Suppose that the marginal propensity to consume is dc 0.5 -2y (in billions of dollars) dy and that consumption is $5.55 billion when disposable income is $0. Find the national consumption function. C(y) =

Q: 78. Apparent discrepancy Resolve the apparent discrepancy 1 (x − 1)²|x + 2| between In dx x(x − 1)(x…

A:

Q: = = 80 minutes, the bacterial The doubling period of a bacterial population is 10 minutes. At time t…

A: Initial population:312.5 Size of bacteria after 3 hours: 81920000Explanation:

Q: Let W (s, t) = F(u(s, t), v(s, t)) where W,(1,0) = = Wt(1,0) = u(1,0) = 5, u, (1, 0) = 5, ut(1, 0) =…

A: Let where To find .

Q: Find the center of mass of a laminate bounded by y=−x,y=x,y=2 with variable density modeled by \rho…

A: The objective of this question is to find the center of mass of a laminate with variable density.…

Q: Suppose that f(x) = (x + 2)(x - 2)². (a) Find all critical values of f(x). (Enter your answers as a…

A:

Q: O O O f 1. Translate the expression lim παπΔ..-10 an integral. (8 cos x) dx [₁(8 cons² z) dz x) dx…

A:

Q: X y = y 77 225 471 877 3 1480 1.5 2 2.5 Paste the table into Desmos and fit the requested type of…

A: (a). Exponential function: The exponential function that best fits the data is :…

Q: At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pounds of…

A: z is the weekly number of pounds of acetate fiber.x is the number of skilled workers at the plant.y…

Q: 3) Calculate by means of the logarithm: a) x¹+2log x= 100.x log x b) log(x+2)+log(x-7) = 2.log (x-4)…

A:

Q: To find the height of a tree, a person walks to a point 30 feet from the base of the tree. She…

A:

Q: Please solve

A: limx→∞​6x2−8x+12x2+2x​=31​See the attachment below for a detailed explanation.Explanation:Step…

Q: what does f'(m) = ?

A: f'(m) represents the derivative of the function f(m).f'(m)=

Q: Question 6 (1 point) D11 The following data was collected for the braking distance of an automobile…

A: The objective of this question is to find the speed of the automobile when the braking distance is…

Q: Find the area under the curve of the following function f(x) = 7x³ on the interval [2, 6].

A: Given a function,f(x)=7x3To find: The area under the curve on the interval [2,6]

Q: C. Slx²-√x|dx. d. (sin 4x)6 (cos 4x) dx

A:

Q: Cost, revenue, and profit are in dollars and x is the number of units. If the marginal cost for a…

A:

Q: Cost, revenue, and profit are in dollars and x is the number of units. If the daily marginal cost…

A: Given:marginal cost for a product fixed cost = $700To find:Total cost functionAs we know- MC is the…

Q: H 2 f(x) f'(x) g(x) g'(x) 4 (A) -28 (B) -12 3 (C) 28 (D) nonexistent 2 Selected values of the…

A: Given: To Find: To evaluate the following limit.

Q: Suppose the concentration C(t) of a drug in the blood stream after t hours was modeled by the…

A:

Q: Let f(x) = 10x + (a) Find the interval(s) where f(x) is increasing. (Enter your answer using…

A:

Q: ilf find f'(x). Answer f(x) = 3 sin x 1 + cos a

A:

Q: Зп 4 6п Зп 8 П 4. Find Ax in the Riemann Sum k=1 Зп f(x1)∆x on the interval |0, 0,3 2 using 4…

A: The Riemann sum  is given on the interval .

Q: Consider approximations to the gradient of the curve y = e* at the point where x = (a) What is the…

A:

Q: the image number 2 is broken i cant see it pls re answer with proper pics thank you

A: Poiseuille's lawExplanation:Step 1:Step 2: Step 3: Step 4:

Q: (SHORT BO Find the slope and equation the graph of the equation at a given point. Show the graph of…

A: The given equation function  The equation of the tangent line at point  with slope  is

Q: Find the tangent vector for the position vector r(t)=ln(1-t)i+(t-t^3)j+e^-3t k

A: Explanation of the answer is as follows

Q: Determine if the improper integral is convergent or divergent, and calculate its value if it is…

A:

Q: K B + R G abe, If all the graphs above have equations with form y = Which graph has the largest…

A: explained in detail.Explanation:Step 1: 1) Blue line is more curved (Growing). So, the graph Blue(B)…

Q: □ 28 -28 -8 8 | f(x) dx = 18. -2 8 3 5. Find [ f(2) ke 11 [ f(x) 6 f(x)dæ if dx = 10 and = -2

A:

Q: f(t) = 2t2⁄3 + t5⁄3. Find the interval(s) where  f(t)  is increasing and Find the interval(s) where…

A: interval of increase (-inf, -4/5)U(0, inf)interval of decrease (-4/5 , 0)Explanation:hope it helps…

Q: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

A:

Q: Consider the parametric curve r(t) = (t³, -t²). Determine which of the following graphs is the…

A:

Q: Let f(x) = 2(x-7)2/3 + 8. (a) Find the interval(s) where f(x) is increasing. (Enter your answer…

A: Let (a) To find the intervals of increasing.(b) To find the intervals of decreasing.(c) To find the…

Q: 5. Find the general solution of the difference equation Yn+22Yn+1+Yn = 6n.

A: General solution of the given difference equation is:Explanation:To find the general solution of the…

Q: 4. Simplify the expression so that the result is not complex and does not have negative. exponents…

A: The Expression is as follows

Q: The equation defines an ellipse with center ( 9x² 18x + 4y² + 8y = 23 - and the minor axis has…

A:

Q: In a survey of 270 college students, it is found that 64 like brussels sprouts, 94 like broccoli, 58…

A:

Q: A bacteria colony increases in size at a rate of 4.0568e1.5t bacteria per hour. If the initial…

A: A bacteria colony increases in size at a rate of  bacteria per hour.If the initial population is 42…

Q: Evaluate the integral. (Use C for the constant of integration.) /in(x + √x² =o) dx 6

A:

Q: 4. Solve the difference equation Yn+25Yn+1 +4yn = n² with initial conditions y(0) = 2, y(1) = -1.

A: Please check it explanation section answer is in square box.Explanation:If you have any problem let…

Q: let f(x) = (x-3)^-2. find all values of c in (1, 7) such that f(7)-f(1) = f1(c)(7-1)

A: There is no number c in (1,7) such that  f(7) - f(1) = f'(c) (7 - 1)    If you face any problem in…

Q: Assume that f'(4)= -9, g'(3)= 9(3)=4, and y=f(g(x)). What is y' at x=3? Atx=3, y'= (Simplify your…

A:

Q: #3: Solve the initial value problem y"-4y - 12y = 0, y(0) = 1, y'(0) = -1

A: y"-4y'-12y=0y(0)=1, y'(0)=-1

Q: Let k be a number that satifies the Mean Value Theorem for f (z) on the interval 1 ≤ z ≤ 6. What is…

A:

Q: ints Find the general solution to the equation in implicit form dy 1 dx yey+x =

A: The given differential equation is

Q: Use a table of integrals to find the indefinite integral. (Remember to use absolute values where…

A: To solve the indefinite integralx^2sqrt(95+25x^2)

Q: Calculus 2 Let A E RNXN be a symmetric, positive definite matrix and b E RN a vector. If x ERN,…

A: The integral Z(A, b) as a function of A and b is given by: Z(A,b)=e21​bTA−1b(2Π)Ndet(A−1)​ This…

Q: #3: Find the maximum of f(x, y) = 19 ln(18x6y6) + 43 subject to x² + y² = 25, x > 0, y > 0.

A:

Q: ㅠ . Find the unit tangent vector for the vector function r(t) = (t², 2 sint, 2 cost) at t = 3

A:

Q: No hand written responses. I need help with a step-by-step breakdown in laymen terms for the below…

A: The estimated change in area is 515.22 mm2 (rounded to two decimal places).Explanation:We find the…