1. Suppose that g(x) - 2 ≤ 3(x-1)² for all x. Find lim g(x). Justify every step.

Q: IF Find А II = 2 1 0 -1 -2 3 4 -5 C = 1- 3At + 2B - AC 2-|Adj A| OR |Adj B| 325 4 3 0 -2 5 -2 4 -5 2…

A: Let's solve given matrix problem.

Q: 9 Using the xn=0. fact that Find if Solution the X, X2,... X = 0 set of the equation then S x₁ = 0,…

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Q: lowest term. Two cards are drawn in succession without replacement, in a deck of ordinary cards. If…

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Q: Using differentials, approximate the change, in terms of ?, in the total surface area of a closed…

A: We have given  radius (r)= 3units , altitude (h)= 5units ,  dr/dt= 0.2 , dh/dt= -0.1  We have to…

Q: 3. Consider the two lines: z = 1+ 2t, y=-3+4t, z=2-2t and z=2+ 4s, y = 88, 2 = -48. (a) Show that…

A: As per our guidelines we can answer only 3 subparts of the given question so kindly repost the…

Q: (6x² - y + 3)dx + (3y² - x - 2)dy = 0

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Q: 5. Find the value of k that would make the limit exist. lim f(x) 6. Find the intervals on which the…

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Q: = e Determine the numerical value of dF of the function F(x, y) -3y cos(x) given that x = 1, y =…

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Q: Problem 2: a. Find the differential equation by eliminating the arbitrary constants of the family of…

A: Use diffential concept

Q: Using differentials, approximate the change, in terms of pi, in the total surface area of a closed…

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Q: 4. Provide examples for each statement (or clearly explain why it is not possible): Is it possible…

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Q: 1. Evaluate the following and give the exact value: -π/2 сosy π-y π/6 sin(y+z) dz dx dy

A: Topic = Integration As per guidelines , At a time only one question can be answered out of different…

Q: Using differentials, approximate the change, in terms of ?, in the total surface area of a  closed…

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Q: The probability density function of the length of a hinge for fastening a door is f(x) = 1.25 for…

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Q: Problem 1: Using differentials, approximate the change, in terms of 7, in the total surface area of…

A: Use diffential concept

Q: Determine the value of k such that y=4x²-3e2x is a solution to x (1− x) y''+ (2x² - 1) y'+k(2x - 1)…

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Q: 388.636 x 10^19 simplify it according to rules of exponents; for example, use 2^2 not

A: follow the procedure given below.

Q: The equation of a rational function is given below. f(x) =   +1   Which statement describes the end…

A: Topic:- function

Q: Q15b. Define the sets A, B, C, and D as follows: A = {y ∈ Z : 2 < y ≤ 9 and y is odd}. B = {1, 4, 6}…

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Q: ƒ'(x) = lim h→0 f(x + h) − f(x) h The goal of this problem is to break down this definition into…

A: Given that f'x=limh→0fx+h-fxh

Q: Determine if the pairs of vectors below are "parallel", "orthogonal", or "neither". a = (-1, 1, -2)…

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Q: Q2/Solve = (xy + 2) with boundary condition y = 0 for x = 0 by using Euler dy dx method (8 steps).…

A: We need to apply Euler method.

Q: Eliminate the constant: y=c₁e²+c 3x ad Oy"+y'-6y=0 Oy" + 5y'+6y=0 Oy"-5y¹+6y=0 Oy"-y'-6y=0

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Q: 4. y = sin (3x) cos (2x)

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Q: (x, y, z) = 2x²y — xz² + 3y²z. Xyx

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Q: dx 3. = 8-3x; x(0) = 4 dt

A: To find out the differential equation.

Q: Given the differential equation (4x²+ y² dx+x (x−2ydy=0

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Q: 7. Do Exercise 5 by another method. 8. Do Exercise 6 by another method.

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Q: rcos y 慮 S Sỹ¯³ sin(y+z) dzdxdy

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Q: 4. Sketch a possible graph of a quadratic function which has two complex roots, a graph that opens…

A: Here, given that the quadratic function has y-intercept at (0,-2). Suppose it is a vertex of a…

Q: Given the 4x4 determinant as enumerated: Row 1 (41,25,33,-67); Row 2 (-487,21,52,20); Row 3…

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Q: Eliminate the constant: 3r y=c₁₂e²²+c₁₂e² Oy"+y'-6y=0 Oy"+ 5y¹+6y=0 Oy"-5y¹+6y=0 Oy"-y'-6y=0

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Q: Poll 3: What logarithm rule do we us A) change of base B) In(ax) = ln(a) + ln(x) C) In(x) = a ln(x)…

A: Topic = Algebra

Q: 4. Do Ex. 3 with the aid of the formula: sin y cos y = Ans. Ans. - 5. $../00 cos 20 sin 20 de. sin…

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Q: 2. Evaluate the following and give the exact value: π/2 cos y are the (sin(y + 7) dz [** dx dy

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Q: J 3x - 2 4x² + 4x + 17 dr

A: Breaking the numerator is the key here. After that, break the given function into two parts and then…

Q: Pampanga Eye or the ferris wheel in Sky Ranch, San Fernando, Pampanga is one of the main attractions…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 2) (y² co cos x - sin x) dx + (2y sin x + 2)dy = 0

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Q: Given the graph of the function f(x)= -2x+7. Which of the following transformation will produce the…

A: Given fx=-2x+7   Option 1 y-2=fx-1 Option 2 y+4=fx+2 Option 3 y-6=fx-3 Option 4 y+8=fx-4

Q: Evaluate the multiple integral [ So (1/4) y dy dr *cos(x/4) sin(x/4) Enter the numerical value…

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Q: Determine whether the following function 3 y = c₁x + c₂x³ + 2x² ex- 2x ex Lifferential equation

A: Given :   complementary solution

Q: ulate the distance between the points L=(-5, -1) and J-(2, -8) in the coordinate plan e an exact…

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Q: 1. Find the parametric equation for a line that passes through the points (1,1,1) and (2,3,2).…

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Q: Please help tell me what the derivative of the following is:  4√sin x

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Q: If the matrix A= [2 5 1;7 3 6;2 5 4], find: A' A(2,3) size(A) LA(:,2)=[] Inv(A)

A: We can solve this as follows:

Q: Using differentials, solve for the approximate change in the hypotenuse of a right triangle if the…

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Q: Let f(x) = 5x²-3x and g(x)=x²-x+5. Find (f + g)(x), († — g)(x), (fg)(x), and (f+g)(x) = (Simplify…

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Q: xy dx - (x² + 3y²) dy = 0.

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Q: 9. X x5 E

A: Answer (9) We have to solve  x2 x5 x3

Q: 8. If c and n> 0 are integers, evaluate the following limits or explain why they do not exist (DNE).…

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