-5 1 10 5 10 --5 --10- E -15 -20- (2,-10) (5, -19) 5 The Instantaneous rate of change at x=2 is (8, -19) 10 The line used to find the instantaneous rate of change at x=2 is the (18,6) 15 (13, -19) line. (red, blue, or green) 20

Q: 51. lim x³ = 1. x→1

A: To give an  proof for the following statement.

Q: Assume f(3) = 0, f'(3) = 6, g(3) = 1, and g'(3) = 3 f(x) g(x)* Find h'(3) given h(x) = A. -2 B. 2/2…

A: Given,

Q: 23. Let f(x, y) = xy² and let x(s, t) = t² ln(s) and y(s, t) = = s-t Compute of woivos Əs (s,…

A:

Q: 2 √₁²x²3x dx

A:

Q: It is now July 1, and online sales of romance, science fiction, and horror novels at OHaganBooks.com…

A: The objective of the question is to determine when OHaganBooks.com will run out of Romance novels at…

Q: 27) Evaluate the limit, if it exists. If it does not exist enter DNE. lim(1+x)¹/x x→0 28) Evaluate…

A:

Q: Find and classify the critical points of z = Local maximums: Local minimums: Saddle points: c) (y…

A:

Q: Solve the given linear system using Cramer's rule. [4 21 (31-0 15 31

A: given system of equation

Q: Solve the initial value problem y(t) = Submit Question dy Y dt t+1 = + 4t² + 4t, y(1) = 8

A: since you have posted multiple question in this question which are not interlinked so i have solved…

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A:

Q: Approximate the definite integral using the right hand sum with n=3 (three subdivisions) 5 -1 x² dx

A: To approximate the following definite integral by using the right hand sum with  (three…

Q: 13 √x Find the total cost of the first 81 units (of increasing production from x=0 to x=81) A…

A:

Q: What is the coefficient of z in (+2x)"? Hint: Use the Binomial Theorem.

A:

Q: bok out $17000 in student loans. The loans are to be repaid over 10 years at a rate of 4.25%. Assume…

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Q: The function f(x) = √16 - 2x is continuous on the interval [0, 8]. Which number is its average value…

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Q: Use the Laws of logarithms to rewrite the expression logs (2³ Vy¹¹) in a form with no logarithm of a…

A:

Q: -3 If A = [¯ 1¹ ²], B = [~ 3³ 2], and C = =[2], find 4 21 A²+ BC.

A:

Q: For what value of a is the following function continuous at every x? a²x+8a, x≥2 10, X<2 f(x) =…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.4 cm/min.…

A: Given a spherical snowball is melting in such a way that its radius is decreasing at a rate of…

Q: 3- 2- 1 -4 -3 -2 -10 -1- -2- 1 2 3 4 5 Graph of g 6 7 8 3. The function g is defined on the closed…

A:

Q: Find the volume of the solid that is bounded below the sphere x2 + y² + z² = 8 and above the cone…

A: Solid is bounded below the sphere x2+y2+z2=8 and above the cone z=x2+y2.Using spherical…

Q: 33. Set f(x) = [x²+1, 3-x, 0≤ x ≤ 1 1<x ≤ 3.

A: To find the the area between the graph of  and the -axis.

Q: Given: (x is number of items) Demand function: d(x) = 400 -0.4x Supply function: s(x) = 0.4x

A: Demand function: d(x)=400−0.4xSupply function: s(x)=0.4x

Q: Write the first five terms of the sequence with the given nth term. an = 6n а1 а2 аз ад a5 = = = = =…

A: The given nth term of sequence

Q: Solve the differential equation. dy dx =x√y for y # 0

A:

Q: You are designing a container that is a right circular cylinder with a volume of 1000 cubic…

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Q: Find the domain. f(x)=2/1-x^2 Group of answer choices (-infinity, -1) U (-1, 1) U (1, infinity)…

A: The objective of this question is to find the domain of the function f(x) = 2 / (1 - x^2). The…

Q: The traffic flow rate (cars per hour) across an intersection is r(t) = 200+700t - 90t, where t is in…

A: r(t)=200+700t−90t2,Where t is in hours, and t=0 is 6 am.At 9am, t=3

Q: X 1 2 3 4 5 y 12 -2 -3 -4 -5 -5 3 4 5 -4 -5 -5 -6 -6 -7 -8 -6-7-8-9-10 -8 -9 -10 -11 -12…

A: x∖y123451−2−3−4−5−62−4−5−6−7−83−6−7−8−9−104−8−9−10−11−125−10−11−12−13−14

Q: Find the eigenvalues and eigenvectors of the given matrix [ 1    0    0 ] [ -6   8    2 ] [ 12 -15…

A:

Q: 2) The formula for curvature for a function y = f(x) is given by [ƒ"(x)| (1+(ƒ'(x))²)² a) Using this…

A: The given formula of curvature

Q: Let f (x) = ln (x² f'(x) = - 14x + 58)

A: Given,

Q: True or False, and explain why showing all steps. The function f (x,y) = x2 + y2 has a global…

A:

Q: Find the area of the region pictured below that is bounded by the functions u(y) = y − 1 and v(y) =…

A: To find the area of the region bounded by the curves, .

Q: Question 4.3. Let R be the region under f(x) = 5 over the interval [0,2] and let S be the solid…

A: Let R be the region under  over the interval  and let S be the solid  generated by rotating R about…

Q: Let f be a differentiable function such that f f(x) sec² x dx = f(x) tan x-f3x² tan x dx . Which of…

A: Consider

Q: A lim x+1+x-1 is A. 1 B. 2 C. 88 D. 00

A: limit

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A: The objective of this question is to find the profit from selling one more unit when 8 units are…

Q: Consider the following parametric curve. Use the information to answer parts (a) and (b). R x= cost,…

A: Consider the parametric curve

Q: Compare the graphs of y=f(x) and y= f(2x): A) y=f(x) is reflected in the y-axis  B) y=f(x) is…

A: To compare the graphs of .

Q: 24) Evaluate the limit, if it exists. If it does not exist enter DNE. x²-3x² + x lim x-00 x³x+2

A: (24) L=limx→∞x4−3x2+xx3−x+2

Q: The graph of the function g on the closed interval [0, 9] consists of four line segments, as shown…

A: The graph of the function g is shown as,Let,f be the function defined by

Q: Solve the logarithmic equations: A) log₁0(x + 6) + log₁0(x − 3) = 1 B) In (2x+3) - In(x − 1) = 0

A:

Q: 3) Find parametric equations for the line through the point (0, 1, 2) that is perpendicular to the…

A: We find the parametric equations for the line through the point (0, 1, 2) that is perpendicular to…

Q: -15- -20- (5, -19) (8,-19) The line used to find the instantaneous rate of change at x=8 is the The…

A:

Q: Which step is part of finding the derivative of the function below? The correct choice may not be in…

A:

Q: Use the disk method or the shell method to find the volumes of the solids generated by revolving the…

A: Since part a,b,c are already answered correctly, i solved part d

Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 25 + x² -…

A:

Q: Solve the system: x'1=2x2 x'2=-2x1

A: Solve the system:x'1 = 2x2x'2 = -2x1

Q: Find the length of the cardioid r= 2-2 cos 0. The length of the cardioid is (Simplify your answer.)

A: