Find the derivative of the function. y = 9 x + 3 y' =

Q: The enclosed area between y= 3 x and y= 6/x is evaluated by 36 3 dxdy. 0, 3 x ApxpbJ O None of he…

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Q: A scientist has discovered a new strain of bacteria. The bacteria culture initially contained 1,000…

A: Given problem:- A scientist has discovered a new strain of bacteria. The bacteria culture initially…

Q: Suppose f(x) = r² + 3x + 1. In this problem, we will show that f has exactly one root (or zero) in…

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Q: Find the partial sum Sn  of the arithmetic sequence that satisfies the given conditions. a = -45, d…

A: Use sum formula for given AP

Q: List the critical numbers of the following function in increasing order. Enter N in any blank that…

A: To find: The critical points of the function and then list them in increasing order. Given…

Q: Write the equation of the hyperbola in standard form. (-1,7) (-1.5)

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Q: fxcos 73 x cos 4xcos 2xdx π ſcos(nx)dx 75 ーπ 77 xsin(nx)dx

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Q: he cost C (in dollars) of producing x units of a product is given by the following. C = 2.4 x +…

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Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

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Q: Find а) b) a? - an ww. lim lim x→a I – a

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Q: The revenue R (in dollars) from renting x apartments can be modeled by R = 2x(600 + 34x − x2). (a)…

A: R(x)=2x (600+34x-x2)R(x)=1200x+68x2-2x3(a)Marginal revenue= R'(x)Differentiate R(x)…

Q: Find the critical points of f(x) and use the Second Derivative Test (if possible) to determine…

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Q: determine the area of the region bounded. show complete solutions.

A: We have to find the area of the region bounded.

Q: 571 +3x +0.92x2. Use differentlals to estimate the change in cost when the level of production A…

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Q: Consider the following function. g(x) = x3 − 2 Find its average rate of change over the interval…

A: Explanation of the answer is as follows

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: The height (in meters) of a projectile shot vertically upward from a point 2 m above ground level…

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Q: 1. Which of the following is equal to the first derivative of a function? A) point of tangency B)…

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Q: 5. Compute the arc length exactly y = x2 - In x , 1< x < 2 4

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Q: 4+6 n i) The sequence { )is bounded by 6 n <ns ii) The 20 th. element of this sequence is

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Q: — т3 + 3х2 — 2х — 1. + 3x2 %3D

A: answer is in next step

Q: (2+In x)' 7.

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Q: Find the gradient of the function at the given point. g(x, y) 6xey/x, (1, 0)

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Q: X+1 Use a table to evaluate the limit: lim x(x- 1) • O -1 +cO

A: Use limit for finding the right answer.

Q: opportunity loss will always result the same decision as maximum Expected value ?   2-Prove…

A: 1) Expected Opportunity Loss = EOL   Expected Maximum Value = EMV FOR PROVING , Let Regret Table :…

Q: y = x² – 14x , y = 0 3D0

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Q: Evaluate the integral. V16-a? 1 dy dx dz = -V16-x2 (x2 + y?)1/2 -4.

A: We can solve as follows

Q: III. Graph the following functions: 4. y lIn(x-3) 5. y= In(x-1) 6. y= In Vx-1

A: Consider the functions 4.   y=|ln(x-3)|5.   y=lnx-126.   y=lnx-1

Q: Find a positive number a such that the sum of its reciprocal and 5,324 times its square is as small…

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Q: Q1/ Using newton's backward difference fomula find the approximate value of y(-1/3) when y(-0.75) =…

A: By using Newton's backward difference formula to find the approximate value of y-13 when…

Q: Find the marginal profit for producing x units. (The profit is measured in dollars.) P = −0.3x3 +…

A: Find your answer below

Q: Vx - 2, y = x - 2

A: Given  y = x-23,    y = x-2 We have to find the area of the region bounded.   The graph is

Q: Use logarithmic differentiation to find dy/dx. (x + 1)(x - 7 (x - 1)(x + 7) x > 7 Step 1 The given…

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Q: The graph models the amount of radioactive element present over the course of a 10-minute…

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Q: y" + 9y = sec 3x %3D

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Q: Find the derivative of the fünction. y = 7(6 - x2)6 %3D

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Q: 78 |x cos(nx)dx

A: As per guidelines we will solve one question

Q: The size P of a certain insect population at time t (in days) obeys the function P(t) = 100 e 0.09t…

A: In multiple question we are allowed to answer only first three sub parts

Q: Determine whether the series converges absolutely or conditionally, or diverges. 00 (-1)^ + 1 Σ n +…

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Q: Find (f1)'(0). dt f(r) ((0) =

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Q: The series n=4 is convergent. The term a29 of the sequence {a,) given by 2 3 4 5 5'7'9' 11 is 31 63…

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Q: Find the derivative of the logarithmic function. 3x f(x) = In %3D x+2,

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Q: Find the indicated terms of the geometric sequence with the given description. The third term is…

A: To find the indicated terms of the geometric sequence with the given description. The third term is…

Q: Find the nth term of a sequence whose first several terms are given. 2, 5/4, 8/9, 11/16, 14/25

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Q: Espar Find an equation of the hyperbola having foci at (-2,-V40) and (-2, 40) and asymptotes at y3 1…

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Q: -2n f) S“ cos 2x dx g) S et² t dt h) S x sin(x²) dx

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Q: The average rate of change of fx) = ax' Over the interval osxs1 IS a

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Q: Consider the following theorem. Theorem If f is integrable on [a, b], then f(x) dx : lim f(x;)Ax n-…

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Q: 13x y = 241 • Y = 0, 0<x < 5 y = 0 , 0 < x < 5

A: Area bounded by curve

Q: 9-y dy 5. S y

A: We will use trigonometric substitution.