Use the formula below to find the instantaneous rate of change of the function at the given x-value. f(x) = 3x²+ 2x at x = 3 Average and Instantaneous Rate of Change The average rate of change of a function f between x and x + his f(x +h)-f(x) h The instantaneous rate of change of a function f at the number x is f(x +h)-f(x) h lim h-0 (Difference quotient gives the average rate of change.) (Taking the limit makes it instantaneous.)

Q: Draw the graph represented by the cross- product A x B if A = {x€ Z| x? =x} B = { x€ R] − 2 < x < 3}

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Q: (4) Three firms, F₁, F2, F3 share the market for a certain commodity. F₁ has 20%, F₂ has 60% and F3…

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Q: Consider the following function. f(x, y, z) = √√x² + y² + z² Find f (x, y, z), f(x, y, z), and f₂(x,…

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Q: ​Money markets are markets for ​Foreign stocks. ​Consumer automobile loans. ​U.S. stocks.…

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Q: Q2) In each of the following cases, find the matrix A for which [v]D=A[v]B a. B={1, 2x, 4x²-1} and…

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Q: #1: Let F: R² R², G: R² R² be defined by cos(8) r sin(8) F(r, 0) G(x, y) - 2xy and let H = Go F.…

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Q: Consider the vectors ------ = Are these vectors linearly independent? Yes No If not, find a…

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Q: Compute the torsion r(t) for the same space curve c(t) = (t, 7 cost, 7 sin t).

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Q: Suppose your customers' incomes are normally distributed with a mean of $37,500 with a standard…

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Q: Let S := {1, 2} and T := {a, b, c}. (a) Determine the number of different injections from S into T.…

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Q: 12. Use Mathematical Induction to prove that if the set S has n elements, then P(S) has 2" elements.

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Q: 5. Give a direct &- proof that the function f : R → R, f(x) = x¹ is differentiable at 1.

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Q: Theorem 12.8 Let A be an n × n matrix. The following statements are equivalent. 1. The columns of…

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Q: Solve the system using elimination. x= y = 2= -6x 5x 4x -5y +3z -2y-6z +3y -4z = -45 33 37

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Q: Solve x = " 3x X 3x y = 4y + 2z = 4 Y + 2y N = 22 = 2 2=

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Q: The interval [-2,0] brackets a zero of the function f(x) = 3xsin(x) - 1. Give the value of p…

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Q: The solution of the linear system is x = Y 2x +3y x -Y 3x +2y || -Z || -3z = - 2 3 4, and z =

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Q: Let S = { /12 - 2/2 | n € N₁m = N} (considered as a subset of R). N, n m (a) Prove that sup S = 1.…

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Q: Let A = {a, b, c, d} and R = {(a, b), (b, c), (c, c), (a, a)} a. Find the transitive closure of R.…

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Q: How many ways can 3 pizza toppings be selected from a choice of 12 toppings if each topping can be…

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Q: The graph below shows the lines determined by the two equations in our system: -10 10 2,0 -10 B 18…

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Q: Evaluate the following problems. a. 2,600 [ (1.06)¹.08 - 1] 0.08

A: We know that:

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Q: Suppose a player's true batting average is Normal, with mu = .278, and standard deviation, sigma =…

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Q: PA (QV (Q)) and (P) ⇒ (QA (¬Q)). (PQ) v R and P⇒ (Q v R). (P v Q) ⇒ Rand (P⇒R) v (QR)

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Q: Let A = {0, 1,6, 8, 13} and B = {1, 6, 13}. How many sets C have the property that CCA and BCC.

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Q: Challenge 5: What numbers can be written as the sum of consecutive integers? Challenge 6: What is…

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Q: = ---- -2 8 span of v₁ and v₂? Let V₁ = and y = -5 -3 For what value(s) of h is the vector y in the

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Q: The price of cheddar cheese increased from $5.99 per pound to $7.49 per pound. What is the percent…

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Q: Given a sample with a mean of 175 and a standard deviation of 40, calculate the following…

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Q: Find the following Laplace Transform + -20 L (+ √² = ²0 ( c ² = 1 ) do) ᏧᎾ e

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Q: Assume that you are employed by a mobile phone company and you want to characterize costumers on the…

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Q: Find the first and third quartile for the quantitative data. X 1.5 2.9 5.8 6.6 12.5 17.9 22.2 25.6…

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Q: 5. Find U₁₁ A; and ₁ A; if for every positive integer i, a) A¡ = {i, i + 1, i + 2, . . .}. b) A¡ =…

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 3.16 Use variation of parameters to obtain a particular…

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Q: How many ways can 7 out of 15 patients with the same illness be randomly selected to receive an…

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Q: Let and V=M₂x2(F). W₁ = {(2) €V: a,b,cEF}. 0 { (-ai) € V: ab€ a, W₂ 1 F}. Prove that W₁ and W₂ are…

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Q: Salmone Company reported the following purchases and sales for its only product. Salmone uses a…

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Q: Find the area of the region enclosed by the curves y = 4 cos x and y = 4 cos 2x for 0 ≤x≤T. B. ! OC.…

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Q: After gold nuggets were discovered in the Sacramento Valley in 1848, many prospective gold miners…

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Q: In the complex plane C (a) Find singular points of the functions 1 • f₁(z) = z — i² • f₂(2) = √√√₂²…

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Q: Solve the system dx dt dy dt =x-2y; x(0) = −1 = 3x-4y; y(0) = 2

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Q: A block-and-tackle pulley hoist is suspended in a warehouse by ropes of lengths 2 m and 3 m. The…

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