Given f(x, y) = x® + 3xy4 – 2y°, find f-(x, y) = fy(x, y) =

Q: Use the First Derivative Test to find relative (local) maximum points, if any, of the given function...

A: a) y=x3-xDifferentiatey'=3x2-1For local max or miny'=03x2-1=0x2=13x=±13x=-13,13Substitute x=-13 in y...

Q: 3. tan(xy) +xy 0

A: This is a problem of differentiation. Based on the general formula of derivative we will calculate t...

Q: 7. The population of a certain city in Northern Ontario can be modeled by P(t) = in years from 2010....

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Q: 2. Find the slope of the tangent line to the curve f (x) = -1 2 at x

A: Given: f(x)=2x

Q: Solve log3 (2 – æ) = 3. |

A: Solution: log3(2-x)=3

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Q: Let f(x) = 24 /x - 4x. a. Find all points on the graph off at which the tangent line is horizontal. ...

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Q: Use implicit differentiation to find y' and then evaluate y' at the point (4,5). y-8x2 +3=0 y' = %3D...

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Q: *'(x) *'(1) %3D

A: Given query is to find indicated derivative.

Q: Eliminate the parameter: I = sin 3t, y = cos 3t, 0 <t <T/3. = COS

A: x= sin 3t     and y=cos 3t     for    0≤t≤π3 We need to eliminate the parameter i.e. we have to elim...

Q: 2+ x², ={ 1 2* +2, 4 -2 <x<0 f(x)dx; f(x) 0<x<4

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Q: Write the general antiderivative. (Use C for the constant of integration. Remember to use abs 1 3x d...

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Q: Find a solution to the differential equation dy 4x3 dx ey which satisfies the initial condition y(0)...

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Q: 2sim x-1 -y = COST+2

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Q: uaponbo Duwoyo an pooO *+1 And any Intercepts. (If an answer doc not edst, cnter DNE.) x-Interoept (...

A: NOTE: Refresh your page if you can't see any equations. . to find the x-intercept, take y=0 here ...

Q: After the consumption of an alcoholic beverage, the concentration of alcohol in the bloodstream (blo...

A: Maximize concentration

Q: C b 630 A 53

A: Topic = Triangle

Q: Example: Find the surface area of the curve described by x = t³, y = t², 0<t<1, rotated about the x-...

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Q: Use the determinant theorems to find the value of the determinant. -4 5 - 1 8 - 1 4 - 7 9 8 3 1 1 Th...

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Q: n (a) an = (-1)" n+1 (b) an Vn +1 In(n®) (c) an = 2n

A: This is a problem of series and sum calculator. By using several available method we will determine ...

Q: Use the definition of the Taylor series to find the Taylor series for f(r) = centered at a =1. (List...

A: To find the Taylor series for f(x)=e2-x centered at a=1. Concept used: The Taylor series can be expr...

Q: Find the general solution of the differential equation. (x'' 1) y' osx ca-y) こ

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Q: A sample of radioactive material starts with 0 grams . After 3 half -lives have passed , how much ra...

A: Let's find. 

Q: Given the series 2-1 Lx=1 (1+ln²x)x 1. Justify if the series can be proved using the integral test g...

A: Given problem:-  

Q: Use the method of Lagrange multiplier to find the absolute maximum and absolute minimum values of th...

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -4 and x = 1 x-intercep...

A: Given query is to find the rational function with given characteristics.

Q: 2. Find an expression for the amount of work required to lift a thin 10 ft by 10 ft slab whose densi...

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Q: Solve for x. = x + x² + x' + ., ]x| < 1 ... 11 + 11x (Use symbolic notation and fractions where need...

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Q: Use implicit differentiation to find y' and then evaluate y' at (3,4). 8x² - y³ - 8 = 0 y' =| y'l(3,...

A: ddxfx±gx = dfxdx±dgxdx dafxdx=adfxdx dxndx=nxn-1.

Q: Evaluate * cos (e + a?) dx 24 +1

A: To find: The integral ∫44cose3x+x2x4+1dx Concept used: ∫aaf(x)dx=0

Q: Find the open intervals on which the function f(x) = ax? + bx + C, a0, is increasing and decreasing....

A: f(x)=ax2+bx+cf'(x)=2ax+bcritical point:f'(x)=02ax+b=0x=-b2aFor a&gt;0,f is increasing on (-b2a, ∞)be...

Q: 4. Determine where V(z) = z*(2z – 8)³ is increasing and decreasing.

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Q: Verify that the series Σ n +1 n=1 satisfies the conditions of the Integral Test, then use the Integr...

A: The given series ∑n=1∞nn4+1

Q: Use the First Derivative Test to find relative (local) maxi points, if any, of the given functions. ...

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Q: The quantity of a substance can be modeled by the function N(t) that satisfies the differential equa...

A: We have to find the quantity of substance at t=1.8.

Q: Solve z+z +1= 0 by obtaining the roots. Answer a. b(1+jv3), }(-1± N) 幸 d. (1+ jv/3), (-1±jv3)

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Q: xtra questions: Find the Derivative of 8 1. y = 10 vx ++ x2 2. y = ta n(si n x) 3. у %3D cot?3x

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Q: 3. A function is defined by the equation y = V3x + 4, where does the slope of the tangent line equal...

A: Given,           A function is defined by the equation y=3x+4 and the slope of the tangent line     ...

Q: Find the open intervals on which the function f(x) = ax² + bx + c, a ± 0, is increasing and decreasi...

A: Given f(x) = ax^2+bx+c, a is nonzero differentiate withe respect to x df/dx = 2ax+b for increasing d...

Q: Evaluate the integral that converge dx (2x- 1)3

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Q: (1) Prove that every perfect square is either a multiple of 4 or e more than a multiple of 4. [Hint:...

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Q: The range of the function f(x, y) =16-4x² -9y is equal to: [0, 4] [0, 16[ O This option O This optio...

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Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

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Q: Verify that the series n4 + 1 n=1 satisfies the conditions of the Integral Test, then use the Integr...

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Q: dx Vx

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Q: 1. y= x-x'cosx + 2xsinx + 2cosx

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Q: If log, æ = 0.63, log, y = 1.46, and log, z = 1.77, loga

A: As we know that, The logarithmic properties: 1). logaxb=b·logax 2). logaxy=logax+logay 2). logaxy=lo...

Q: Suppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.002x° +0.07x + 14x + 60...

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Q: I Find the second derivatively") of the following functions and simplity the final results. 1. y=x-x...

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Q: 2x + 3 dx

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