Suppose that a particle moves along a straight line with velocity v(t) = 10 - 1t, where 0 ≤ t ≤ 5.5 ( meters per second). Find the formula for the displacement of the particle and the total distance it has traveled at time t = 5.5 seconds. I Displacement at time t is: Total distance traveled: meters in 5.5 seconds

Q: Describe the level curves of the function. z=x+y, c= -2, 0, 2, 3 O The level curves are parabolas.…

A: We need to choose correct option.

Q: Find the limit, if it exists. If the limit does not exist, explain why. limx→∞ x / √x^2+x+1

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Q: Find three mutually orthogonal unit vectors in R³ besides ti, tj, and tk There are multiple ways to…

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Q: · 1. -1 (3-2x) ³ dx

A: The objective is to evaluate the integration.

Q: Q5: Find for the following functions: TTTTTT³ : (2) y tan³√cot(7x) : = (4) y = x sinh 2x-cosh 2x (3)…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Q3 :(A): By using "L' Hopital rules "; Find the limits of : (1) limx-ol: 1-cos x - sin²x

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Q: Set-up and evaluate the triple integral for the mass of the box 1≤x≤2, 1≤y≤16, 0≤z≤ with √√y density…

A: To setup and evaluate the triple integral for mass of the box.

Q: Q4: Answer two only: 2 1 -1 (A): I A=2 -2 Find AB and AC : - 1²/2 3 11 -2 -2 and 2 -- }

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Q: If 15,18 log (14¹) A = B = = C: = = A log(x) + Blog(y) + Clog(z) then

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Q: Given compute the following integral. Provide your answer below: -6f(x) dx = = 9 [² f(x) dx = 2,…

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Q: Q2: Solve the following integrals: (1) f 7x²+14x+15 (x²+3)(x+7) 02 dx ; u nein!! sin x+cos x (2) […

A: We have to calculate the given indefinite integral according to the given information

Q: 38.Calculate the surface area of the surface obtained by revolving the curve y = √9-x² around the…

A: Note to student :    Thanks for posting your queries. But there are multiple questions given. As per…

Q: Find the length of the following three-dimensional curv r(t) = (9+5t,3-2t,-1+2t), for 1sts6

A: To find the length of the given three dimensional curve.

Q: 10. dy dx = X y²√1 + x

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Q: 3. Translation: (x,y) → (x-6, y + 4) 5 -5 -5 Y C B X D 5

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1. Given the space curve r(t) = (2e¹,e²¹.e^¹), find the curvature at t = 0

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

Q: The football game was attended by 237 people, down 40% from last week. How many people attended last…

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Q: Q1/ Solve the following differential Equations. 1- (1+x2)dy-xy dx = 0

A: To solve the differential equation.

Q: The marginal cost for printing a paperback book at a small publishing company is c(p) = $0.012 per…

A: Given data÷ Marginal cost  cp=$0.012 per page  Where p=number of pages

Q: 2 -1 -x²+8x-4 dx 1 x(x²+x-2)

A:

Q: 2. Find the equation of the line tangent to the circle x + y + 6x - 2y - 15 = 0 at the point (1,-2).

A: x2 + y2 + 6x -2y -15 = 0  given we have to find equation of tangent line to circle  for that first…

Q: Q5: Find for the following functions: dx (1) In(x - y) = xy + y³; (2)y=tan³ √/cot(7x); cash? -nh.…

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Q: al speed seball, hit 3 feet above the ground, leaves the bat at an angle of 45° and is caught by an…

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Q: Calculate (9x10^7) divided by (45x10^3) show your work and answer in scientific notation

A: Given :   9×10745×103

Q: Q2: Solve the following integral (1) 7x²+14x+15 (x²+3)(x+7) dx dx ; (2)

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Q: Set-up and evaluate the triple integral for the mass of the box 1≤x≤2, 1≤ y ≤16, 0≤z≤ with √√y…

A:

Q: Question 1 a) Find the value(s) of y such that the vectors U₁ = and u₂ = are parallel. b) Find the…

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Q: There are 2 workers in one of companies, the company has determine the normal work hours by 8 hours…

A: If an individual worked 40 hours in a given period and earned $20 per hour, the calculation would…

Q: Find the indefinite integral. (Use c for the constant of integration.) (2ti + j + 9k) dt 2ti + tj +…

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Q: Given f(x) = 3x³ +22x² - Part: 0 / 2 Part 1 of 2 -21x-40, answer the following. Factor f(x), given…

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Q: What is the value of x if log, √x-1=2? O 82 65 O 19 0-8

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Q: Question 1 a) Find the value(s) of y such that the vectors U₁ = and u₂ = are parallel. b) Find the…

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Q: The equation u = 2uxx is O an ordinary differential equation in two variable: t and x O a partial…

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Q: What is calculas

A: Concept: Calculus: One of the most significant areas of mathematics that deals with continuous…

Q: Q1: Answer two only (A): Solve the following linear equations by Cramer's rule: x+y+2z=1 2x-y-z=0 x…

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Q: ¡¡y y cos x² dx dy Evaluate the double integral by reversing the order Show your answer in details.

A: Change the order of integration and then  change limits respectively

Q: When a patient with hypertension takes a particular type of blood pressure medication, the effects…

A: We have to find the interval in which interval will the systolic pressure be lowest.

Q: The velocity function the time interval [-3,5]. article moving along a line. Find the displacement…

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Q: For f(x) = 6x and g(x)=x+8, find the following functions. a. (fog)(x); b. (gof)(x); c. (fog)(2); d.…

A: Solution ) f(x) = 6x , g(x) = x + 8  a) (f o g) ( x ) = f ( g(x) ) = f( x + 8 )  = 6 ( x + 8 )  = 6x…

Q: 1. Integrate: [x³ sin(2x) dx.

A: As per Bartleby guideline, only the first question has been answered. If you want to get the answer…

Q: (C): Solve the following equations:- (1) sin 2x + 2 sin² = 1

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Ỉ Ỉ y=0 x=0 (r’–6xy® +5y*) dxdy =

A: Given, ∫02∫03x2-6xy3+5y4dxdy

Q: a. For the following function, find f'(a). b. Determine an equation of the line tangent to the graph…

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Q: You go to the doctor and he gives you 15 milligrams of radioactive dye. After 16 minutes, 5…

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

Q: There are 2 workers in one of companies, the company has determine the normal work hours by 8 hours…

A: This includes building costs, property taxes, utilities, payroll taxes, benefits, insurance,…

Q: Q3 :(A): By using "L' Hopital rules "; Find the limits of : (1) limx-ol 1-cos x sin²x (2) lim, o…

A: 3 1) limx-0[1/(1-cosx) -2/sin2x ] 2) limx-0 (tan-1x-x) x-3

Q: a. For the following function, find f'(a). b. Determine an equation of the line tangent to the graph…

A: To find f'(a) & equation of tangent:

Q: Q5: Find d for the following functions: dx (1) In(x - y) = xy + y³ ; (2) y = tan³ √cot(7x) ;

A: We can solve the answers as below by finding the derivatives.

Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

A: To find v(t) ,s(t) and a(t) for the given position vector r(t).

Q: Discuss the continuity of the function. f(x, y, z)= sin(z) ex + ex continuous except at (0, 0, 0)…

A: Our Aim is to discuss the continuity of the function given below:-f(x,y,z)=sin (z)ex+ey -(i)