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Q: fany)=y+x3-6xー6y 2. y+2 function is given a) Fird, your critical Points of f ? b)Find all the…

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Q: If x-0.78 and y 0.83, then value of Cin the antiderivative of F(X)= xsin-(x) is V1- x2

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Q: x Find all absolute extrema of f(x, y) = x² + y² – 25 subject to y = y? |

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Q: e function f(x, y) = (x – 1)² + (y – 1)² subject to the constriant

A: The given function is f(x,y)=x-12+y-12 and subjects to the constraint x2+y2=8 the formula for the…

Q: Determine the value of the arbitrary constant of the antriderivative of F(x) = x2In(x) given the…

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Q: F F) s an antiderivative of x-+x-, then what is the value of F(1)-F(-1)2 -1

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Q: f(x) = 'dt th (2) 3=

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Q: – x®y³, 6. Given f(x, y) = e®° - show that fxy = fyx.

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Q: 2. Approximate v1.02 +0.02 using an function f(x)=√x + 1 + e*. appropriate local linear…

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Q: etermine the orthogonal trajectories for x? = ky³.

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Q: 4: Find the approximate value of f(-2.001, 1.002) where f(x, y) 3x?y + y? – xy +1

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Q: ren f(x, y) = In Va²y3. What is = value of fy(1, 2)?

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Q: 4 f:[0,00)→R all continious function aro Sx³f(x?)dx= Sx f(x) dx %3D show this.

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Q: C – 2x – 2. Consider the function f(x) = 7x° +5x° Enter an antiderivative of f(x). Do not enter +c…

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Q: Determine the linear approximation for 2√x at x = 5. Use the linear approximation to approximate the…

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Q: Use a local linear approximation to estimate the following y-values 1. f(1.2) 2. f(-2.9)

A: Given: The table as To find: The values of following using local linear approximation, f1.2 f-2.9

Q: 22 + 3. s the maximum value of f (z) on the square z = x + iy for –1< x, y < 0.

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Q: (c) lim v f(x) x→2

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Q: x(T-X) ○<Xくす f(x)= -Tく×<。 X(T+x) -T<Xへp

A: Given that f(x)=x(π-x),                  0&lt;x&lt;πx(π+x),                  -π&lt;x&lt;0 To find…

Q: Vx2 +1 – Vx² – 1 y = Vx² +1+ vx² – 1 2.x3 dy = 2x - d.x - - show that Vx4 – 1 -

A: Given: y=x2+1-x2-1x2+1+x2-1      ......(1) To Prove:  dydx=2x-2x3x4-1      ......(2)

Q: a) Consider f (x) = x³. Write the linear approximation of f for x near 2. Let's call this linear…

A: According to Bartley guidelines first question done....for remaining questions you have…

Q: &r4- V Let y=f (x) + C be the antiderivative of F (x) = determine the value of C (use 3 decimal…

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Q: f(x, y, z) = e-3zyz 三 fy = 三 ニ f.

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Q: cost dt F(x) = ecost dt and G(x) = | •

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Q: 3 Let f(x) = 8x° 1 df 15x - 5, x2 1.5. Find the value of dx at the point x= 2004 = f(7). %3D

A: Known fact: derivative of f-1x=1f' f-1x.

Q: The demand for a car wash is x = 1000 – 40p, where the current price is $3. Find the price…

A: Consider the given information. x=1000-40p The current price is $3. Rewrite the function in form of…

Q: 10 f(z) dz - f(z) dz f(z) dz where a = and b:

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Q: F(x) = f Cost dt 4

A: We need to evaluate F(x)=∫π4x2costdt. So,        F(x)=∫π4x2costdt      =sintπ4x2      =sinx2-12

Q: III. Encuentre la derivada direccional de la función en P en dirección de Q 11. f(x,y) = x² + 4y²,…

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Q: y/ = y³ – y² – 6y where y is the dependent variable which is a function of the independent variable…

A: solution is attached below with detailed explanation.

Q: 6 X, 一T Sx< 0, 10, f(x) = %3D f(x+27) = f(x) 0 <x < T;

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Using linear approximation of f(x,y)=*+Y at (3,2), the value of f(2.94,1.94) estimated to be x-y

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Q: Find the zeYo k its ovdev for Sunction f2)=1-Ti + Z+ e.

A: Given the function, f(z)=1-πi+z+ez. Now, in order to find the zero of the function f(z), we will…

Q: Find local extrema  f(x,y)=-x^2-y^2-5x-7

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Q: f(t) = t²(5e¬t + 2)²

A: Given that  L tn gt =-1ndndsnGs -----(1) Here, Gs=L gt    And,  ft=t25e-t+22 Here,  tn= t2 ⇒n=2And,…

Q: = [[ F - a5, I = S F = î4æz – jy² + kyz 1

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Q: The general solution of Besseal function is given by y = c,J,(x) +y,(x)

A: Given statement, The general solution of Bessel function is given by y=C1Inx+ynx

Q: Using differentials, approximate v 9.1 (A) 3.015435621 (B) 3.016620626 (© 3.01666667 D 3.017654314

A: To approximate the √9.1

Q: 6s-2 15. F(s): 2s²+4

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Q: 46. How will you know if you can use a Substitution Rule in finding the antiderivative of a…

A: According to our guidelines, we can answer only one question or three subparts of a question. Other…

Q: (Taken from Hughes-Hallett, et. al.) When you cough, your windpipe contracts. The speed, v, at which…

A: Hey, since there are two questions posted, we will answer the first question. If you want any…

Q: df Find dx by using chain rule if f = u =-1 , x=-1 u+1

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Q: f: (Z, +) → (Z, +) where f(x) = 2x. f: (R, +) → (R*, .) where f(x) = 2*

A: We will use definition of isomorphism

Q: 5. Find the local extreme values of f(x, y) = x²y on the line a +y = 3.

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Q: Find the elasticity. q=D(x)=900/(x+7)^2

A: Given

Q: 3. Find the linearization function for the function f(r.y) = V? + y² + 2 about the point (-1. 1) and…

A: Given : f(x,y)=x2+y2+2 about the point (-1,1). We know that linearization of a function f(x,y) at…

Q: Find and clhsify the relative extrema 1. 14, simpiy bgarithn k(t) first.. Can usL baws to

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Q: 2. Find the number of extrema of the function f(x, y) = (x – 1)² + y² – 4y. If there Is no extrema,…

A: We are asked to find the number of extrema of the function.

Q: y =f(x): 2 1 -2 7 4)

A: Let ∆x = 0.5. From the graph, determine f(-1-∆x) and f(-1+∆x). From graph,…

Q: ntegrais. I, da, D= {(x.y) 0sxs20sys2% dA, D = x +2 [['e"d4, D={(x,y)| 0s ys 4,0sx<y}

A: Double integration