The number of bacteria in a refrigerated food product is given by N(T) = 23T² – 96T + 12, 5 < T < 35 where T is the temperature of the food. When the food is removed from the refrigerator, the temperature is given by T(t) = 5t + 1.5, where t is the time in hours. Find the composite function N(T(t)): N(T(t)) = Find the number of bacteria after 6.2 hours. Give your answer accurate to the nearest whole value. bacteria

Q: Solve the given differential equation by separation of variables. y In x dx x dx = (x + 1)² 12/2+2 =…

A:

Q: ?z Find the partial derivative of z with respect to x ) for z = (3x² + 1) cos(x²y) дх -2xy' (3x² +…

A:

Q: 4. √ (3x² + 4x − 5). 8(r³+2x²–5x+5) dx

A: We have to find solutions

Q: ii. Given g(x)= x²+5 if x<-2 3-3x if x2-2 Find the following: 15 d. g(-2)= e. Determine with an…

A: gx=x2+5if x&lt;-23-3xif x≥-2

Q: The revenue in dollars for a product is given by the function R(x) = 36x -0.01x² where x is the…

A: To find average rate of change in revenue as x varies.

Q: Find an equation for the ellipse whose vertices are at (-1,-8) and (-1,0), and focus is at (-1,-1).…

A: NOTE: Refresh your page if you can't see any equations. . given vertices are

Q: For the following exercises, draw the region bounded by the curves. Then, find the volume when the…

A:

Q: rite the first five terms of the sequence: √n² +10n-n}+1 = etermine whether the sequence converges,…

A:

Q: For the function f(x) given below, where x > 0, evaluate lim f(x). X18 f(x) = ln(9x³ + 10) - In(2x²…

A:

Q: The temperature of a room in degree Celsius is modeled by a differentiable function T(x) where x is…

A: We need to choose correct option.

Q: x f(x) f'(x) x g(x) g'(x) 1 3 4 1 2 6 2 5 2 8 7 3 7 7 3 9 2 4 -1 4 5 -3 Using the tables, evaluate…

A:

Q: U dou U 3 cz³ Ox² x³y² 2 Z Oy + 3 x ³ yz

A: Given :u=x3y2z2+x3yz

Q: Given f(x, y, z) = √x2 - z+ 1 = ду 2Va²-z o af Х - z ду ala ala ду = Vx2 ет - У - у2 Y Determine af…

A:

Q: Below are three functions with their domains and codomains specified. For each one, classify it as…

A:

Q: Given f(x, y, z) = xV/x² - yz - - Determine of дz . O of дz of дz af дz of дz = = x² - у 2√x² - yz…

A: Find the derivative

Q: The area bounded by the lines x = 0, x = 2, x + y = 4, and x – y = 4 is revolved about  the line x =…

A: Given problem:- The area bounded by the lines x = 0, x = 2, x + y = 4, and x – y = 4 is revolved…

Q: Draw a cone that is inscribed in a regular pyramid whose altitude is 5 inches less than 3 times a…

A: Concept: The volume of the cone is 13πr2h The surface area of the cone is πr2+πrl Where r is the…

Q: By reversing evaluate LE O the order of integration double integral cos (x²) do dy LE

A: Hello learner we can answer first question as per the honor policy. Please resubmit other question…

Q: 3. find the derivative 513.5+412.52¹.7 lt Enter your answer

A: Taking derivative of the function with respect to t and using power rule of derivative gives the…

Q: Determine dy/dx, if the curve is described by the equation 4y^3-5x^2y=4x^2

A:

Q: Graph the parabola. y=x+2x-2 Plot five points on the parabola: the vertex, two points to the left of…

A: We have to find the graph

Q: Which of the following is TRUE about the function y domain is greater than 3 O as →→ 00, y → 0 x = 3…

A:

Q: Use the Integral Test to determine whether the series is convergent or divergent. nhe-n n = 1…

A:

Q: Expand and simplify. 3(2y-3) 2(4y-1)(4+1) Factor: a. 3x² + 16x-12 b. x²-y²-6y-9

A: We will solve all 3 subparts in the following steps.

Q: By using convolution theorem for Laplace transform, prove that 1 L-1 ;x) = { erf (2√x) PVp +4

A:

Q: d- ax d² y +6. dx² d³ y dx3 - - Q.2-Solve the differential equation dy 15 - 100y = 0 dx

A:

Q: 8. 1 (1+x)√√x / dx

A: We have to find out integral

Q: y=(2x−1)' (2-3x)* at the point (1,1)

A: We have to determine the equation of the tangent line to the curve  y=2x-13 2-3x4, at the point 1,…

Q: x2 − 4 (1) Let f(x) x2 +4 (a) Find the vertical and horizontal asymptotes of f. =

A:

Q: 3. Graph and then find the area of the region bounded by the curves y = 8x - x² and y=2x−7.

A:

Q: Find the area of the triangle with the given vertices. (Hint: 1/2 ||u ✕ v|| is the area of the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the partial derivative of z with respect to x z = (3x² + 1) cos(x²y). əz = -2x (3x² + 1)…

A: Given function z=(3x2+1)cos(x2y)

Q: Question 13 Given: ez + xy = 1 dz Find: dr zey te O dz 8x 8x dz 8x Za zerx Ty IZ ce¹² ze Ty

A:

Q: Given a function y² z f(w, x, y, z) = 2(w + 1)²x - xe² + W which of the following is not part of the…

A:

Q: Evaluate: lime 1-sin 0+cos 0 sin 20-cos 0

A: The objective is to evaluate the limit.

Q: Find and sketch the domain of the function. f(x, y) - In(4x2 - 4y²) y

A:

Q: Calculus I

A: Differentiate and put the respective values.

Q: using the guide below Analyze and sketch the curve (x) = (x-1)² A) Domain, intercepts, asymptotes,…

A:

Q: Find the area of the region bounded above by y = x³ + 1 and below by y = x + 1. 3 2.5 2 1.5+ 3.5…

A:

Q: b. If F'(x) = f(x) then [f(x) dx = F(x) + C

A:

Q: √x²-3-1 x - 2 A. lim x-2 tet B. lim to et +1 C. lim x→1 x² + x - 2 x² - 1

A:

Q: Given w = xex + ln(x²yz3) Determine дш дх O дш дх δω дх ди дх дш дх = ex(1 - x) + = xẻ +1+ 11 N|X 2…

A:

Q: (b) The graph of y-g(x) is shown. Draw the graph of y-g(2x). X

A:

Q: 9(x) f(a) -10-9-8-7-6-5-4-3-2 The graphs of f(x)-- Ox-Intercept O Vertical asymptote O Range O End…

A:

Q: A carpenter holds a 16-lb 2-in. by 4-in. board as shown. If he exerts vertical forces on the board,…

A:

Q: Given w = y² arctan(xyz) + 2x ln(xz). Determine dw მყა dro = y² + 2 arctan(xyz) + 2x ln(xz) dy du…

A:

Q: S₁ (6x³ +11x² - 4x) 18x² +22x-4) d dx -3/5 C.

A: The given integration is: ∫016x3+11x2-4x-3518x2+22x-4dx To find the value of the integration.

Q: d. y""-6y" + 12y' - 8y = 0

A:

Q: b- 2π -50 1 (1+tan²0)3 do

A:

Q: Graph the parabola. y=x+2x-2 Plot five points on the parabola: the vertex, two points to the left of…

A: