Is the relation defined by the table functions of x? X y 1 -4 -4 5 2 3 LO 8 9 5 13

Q: / Suppose That The position Vector in = brî + (ct 9t²) îrok where be Vectors (₁) be constant. 9=…

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Q: t of x +2x^3/2, Find f'(16).

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Q: Given f(x) = x²-3x+2 x+6 which of the following statements are true? Select the correct answer…

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Q: Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an…

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Q: According to Ohm's Law, current I (in amps), voltage V (in volts), and resistance R (in ohms) in a…

A: Your Answer is incorrect because you substitute wrong value in your answer box . It's -25 not -25 .…

Q: lim h0 x + h - Vx h

A: The answer is given below:

Q: Find g"(x) for the function g(x) = (x − 3x³)(x² + 1). [A] 6+ 2x [B] 60x4 - 12x [C] -60x³ 12x [D] 0…

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Q: Find the derivative of the vector function r' (t) = (1/-2t r(t) = n(17t²)i + √13+tj + let k 4e^4

A: Find the derivative of the vector functionr(t)=ln17-t2i+13+tj+1e4tkr'(t)=ddtln17-t2i+13+tj+1e4tk

Q: Let f(x) = x and g(x) = log₁ x. Find [f(x) • g(x) dx (A B d dx -[f(x) • g(x)] d dx =[f(x) • g(x)] =…

A: Given; f(x)=x and g(x)=log5x.

Q: Given the graph of y = f(x) shown below, what is the graph of y = f(-x)?

A: Given Graph

Q: Find the average value gave of the function g on the given interval. gave = 8 g(t) = 1 + 2² [0, 3]

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Q: 4.) Lynbrook West, an apartment complex, has 100 two-bedroom units. The monthly profit (in dollars)…

A: Topic -Application of derivatives Marginal profit function=ddxP(x) we are given,…

Q: Find the area of the region that is enclosed by the cardiod r = 10 — 10 sin 8. NOTE: Enter the exact…

A: Concept: The area of the region bounded by the cardioid is Area=∬Rrdθ

Q: 6. A company manufactures and sells x headphone per day. If the cost and revenue equations are:…

A: Cost Equation C(x) = 7000 - 2x   Revenue Equation R(x) = 10x - 0.001xSquare   Revenue if:-…

Q: 3. Find the plane that satisfies the following conditions: (a) The plane that passes through the…

A: Equation of planes passing through points x1,y1,z1,x2,y2,z2,x3,y3,z3…

Q: A tank of cylindrical shape originally contains 180 liters of water and has 5 grams of salt (the…

A: This is a linear differential equation problem. see below the answer and calculation

Q: 1 Let f(x) ƒ(x) = = . Find f-¹(x) - 01 Ox 1

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Q: Evaluate the integral. (Use C for the constant of integration.) tan²(x)) dx - / 5 (1-ta sec²(x)

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Q: 3. Find the plane that satisfies the following conditions: (a) The plane that passes through the…

A: As per the guidelines I am supposed to do the first question among multiple questions. To get the…

Q: the average value have of the function h on the given interva In(u) U h(u) = [1, 3]

A: Given query is to find the average value of the function.

Q: Graph the following system of linear inequalities.     3x − 2y   ≤   4 −4x + y   >   −6

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Q: The volume of 425 mL of a certain liquid has mass 390 g. Find the mass of this liquid that has…

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Q: Use the Table of Integrals to evaluate the integral. dx x² 49x² + 81 /

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Q: (g) Use V (2) and V ′(2) to estimate the value of V (2.1). (h) Find the maximum number of people…

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Q: Let The the domain of f is the set of all real numbers except Number Moreover, f (2) f(t+1) = Number…

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Q: x³ - 1 3 lim x-1 x - 4

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Q: 4. Ignacio wants to have 10,000 pesos at the end of 10 years. He decided to open a bank account that…

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Q: 1. For the function y = 5x³ - 4x a. Determine the average rate of change between x₁= 3 and x₂ = 5.…

A: Here we have to find average rate and instantaneous rate of change.

Q: Determine the intervals over which the function shown below is continuous. Enter your answer in…

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Q: 5. Find a parameterization for the intersection of a) the cylinder x² + y² = 9 and the plane z = 2…

A: Given a. The cylinder x2+y2=9 and the plane z=2 b. The paraboloid z=x2+y2 and the plane z=4y

Q: choose the correct answer If you toss a coin 3 times, what is the probability of getting 2 tails and…

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Q: Find the fluid force on the vertical side of the tank, where the dimensions are given in feet.…

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Q: 3. Find the curvature of the following: Give exact values only a) r(t) = (2t, t³,t²) at t = 1

A: The formulas of curvature are as follows

Q: QUESTION 10 or 2-3e* +2=0, x=0 is a solution. State the other solution. Round/truncate to three…

A: Topic = Algebra

Q: Evaluate the following limit limx→e HI -e x-e

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Q: Given that the acceleration vector is a (t) = (-4 cos(2t), -4 sin(2t), -4t). the initial velocity is…

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Q: Use the graph of f(x) shown below to determine each of the following limits. Provide your answer…

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Q: 4. Find for the equation 3y²-cosy = x³ 5. Find the equation of the tangent line that passes through…

A: I am attaching image so that you understand each and every step.

Q: 1) lim x² - 16 x 4 x + 4

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Q: A ladder 10 meters long is leaning against the wall of a house. The base of the ladder is pulled…

A: I am attaching image so that you understand each and every step.

Q: The graph of he following function has on horizontal tangent line with equation f(x)=x√²

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Q: Let f(x)=√x+1 Find and simplify the difference quotient: ○ (x + 1)² 1 2√x+1 1 √x+1+√a+1 1 2√x+1…

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Q: Find the arclength of the curve r(t) = (5t2, 2√5 t, lnt), for 1 ≤ t ≤ 10. L= Preview My Answers…

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Q: Use the formula below to find the instantaneous rate of change of the function at the given x-value.…

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Q: g(t)=t-3 h(t)=-3t³+6t Find g(1) +h(1) h(t)=t+5 g(t)=3t-5 Find (h. g)(5)

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Q: A math tutor makes $15.00 an hour. An additional $7.50 is added if she works past her normal 40 hour…

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Q: For the function f(x) given in the table, find the average rate of change over each specified…

A: For the function f(x)  given in the table, find the average rate of change over each specified…

Q: Write an example of a function and solve whose derivative can be found by using the following rules:…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: QUESTION 3 State the domain of: f(x)=√3-1-√2+t O [-2,3] O (-∞, -2) U (-2,3) U (3, ∞ ) O [-3, 0⁰0) 0…

A: Domain:- All those input values of a function such that function at those values exists.

Q: QUESTION 3 Let f(x)=√x x and g(x)=x² Find gof(x) and state its domain.

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