Choose the correct speed and direction of a plane with a velocity of (-5,12) . 13,293° 17,113° 13,113° 17,293° O O

Q: A colony of bacteria starts with 2000 individuals. The colony is exposed to a new penicillin-type…

A: Find your answer below

Q: #4A

A: answer is in next step

Q: Find the exact sum of the series 1 - 1 + (1/2!) - (1/3!) + (1/4!) - (1/5!) + (1/6!) - ...

A: Topic:- sequence and series

Q: Answer the following True or False. dt sec 't |', \_ 1 = 27. |t|VE2 - 1 O True O False

A: sec-11=0 and sec-1(-1)=π

Q: y(x - 6y)dx - x(2x - 9y)dy = 0; when x=1, y=1 a. y?(2y-3x) = 3x2 O b. y?(2y+3x) = x² c. y2(3y-x) =…

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Q: V = 75(1.2)', where V is in dollars and t is the number of years since 1975. Find the rate, in…

A: The value of a particular rocking chair is well approximated by V=751.2t

Q: In each part, use a scalar triple product to determine whether the vectors lie in the same plane.…

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Q: What is the value of x in the diagram below? Round your answer to the nearest hundredth. Show all…

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Q: what is the area between the curves: y = 7 cos( pi*x),    y = 12x2 − 3

A: 7cos(πx) and 12x2-3

Q: (бх2 — 4x + 5)dx (2x – 1)(3x + 4)dx Jx(vz - 1)dx

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Q: y Find the equation of tangent line to the curve y'+ln =1 at the point ,2 (1, 1).

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Q: 34. f (г) — 1 ; с34

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Q: Radium decomposes at a rate proportional to the amount present. If 100 milligrams of Radium at…

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Q: funchoN f whose second derivative is f ")= 5x+2sin(x If fo 3 and fro)= 3. what is fe?

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Q: Given the vectors, ū = -3i+2j and = 4i – j, find 4ü-27. %3D (-20,10) (20,-10) (-20,-10) (20,10)

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Q: 1. Find the radius of convergence and interval of convergence of the series. (a) (-1)"(n+1)"a²" n=1

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Q: 1 x (In x)3

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Q: The integral of the given function f (x+6)dx is (x+2)2

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Q: (k +3)! kk Consider the series ak k=1 a) What is ak+1? ak-1= ak+12 b) What is ak ak-1/a = ak+1 c)…

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Q: How do you take the integral of 2 * sqrt((t^2 + 1)) ? Can you label notes on each step? I can't see…

A: We will solve this question using integration by parts.

Q: Consider the function f(t) = 3 sec?(t) – 4t². Let F(t) be the antiderivative of f(t) with F(0) = 0.…

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Q: Question 5 of 25 An airplane climbs at an angle of 24° at an average speed of 480 mph. How long will…

A: Let 'h' be the hypotenuse sin(24°)=3.1h 0.40674=3.1h ⇒ h=3.10.40674 h=7.62158

Q: given point 1. y = 2x° - 3x² - 2x + 5 ; where x 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: s "(t) if s(t) = Je tl +1

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Q: In each part, use a scalar triple product to determine whether the vectors lie in the same plane.…

A: This question is related to vectors, we will solve it solve it using given information.

Q: -3x 4. Y= -3x

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Q: ) Find the y’’ (second derivative) of the following in its simplified form. Do not skip the steps…

A: This is a problem of differentiation of the function. Based on the general formula we will solve the…

Q: Describe how to use the second derivative test to classify critical numbers. You must state 3 steps.

A: Describe how to use the second derivative test to classify critical numbers. You must state 3 steps.

Q: Find the domain of this 2-variable function and sketch it (shade it in): f (x, y) = V1– x² – y2 y 1…

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Q: dy S4ト9-とト」

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Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not…

A: After solving the problem, we get only one equation. But, there is three variables. So, we have to…

Q: Here are three functions involving exponential functions: i) s(x) = = (e" – e*) $(x) iii) (x) = c(x)…

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Q: Use the following information to answer the next three questions. A model of a house was built using…

A: 2.5cm corresponds to 1m.

Q: Solve AABC subject to the given conditions, if possible. Round the lengths of the sides and measures…

A: b=144.9c=123A=114.6°Law of cosine;a2=b2+c2-2bc cosA…

Q: 3. Determine the values of a, b, and c such that the function f(x)=x+ax + bx+c has a y-intercept of…

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Q: 3. Which of the following is the solution to sin a +1 = 0? O x = 0 + 360k O x = 180 + 360k O x = 90…

A: Simplify the equation.

Q: За. й —; й —

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: The function g(x) is defined for-3 5xs3. The behaviour of g'(x) and g"(x) is given below. -3 <x<-2…

A: Given problem:-

Q: Find the interval of convergence. 00 (x + 6)" Σ (n In(n))² n=2 (Use symbolic notation and fractions…

A: The given series is: ∑n=2∞(x+6)n(n(ln(n))2 Let, an=(x+6)n(n(ln(n))2, n&gt;1

Q: Find the radius of convergence about x = -2 and interval of convergence of the series Sn°(ar + 2)"…

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Q: Learning Task 1: For the given functions f(x) and g(x), find ( ° g)(x) 1. f(x) = x² and g(x) = x + 5…

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

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Q: (2х — Зу + 1)dх — (3х + 2у — 4)dy 3D0

A: The given DE is of the type: Mdx+Ndy=0 where  M=2x-3y+1 &amp; N=-(3x+2y-4)⇒My=-3, Nx=-3⇒My=Nx

Q: 1„2 The graph shown is f (x) = ±x². 4 3 21 1 54 3-2 -14 1 2 3 4 5 -2 3 4 If g(x) = `f(t) dt, what is…

A: This is a problem of antiderivative function. Based on the general formula we will answer the…

Q: Consider the function f (x) = (1)/(x^2 −1)  a. Find the intervals f is increasing. b. Find the…

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Q: Consider the following curve. r2 cos(2?) = 9 A) Write an equation for the curve in terms of sin(?)…

A: The given curve is r2cos(2θ)=9

Q: Find the volume of the parallelepiped with the given vertices . (0, 0, 0), (0, 4, 0), (-3, о, 0),…

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Q: r = 4 sin 0 – 2 cos e by finding a Cartesian equation of the curve. Find a polar equation for the…

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Q: dx + (x — у + 4)?dy %3D 0 ||

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Q: . Y= In (- (x-2)2

A: To solve the second derivative of the function