23. f(x) = x - 4x² + 4x – 16; zero: 2i 24. g(x) = x + 3x² + 25x + 75; zero: - 5i 25. /(х) 3 2x + 5x3 + 5x? + 20х - 12; zero:-21 26. h(x) = 3x + 5.x + 25x + 45x – 18; zero: 3i 27. h(x) = x* – 9x + 21x? + 21x – 130; zero: 3 - 2i 28. f(x) = x* – 7x + 14x? – 38x – 60; zero:1 + 3i 29. h(x) = 3x + 2x* + 15x + 10x? – 528x – 352; zero: -4i 30. g(x) = 2x – 3x* – 5x - 15x – 207x + 108; zero: 3i

Q: 21. Кх, у) 2х -у ys 4x + 6 5 * 4y s 7 2r + ys7 бу X-6y z 10

A: Step-1 f(x,y) = 2x-y            y ≤ 4x+6 ⇒ 4x-y ≥-6            x+4y ≤ 7           2x+y ≤ 7…

Q: 1.What is the third derivative of y = 2x5 – 2x4 + 5x3 + 6? 2x – 2x + 5x? 40a O A. " = - O B. " 24x +…

A:

Q: 2r+1 h (x) = 4x-I o h' (x) = (x) 14 4r+2 o h' (x) = x+2 4x-I o h' (x) = x+1 4x-2 O h' (x) = x+4 2r-1

A:

Q: 1 If y = V1-x then y' = 2/1-x

A:

Q: 4.3 Verify that for f(x, y) = 4x°y$ - 9x*y³. дх ду ду дх df

A: Explanation of the answer is as follows

Q: Max Z = x1 + 3xz+ 4x3+ 5 S.t. 4x1+ 3xz+ 2x3 +x4<10 X1 – X3+2x4= 2 Xj+Xz+X3+X21 X1, X2 ,X3, X2 0

A: Phase 1: The Given problem is converted to canonical form by adding slack, surplus and artificial…

Q: Solve using MUC. y" +4y=3sin2x 3+3+5+ y = C₁ cos2x+ C₂sin2x - -Xcos2x 4 y=C₁ cos2x + C₂sin2x +…

A:

Q: 3. zy if y + x² – 3xz = 222

A:

Q: If y 3 , then dx 5x2-3 10r2 3V/5x2-34 35x2- 3) 5x2-3 10x 3 3(5x2-3)2 10r 3 35x2-3)

A: Find the derivative of the given function.

Q: I have equation 3x(y-x)=0. Is it true that x here is equal to 0 and y is equal to x? How can I show…

A: To check:  Whether x here is equal to 0 and y is equal to x. Given information: The equation is…

Q: 11. In the function y = 3x2 - 3, y is replaced by y and then y is replaced with y +2 ; the new…

A: Given:     Function y=3x2-3   Here y is replaced by 12y       substitute y=12y      12y=3x2-3…

Q: Q1. Find the general solution for the non-homogen 1st OLDE using undetermined coefficient method.…

A: Given Y'=-3-456Y+5-6ex

Q: 2y = xx -1-In(x+vx² -1)+c

A: Given the family of curves is 2y=xx2-1-lnx+x2-1+c. Find the orthogonal path of the above curve.

Q: If x &lt; 0 and y &gt; 0, determine the sign of the realnumber. xy2

A: Given that, x &lt; 0 that is x is negative. y &gt; 0 that is y is positive.

Q: Max Z = 4X1+10X2 %3D s.t. 5X1+4X2 < 200 X1+2X2 s 50 X1+X2 s 20 X1, X2 0

A:

Q: 3. Eliminate the arbitrary constants by isolation of constant y = x + C₁e* + С₂e-²x

A: In this question,  will form the differential equation by eliminating the arbitrary constants from…

Q: 8. 8 If , f(x-c)dx = 5 where c is a constant, then f (x)dx= -c

A:

Q: Suppose that it costs c(x) = x3 - 6x2 + 15x dollars to produce x radiators when 8 to 30 radiators…

A: The cost of producing x radiators is c(x)=x3-6x2+15x The revenue from selling x radiators is…

Q: if x 0 -

A:

Q: Find the particular solution for ysqrt(1-x^2) * y'-xsqrt(1-y^2)=0  when y(0)=1

A:

Q: 1. Differentiate: y = 3(x²-1) A. (In 3) 3(x²-1) B. (2x) 3(x²-1) C. 2x (In 3) (3**-1) D. x²(In…

A:

Q: tion: y" – 3y' = e3 – 18x. - -

A:

Q: - -X-4-z=4 2X- 2X+G-3z=- X 0-42=3

A:

Q: 3 If y=/xL5x²_36 x²_3x²+Yx-12 (3 14 shuw that dy 24 dx4

A: firstly simplifying these expressions then , use the concept of differentiation

Q: 2-If x(z) = 2z + 5z¬1 + 6z-3 – z* find x(n). %3D

A: Consider the given equation:   xz=2z+5z-1+6z-3-z4

Q: Solve for x:  x + 5 = 9 8 +x = 1 7 + x = 16 x + 3 = 8 x - 3 = 4 5x = 20 7a = 42 3x = 12 16 - 3x = 4

A:

Q: I need #71 answered Add rational expressions w different denominators

A: The expression is given by,

Q: 32. In y = 2y² - x; (2, 1)

A:

Q: 6 6 If f(x) dx = 33 and g(x) dx = 14, find | [3f(x) + 4g(x)] dx.

A: We know that, for a constant k, ∫k·fxdx=k∫fxdx        ⋯⋯1 We have, ∫06fxdx=33 and ∫06gxdx=14

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

A:

Q: 37) Find YX 38) Find mX 22x+ 68x-I 23x-1 21x+1 39) Find mzF 40) Find mzD D. D 23x 1 20x-5 18x +7…

A: Since you have posted multiple questions we will solve the first question for you. To get the other…

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

A:

Q: Solve cotx+ 3-0 on the interval x e [0,21]. O a) 6. 11x X3D O b) x-x-5 X = Od4- c) X = 11T 元 d x=…

A:

Q: Differentiate: y = x2 + 3x – 1 x2+1 A. x2+3x-1 -(x²+1) В. (x²+3x-1)2 -x2+1 x2-1 С. (x²+3x-1)² D.…

A:

Q: トン メ+??-9 zy +3=8 4X -3y =-2 Ans / X=1 ウ-2?こ4

A:

Q: (-x+2, if – 1 sx<2 V3x – 6, if 2 < x< 5 -2x, if x <- 2 lx² – 1 , if x <- 2 1. f(x) = 2. f(x) = 3.…

A:

Q: Solve for x 4x^(2/3) +5x^(1/3) -6=0

A:

Q: Differentiate y = x'arctan 2x 2x A. 1+4x2 - 2x arctan 2x 2x3 В. + 2x arctan 2x 1+4x2 C. 1+4x2 + 2x…

A:

Q: max x+ y2 + z² subject to x2 + y² + 4z² == 1 and x+3y + 2z = 0

A:

Q: 2). when 2x°-3x+Kx-1 is divided by X-1 the remainder is 2, find Ke

A: value of k is 4  see below the calculation and answer

Q: Solve for x in  2x^2 − 7x − 4 = (2x+1)(x−4) = 0

A: Here given 2x²-7x-4=(2x+1)(x-4) 2x²-7x-4 can be factorised as 2x²-7x-4=(2x+1)(x-4)   For…

Q: 3 18. z= 19. y= Vx(x-1) 3x-1 20. y= 2x+1

A:

Q: 3. 1 S [(2x - 4y)dydx 31 1 -1

A:

Q: 2. 2r +z +w 5 y -w = -1 3x -z - w = 0 4r +y + 2z +w = 9

A:

Q: - 7x+ 3y+4z = -6 -23x+23y+kz =-31 -4x+ 5y+7z= -6 we must have, k +

A: We have to find the conditional value of k such that the following system is consistent.…

Q: /25-22-y2 zVx² + y? + z² dz dy dr

A:

Q: 6. Find all real solutions to V3x +1+ V9x + 4 = 11. Show your work!

A:

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

A:

Q: 2. Solve for x O (x – 4)(x + 7) =0 d) x - 12 = 37 g) x = 10x b) 2x(x + 8) = 0 e 9x = 25 c) x = 4 4x…

A: To determine:Solution of the following equations 1. 4x2=4 2. x2-4=32

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.