68t ²+2 An epidemic is growing in a region according to the rate N'(t) = 1 where N(t) is the number of people infected after t days. a. Find a formula for the number of people infected after t days, given that 39 people were infected at t=0. b. Use the answer from part a to find the number of people infected after 27 days. a. Find a formula for the number of people infected after t days, given that 39 people were infected at t=0. N(t)= (Round to three decimal places as needed.)

Q: Find the surface area of the torus generated by revolving the circle given by r = 5a about the line…

A: Given :r=5ar=7bsecθ0<5a<7b

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A:

Q: 2. The slope of the tangent line to a curve at any point (x, y) on the curve is. What is the…

A:

Q: Determine whether each of the following vector fields is path independent (conservative) or not. If…

A: Solution is given below:

Q: Determine if the critical points of the function f ( x ) = x³ + x² - x - 2 are maximum or minimum…

A: The given function is: fx=x3+x2-x-2   As we know that; To calculate the critical point, f'x=0.

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A:

Q: Find the mass and center of mass of the lamina bounded by the graphs of the equations for the given…

A: Given-

Q: Express e in the form a + ib. (Simplify your answer completely.) z = −7+3″ i 447

A:

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A: Total amount paid after 5 years or 60 months = 665 x 60 = $ 39900 Remaining amount that she can pay…

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A: The parametric equation of the position of the ball is given by…

Q: Write a formula for the nth term of the infinite sequence. Do not use a recursion formula. 9) 3, 15,…

A: Let's find nth tern of infinite sequence.

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Q: -3 Evaluate the triple integral ²³ sin(y²) dz dx dy.

A:

Q: y = 16 X + x² at x at x = 4.

A: Given Equation :- y=16x+x2  Find the equation for the tangent line to the curve at x=4

Q: Use the properties of infinite series to evaluate the following series. k 20*30*] Σ + 6 4 5 6 k=1

A:

Q: Consider the function: f (x) = −6x/ 6x^2 − 54 Step 1. Determine the intervals on which the function…

A:

Q: Select all invertible transformations from the list below: Shearing Translation Scaling Projection…

A: Projections are not invertible transformation except we projects onto an entire space.

Q: Find the slope and y-Intercept (if possible) of the line. (If an answer is undefined, enter…

A: The given equation is 7x-8y=8 We have to find the slope and y-intercept of the given equation.

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent.…

A: topic- sequence and series

Q: tor. f(x,y)= In (8+3x²+3y²); P(3,-1); (3.2) d the gradient of f(x,y) = In (8+3x²+3y²). xx,y)=

A: Topic:- application of derivatives

Q: Question 5 A planning engineer for a new flour mill must present some estimates to his company…

A:

Q: it is the empirical formula for C10H20O5 O C₂H5O

A: Empirical formula  An empirical formula is the simplest whole number ratio of elements in a…

Q: Find the local maxima and minima for the function. Find the intervals on which it is increasing and…

A: Given that functiony=x+1  ,4≤x≤10Solution :y=x+1y'=12x+1y4=4+1=5y10=10+1=11local maxima at x=10local…

Q: Consider the region B under the graph of y = 3x² + 1, x = [1,3], and above the x-axis. Find the area…

A:

Q: Given f(-6)= 18, f'(-6) = -16, g(-6) = -10, and g' (-6) = 14, find the value of h' (-6) based on the…

A:

Q: dy Solve the differential equation (x+1)+y=4e*, x>0. dx The solution is (Type an equation. HE

A:

Q: Find the area of the segment cut from the curve y=x (x-3) and the ordinates x=0 and x=5

A:

Q: Consider the basis S = {V₁, V₂] for R2, where v₁ = (1, 1) and v₂ = (1, 0), and let T:R2 R2 be the…

A:

Q: sporting goods store sells 64 tennis rackets per month at $90$ each. The owners estimate that for…

A: Given the query is to find the price to maximize the revenue.

Q: lim X118 3x³-2x x²+2x+8

A: We can find the limit as below.

Q: For the cubic polynomial function f(x) = ax³ + bx² + cx + d, find a, b, c, and d so that 0 is a…

A: Solution of given question is written in below steps.

Q: L3Q6. If f(x) = 2x – 1 and g(x) = log x, compute (f – g) (x). A.2x – 1 + log x B.2x – 1 – log x

A: Given; f(x) = 2x – 1 and g(x) = log x

Q: The solution of 3x-33 O b. x>6 O c. x<3

A:

Q: Find an equation for the surface obtained by rotating the line z = 7y about the z-axis.

A: On solving this we will get

Q: Let u = (6,-4), v = (-3,9), and w= (0,-7). Express 9u-2v + w in the form (a,b). 9u-2v+w= (Simplify…

A:

Q: Calculate the arc length of the indicated portion of the curve r(t). r(t) = (3 − 2t)i + (1+6t)j +…

A:

Q: The total cost (in hundreds of dollars) of producing x calculators per day is given by the equation.…

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Q: An employee has two options for positions in a large corporation. One position pays $14.25 per hour…

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Q: Crude oil imports to one country from another for 2009-2013 could be approximated by the following…

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Q: the magnitude of the equilibrant? pounds to the nearest tenth.) Media - Copyright © 2022 Pearson…

A: Topic:- trigonometry ratios application

Q: 8-x-1² if x 2 Calculate the following limits. Enter "DNE" if the limit does not exis f(x) Let f(x)…

A:

Q: Evaluate 112x (2x - y) dx + (x + 3y) dy. C: x-axis from x = 0 to x = 6

A:

Q: With respect to the curve 2² - 2xy + 3y² = 1, answer the following questions. 1. What is the curve?…

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Q: Question 1 (a) A particle moves according to a law of motion s = f(t), f(t) = t³ - 9t² + 24t, t> 0…

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Q: A car lease requires payments of $485 at the beginning of each month for 8 years. If the lease rate…

A:

Q: . Consider the series partial sum of infinity to k = 2 of (k^4 + 2k^2 + k −3)^(1/2)/(k^3 + 2k^2 + 6)…

A: Solve the following

Q: Calculate L6 for f(x) = √√7x + 3 over [1, 3]. (Give your answer to three decimal places.)

A: The given function fx=7x+3 over the interval 1,3 we have to the left Riemann sum using 6…

Q: 2x 4) y" + 6y' + 5y = 2eª + e²x.

A:

Q: (b) Use Simpson's Rule with n = 10 to estimate the area of the surface obtained by ro the cosine…

A: I have solved b part as asked.

Q: Use the Product Rule or Quotient Rule to find the derivative of f(x) = None of these. f'(x) = f'(x)…

A: topic- derivative of a function quotient rule:uv'=vu'-uv'v2