4 Find the limit lim 3 Enter I for oo, -I for -o, and DNE if the limit does not exist. Answer:

Q: Determine the extreme values of the ff. functions. f(x) = x^3 -5x^2-8x on [-2,5] f(x) = x^2 + 3 on…

A:

Q: In each of the following, find lim r (t) if it exists: sin 7t 1– cos 2t 1. T (t) tant î - t t t 2.…

A:

Q: (d) 2. +2 = 0 (e) In enz – 1ln r - 4 = In 3 |

A:

Q: Determine constants A and B such that the given piecewise function is continuous for all x. -4 if x…

A: Explanation of the answer is as follows

Q: V4x – 7y – 4 Find lim by rewriting the fraction first. 4х -7у - 16 (ху) ->(4,0) 4x - 7y + 16

A:

Q: In the recent "Asian War" in the South China Sea, the allied forces captured 6,400 of China's…

A:

Q: The population size x(t) in the logistic equation dx x(1 – 0.5x) dt is evaluated from the equation…

A:

Q: dx V5+4x-x² 5.

A: Explanation of the answer is as follows

Q: Consider the model of Newton's law of cooling and warming given by: dT 40 -T T(0) = To. dt 4. The…

A: This question can be solved using the concept of solution of differential equation.

Q: A rancher wants to fence in an area of 2,000,000 square feet in a rectangular field and then divide…

A: see below the answer and calculation

Q: A boat takes 2/3 as much time to travel downstream from C to D, as to return, If the rate of the…

A: A boat takes 2/3 as much time to travel downstream from C to D, as to return. If the rate of the…

Q: Find a function y = ax? + bx +c whose graph has an x-intercept of 1, a y-intercept of –3, and a…

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: Find the second-order partial derivatives of the function. Show that the mixed partial derivatives…

A:

Q: Consider the table below for lim (f(n). f (n) 510.5 1022 510.9 5110 510.99 51100 510.999 511000 Step…

A: Find your answer below

Q: 9. Given y = Vx – 2/x – 2; Find y'. | Vz-2–1 2/ (z-2)(z–2/z–2) O (E) None of the choices 1-VI-2 5…

A: Given problems:- 9.  y=√(x-2√(x-2))  To find :- y'  10. Find the slope of the line that is tangent…

Q: Compute the general term an of the series with the partial sum Sn = 2 n + 2 , п> 0. 2" %3| - An =

A:

Q: Curve sketching show all work f(x) = sin(x)cos(x) on [-pi, pi]

A: Solution is given below:

Q: Let A and B be nonzero vectors. Find k e R such that A – kB is orthogonal to A + B.

A: We know if a vector P→ is orthogonal to another vector Q→ then scalar product (dot product) is zero.…

Q: Find the break-even point(s) for the revenue and cost functions below. Separate multiple answers…

A:

Q: Finding the Volume of a Solid In Exercises 29 and 30, use the disk method or the shell method to…

A:

Q: (tan'x de 3 1. [cse* xdx 4 2. csc"xdx 3. |tan 3x sec 3xdx

A:

Q: Find the first partial derivatives of the function. x9 - y5 f(x, y) = x + y fy =

A: The objective is to find the partial derivatives of the function.

Q: Find the center of the circle x ^ 2 + y ^ 2 - 6x + 4y - 23 = 0

A: find the center of circle if it is helpful, please thumbs up or appericiate.

Q: Suppose H (x) = V4x-8. Find two functions fand g such that (fog)(x) = H (x). Neither function can be…

A:

Q: The area of a spherical triangle ABC whose parts are A-93 40¹, B-64° 12, C=116° 51' and the radius…

A:

Q: Calculate the derivative. (Use symbolic notation and fractions where needed.) d 7 cot (u) du = do

A:

Q: s [5xt° 1 7 + 1-9х 13) dx e6x+5 + 4 sin(8x + - - - 5 2 Vx3

A:

Q: Evaluate (2х — у) dx + (х + 3у) dy. Jc C: arc on y = x>1² from (0, 0) to (4, 8)

A:

Q: The differential equation d y 3x4 2- (3 In x)y = - dx2 is a Bernoulli's equation. Select one: O True…

A:

Q: 4 Consider the function f(x) = ex Where are the discontinuities located? - e-x (If there are…

A:

Q: 2.) y' 2y =y"; y= 3 when x=0

A: Given differential equation y' -2y=y2

Q: A rancher wants to fence in an area of 2,000,000 square feet in a rectangular field and then divide…

A:

Q: Find the length of the curve y = In (4 sin x) from 7sxS5. The arc length of the curve is (Type an…

A:

Q: The logistic equation d = P(a – bP), Р(а — a > 0, b > 0, is dt Select one: O None of them nonlinear…

A: We have to find if the equation is linear or separable or not.

Q: Evaluate the integral using the Fundamental Theorem of Calculus, Part I. (Use symbolic notation and…

A:

Q: Find the vector component of v = (4, –1,7) along b = (3, 6, –6) and the vector component of v…

A: Given: v=4,-1,7 & b=3,6,-6   As we know that the expression; The vector component of v along to…

Q: Consider the transfer function: Y(s) s+2V3 H(s) X(s) s2+2s+8 What will be the stationary response…

A:

Q: The population, P(t), of a town increases as the equation P(t) = 32e. What is the value of k if the…

A:

Q: What is the area of the region between the graps y = x – 1 and line y = -x – 1

A:

Q: 1. Find the Gradient of the following F = x*e" - y': b. F, = 4x - 3y + 5=? а.

A:

Q: Evaluate the integrals for f(x) shown in the figure below. The two parts of the graph are semicircle…

A:

Q: For the function o graphed in the accompanying figure, find lim p(x). y = 6(x)

A: Limit using graph

Q: 3.) Y + y = x" ן1

A:

Q: (a) Oppositely directed to v = (19, –14) and half the length of v. -19 V557 1. w = 2

A: Given ,v=19i-14j+0kAim)  find Oppositely directed to v and half the length of v.Therefore…

Q: Question 2 , I Consider the following Initial Value Problem -y - y' = 2x – 1, y(4) = 2. a) {…

A: Solving by eular method

Q: Finding the Area of a Region In Exercises 5–14, sketch the region bounded by the graphs of the…

A: Question- In Exercises 5-14, sketch the region bounded by the graphs of the equations and find the…

Q: I. Represent the following equations in R? by a vector-valued/parametric equations: 1. y = mx + b 2.…

A:

Q: The graph of a function h is shown below. Find h(-2) and find one value of x for which h(x) = -1.…

A: h(-2) =3 h(0) =-1

Q: The base of a prism is a hexagon inscribed in a circle. If the difference in the circumference of…

A: Let's find.

Q: Evaluate the iterated integral. (Use symbolic notation and fractions where needed.) y dx dy =

A: