17. The equation A = 400(3)* models the growth of bacteria over time. Let A = the amount of bacteria and let x = one hour intervals. What does the 3 mean in the context of the scenario? A. There are three bacteria at the beginning of the experiment. B. There amount of bacteria triples every hour. C. The amount of bacteria doubles every 3 hours. D. The amount of bacteria triples every 400 minutes.

Q: d. What are the intervals of concavity? e. What are the x and y-intercepts? f. Are there any…

A:

Q: Describe and graph the regions in the first quadrant of the x1x2-plane determined by the given…

A:

Q: 2. Given the following: ƒ(x) = x³e¯*; ƒ'(x) = x²(x − 3)(− e¯¾); ƒ''(x) = x(x² − 6x + 6)e¯* a. Find…

A: Given

Q: (a) In the accompanying figure, the area of the triangle ABC can be expressed as area ABC-area…

A: Let's solve for area of the triangle.

Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² +…

A:

Q: During a fireworks display, a starburst rocket is shot upward with an initial velocity of 34.5 m/s…

A: According to the company policy we are supposed to answer only first three sub parts and rest of the…

Q: f(x csc² 6x - x cos 6x)dx

A: Given: I=∫xcsc26x-xcos6xdx   As we know that; The Sum Rule: ∫fx±gxdx=∫fxdx±∫gxdx And a).…

Q: I. Jas dx 25+ x²

A: Given, ∫125+x2dx

Q: The following five statements, numbered 1 to 5, were made about the graph of = tan c. Statement 1…

A:

Q: the argument of the Complex number: Z= ¹+√ √B-j

A:

Q: A stone is released with zero velocity from the top of a tower, reaches the ground in 4 sec. The…

A:

Q: The function f(x) = x² + 1 is Bijection from R to R Injection from R to R Onto and Injection from R…

A:

Q: t² +3t t--3t²-t-12 b. lim (-3)²-9 u-0 น (x+h)³-x³ C. lim h→0 h a. lim

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: ππ 2 CAP• 0 0 0 ¢ sinr do dr dộ

A:

Q: Solve for x sin (log2 (13x2 + 16x - 34) = y

A:

Q: f(x csc² 4x - x cos 4x)dx

A: The answer is given below:

Q: (2x²9x9)dx x3 x³ - 9x

A: Here we have to do partial fraction and after that integration

Q: Use the following information to answer the next question The angles below are the principal…

A:

Q: 6-Determine the volume of the parallelepiped formed by the vectors U= [2,1,3], v= [1, -4,2] and w=[…

A:

Q: Given the vector function F(t) = (5t, - 3t², − 4t³ + 5) Find the velocity and acceleration vectors…

A:

Q: find maximum and minimum of f(x)= 3x2+15x2-36x+10

A:

Q: 2.) ff exdxdy

A: We will solve the problem.

Q: 1 -dx 1-x²

A:

Q: Solve for y esec(4y²-6y+14) = 3x + 1

A:

Q: A rectangular field is to be fenced off along a river where no fence is needed on the side along the…

A:

Q: Find the arclength of the curve y = (x² − 4)² on [2,4].

A: Given question is asking to find the length of the curve.

Q: Find the area of the largest rectangle that can be inscribed in a circle of radius 20 cm.

A:

Q: Find the determinant of the following elementary matrix by inspection. [0 100 1000 E = 0010 0001…

A:

Q: Find a plane containing the point (6,-7,7) and the line x(t) y(t) z(t) = = = - 2 - 6t - 1 + 5t 5-t

A: Here we have to find the equation of plane

Q: -Q3/As the function f(x,y) = at (-1,2) xy 1 + x² + y² is Continuous

A: Here we have to check the continuity of the function at the given point.

Q: √√3 ल dx 1 + x 2

A: The given integral is 1/(1+x2) limit from sqrt(3) to sqrt(3)/3.

Q: Q6. Verify 02 f exDy Dyx for the function f(x, y) = x² sin2y + y²sin2x

A: A detailed solution is given below.

Q: Solve the integral shown below. So cos¹¹ 3xdx Só 11

A: ∫0π6cos113xdxLet u=3x.=∫0π2cos11u13du=13·∫0π2cos11udu=13·∫0π21-sin2u5cosuduLet…

Q: The sum of two integers is 12. If the sum of 4 times the square of the smaller integer and 8 times…

A:

Q: The power series n=1 0-1≤ x < 5 01≤x≤5 0-1 < x < 5 0-1≤x≤5 (x - 2)" 3n converges if

A:

Q: dy For the following composite function, find an inner function u = g(x) and an outer function y = f…

A: We need to find derivative.

Q: Determine whether the equation is exact. If it is exact, find the solution. If the differential…

A:

Q: Find the Volume: Rotate the region bounded by y = √x, y = 3 and the y-axis about the y-axis

A:

Q: a) 4x²y - 3xy³ + 6x; d) e²x+3y; b) xy; e) x+y x-y c) xy²; f) 3x²y-7x√y.

A:

Q: The height of a certain amusement park ride follows the function h(t) = −³+ 11t² — 32t + 28, where…

A:

Q: Q3- Sketch the region of integration and evaluate the integral: In8 Iny ["C ex+y dxdy

A: Given double integral ∫1ln8∫0lny ex+y dx dy

Q: Let a b de f A = ghi. Assume that det(A) = -11, compute the following. NOTE: Enter all values…

A: Given :A=abcdefghidet(A)=-11

Q: Consider the region bounded by y = ²+1, y = 1, and y-axis. Using the Cylindrical Shell Method, which…

A: The given bounded region is as shown below; Apply the cylindrical shell method to find the volume…

Q: 2. Raya Is making a closed rectangular jewelry box with a square base. She is using two different…

A:

Q: . Find the area bounded by the given curves. y = 9x² and the x - axis.

A: First we find point of intersection of curve y=9-x2 and x-axis. Put y=0, 0=9-x2 x2 =9 x=±3 Therefore…

Q: x(t) Find the point at which the line y(t) z(t) = 6+t -8 5t intersects the plane. 7 + 2t

A: SOLUTION-

Q: The exact value of sec 2√3 3 0-2 2√√3 3 c (55) ₁ is 6 02

A: Use trigonometric coordinate syste

Q: Consider the following matrix. A = [22 -2] How many vectors are in the basis of row(A)?

A: Given: Now,                   30-3222Reduced matrix to reduced row echelon form:=10-1012The rank of…

Q: Find the distance between line 2xy + z = 4.

A:

Q: Question 6 Find two numbers whose sum is "a", if the product of one to the square of the other is to…

A: Using algebraic operation