Compute each of the following limits. Use exact values. lim y⇒8- lim y+8+ lim y 8 7y - 56 8-y 7y - 56 8 Y 7y - 56 8-y

Q: Given f(x) = x-² is graphed below. Find the average value of this function on the interval [1,4].…

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Q: Use the graph to determine a. the function's domain; b. the function's range; c. the x-intercepts,…

A: we are given a graph.'Note that as per the rules, we are supposed to answer the first question, and…

Q: Consider the following LP CPF 1 Minimise subject to CPF 2 Determine the feasible corner point…

A: The given Linear Programming problem is we use the graphical method to find the feasible corner…

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A: If a vertical line intersects the graph more than once then the curve is not a function

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Q: At noon a car starts from rest at point A and proceeds at constant acceleration along a straight…

A: we use the formula

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A: The equation of the parabola in vertex form:Where vertex is at

Q: What is an Algebrafying elementary school math problem/task/activity.

A: What is an Algebrafying elementary school math problem/task/activity.

Q: 4 5 3 -5 18 34 2 -4 14 -2 2-6-20 (a) Give a basis for the linear transformation's range, entering…

A: The matrix has one pivot entry at the first and second columns.So the basis for the range is the…

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A: To find:-(a) (b) (c)

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A: Suppose that  is a function that takes a real number  and the following three steps in the order,(1)…

Q: Find the solution set of the system of linear equations represented by the augmented matrix. (If…

A: 1. Start with the fourth row: 0x1 + 0x2 + 0x3 + 1x4 = 4This implies:   x4 = 42. Move to the…

Q: For Exercises 1-5, draw a line from the inequality in Column A to the matching verbal expression in…

A: To draw a line from inequality in Column A to the matching verbal expression in Column B.Note: Since…

Q: 2. Determine the point which divides the segment from (-5,-4) to (6,-2)in the ratio 2:3. 3. The line…

A: Note:As per our guidelines we are supposed to answer only one question If there are multiple…

Q: Find f(1) for the piece-wise function. f(x): = x-2 if x<3 x-1 if x ≥ 3 f(1) = [? ]

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Q: Find the equation (in terms of x) of the line through the points (-4,1) and (4,2) Y

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Q: Theorem: For any two real numbers, x and y, if x and y are both rational then x + y is also rational…

A: Direct proof is one of the most familiar forms of proof. We use it to prove statements of the form…

Q: Find the determinant of the matrix 12 0 0 -1 0 1 0 -1 0 M = 0 -1 0 0 0 0 0 -1 0 3 -1 det (M)= 0 2 -1…

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Q: 99 q + 99 9 + 99 9

A: we are to solve the expression

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Q: g(x)=x³e³x

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Q: 0.1 EXERCISES Calculate each expression in Exercises 1-24, giving the answer as a whole number or a…

A: As per the Bartleby guidelines, answer only first question as the other questions are not the sub…

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Q: Using scientific notation complete the following calculations (1,000)(10,000)=

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Q: The mean distance of the earth from the sun is 93 million miles. The distance varies by 1.6. million…

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Q: a) 2y2/3-1/2 - 4y5/6 3/2 where A = = A(1 – B) √z and B =

A: 2y2/3 z-1/2 - 4y5/6 z3/2 =A( 1-B)/sqrt(z)Find A and B.

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Q: The equation for an exponential function is h(x) =3 · 4x + 3. Graph the function.

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Q: how many ways can a teacher give four different prizes to four of her 28 students

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Q: b) 33.xª-b+c where A = c) " +3x²+c = where A = and C= (3+x)¹¹/2 - 3(3+x) ⁹/² = (3+x)⁹/2. A, where A…

A: To find the unknown quantity.

Q: 10. Test for the convergence of the series X Answer: Convergent. 1 + x - x² x3 + 1 + x² 1 + x³ - ***…

A: Q 10) Given series is

Q: Graph the parabola. y=(x-3)²-2 Plot five points on the parabola: the vertex, two points to the left…

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Q: 34. Given the function k(t) = 2t - 1: Evaluate k(2). Solve k(t) = 7. 35. Given the function f(x) = 8…

A: To find value of function, plug in the value asked in both side

Q: xpress the vector : = H as a linear combination of = [2] and [1] y =

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Q: 5. Solve the equation 3 cos x-5 sin x, for x in the interval 0≤x≤ 360, giving your answers to the…

A: Divide both sides by

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A: we have given equation

Q: Write an equation for a line perpendicular to y = 2x + 1 and passing through the point (-4,0) y =

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Q: Graph the parabola. y=(x-4)² +2 Plot five points on the parabola: the vertex, two points to the left…

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Q: 1. Prove that each of the following is an identity. a) cot x{tan’x−sin’x) = sinx b) tan xsản x tan…

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Q: The times per week a student uses a lab computer are normally distributed, with a mean of 6.5 hours…

A: We need to find probability.

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Q: Consider the following linear transformation. T: P₂ → R³ defined by T(a + bx + cx²) Find the nullity…

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Q: 2. Let A, B, C and D be consecutive points of a parallelogram. Point E divides the diagonal AC so…

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Q: What is the answer to this problem? What is the smallest sum of three different prime numbers, each…

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Q: Recall that the ancient Egyptian system described in this section was simple grouping, used a base…

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Q: Product of 224.08 and 220.8. Express your answer using the proper number of significant figures. 17…

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Q: Determine whether the following relation represents y as a function of x. O function O not a…

A: When there is only one output for each input, that is called a function.

Q: 6. Cube Root Function thumbnail sketch 3√X + Domain: y-intercept Range:

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