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Q: Maximizing Profits An apartment complex has 100 two-bedroom units. The monthly profit (in dollars)…

A: The given function is p(x)=-10x2+1780x-48,000.

Q: Consider the following. w = xy² + x²z+ y2², x= t², y = 3t, Z = 3 (a) Find dw/dt using the…

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Q: Find the volume of the tetrahedron shown using the order dz dx dy. The tetrahedron is bounded by the…

A: As per our guidelines we are supposed to answer only one question.kindly repost others question as a…

Q: Find aw/as and aw/ot using the appropriate Chain Rule. Values Function w = y³ - 3x²y x = e³, y = et…

A: Given:- w=y3-3x2y, x=es,y=et

Q: Find the accumulated present value of an investment over a 10 year period if there is a continuous…

A: Given R(t)= 12000 K=1.3% T=10 years.

Q: 2п ㅠ 3'2 or decimals to at least one decimal place. (x, y, z) = Convert the point (p, 0, 4) = ( 6,…

A: given (p,θ,φ)=(6,2π3,π2)in caetesian coordinates x=psin(φ)cos(θ)y=psin(φ)sin(θ)z=pcos(φ)

Q: State the domain for the radical function 0 -5 O (-5,00) O (5,00) O (-00, 5] O [-5,00) 5 0 -5 -10l 5

A: Given query is to find the domain of the function.

Q: Given: (x is number of items) Demand function: d(x) = 3888 √x Supply function: s(x) = 3√x Find the…

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Q: The supply function for a commodity is p = 5ex/3. What is the price when 15 units are sold? (Round…

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Q: 2. Find the power series expression for f (x) b.f (x) = xe a.f(x)=e*

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Q: It was discovered that after t years a certain population of wild animals will increase at a rate of…

A: Given :   for Increase during the first 7 years after the rate was discovered, we integrate the rate…

Q: Given f(x, y) = -5x³ + xy³ – 4y², find fiz(x, y) = fry(x, y) =

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Q: Given f(x)=√2-x.where x ≤ 2, and g(x)= x2 + 1, find (gof)(x). O X-3 O√3-x³ O √1-x¹ O 3-x

A: Given function:- fx=2-x and gx=x2+1

Q: 17. A man of height 1.8 m walks away from a 5-m lamppost at a speed of 1.2 m/s (Figure 10). Find the…

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Q: Find the scalar and vector projection of the vector b = (-4,2, -3) onto the vector a = (5, -5, -3).…

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Q: A house was valued at $125,000 in the year 1995. The value appreciated to $175,000 by the year 2000.…

A: Let t = 0 for 1995 Given population in 1995 = 125000population in 2000 = 175000

Q: Find the function. Find the function that is finally graphed after the following transformations are…

A: Given parent function:- y=x

Q: Find y' if y = In(9x² + 5y²). y' = X

A: The given data is: y=ln(9x2+5y2)  Find y'

Q: 28. 239Pu 24,100 0.4 g

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Q: QUESTION 1 Find the solution to the given differential equation. "+8y'+ 16y=0 ✓3y" + 2y'+y=0 y"-4y"…

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Q: dy = y = cos(x) (b) Evaluate dy for the given values of x and dx. (Round your answer to three…

A: differentiate function

Q: The position function of a particle is given by F(t) = (3t², lt, t² – 1t). At what time is the speed…

A: Given position vector:- ⇒r→t=3t2,1t,t2-1t

Q: Find the Tangent vector, the Normal vector, and the Binormal vector (T, N and B) for the curve r(t)…

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Q: n lim n18 n²+ 13 (Give an exact answer. Use symbolic notation and fractions where needed. Enter DNE…

A: Given :limn→∞nn2+13

Q: Several unit vectors r, s, t, u, ñ, and e in the xy-plane (not three-dimensional space) are shown in…

A: Solution: Definition of dot product: e.s = |e|*|s|*cos(theta),

Q: A population numbers 19,000 organisms initially and grows by 8.5% each year. Suppose P represents…

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Q: Question 3 A set of n functions f (x), ƒ₂(x), ..., f (x) is. O linearly dependent. O linearly…

A: The given definition is of linearly dependent or linearly independent.

Q: 1 4) Find tangent and normal lines to y=- at the point when x = 2. Write answers in X the…

A: Given equation:- y=1x

Q: Suppose that the position of a particle is given by s = f(t) = 6t³+3t+ 9. (a) Find the velocity at…

A: Given;  s=f(t)=6t3+3t+9.

Q: Indicate whether the given series converges or diverges, if it is converges find its sum. -k-2 6. Σ…

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Q: A bank features a savings account that has an annual percentage rate of r 2.7% with interest…

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Q: By using the Fundamental Theorem of Calculus, the integration is equal to: In 3 Look In2 e dx O a. e…

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Q: a) n=1 n 2² +1' (E

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 5,-3,8 Givenu = ,8) Leave your answer as an exact value in simplest form. = (k, 2, 4) calculate k…

A: Given query is to find the value of k.

Q: The graph of y=f(x) is shown below. The number of invariant points when y = f(x) is mapped to y =…

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Q: 2 y = The area of the region lying under the curve of -x² + 4 and above the x-axis over the interval…

A: the correct option is option C- underestimate.  The details solution of the given question is given…

Q: What is the period of f(x) = sec x? Enter your answer in the box. period of f(x) = sec x:

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Q: a. x" ¡(n − 1)! 87

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

Q: The distance of a swinging pendulum from its resting position is given by the function d(t)=…

A: d(t)=3.5cos(5t)we know the maximum value of cos fuction is 1

Q: When a transistor radio is switched off the current I (in milliseconds) falls away according to the…

A: The differential equation governing the current I in the transistor radio is given by: dI/dt = -0.4I…

Q: Find the absolute maximum of f(x)=x^3-3x+2 on the interval [0, 2]. A) 0 B) 1…

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Q: 16: St So STAG 54-9x² dx

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Q: Consider the solid that lies above in the square (in the xy-plane) R = [0,2] x [0,2]  and below the…

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Q: A manufacturer has determined that the marginal profit from the production and sale of x ice cream…

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Q: Suppose (1, 1) is a critical point of a function f with continuous second derivatives. In each case,…

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Q: 3. Find the terms up to x4 in the Maclaurin series for f(x) f(x) = e* sin x f(x)=e* +x+ sinx

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Q: 2. Find the convergence set for the given power series C. x+2²x² +3²x³ +4²x* +... (x+2)² (x+2)³…

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Q: The following function is linear. y = 2 x o True False

A: Given query is to find statement is true or false.

Q: Find the following expressions if a = 3i - 5k, b = i+j3k, and c = 4i + 5j + 3k. 1. a.b: 2. a. c = 3.…

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Q: Identify the function. √4-x O The function is not linear, quadratic, or cubic. O Linear O Cubic O…

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