Verify that f and g are inverse functions algebraically. X-6 f(x) = g(x) = 3x + 6 3 f(g(x)) = g(f(x)) = g || 11 I

Q: Find T(t) and N(t) at the given point. ㅠ r(t) = 8 cos(t)i +8 sin(t)j + tk; t = 2

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Q: (x+y=z=2 A matrix form of the system 2x + 3z = 2 is x-z=2

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Q: Suppose that the function h is defined, for all real numbers, as follows. -3 if x=0 h(x)=< -4 if x=0…

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Q: is the area (in sq. m.) of a rectangular volleyball court that measures 18m by

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Q: 1. Translate the statement "the sum of two numbers is at most 30" A. x+y > 30 B. x + y 230 C. x+y<…

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Q: Number of Voters 16 11 12 4 1st Choice A B D A 2nd Choice D D B B 3rd Choice B A C C 4th Choice C C…

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Q: Problems 1-8 Solve the logarithmic equatio exact solution and the approximate solution, 1. log7 x =…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Write the first six terms of the arithmetic sequence. 5 1 d= a₁ = 2 (Type an integer or simplified…

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A: Radioactive substances : radioactive substances are made up of naturally decaying atoms. They are…

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Q: Determine the slope, if it exists, of the graph of the given linear equation. 1 f(x) = -3x+5 1 A. m…

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A: Here we have to find the answer upto 3 decimal places.

Q: Consider the following election.  This is not the same as the table above. Number of Voters 19 11…

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Q: This next example is long but will illustrate the key difference between EXPONENTIAL FUNCTIONS and…

A: This question can be solved using the concept of linear growth and compounded growth.

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A: Check the situation and answer it

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Q: Find the sum of the first 7 terms of the arithmetic series shown. (-17) + (-22) + (−27) + (−32)+...,…

A: We have to find sum of first 7 terms of given arithmetic series.

Q: 3. Given that AABC~ ARST the diagram below, find each of the following. Show all work A R 13 S T 5 B…

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Q: 1. For each problem, identify the type of function you are dealing with (linear, quadratic, or…

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Q: Factor the difference of squares. 4 9pm - 9pn* OA. 9p (m²-n²)2 OB. 9(m²p+n²)(mp + n)(mp − n) OC.…

A: Given:       9pm4-9pn4

Q: x B Assignment List x i Assignment Player 8 Assignment Player Classes…

A: We need to find equation of the line.

Q: 3. Solve the linear system below a + 2b c +4d = 6 -a-4b +2c + 2d = 4 2a + 2b c + 2d = 4 a + 2b + c =…

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Q: 2 Let s(x) = x ² − 8x + 4 and t(x) = - 2x - 4. Part A: Find s(x) + t(x). Part B: Find s(x) - t(x).

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Q: This furniture business makes tables and chairs. In each chair, It takes three hours to make the…

A: We need to maximize the profit.

Q: Write the first six terms of the arithmetic sequence with the given first term, a₁, and common…

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Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural…

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Q: 1. Given the following matrices: [1 1 0 11 [1 1 2 1 2 1 0 1 0 1 4. a. [(AC) BT] - DT. b. [(BD) TCT]A…

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Q: Solve for the following problems and show your solutions:

A: answer is in next step

Q: Find the function value, if possible. (If an answer is undefined, enter UNDEFINED.) f(x) = √2x + 1,…

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Q: Let T: P₂ (R) → M2x2 (R) be defined by T(P) = p'(0) p'(1) Find the matrix associated to T with…

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Q: (0.255 20.065025 Coro 650 + 1,02x + 4x) x = 4x³ + + 2x)² x = 8.1 x 10-12 + 2x2x0-255 + + 2x2x0-255 +…

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Q: Julian and Skyler are performing a thought experiment. They are trying to figure out how long it…

A: answer is in next step

Q: For the piecewise function, find the specified function value. 2x + 1, for x 7 f(-5) A. 11 B. 45…

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Q: Plot points between and beyond each​ x-intercept and vertical asymptote. Find the value of the…

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Q: √√27 m √63 m 48 m

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Q: Verify that (a) AI=A (b) IA=A A 6 [Vo$₂2] 7 Part: 0 / 3 Part 1 of 3 Write the correct identity…

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Q: 2:1) Logs x=1-годы (х-4)

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Q: Among all rectangles that have a perimeter of 170, find the dimensions of the ones whose are is the…

A: To be found: The dimensions of the ones whose are is the largest, Among all rectangles that have a…

Q: A wooden artifact from an ancient tomb contains 20 percent of the carbon-14 that is present in…

A: I have stated the used formula in the solution.

Q: Q1): The concentration of salt is given as a function of time by: -= 37.5-3.5x at the initial time…

A: Let's find.

Q: Step 1: Step 2: Step 3: Step 4: 50 40x + 9x - 7=0 50+ (-40x + 9x) - 7 = 0 50+ (-40 + 9)x - 7 = 0 50+…

A: Now, we adding the additive inverse of 43. So,                 -31x+43-43=0-43⇒-31x=-43⇒x=4331

Q: Diagonalize -2 A = 3 -3 -2 2-2 -2 i.e., find an invertible P and diagonal D such that A = PDP-¹,…

A: Solution is given below:

Q: A hyperbola has vertices (±5, 0) and one focus (6, 0). What is the standard-form equation of the…

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Q: Solve the following system of equations 10x^2+7x-y=15 7x^2-2x-y=3

A: The given system of equation is: 10x2+7x-y=15...(1)7x2-2x-y=3...(2)

Q: Use the subst ition =x+y=0 4x-3y=0 By Your answer is

A: -x+y=0  -----&gt;14x-3y=0  -----&gt;2from equation1-x+y=0⇒y=xsubstitute y=x in equation 24y-3y=0y=0