2) (x² – 4x – 45) + (x – 9)

Q: fb) 2x -3 < 4x +3 < 2x+5

A: Here we have to give the answer in interval notation. b) 2x-3≤4x+3≤2x+5

Q: if y3-3ax2+x3=0,then prove that y2+ 2a2x2y-5=0

A: Let dy/dx= y1 and d2/dx2=y2 And We will use the product rule of differentiation.

Q: Let h(x)=(x2−3x+2)/(−x2−4x+4,) what is h′(−5)? Do not include "h′(−5)=" in your answer. For…

A:

Q: Show that (x- 3) is a factor of 2.x3 - 2x2 - 17x + 15. Hence express 2x³ – 2.x² – 17x + 15 in the…

A:

Q: )х, х(0) 5 8 -1 -2 X(0) = X' = %3D X(t) = || %3D

A: To find: The value of x(t) Given information: x'=8-156xand the initial condition is x(0)=-26.…

Q: x2-2x х3 - 3х2 A - In Ix-3x² | + C C In Ix - 3x2 |+C BIn Ix - 3x2 I + C D In I x 3x² | + C A B.

A:

Q: - (10, 7); 5x-6y = 18 m- %3D とーX5=h 5x+16 (01-x)3こレス G

A:

Q: 1. 05x<5 2k ī (x) if (I - x) if sxsI 2 2kx < 1 2

A:

Q: xx+24=5x² fpyonbouy of anyos

A: We have xx+24≤5x2 Consider:…

Q: Differentiate all three problems

A: Given functions are

Q: Find the 5th term in the expansion of x3 7 2y2) x2

A: The expression is  x3-2y2x27

Q: In(x-1) 33 Differentiate with respect to x. 2x + 3

A:

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

A:

Q: 14) x² + y² - 4x + 24y + 144 = 0 16) x² + y² + 10x - 14y+ 25 = 0

A: Solution is here

Q: if y3 -3ax2 +x3 =0,then prove that y2 + 2a2 x2 y -5=0

A: Our objective is to prove y2 + 2a2 x2 y -5=0 if  y3 -3ax2 +x3 =0. But note that when a=0 and x, y=3,…

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: x-3x-7 1. C(x+1)*| (2x+3) 6. 3 - In (2x+3)(x+1)** x+1

A:

Q: Find the 4 - x' -x²(4 – x²) = 2 i5 (4 - x*) + C 3 x²(4 – x²) 5 3 15

A: Please see the solutions below.

Q: 9. Find the general solutions of X' = AX with A =

A:

Q: Prove x²(x-y)² =x² -y²

A: Substitute x=y in the given equation Then x2(x-y)2=0 ....... (1) and x2-y2=0 ....... (2)

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: 1. What is KL? %23 3x X +6 K

A: Here we have to find the value of KL from the given triangle.

Q: Simplify the following:

A: Given

Q: %3D 2x +30 = -4(5x-2); Prove: x= -1

A:

Q: 17. Find the discriminant of 8x -x +7= 0.

A: topic - discriminanat

Q: The 4th term in the expansion of (2x -3x 10 is 10 C4 (2a) (-3x)³ O 10 C4 (2a2) (-32)4 10 C (2)…

A:

Q: 15 Find the domain of y = 4Vx-8. 1 x 2 8. O x2 -8 O x28 Ox > -8

A: The given function y=4x-8

Q: if y3 -3ax2 +x3 =0,then prove that y2 + 2a2 x2 y-5=0

A:

Q: 4. P(x) =-x+ 9x 5. P(x) = x3 - 3x2-x+3 6. P(x) = x3 -2x2-9x+18

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: et) of a ball thrown by a child is 1 -x² + 6x + 3 14 -

A:

Q: 3. 4x – 2(x + 1) = -76 abnoa %3D

A: This is the linear equation in one variable  and can be solved easily.   4x - 2(x+1) = -76  4x - 2x…

Q: Q4 Find x for all of : 2- y = 3 x(x-2) x+1 1- y = xvInx

A:

Q: What is the coefficient of the term containing x^2*y^3 in the expansion of (2x-3y)^5?

A: In order to find the coefficient use binomial theorem, which is given below.

Q: Express as a polynomial. (2u +3)(u - 4) ( 4u+u ) 2

A: Given: y=22u+3u-44u+u For expressing given expression as a polynomial, we simplify given expression…

Q: Investigate the based on linearization 3 x = x₁ - x₁²³²+x₂z xr 394 - 292 6 Ac

A: This is a question of equilibrium and stability.

Q: 5-29-3y=1-x

A:

Q: y3-3ax2+x3=0,then

A: Given:  y^3 - 3ax^2 + x^3 = 0

Q: 23) Expand: 2r(x² +1)-(x² + 5x - x - A) x² - x² - 3x - 7 B) x* + 2x² - 3x -7 C) x² +x² - 3x +7 D) x*…

A: The given expression is2xx2+1-x3+5x-x4-7 expand the given expression and then simplify to obtain the…

Q: -2x xp- (1-x)' 7. Evaluate A. +6x-n(1-x)+-(1-x)* +C C. '+6x + n(1-x)' + (1-x)*+c D. x+6x + In(1-x)"…

A:

Q: 1. Find the first-order derives: III. y = (2x* – 5)(3x5 + 12) IV. V4x? + 7+ 5-x° + 15x – 30 5x+ 4x3

A:

Q: (ii) Hence, evaluate 37x² – 17x + 38 J, (x + 6)(x – 1)²"

A:

Q: 1. What is the coefficient of x²y5 in (2x – 3y)7?

A:

Q: perform the long division.

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

Q: ) ŷ+ 2ỳ – 3y = 3e¬* X- -

A: Here is a step by step solution of the given differential equation.

Q: What is the coefficient of the term containing x^2y in the expansion of (4x+y)^3?

A:

Q: 3 N(x) = - 0.25x" + 22x° - 432x + 79,000 4 2 %3D

A:

Q: 3.) Find the der ivative of cosCx) (5x+) 니 (5x+1)

A: Given :           cosx1x25x+14

Q: 1. Show that x + 4 is a factor of x* – x3 + 3x² – 3x + 356. -

A: