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Q: Find a formula for the exponential function passing through the points and (3,24)

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Q: 1 A 3 2 1 To find the blue shaded area above, we would calculate: [ f(x) dx Where: a = f(x) = area =…

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Q: Evaluate the limit lim t-0 ((² (+5) từ ý t Enter your answer in i, j, k form. In(t + 5) t-3 Submit…

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Q: In the xy-plane, the graph y=x^2+bx+c, where b and c are constants, has x-intercepts at x=-2 and…

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Q: A company determined that the marginal cost, C'(x) of producing the xth unit of a product given by…

A: A company determined that the marginal cost, C'x of producing the  xth unit of a product is given by…

Q: 9. (a) A plane contains the point (1, -2,7), it is parallel to the y-axis and the x-slope is -5.…

A: Please see the below picture for detailed solution.

Q: An application of infinite geometric series: The government has decided to give a $1,000 tax rebate…

A: Rebate = $1000 80% of it is spent and is then in the economy to be spent.    infinite geometric…

Q: The diameter of a tree is increasing at a constant rate of 3 millimeters every 2 years. If this rate…

A: Let diameter of tree=d mm

Q: The weekly average costs, in dollars, of the We-Are-Drones is given by C x +53 + where 15 where a…

A: Given average cost function:- C¯=110x+53+x15

Q: Given f(x, y) = sin(x + y) where z = s³t³, y = 3s-5t. Find f.(z(s, t), y(s, t)) = fiz(s, t), y(s,…

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Q: An open-top box is made by cutting squares from the corners of a piece of tin and folding up the…

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Q: Find g[f(-2)]. f(x)=x² +4; g(x)=4x-1 g[f(-2)] = (Simplify your answer.)

A: Given: f(x)=x2+4; g(x)=4x-1

Q: ∞ 3" Σ n=12" + n

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Q: 20. A farmer has 6000 m of fencing and wants to create a rectangular field subdivided into four…

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Q: Use the laws of logarithms to expand and simplify the expression. ln (e^x/(1 + e^x))

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Q: 3. Given two vectors x = [0, 1, 1] and y= [-3, 0, 0], they are orthogonal. use your knowledge of…

A: Given vectors:- x→=0,1,1 and y→=-3,0,0

Q: Find the inverse of the matrix As 0.01 10

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Q: The graph of f(x) is shown (see figure). 7x f(x)= (a) Find the following limits. L= lim f(x) = X→ 00…

A: Given: The given function is: fx=7xx2+9 The given graph is:

Q: Find the inverse function of f. f(x) = 3x x-5 f-1(x) =

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Q: Maximum Revenue When a wholesaler sold a product at $50 per unit, sales were 240 units per week.…

A: when a wholesaler sold a product at $50 per unit, sales were 240 units per week. After price…

Q: where Compute Ja S = {(x, y, z) = R³ x² + y² + z² = 4, z ≥ 0} (.x²₂ ²z+y²z)ds,

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Q: Assume the nth term in the sequence of the partial sums for the series an is given below. Determine…

A: The given sequence of partial sum of the series ∑n=0∞an is sn=5+8n22-7n2. We have to find the sum of…

Q: Given that sinθ=1/3 and 0<θ<π/2, what is the value of sin(2θ

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Q: Given f(x, y) = sin(x+y) where z = s³t³, y = 3s-5t. Find f(x, y) and f(x, y). Write answers in terms…

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Q: Consider the following. Find g'(x). g'(x) = g(x): = X In(x) In(x) - 1 In(x) ² 2.72 Solve g'(x) = 0…

A: NOTE: Refresh your page if you can't see any equations. . the derivative of the function already…

Q: The approximating curve shown on the figure is given by I(t) = −0.04t3 + 0.4t2 + 0.1t + 202    (0 ≤…

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Q: What is the smallest counting number that has factors of 2,3,4,10,12, and 18 ? Explain/show how you…

A: Given Factors  2,3,4,10,12, and 18      L.C.M of these numbers gives the required number

Q: D. What is the minimum value of f(x)?

A: (D) From part (B) , fx=x23+8332 What is the minimum value of fx.

Q: A car dealership advertises a 10% discount on all its new cars. In addition, the manufacturer offers…

A: Given function f( x ) = 0.9x g( x ) = x - 1750

Q: can you please explain step by step in words

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Q: The temperature at a point (x,y,z) of a solid E bounded by the coordinate planes and the plane…

A: The given data is: 7x+y+z=1Tx,y,z=xy+8z+20

Q: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 500 yd…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 2 + 54x −…

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Q: Use the model to estimate the monthly inflation rate in January 2007 (t = 1).  Recall that the…

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Q: 39. y = x² +1 x - 4 [5,6]

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Q: How do you find the intervals that are concave up or down, the inflection point, the critical…

A: critical point

Q: Use either the shell method or the disk/washer method to find the volume of the solid of revolution…

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Q: Given the demand function D(p) = 225 - 2p², Find the Elasticity of Demand at a price of $1 At this…

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Q: Suppose that in the interval 15 ≤ x ≤ 20 you know that the graph of y = f(x) rises as you move from…

A: The given data is: y=f(x), 15≤x≤20 The graph of y=f(x) is concave down.

Q: 11₁ X 4y -6x + 2y = 0, - 6x + 2y = 2, x - 4y = 1, x - 4y = 6 Find S -6x + 2y -dA, where R is the…

A: The Region R is given as , -6x+2y=0 , -6x+2y=2 , x-4y=1 , x-4y=6 find ∫∫R-6x+2yx-4ydA=?

Q: : f(x) \^x Find T₂(X) 19=1

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Q: t (seconds) 0 481216 Velocity (ft/sec) 048 1725 Shown in the table is the velocity of a car at…

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Q: formula for du/ou in terms of other partial derivatives 2,9,2, and each of z, y, z is a function of…

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Q: For each of the following, enter your answers correct to two decimal places. a. Find the area under…

A: As per our company guidelines we are supposed to answer only first question....kindly repost other…

Q: Find the derivative of the function. F(0) = arcs arcsin✓sin(150)) F'(0) = =

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Q: SSYDA Dis bounded by y = x-12 2 x = y ²

A: Given that:- D is the region bounded by y=x-12 and x=y2

Q: Year 1950 1960 1970 1980 1990 Rate of change (million people per year) 27 42 59 79 96…

A: Given that , Year 1950 1960 1970 1980 1990 Rate of change (million people per year) 27 42 59 79…

Q: Evaluate the limit lim t-0 os(t) i + 1 - cos(t) t 3 12² ³ 5 ³ + e³¹²7) -

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Q: Suppose that f and g are functions that are differentiable at x = 1 and that f(1) = 4, f'(1) = -8,…

A: We have to find the value of h'(1).

Q: The figure below shows contours of g(x, y) on the region R, with 5 ≤ x ≤ 11 and 2 ≤ y ≤ 8. Using Ax…

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