the equation the it will satisfy the equation 

Q: he charateristic roots in the differential equation (4D^4 + 4D^3 - 3D^2 - 2D + 1)y = 0 are all real....

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Q: Determine if the given value of c is a root of the given equation 4x^5+16x^4+9x^3+9x^2; c

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Q: Find the doubling time of a quantity that is increasing annually by 8% per year. Round your answer t...

A: NOTE: Refresh your page if you can't see any equations. . the exponential function is in the form of...

Q: Show by example that lim[f(x)g(x)] can exist even if lim f(x) and lim g(x) do not exist.

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Q: if r - 3 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = Z-3 li...

A: Given that       f(x) = -6/(x+3)    if x&lt;-3                2x+8       if x&gt;-3

Q: Find the Laplace transform of f (+)= 3t-e2+ S-2 S+2 d) 3 (S-2)² S-2

A: Given that        f(t)=3t-e2t Here we have to find the Laplace transform of f(t).

Q: |z2 – 36| The value of lim using a table of functional values is I- 6 O 7 -6 O 6 Does not Exit

A: This question is based on the Limits.

Q: Let A,B,C be three angles such that A = and tan B tan C = p. 4 Find the possible values of p such th...

A: Find all the possible values of p. 

Q: v(0² – 1)dv v2 +1 3. x+ S x+ 4.

A: To integrate the following,3. ∫vv2-1dvv2+14. ∫x+6dxx+22  

Q: Apply Method of Substitution and evaluate : 6x° 162x dx 8 e 3 e628 6x8 Зе + C, Where C is an arbitra...

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Q: Part 1: Identify if the following DE is Ordinary or Partial, state also its Order and Degree. No nee...

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Q: Let f(x) = e-3z* . Find f'(x). A) f'(x) = e-6z B) f'(x) = -6xe-3x² C) f'(x) = 6xe-32? D) f'(x) = 2xe...

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Q: Evaluate 1 dx. (1+x)(2+x),/x(1-x).

A: Given that: ∫011(1+x)(2+x)x(1-x)dx

Q: If one root of the equation ax +bx + c = 0 is equal to the nth power 1/n+1 1/n+1 of the other root, ...

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Q: Determine the open intervals on which the function is increasing and on which the function is decrea...

A: Let's find. 

Q: An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round ter...

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Q: Show by example that lim[f(x) +g(x)] can exist even if lim f(x) and lim g(x) do not exist.

A: Let,  f(x)=1x-c, g(x)=1c-x

Q: Solve for the particular solution of the ODE y” + 4y’ + 3y = sin(e^x) a. yp = [e^(-2x)*sin(e^x)] + [...

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Q: Apply Integration by parts and evaluate : x²e® dx 2 -x

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Q: x rational 0, x irrational. x. g(x) =

A: We have to find

Q: Use a computer algebra system to find u x v and a unit vector orthogonal to u and v. u = 7.1k v = 4....

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Q: tan x cotx dt+ 1+ ? 1 dt3D1 (1+ P)* 1/e Ve prove LHSis equal t RHS

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Q: Evaluate : | [6x-1+ 2 e2 + 4" – 9] dæ In(x)° + e2" + In(4) 9x + C, Where C is the parameter 4* O [In...

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Q: I need to make sure for the answer

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Q: Evaluate 1 dx. (1+ x)(2+x)/x(1-x)

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Q: The particular solution to the DE y" - 3y' - 4y = -8e^t ** cos2t is O a. Im { -4e^(t+i2t) / 5 + i } ...

A: The given differential equation is: y''-3y'-4y=-8et cos(2t)

Q: Apply Method of Substitution and evaluate : 6x° 192x7 dx 4 e +C, Where C is an arbitrary constant O ...

A: From the given problem: I=∫ e6x8 192x7dx....(1) Now apply the substitution method to calculate the g...

Q: DERIVE THE FF. FUNCTIONS: y.x(x-) 4x²+ 3x+2 %3D t.

A: