85. f(x) = &r* – 2x² + 5x – 1; [0, 1 ] 86. f(x) = x* + &r – x² + 2; [-1, 0] A 87. f(x) = 2x³ + 6x? – &x + 2; [-5, –4] 88. f(x) = 3x – 10x + 9; [-3, –2] %3D 89. f(x) = x – xrt + 7.x – 7x2 – 18r + 18; [1.4, 1.5] 90. f(x) = x – 3x* – 2r³ + 6x² + x + 2; [1.7, 1.8]

Q: h(x)={3x+2 for x>0} h(x)={5x-1for x<0} h(8)=?

A:

Q: 7 --y2 Then 2 5 Q2: If z = –x² az + 5x ду az 7y ||

A:

Q: What happens to the values of h(x)=(x2 +2x-15)/(x2 -9) as x- > 3?

A: Our objective is to find the limit

Q: 9. Integral (2x-5) ai x² = 5x + 3 -

A:

Q: Show that the equation x-4y+7z=14 , 3x+8y-2z=12 , 7x-8y+26z=5 are not consistent

A: Show that the equation x-4y+7z=14 , 3x+8y-2z=12 , 7x-8y+26z=5 are not consistent  We use Cramer's…

Q: Max z = 5x, + 6x2 x1 + x2 S 5 ( Machine A) 4X1 +7X2 S 28 (Machine B) s. to X4,X2 INTEGER

A: Consider the given system of equations.

Q: What is the smallest positive integer value of x where the exponential fuction defined by the table…

A: Consider the table  X -3 -2 -1 Y 181 127 19 Let the general exponential function  y=abx We…

Q: Complete the table.

A: Given;

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

A:

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

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

Q: In Exercises 1–4, use graphing software to determine which of the given viewing windows displays the…

A: 1) This function fits most appropriately in [-5,5] by [-25,15]…

Q: [2x+1 f(x)={-2x+3 if x21 if x 2 3. f(-4) = f(8) = f(2) = X-1 if x4 f(-1) = f(-4) = f (5) =

A: (?)  f(-2) =2x+1 (x&lt;1)          = 2(-2) +1         =-3 f(6) =-2x+3 (x&gt;=1)         = -2(6) +3…

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

A:

Q: How can I calculate using Excel?   Suppose X~N(193,7), and Z~N(0,1). Then x = 204, is equivalent…

A:

Q: 3 If f (2) = -5 and f'(2) = – find [f-1]'(-5). %3D 4

A: topic - derivative of inverse function

Q: f(x)=14(x-3)+1 g(x)=7(x+ 2)+1 f(x)=6(x+2)-3 g(x)=8(x- 3)+6 f(x)=3(x-1)+2/3 g(x)=3(3-x)-2/3 f(x)=-/,…

A: a) the function  f(x)=14(x-3)+1 is shifted 5 units left and is shrunk vertically by 12 to get the…

Q: Ex Fezy)= 3x+ 8x fom <2) F(Zx).2 8+ x9 =

A: Given: f2x=3x2+8x For finding value of f'2, we differentiate given function with respect to x

Q: 1. f(x) = 3x² – 12x + 1 at the point (0, 1) 2. f(x) = x² + 1 at the point (0,1) 3. f(x) = x² – 2x +…

A:

Q: 1- x**! 1- x n+1 6 (x # 1) r=0

A:

Q: 4. Prove that (2x+3y)(4x²−6xy+9y²)+(2x−3y)(4x²+6xy+9y²) is 16x³ equivalent to 1 for x = 0.

A:

Q: 2. If x =-1 and z = 2y = -3x, find the value of 3xy-z 1+3x²z

A:

Q: Find the general solution of the fifth-order DEQ. 2x(5) – 7x(4) + 12x" + 8x" = 0

A:

Q: (3x +2 ifx 3 3. f(x) = x/|x| with a = 0.

A:

Q: 1 Find f'(-1) if Ax) = (2x + 1)², O-4 04 O-1

A: The given function,       fx=12x+12

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: 1. f(x) = 3x + 4, at x = 4 2. f(x) = 3x2 – x + 2 at x = 2 3. f(x) = ***, at x = 1 x+3 4. f(x) = X-1…

A: As per guidelines we can solve only three subparts at a time, so the first  three subparts can be…

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

A:

Q: In Problems 37–42, analyze each rational function

A: Hey, Thanks for the question. Since you have posted multiple questions. As per our guidelines, we…

Q: * IN 13. g(x) ={Vx+6, -5 sxS1 %3D -+8, x>10

A:

Q: evaluate x2 -(xy-y) for x satisfying x/9 -7 = x/2 and satisfying -3y -5=4y+23

A: See the details solution in below

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: The sum of all the critical numbers of the function f(x) = x4 - 10x2 is what

A: Given function is fx=x4-10x2 To find the critical points we differentiate the given function with…

Q: 1. What are the critical values of f(x) = -8x-x² +

A: On solving this we will get

Q: 2x – 3 if x >0 3x – 1 if x 3], [ƒ 9]. Q. Given f(x) = -- - |

A:

Q: 1) x² + 9y² + 9z² = 81 2) 9x2 + y² + 9z² = 81 3) 9æ? + 9y? + z² = 81

A: Given equations 1)x^2+9y^2+9z^2=81 2)9x^2+y^2+9z^2=81 3)9x^2+9y^2+z^2=81

Q: 1. Find XY when X(-7, 10) and Y(3, 4).

A: GivenX≡-7, 10Y≡3, 4To find XY

Q: Find all the critical points of the function f(x) = x^3 - 2x^2 - 15x + 2 on the interval [-1, 3]

A: Let's find.

Q: 3 13. Evaluate x2 Vx + 2 da -1

A:

Q: Vx+5-5 1. f(x): at (-5,-1) х-20 V16-x2 2. f(x) = at (-3,-1) х+1 V16-x3 3. f(x) = at (-3,-1) х+1 х-16…

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

Q: Salx) = 212-4.87x+ 3,2x² -0,53x3 S(K) =FSzcx) = -30,2 +27 53 x- , 6x+ 0,69X, S(x) = 2イ- 40,争K+…

A:

Q: (i) Show that the line y = 2x – 2 always intersects the curve y = nx² + 6x -n at two distinct points…

A: To solve the problems

Q: r(x)=x-2/x^2+2x+1 As x right arrow - infinity, r(x) right arrow As x right arrow infinity, r(x)…

A: Taking highest factor common from denominator and numerator evaluate the following limit

Q: Find the critical numbers of the function F(x) = x/5(x - 9)²

A:

Q: y 10- - 10 -5 5 10 -5 |-10| f(x) = -2x + 1 f(x) 3D —2x2 - 9х 1 + 5x2 4 f(x) f(x) = x4 + 2x3 %3D f(x)…

A: Given

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

A:

Q: Suppose that the revenue (in dollars) from the sale of a product is given by R = 60x + 0.5x2 −…

A:

Q: Prove that y = e-3* (Acos 5x - Bsin 5x) + Cx; A, B and C are arbitrary constants will equalto y"(17x…

A: Given,            y =e-3xAcos 5x -Bsin 5x + Cx

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

A:

Q: Prove Formulas (1) - (9) Differentiate y = √3x². - 1 √5x = = (3x²)¹/³ – (5x)−¹/2

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.