Use implicit differentiation to find az/ax and az/ay. x² + 4y² + 9z² = 2 əz əx ||

Q: Evaluate the integral •(3+7 by interpreting it in terms of known areas. I = (3+7x) dx 1. I = 2. I =…

A: We have to evaluate the integral…

Q: The average value of the function is f Choose the correct graph of f(x) and I below

A: The average value of the function f(x) over [a,b] is given by =f(b)-f(a)b-aSubstitute a=2 and…

Q: A used car is purchased in 2019 and its value decreases according to V(t) = 5400(0.96) where t is…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: The nth term of an arithmetic sequence is: an=a1+n-1d

Q: A particle moves along a straight line so that its velocity, vms ¹, after t seconds is given by v(t)…

A: Distance travelled by particle distance =∫ab v(t) dtand particle at rest when velocity is zero

Q: Find the absolute maximum and absolute minimum values off on the given interval. f(x) = 14 + 2x -…

A: For a given function f( x )  First find critical points by f'( x ) = 0 Given function  f( x ) = 14 +…

Q: derivative of the inverse sine

A: Find derivative of the Inverse sine

Q: Find the area (in square units) of the region under the graph of the function f on the interval [1,…

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Q: A couple received a $129,000 inheritance the year they turned 51 and invested it in a fund that…

A: Given  Investment= $129,000 Deferred Time = 11 years Rate= 7.3%

Q: A) The Marginal Cost function: MC(q) = B) The Marginal Revenue function: MR(q) = C) The Marginal…

A: According to bartleby guidelines we supposed to do the first three subparts of multiple subparts…

Q: Find the equation of the tangent line to the function f( x ) = x)=[" con (√₁²+7) dt at x = -1. COS y…

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Q: Consider F and C below. F(x, y, z)= yzi+xzj + (xy + 6z) k C is the line segment from (3, 0, -2) to…

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Q: Subject: Precalculus Subject to deal with: Polynomial and Rational Functions Hello :) The…

A: If degree of numerator is more than degree of denominator, then the function has slant asymptote, If…

Q: Solve 6 cosx + 2 = 0 to three decimal places on the interval x = [0, 2π]. E A. x=0.340, x = 5.943 C.…

A: Here we have trigonometric expression. Need to find the value of x  in the interval of [0,2π].

Q: Approximate the area under the parabola y = x² from 0 to 5, using six equal subintervals. The…

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Q: Please solve and show all work and steps. Please make sure the answers are visible. √1-2² sin ¹r. 1…

A: y= (√(1-x2)).sin-1x We have to find y'

Q: 22. Which of the following is the solution to the differential equation y(0) = e for x > — — ? (A) y…

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Q: The rate of growth of a microbe population is given by m'(t) = 28te, where t is time in days. What…

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Q: Suppose that To (2) centered at 3 for f(x)is given by Ts (2) = 7+3(2-3) + 2(x-3)² + 4(x-3)³ + (x-3)5…

A: Given that , T6x=7+3x-3+2x-32+4x-33+x-35+5x-36 and T6x centered at 3.

Q: 1. Polar coordinates. A) Find the region D* in the (r, 0) plane corresponding to the region D…

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Q: A particular country's exports of goods are increasing exponentially. The value of the exports, t…

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Q: [x² 18-9x . if -1 ≤ x ≤0 if 0 < x≤ 1

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Q: Problem 2. Find the volume of the solid generated by revolving the region bounded by y=√x, y=0, and…

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Q: Find the path c such that c(0) › = (0, −12, 15) and c'(t) = (t, e¹, t²). (Enter your solution using…

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Q: 2. Determine if g(x) = is differentiable at x = 1. 1 2x + 1 if x ≥ 1 2' √2-x, if x < 1

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Q: ut What are the solutions for sin³x- = 0 in the interval 0° ≤x≤ 360°? x-45° and 225° and 315⁰ and…

A: We have;

Q: Find the derivative of y with respect to x. -1 (6x² +1), y = csc X>0

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Q: Find the following coefficients. 0 Co C1 C3 = C₂ = C4 = || = 2/3 -10/0 -18800 = 8 1 108 4! 8x x + 12…

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Q: Identify the inflection points and local maxima and minima of the graphed function.

A: The given function is:y=-2x+sin(4x) ;            -5π12≤x≤5π12

Q: 1. Hyperbolic Functions. Prove the identity coshx-sinh x = e-*

A: Coshx = ( ex+e-x)/2 Sinhx = ( ex-e-x)/2

Q: For some tasks, a logistic curve is used to model proficiency. In what follows, suppose that the…

A: Percent proficiency is given by the logistics curve determined by p(t).

Q: The joint cost (in dollars) for two products is given by C(x, y) = 20 + x2 + 3y + 2xy where x…

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Q: 3) Construct a table using different values of 0 for the following polar equation. Use those points…

A: The polar equation is r=3cosθ+3

Q: Which one of the following is traced out by the particle whose position at time - is given by x =…

A: From t = 0 to t = 4, slope = 2 - 00 - 4 = -12f(t) = -12(t - 4)  At t = 0, x = f(0) = 2 and y = g(0)…

Q: The joint cost (in dollars) for two products is given by C(x, y) = 20 + x² + 3y + 2xy where x…

A:

Q: The rate of change of revenue (in dollars per calculator) from the sale of x calculators is R'(x) =…

A: Given: The rate of change of revenue from the sale of x calculators isR'(x)=(x+7)ln(x+7) We are…

Q: Write the expression as a single logarithm with coefficient 1. Assume all variables represent…

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Q: An equation relating demand q and price p is given. Compute the elasticity of demand for the given…

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Q: Find all horizontal and vertical asymptotes of the function √16x² + 1 x² f(x)= x²16 x +4

A: f(x) = [√(16x^2+1) x2]/[(x2-16)(x+4)].

Q: At time t hours after taking the cough suppressant hydrocodone bitartrate, the amount, A, in mg,…

A: The amount of A in mg remaining in in the body, A= 10(0.74)t Where t is no of hours

Q: Find the mass of the lamina described by the inequalities, given that its density is p(x, y) = xy.…

A: The density is ρx,y=xy 0≤x≤20≤y≤4-x2

Q: Evaluate the integral: sinh x cosh² x dx

A: Given data:-   ∫sinhxcosh2x dx

Q: Differentiate. g(0) = e(tan(e) - 0)

A: g(θ)=eθtanθ-θTo Find: differentiation

Q: Consider ³9-x² f(x, y, z) dz dy dx -3 Rewrite this in cylindrical coordinates using the order of…

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Q: Suppose that f(x, y) = x² - xy + y² - 3x + 3y with D = {(x, y) |0 ≤ y ≤ x ≤ 3}. 1. The critical…

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Q: solve the differential equation (full procedure) dy/dx= 2sec2x-cos(x), y=0 when x=1

A: solve the differential equation (full procedure) dy/dx= 2sec2x-cos(x), y=0 when x=1   integration of…

Q: Find the mass of the lamina described by the inequalities, given that its density is p(x, y) = xy.…

A: The given inequalities are:0≤x≤8   and   0≤y≤8The density of the lamina is:  ρ(x, y)=xy

Q: What is the exact value of tan 5 T 12 /?

A: → let  H=tan(5π12)

Q: Let be an angle in standard position where 0 ≤ 0 ≤ 2л with: cos (0) = 4 Answer the following…

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Q: 1. Find the area under the curve y = e2x over [0,3] as an exact value and as a decimal approximation…

A: The given curve is:y=e2x          over 0, 3