An investment of $40,500.00 earns 1.8% annual interest, compounded continuously. How long will it take to triple in value? Round your answer to two decimal places (hundredths). Answer = years

Q: If f(x) = (t + 3)e' dt, on what interval is f increasing? (Justify your answer)

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Q: Part A The population p, in thousands of bacterial colonies on a kitchen bench can be modelled by…

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Q: 3. 2 csc 2x = sec x csc x

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: We have to find open intervals on which the graph is concave upward or concave downward

Q: Find the arc-length function s(t) for the line segment given by r(t) = (9 - 9t, 40t). s(t) = Write r…

A: Given :- r(t) = <9-9t, 40t> for arc length

Q: 9. Which of the following is f(x) = x³ the parent function for? a) f(x) = 8x³ - 13x + 11 b)…

A: 9. Which of the following is f(x)=x3 parent function for.

Q: 2. Consider the parallelogram ABCD where A(0,1,2), B(1,2,3), and C(0,3,5). [2] a) Find the…

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Q: Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for…

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Q: (a) Find the velocity function. v (t) = (b) Find the acceleration function. a (t) = PY PW POY

A: A particle moves according to the position function st=e4tsin5t To find the velocity and…

Q: Find the curvature x for the curve y = x - K = x² at the point x = 2.

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

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Q: Answer: Use a triple integral to find the volume of the solid enclosed by the paraboloids y = x² +…

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Q: Break up 9 m/s 4.5 m/s [S], 7.8 m/s [W] 4.5 m/s [S], 4.5 m/s [W] 3 m/s [S], 6 m/s [W] O4.5 m/s [W],…

A: Please see the below picture for detailed solution.

Q: 3. a. f(-2)= b. f(1) = c. lim f(x) =

A: Note :- This is multiple sub parts questions and according to our company guideline we can do…

Q: Solve: xy + y + 4x³y¹ = 0 O 6ry³ + Cr³y³ = 1 O 15r y³ +Cr³y³ = 4 O9r³y³ + Cr³y³ = 5 O 2r³y³ + Cr³y³…

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Q: 5. Find using first principles the slope of the tangent to f(x) = x² + 6x + 9 at x = -3.

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Q: If u = sin® 3 - x 2 find Ou Əx Ou and ह Hence show that 2 Ou 1 y x 3 –x dy Ou = 0

A: Given u=sin-13-xy2

Q: What is the general solution to the the differential equationy'''=0? A y=C₁+C₁₂x 1 By=C₁+C₁₂x+C₁₂x²…

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Q: - -5 -4 -3 -2 1 - 1 y 5 3- N 1- 1 -2H -3- 1 2 3 4 5 X

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Q: The graph of f(x) is shown (see figure). 2X f(x) = (a) Find the following limits. L = lim f(x) = V…

A: According to guidelines, we must answer only three of the multiple subparts given. So, I answered…

Q: Given the function f(x)= |x-1|: (a) explain why f(x)= |x-1| does not have an inverse function over…

A: Given fx=x-1

Q: Consider the points A(3, 5, 1), B(7, -1, 0) and – C(-1, 3, 4). Find 2AB + BC. O(-1, 2, 3) O(0, -10,…

A: The given points are A3,-5,1, B7,-1,0 and C-1,-3,4

Q: A girl got 40 marks in a paper of 60 marks. And the subject has 80% weightage, so how many marks did…

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Q: 10. Find the area bounded by the curve x = y² + 2y and the line x = 3.

A: Area Bounded by the Curves : If f(y) and g(y) are two continuous function on a,b and f(y)≥g(y), then…

Q: What is the max area of a rectangle placed between the x-axis and the function f(x)= -x^4 + 3

A: Answer : Maximum area should be 4.225 unit2 .

Q: Evaluate the triple integral x dV where E is the solid bounded by the paraboloid x = 6y² + 6z² and x…

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Q: Consider y=√x+1. (a) Find its inverse relation. Is this relation a function? Why? If the inverse is…

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Q: Det er mine absolutely it each convergent, Conditionally convergent, you > k=1 the following is or…

A: Given ∑k=1∞coskπk

Q: Solve the following first order differential equation: dy y² +49 +3 35 4 x² + 2x³-3x² dx == 0 given…

A: Differential equation: 35x4+2x3-3x2·dydx-y2+49x3=0

Q: Evaluate both integrals of the Divergence Theorem for the following vector field and region. Check…

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Q: Find the Indefinite Integral and check your result by differentiation. (Use C for the constant of…

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Q: 5 (x²-4)

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Q: Which of the following functions will have a dashed line for the graph? y ≤ 4x^2 + 1 y = 4x^2 + 1…

A: Question : Which of the following functions will have a dashed line for the graph? 1. y ≤ 4x^2 + 1…

Q: 2 (2y² + 5xy 4 Ο α. χ' (y² + 2xy = y + 2) = C O b. x4 (y² O 2y + 4) dx + x (2x + 2y − 1) dy = 0 - -…

A: The given differential equation is; 2(2y2+5xy-2y+4)dx+x(2x+2y-1)dy=0.

Q: Assume that the shape of the athlete's high-jump is parabolic. the function, in vertex form, where…

A: The axis of symmetry is t = 0.6 and the maximum height is 1.80 mhence the vertex is  (0.6, 1.80)

Q: Consider the following function. f(x) = (x-8)e* (a) Find the critical numbers of f. (Enter your…

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Q: (3x²+2x-6)dx + e²ydy=0

A: Given Problem:- 3x2+2x-6dx+e2ydy=0

Q: 1. Factor the following completely. a) 16x² - 100 b) 15x²-3x - 12

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Q: Determine the limit of the following by using l'hospital's rule

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Q: Find the differential dy of the given function. (Use "dx" for dx.) 7 y = 6√x + 7 x dy = (3x72xx)dx…

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Q: Let the position function of a particle be r = (t, t², 0). Find the normal component of the…

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Q: Find the flux of F across S, [/F. Nds where N is the upward unit normal vector to S. F(x, y, z) =…

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Q: Two cars are moving towards an intersection. One car is 170 meters north of the intersection and…

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Q: e) 3 (12x²-108) 2 x + x - 12

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Q: Problem Set question: The position function for a falling objects is given by s (t) = -16t² + vot +…

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Q: Consider the curve r(t) = (5t² − 3)i + (3t - sin(t))j. - y -5 5 a(t) = -5 5 10 15 20 (a) Find the…

A: The given curve rt=5t2-3i+3t-sintj use the derivative formulas, ddttn=ntn-1ddtsin t=cos tddtcos…

Q: Use the graph of ƒ (x) = x² below to find a number & such that x² − 1| < 0.5 whenever 0 < |ï − 1| <…

A: The graph of the function fx=x2 is given To find the value of δ such that x2-1&lt;0.5 whenever…

Q: f(x, y, z) = 2 ≤ x ≤ 10,0 ≤ y ≤ 4,0 ≤ z ≤4

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Q: 16. Given the graph of g(x), Draw the graph of g-¹(x). Show your strategy for drawing the graph of…

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Q: Part B The growth of a similar population was investigated after spraying a kitchen bench with Glen…

A: Note: There are multiple sub questions. No specific question has been asked. So, We will solve the…