27. Factor f(x) = 15x – 67x + 26x + 8, given that is a zero of f(x).

Q: Find the complete solution of (x + 4y³dy – ydx = 0)

A:

Q: Find the value of the integral x²dx (x² + 9)(x² + 4)² 0-

A: The integral can be solved by first simplifying the integrand by partial fraction decomposition.…

Q: Suppose z is implicitly given as a function of x and y, according to The equation: y−zx3=1−yz2 The…

A: Suppose z is implicitly given as a function of x and y, according to The equation: y−zx3=1−yz2 The…

Q: Show that Y1 = X1/X2 and Y2 = X1 + X2 are independent and that Y2 isχ2(r1 + r2).

A: Given Y1=X1X2Y2=X1+X2

Q: Find the extrema of f (x) = 2x3 − 15x2 + 24x + 7 on [0, 6].

A:

Q: 10. If f (x) = 2x(1+In(2x)), and f'(c) = 6, find c.

A: Given function is fx=2x1+ln2x. Product rule of differentiation states that: ddxuv=vddxu+uddxv…

Q: . Find a general solution for y" + 4y = x² by method of undetermined coefficient

A:

Q: 8) Is (x+3) a factor of x4 + 2x2 + 17x – 48 Drop coefficients onto top line

A: Given,  x4+2x2+17x-48

Q: If f(x, y) = 2x+6 (2a-6y) of then is given by:

A: In the above question we will take y as constant since we have to partially differentiate it with…

Q: Solve this problem using the indeterminate coefficients method: y" +2y' + y = 2cos(2x)+3x+2+3e^x

A: Given: y"+2y'+y=2cos(2x)+3x+2+3ex

Q: Suppose that x and y are real numbers such that y is 6 greater than x. What is the smallest possible…

A:

Q: 35. By completing the square in the quadratic x² + x + 1 and making a substitution, evaluate dx x² +…

A:

Q: If y= (5x+1) (2x-1-1n7), then y’ will be (5X+1) 2/X2 +1/7

A: Given that  If y= (5x+1) (2x-1-1n7), then y’ will be (5X+1) 2/X2 +1/7

Q: If h(z) = 2x2 - 3r +1, what is h(-2)?

A:

Q: If g(x)= 5X3+3x2+3x+5, what is (g-1)'(z) when z=5?

A:

Q: Let h(x) z² –3z+2 -z² –4x+4' what is h' (-5)?

A:

Q: iven by 5x3 at x = 1 is: %3D

A:

Q: find the interverse of the fuction f (x)= 2x + 3/x-4

A:

Q: Suppose z is implicitly defined as a function of x, y, by means of the equation: z4+8zx=3x2+12y2…

A:

Q: Q 4. (a). Show that fog = 4x² – 1, if ƒ(x) = 4x – 5 and g(x) = x² +1.

A: a. Given: The functions fx=4x-5 and gx=x2+1, To find: f∘g=4x2-1, Formula used: (f∘g)(x)=f(gx).

Q: 16) If x = 5y-3 and y = -2a3, express x in terms of a.

A:

Q: 3. Find the coefficient of xy' in (2x + 3y)°.

A: The provided information is we find the coefficient of  x2y7    in (2x+3y)9 Then, (79)*(2x)2*(3y)7…

Q: If one root of f(x) = x2 − 4x + 5 is 2 + i, what else do you know?

A: f(x)=x2-4x+5                                    One root is:=…

Q: Eliminate the arbitrary constants from the following equations. x2 = axy + by

A:

Q: Suppose 3x2 – 3x + 8 - f(x) : x (x2 + 4) Then A f(x) Bx + C | x² + 4 where A = and B %3D , and C =

A:

Q: Show that the function f(x)= x^3 − 15x + 1 has three zeros in the interval [−4, 4]. Do not solve for…

A: The given function is f(x)=x3−15x+1The interval is [−4, 4].To show that f(x) has three zeros in this…

Q: What is the largest number k for which 2x + 3y = 20 and 3x + 4y = k have the same number of positive…

A: Given: 2x+3y=20...............eq(1) 3x+4y=k..................eq(2)   To find:What is the largest…

Q: if x 0 -

A:

Q: f(x) = e 6x +7 In (7x- 9)

A:

Q: Suppose we want to form an interpolant at equally spaced points xo = 0, x1 = h, and x2 = 2h of the…

A:

Q: ethod of undetermined coefficients to so y" +4y = 2x +2.

A: Given: y''+4y=2x+2

Q: 2- The homogenous diff. equation can be put in the following form: B- y' f(x)

A: Here we will find the correct option,

Q: If k(x)= 2e^2x then k''(2) is equal to

A: Given  k(x)=2e2x To find  k''(2)

Q: 32.) If f(x) = 3xr + 2 and g(x) = 2x² – 3, find 6f(-2) + 7g(1). %3D %3D -

A: We are authorized to answer one question at a time, since you have not mentioned which one you are…

Q: 13, find all the ze 12. f(x) = 3x³ + 14x² – 7x – 10 %3D -

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (b) Show that xE R, x2 - 4x + 5 > 0.

A: As this is a multiple question type, only first question is to be solved, according to the Bartleby…

Q: 6 4 Verify that for f(x, y) = 3x°y* - 4x°y°. дх ду ду дх of

A: Given problem:-

Q: 1(d) Show that x − 4 is a factor of x − 5x + 2x + 20x − 24

A:

Q: 1. Determine the length of y = 1 + 6x3/2 between 0<x<1.

A: Use formula of arc length.

Q: 2. Use a trig substitution to evaluate S dx x³√²-16' x> 4.

A:

Q: 16. Study the stability of the trivial solution of x" + 5x" + 9x' + 5x = 0.

A:

Q: 32. If WY = 15x - 2 and XZ = 9x + 10, find WY. DELL

A: Here I am solving question 1 if you want the answer of second question repost the another question…

Q: 11. If f(x) = 2x² + 7x + 3, show that ƒ(b + 2) = 2b² + 15b + 25. %3D

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Q: Suppose that the cost, in dollars, for a company to produce x pairs of a new line of jeans is C(x)…

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Q: Eliminate the arbitrary constants of: x^2=Axy+By

A:

Q: Show that x^2 + 1/x^2 is greater than or equal to 2.

A: A.M  is greater than or equal to G.M

Q: If ƒ(x) = 3ªx + 3x and f'(0) = 3( by using 2-points fomula with h=0.5), then the value of a is

A: Topic- derivatives using 2 point formula

Q: 5.SUPPOSE tu at fex)= XJgcK)· If 903)=16 and g C3)=-5.what is f'(3)?

A:

Q: If h(x) = 2x and k(x) = 2x – 4, what is h(k(10))?

A:

Q: 5. ) If 3x + 4yi = Z2, what is x + y equal to?

A: