If t = 12, then Y12 = 4, 727, 272e (In 1.17 10 12 5,707, 340

Q: ii. Given g(x) = √x²+5 if x<-2 3-3x if x2-2

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Q: A box with an open top is to be constructed from a square piece of cardboard, 3 m wide, by cutting a…

A: 1) Given:

Q: d dx sin(t) dt

A: We have to find derivative

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Q: 1) 2) 3) cos ¹(2) j(1-j√3)(√8+j) (1+j)(1-j√3)²

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Q: Q4/ Using the Taylor series method to solve: dy = y cos(x), Where y(0) = 1. dx

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Q: Determine the maximum and minimum values of the function f(x)=cos³x on the interval x10,2x). Max…

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Q: You are given a piece of sheet metal that is twice as long as it is wide and has an area of 800 m².…

A: Concept: Maxima and minima: The highest and smallest values of a function are its extrema. Maxima…

Q: Eliminate the arbitrary constants of the following. Simplify your answers.  9. y = e^2x (c1cosx +…

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Q: tially contains 50 gal. of fresh water. Brine (water in which a certain number of pounds of salt…

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Q: In a certain manufacturing process, when the level of production is r units, the cost of production,…

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Q: Using Newton Raphson's method find the root of the non-linear equation e=lnx-1 with three…

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Q: How many odd three digit number can be written using the digits 2, 3, 4, 5, and 6?

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Q: @ evaluate the definite integral S² (9x² - 10x + 6) dx 3

A: Solve the integration

Q: Example: • f(x, y, z) = x³ + 3xy + 3xz + y² + 3yz + z³ • Find the stationary points • Classify the…

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Q: (0)3-3x+2 sinh' (In x) cosh (In x) (E) sin(2x)dx dx N

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Q: -1 If f(x) = e calculate ƒ '(2).

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Q: Use the graph off to determine where a) f(x) > 0 and b) f(x) 0 on the interval 300-

A: Topic = Functions

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Q: Solve for C in the solution for dx/dy = xy^3/(2y^4+x^4); y(2)=4 Use 2 decimal places

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Q: 1. Why is mathematics difficult to define?

A: Disclaimer:  “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Suppose you are asked to list, in order of preference, the 3 best movies you have seen this year. If…

A: Let's solve number of ways.

Q: x=2y-3 and x=1+4y=2y². (-5,-1) x=2y-3 x=1+4y=2y² 2 0 (1,2) 2

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Q: xy lim (x,y)→(0,0) x² + y²

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Q: Given the function z = f(x,y) = x²y + 2y² + 4xy-2, find the following: a) Find all of its critical…

A: Here, we need to find the critical points.

Q: 02:- a. b. Let u=x²-2xy + 2y³ with x = s² lnt and y = 2st³. Find ou/Os and du/ît. find the total…

A: In this question, we want to find the partial derivatives and total derivatives of the given…

Q: ) Solve the Recurrence Relation Xk+2 +4Xk+1+3Xk = 3K where x₁ = 0, x₁ = 1

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Q: 3. Let f'(x)=(x-10)(x+2)2(x-1)(x+7). For what values of x is fx) increasing? 0-110 0-9 8 None of…

A: Explanation of the answer is as follows

Q: Ismael made an error when he was evaluating log3 27 - log3 9. Ismael's work log3 27 - log3 9 log, 27…

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Q: Find the absolute maximum and minimum values of f(x,y)= x²-2xy+2y on the rectangle defined I by x in…

A: We need to find absolute maximum and absolute minimum on guven region.

Q: The population of a city doubles in 50 years. How many years will it be four times as much? Assume…

A: In this question, we want to know that in how many years the population will be four times using the…

Q: sec5 (sin ¹(7x)) √1 - 49x² dx

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Q: Use a calculator to evaluate the expression.   Round your answer to the nearest hundredth.…

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Q: (1) 3. a) In how many ways can the letters in the word DISCOVER be arranged if there are no…

A: Let's solve.

Q: Determine the absolute extrema of the function f(x) = (x-3)e* on the interval -2 ≤x≤1.

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Q: Find the absolute maximum and absolute minimum values of z€

A: This question can be solved using the concept of absolute maximum and absolute minimum.

Q: Find an equation for the plane through P(1,4, 4) that contains the line of intersection of the…

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Q: Find the limit: lim (z,y) → (3,3) 4x4 - 4y4 x² - y²

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Q: If y = (3 + 2x), what is y"? 00 48(3 + 2)2 © 12(3+2r)? O24(3 + 2)²

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Q: Which graph could be used to find the solution(s) to the system of equations y = log₂(x + 2) and…

A: The system of equations y=log2x+2 and y=x3-2x2-5x+6

Q: There are 28 students in Mr. Connelly's Grade 12 mathematics class. The number of students in the…

A: Denote nA=number of elements in the set.

Q: If F(x) = f(g(x)), where f(−2) = 4, f ′(−2) = 3, f ′(5) = 5, g(5) = −2, and g ′(5) = 4, find F…

A: NOTE: Refresh your page if you can't see any equations. . here we have f(−2) = 4, f ′(−2) = 3, f…

Q: f(x) = (1 + ln x) ³ 3

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Q: 1. Write a formula for f g h 2. Find the value of x [2x 31[¹3] = .f(x)=√x+1, g(x)=(x) -

A: 1) The given functions are: f(x)=x+1, g(x)=1x+4, h(x)=1x

Q: The motion of a point on the circumference of a rolling wheel of radius 4 feet is described by the…

A: If r=r(t) is a position vector then v(t)=drdt is the velocity vector        a(t)=dvdt is the…

Q: Find the slope of the tangent line to y = sin x tan (즉) m =√3 2 m = T√√3 3 m = -√3 3 None of the…

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Q: If y = (6x)¹/2, what is

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Q: Problem 5. An observer is positioned 3km away from a rocket launch pad. How fast is the distance…

A: This question can be solved using the concept of rate of change.