By Lagrange find √18 where √√16=4,√√25 = 5, 4.5 O 38 O 9 18 O 9 40

Q: Question. lim (x,y) →(2,-1) x + 2y : The following limit x3 x³ + 8y³ Select one: O does not exist. O…

A: To evaluate the following limit.limx, y→2, -1 x3+8y3x+2y

Q: If the derivative of a function is given by f '(x) = x(x - 2)(x + 6), then for what values of x is…

A: Given:      f'x=xx-2x+6 To get values of x is fx decreasing put f'x<0        xx-2x+6<0…

Q: Find ay/ax implicitly. dy dx 6xy + In(x²y) = 9

A: Solution:

Q: If sets A={10,20,30,40}             B ={30,40,50,60}             C= {50,60,70}             U =…

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Q: This question reviews the process for integrating definite integrals using u- substitution and…

A: use the substitution method for finding the integral.

Q: Find the first partial derivatives of f(x, y, z) A. Caution: ay/bx and ay/(bx) are very different,…

A: Given query is to find indicated derivative.

Q: Evaluate y sin(xy) dA, where R = [1, 2] × [0, π]. R

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Q: vi viii 22 0 TT cos 4x dx sin6x dx

A: Fonding the integrals,use the reduction formula.

Q: If f(x) = f'(x) = 9x + 5 7x+5' F what's f'(x)?

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Q: 2. Find the time required for an investment to double in value if invested in an account paying 2%…

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Q: Suppose that X is a binomial random variable with n=300 and p=0.2. Approximate the probability that…

A: Probablity to find the x≤r by binomial distribution is…

Q: find it's derivative and solve for its critical points

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Q: Find an equation of the line tangent to the graph of ​f(x)=2/x at (6,1/3).

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Q: A resistor shaped in the form of an annulus has an outer radius ba inner radius a and its resistance…

A: solution:-a<r<bR=∫abρdr2πr=ρ2π∫abdrr=ρ2πlnrab=ρ2πlnb-lna=ρ2πlnba

Q: Evaluate the following limit. Enter the exact answer in fraction form, if necessary. To enter ∞o in…

A: We have to find out

Q: radioactive cesium-137 has a wide variety of uses and is commonly used in hospitals for diagnosis…

A: Given query is to find half life.

Q: Find the derivative of the function. y = cos( 1 = 6³x) e3x 1 + y' =

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

Q: Find the partial derivatives of the function fz(x, y) = fy(x, y) = f(x, y) 6x + 2y 7x + 6y

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Q: Find fx(x,y) and fy (x,y). Then, find fx (-1,2) and fy (3,1). f(x,y) = In 1+4x³y²| {x(x,y)= fy(x,y)…

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Q: Find the periodic withdrawals PMT for the given annuity account. HINT [See Quick Example 4.] (Assume…

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Q: Each year 5% of the inhabitants of a rural area move to the city. If the current population is…

A: QA)24000×100-54 Given  Current population of Rural area = 24000 Rate of movement (Rate of decrease)…

Q: Use Cramer's rule to solve the system if D 0. In the case where D = 0, use Gaussian elimination or…

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Q: 2x² yy' + 2xy² + 3 = 0 y'ex = y sin(x) + tanh(y) y' + y" = 2x²y et

A: Please see the below answers.

Q: Suppose a product's revenue function is given by R(q) = − 3q² + 700g, where R(q) is in dollars and q…

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Q: 1. A bacteria culture initially contains 2000 bacteria and grows exponentially. After 3 hours, there…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Using the method of the Determination of Integrating Factors, what is the integrating factor when…

A: Let's solve given diffential equation.

Q: he population P (in thousands) of Orlando, Florida, from 1980 through 2013 can be modeled by P =…

A: Given query is to find the time when population reached to 390000.

Q: Suppose that f(1)=9and that f′(x)≥4for all values of x. How small can f(9)possibly be?

A: Topic = Functions

Q: Find all the first and second order partial derivatives of f(x, y) = -7 sin(2x+y)+5 cos(x - y). af…

A: See the details solution in below

Q: Let y = exp /9+9x3). Find dy/dx.

A: Given function:- y=e9+9x3

Q: 60. Total cost from marginal cost. Solid Rock Industries determines that the marginal cost, C'(x),…

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Q: Find the average value of the function over the given interval. x² on [0, 6] f(x) =

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Q: Find the critical numbers g(x) = |3x - 4| *please use handwriting not typing, I understand it…

A: A critical point is a local maximum if the function changes from increasing to decreasing at that…

Q: INSTRUCTIONS: State L(x) (the linearization) at a f(x) = sin(x) 6

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Q: Determine whether the following series converges. Justify your answer. IM8 2 k=1 (k+ 2)² OA. The…

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Q: Find the limit. Use l'Hospital's Rule if appropriate.  lim x→0+ (tan(6x))x

A: eln(x) = x ln (x)a = a ln(x)

Q: The economy of a small island nation is based on two sectors, coal and steel. Production of a…

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Q: Solve the differential equation. (9 + tan y)y' = x² + 9

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Q: Which graph is a possible sketch of the function f(x) = (x-6)(x+3)³ ? 625 500 375 + 250 125 +…

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Q: I. Find the intercepts, the critical points and point of inflection for each of the following…

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Q: dy 16. for y=(csc1+secu)³ du

A: according to bartleby guide line we do only first part of multiply questions   16)    y=(csc1+secu)3…

Q: Question ( ,. For the limit, Select one: O True O False 2x² sin x + 3y³ lim (x,y) →(0,0) 3x³ + 2y²…

A: lim(x,y)→(0,0) 2x2sinx +3y33x3+2y2 apply the limit for this  this is the question of limit and…

Q: Find the limit. Use l'Hospital's Rule if appropriate.  lim x→0 3x − sin(3x) 3x − tan(3x)

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Q: In a certain city the temperature (in degrees Fahrenheit) t hours after 9am was approximated by the…

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Q: →→→ If a, b, c and are distinct vectors such that axc=bxd and ax b = cxd, prove that →→>>…

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Q: I. Find the intercepts, the critical points and point of inflection for each of the following…

A: we need to find out the intercepts, critical points, point of inflection, etc.

Q: An expression for which the derivative is v² +6v is v³ + 3v² That is, v³+3v² is an antiderivative of…

A: We have to solve

Q: dy/dt = 2.5. 9. Given y = e2x+1, find dy/dt when x = 4 and dx/dt = 0.5. 3r C: (d when x = ? and

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Q: The rabbit population in a forest area grows at the rate of 9% monthly. If there are 290 rabbits…

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