A population of insects increases at a rate of 220 + 8t + 1.5t² insects per day. Find the insect population after 6 days, assuming that there are 60 insects at t = 0. Round your answer to the nearest whole number. Answer: insects

Q: Find the Maclaurin series for the given function.

A:

Q: Determine whether the infinite geometric series is convergent or divergent. If it is convergent,…

A:

Q: x2 h) lim - x+0 1- cos?2 x tan 7x i) lim X-0 sin 3x sin(x? + 3x + 2) ji) lim x+ 2

A:

Q: Consider a quadratic function f(x) = ax?+ bx + c, where a, b, CER and a # 0. She hat the tangent…

A: f(x)=ax2+bx+climit definition of derivative states that :f'(x) =limh→0f(x+h)-f(x)hf'(x) =limh→0…

Q: Assessment Identify whether the following functions are continuous or not. Write your solutions on a…

A:

Q: Find the length of the curve, L. y² = 64 (x + 1)° , 0 0 L =

A:

Q: Find the second derivative of the function. f(x) = 9(x2 − 1)2

A:

Q: Find the average value of the function LX TEX f (x) =4sin| on the interval [3,6]. COS 4

A: Dear learner, as per our guidelines we can provide the solution for first one only. Kindly post…

Q: The traffic flow rate past a certain point on a highway is q(t) = 1300 + 2300t – 300t² where t is in…

A:

Q: Find the derivative of the function. y = 9 x + 3 y' =

A:

Q: 48.x = 1, y = t², z = t³; (1, 1, 1)

A: This is a problem related to vector calculation. Based on the general formula of plane we will…

Q: Solve the problem. Find the number of units that must be produced and sold in order to yield the…

A: Profit function:P(x)=R(x)-C(x)P(x)=4x-0.01x2+0.6x+40P(x)=3.4x -0.01 x2 -40

Q: To find f(x), let y = (x) and solve for x, y x - 4 Interchange x and y In the expression for X, Find…

A:

Q: Find and classify the critical points of f(r, y) = 2y²x- ya? + 4yx.

A: Here we have to find and classify the critical points of f(x,y) = 2y2x - yx2 +4yx .

Q: Use the simple interest formula to determine the missing value. p= $1475, r=?, t 2 years, i= $41.30…

A:

Q: Find the marginal revenue for producing x units. (The revenue is measured in dollars.) R = 30  10x −…

A: Given that, R = 30(10x − x3⁄2)

Q: The figure below shows f(x) and its local linearization at x = a, y = 5x 2. (The - local…

A:

Q: how would you find y'' for y = tan(x)

A: Solution:  Given that y= tan(x) Now find y'':

Q: Find the gradient vector field of f. f(x, y, z) = x cos(8y/ z)

A:

Q: i) The area of the surface obtained by the rotating the curve y=V 16-x², –1s×s1 about the x-axis is…

A:

Q: 3. S(3Vx + dx 2 (x+3) + C

A: Topic = Integration As per guidelines , At a time only one question can be answered out of different…

Q: 2. Find f(2.6) by interpolating the following table of values. Using Lagrange interpolation. i xi yi…

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

Q: 2. Using partial fractions, show that 4 Σ n² – 1 n=2 converges.

A:

Q: 1) Find the exact length of the polar curve r = 2+2 cos 0. Show All Your Work!

A:

Q: Use the Laplace transform to solve the initial value problem y''+y'−2y=2e3t,y(0)=−1,y'(0)=4 y(t)=

A:

Q: Rewrite the product as a sum or difference. sin(-x) sin(3x)

A: Topic = Trigonometry

Q: Use logarithmic differentiation to find dy/dx. (x + 1)(x - 7 (x - 1)(x + 7) x > 7 Step 1 The given…

A:

Q: Determine the equation of the tangent to fr) = x + x at the point (1, 2). %3D O a) y = 3x - 1 %3D b)…

A:

Q: 4 1 445 Σ 4788 n=2 n+3

A:

Q: 3 ų (Vector Q.2 For the twJo Vectors: A=i-3j-2k B= 31 +5j +7K Find Ahe fallowing O BA Å+2B %3D…

A: Solution of question is written in below steps.

Q: fi(x) 1 A = {fi, f2, f3} c F(R) and f(x) = f:(x) = |x+ 1| PROVE: A is linearly independent. (A L.I.)

A:

Q: f(x) %3D 4x2 + 3 List the x values of the inflection points of f. If there are no inflection points,…

A:

Q: The average rate of change of Ax) = x +x -x-1 over the interval o<xs1 is -2 1 O -1 2

A:

Q: Find Ax) if A1) =-5, and the tangent line at x has slope (3x- 1)e*-2*.

A: The tangent line at x has slope 3x-1e3x2-2x and f1=-e2

Q: Use Properties of Tangents 1. Draw two circles that have no common tangents. | 2. Draw two circles…

A:

Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. 00 2-1)nn…

A:

Q: Item 1. Consider the given: x³ – 4x2 8(7x – 4) (x + 2)4 х(х + 8)(х — 2) f(x) = (x + 2)2 . (x + 2)2…

A:

Q: 4.On which condition is the function differentiable at a point? A) continuous at the given point B)…

A:

Q: Exercise 1. Express the limit as a definite integral on the given interval a) lim T? cosxi Li=1' Ax,…

A:

Q: Find the limit of the sequence if it converges; otherwise indicate divergence. an = (-1)" (- %3D

A:

Q: Find the slope of the graph of the function at the glven polnt. Use the derivative feature of a…

A:

Q: Bookmarks Window Help History ut.blackboard.com Mail - Abigale E... Mail - Abigale E... E 4/16/22 -…

A:

Q: 1 Let D= {x.y)|0sxs2,xsys1. integral x'e"dA= The x2exYdA = // x² sin(y)dA where R = [-1, 1] × [-2,…

A:

Q: QUESTION 1 A student has received the following marks Test No 1 Test No. 2 57 9% Test No. 3 Test No…

A: Explained below

Q: Determine the area, in square units, of the region bounded above by f(x)=−8x3−3x2+3 and below by…

A:

Q: 2. Use the Mean Value Theorem to show that f(x) = 2x sinh(x – 1) + 2* – x has a critical number…

A: Find your answer below

Q: By about how much will f(x.y.z) = In /x +y +z change if the point P(x.y.z) moves from Po(6,1,3) a…

A:

Q: a)Find the average of the function f(x)= x² +1 on the interval [-1,2] Answer:

A:

Q: I. Evaluate the following. 3450°-j12 a. 14 + j2 – -j15 (3450°-j12) b. j2 x 32-25° -j15 5-j2…

A:

Q: cot(x) – 1 lim 4

A: