Total cost. A total-cost function is given by C(x)=2000(x2+2)1/3+700 where C(x) is the total cost, in thousands of dollars, of producing x airplanes. Find the rate at which total cost is changing when 20 airplanes have been produced.

Q: A - Use method of partial fractions to evaluate: ∫ f(X)dx, where f(x)= (3x^2-5x-18)/(x^3+2x^2).  B-…

A:

Q: If y=In (2-3x²) + 4e - 3x +9x, then f'(x) = 6x 2-3x² - 12 3.x e +9

A:

Q: Consider the following. x = sin(6t), y = -cos(6t), z = 12t, (0, 1, 2) Find the equation of the…

A:

Q: If f(x) = 8x², find: f(4+h)-f(4):

A:

Q: A spherical balloon with radius r has volume V (r) = r ³. The function that represents the amount of…

A: see below the answer and calculation

Q: Let f(x)=√x+1 Find and simplify the difference quotient: ○ (x + 1)² 1 2√x+1 1 √x+1+√a+1 1 2√x+1…

A:

Q: 5) The equations r² + y²s + yt² - 13 and y² + x²s + rt² = 9 define s and t as implicit Əs functions…

A:

Q: how do we know when to use a trig subsitution?

A: how do we know when to use a trig subsitution?

Q: QUESTION 2 1 1 Express as a single logarithm:In([x+ 2]³) + — In(x) − − In([x² + 3x + 2]³²) - 3 2 2…

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

Q: A ladder 10 meters long is leaning against the wall of a house. The base of the ladder is pulled…

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

Q: PERIMETER A right triangle has one leg twice as long as the other. Find a function that models its…

A: Topic- Perimeter of triangle. we are given that Length of a right triangle has one leg twice as long…

Q: Set up but do not evaluate the integral to find the length of the arc of the curvey = x = 5 to x =…

A:

Q: Find the derivative of the vector function r(t) = tax (b + tc), where a = (5,-1, 3), b = (-1,-5, 3),…

A:

Q: choose the correct answer For a sequence with recursive rule given below, what value represents the…

A:

Q: The left, right, trapezoidal, and midpoint rule approximations were used to estimate same number of…

A: We need to fill the box.

Q: Find the limit of lim ∞++x 5x+1 36x2. lim ∞++x 52+1 36x²1

A:

Q: Evaluate the integral. 56 So ex Jo 8x² + 9x + 1 1 dx

A:

Q: Sketch the region that corresponds to the given inequalities, say whether the region is bounded or…

A: The given inequalities are:- 30x+20y>=600 10x+40y>=400 20x+30y>=600 x>=0, y>=0

Q: Find the limit of lim x(√64x²5 ∞0++* √64x²14) = = lim x(√64x²5 -5-√√64x²-14) ∞0++x

A: limx→∞x64x2-5-64x2-14

Q: ity before taking limits. 33. f(x)=x²+1

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

Q: Given the graph f(x) = || shift the two movable dots to display the following function:…

A: The graph of f(x) = |x| is given as

Q: c.i. 14-20 21-27 28-34 35-41 42-48 49-55 56-62 f 12 9 15 8 10 7 6

A:

Q: Choose the correct answer Solve for the median of the given FDT (photo attached) a. 33.33 b. 37.05…

A:

Q: Let f(x) = 8 ● e. Find f'(x)

A: Given, f(x)=8x·ex

Q: 119. [T] y = 2√x+1 at (4, 5)

A:

Q: Find the local minimum of the function f(x), which is given in the graph below. -8 Provide your…

A: Solution

Q: 9. 5 ( 47--1) dy

A: We know that ∫yn dy = yn+1n+1 +c   ; when n≠(-1) If n=(-1) then  ∫1y dy = ln(y) +c      , (Here c is…

Q: Evaluate the following expressions (note, you may not leave your answer as an algebraic expression)…

A: We use Logarithmic properties1. alogax=x2. lnmn=nlnm3. logaa=1

Q: Question Find the points at which the following function is discontinuous. f(x) = 5x+4 -3x²-2 -7x² +…

A:

Q: the cost (in dollars) of producing x units of a certain commodity is c(x)=100+50x-0.02x^2 (a) Find…

A: Given, the cost function C(x)=100+50x-0.02x2 a) The average rate of change of the function from…

Q: An isosceles triangle is inscribed in a semicircle, as shown in the diagram, and it continues to be…

A:

Q: (b) -6 -4 -2 y 4 2 -2 2 4 6 x ①

A:

Q: positive

A: We have to discuss about continuity of the given function

Q: Calculate two iterations of Newton's Method to approximate a zero of the function using the given…

A: To approximate the zero of the given function using Newton's Method

Q: lim h0 lim b-00 ((x + h) - x² h √x + h - vx X h

A: Please see the below picture for detailed solution.

Q: Find the local maximum of the function f(x), which is given in the graph below. 4 -3 Give your…

A: find the local maximum of the function from the given graph.

Q: Shown is a graph of g(x). Sketch a graph of g(x + 2). 5 4

A: The given graph of g(x) is shown:

Q: Suppose that f(x) = 3x² - 4x + 4 and Find the following: 1. (fog) (6) = Number 2. (fog)(0) = Number…

A:

Q: Find the limit of lim ∞0++x sin 10x lim x+∞0 sin 10x x

A:

Q: Write the equation of the line that passes through the given point and has the given slope. (-3, 3)…

A: Given the slope is undefined.

Q: Given the function f(x) = x² − 3x and g(x) = 2x + 1, find__[ƒ(x) • g(x)]. © y' = 6x² + 10x – 3 y' =…

A:

Q: 1. Obtain the general solution of the given DE: (t² + 7st + 16s²)ds = −s²dt. The DE is homogenous…

A:

Q: Using the Inverse of a Matrix In Exercises 19-26, use an inverse matrix to solve each system of…

A: Given 3x1+2x2=1 x1+4x2=-3

Q: Determine whether the graph represents y as a function of x. Explain your answer. (a) -2 y 4 2 4…

A:

Q: Consider the function ab a b |a| g(x) = TT a sin²(x)+1 kx+1 2x+1 a) What is the condition on a in…

A:

Q: Question Find the average rate of change of the function f(x) = x² - 8x + 22 on the interval [3, t].…

A: Concept: The average rate of change of the function f(x) at the interval [a, b] A(x)=f(b)-f(a)b-a

Q: The slope of the curve y² = 5x-1 at the point P(1, 2). 54 b. a. c. ²/7 d.

A:

Q: If y= X 1-x +7x+9, find y' .

A:

Q: Suppose that f(4)=2, g(4)=5,f'(4)=6 and g'(4)=- 3 Find derivative h'(4) in (a) -(d) (a)…

A:

Q: The population of deer in a forest can be modeled by: P(x) = (630x +2960) / (3x+8) x is the number…

A: The population of deer in a forest can be modeled by: P(x) = (630x +2960) / (3x+8) x is the number…