[49]. Find fave of fox= JX Find CE[t9] such that fce)= fave on [4,97 on

Q: Frnd the exterma. O F(xy/z) = Xy z 2x +3y +りz=12. such that

A: See the details solution in below

Q: Y Find det A 1SA - TAI = T.

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Q: Find the linear approximation L(x of the function f(x) =V1– at a = 0. L(x)=mx+b where m is - and b…

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Q: Q4) Find the deviva tives of the follocoing (9) y = ( In xe) %3D (b) Sec ( ²+1 %3D

A: Part A -  We can observe that the power in the expression on the right-hand side contains the…

Q: fird the slore mand a Of the huchon R at the s 3, aty M=

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Q: Find the convolution f (t ) *g(t) f(t)=e^at,g(t)=e^bt

A: By definition of convolution, we have

Q: For the function f(x,y,z) = In (10x + 7y + 6z), find fy, fy, and f,.

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Q: Evaluate f fs 2² dS, where S is the portion of x2 + y² + z² = 2 in octant 1.

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Q: Consider the following. ху W = x = 3r + t, y = rt, z = 3r – t aw aw and ar (a) Find by using the…

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Q: Determine frx and fry for the function below: f (x, y) = x²y + y cos x – e*y In((y) + 7. -

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: For the function f(x,y,z) = In (5x + 7y + 1Oz), find f,, f, and f,.

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Q: Isint t this equal to-. f(t) will noy+"|72 7 74155 = (+) JT W 17 750)

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Q: For the function f(x,y,z) = In (8x + 7y+ 10z), find fy, fy, and f,. fx fy =D Iz =

A: given,      fx,y,z=log8x+7y+10z

Q: dy Given a DE of dz 1-r-y using simple substitution, what must be your z? Ity Answer:

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Q: For what value of b is

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Q: Find all values of x that are NOT in the domain of h. If there is more than one value, separate them…

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Q: Given the multiple variable function f(x, y, z)= Ax*e» - Bz cosx*y°)+Cx*y*z?, where the coefficients…

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Q: Given that f(x, y, z) = xy + z and x = s2, y = st, z = t2, find the composite function.

A: To find the composite function.

Q: For what value of a is

A: Given           f(x)=x2-1    ,  x<32ax       ,   x≥3

Q: Use the above to find a quadrature formula of the form f(x)dæ f (x)dx= i=0 that is exact for all…

A: Quadrature formula ∫01x1-x2fxdx=∑i=0naifxi Exact for all fx of degree three. fx=x0,x,x2,x3

Q: Inlegrate the function f(x,9) -x,3zy over the rectungle R: e6x41 and sy61

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Q: Find the following for z = f(x, y) = x? +5x2y3-y. az %3D ax

A: FOLLOW NEXT STEP

Q: O Find all second order derivati ves for f(x,y) = Cos(2x) - x²e5Y + + 3y2

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Q: Use the chain rule to eX Pressdy intermsof X and Y: and t= at X=2

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Q: Use the intermediate value theorem to find the value of c such that f(c) = M. c =

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Q: Determine the linear approximation of f(x) = at z = 1. O a. y= 9x +8 O b. y=- 9 x-8 O c.y = 9x - 8 O…

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Q: Find PSD of Y (i) interms of X (1). Assume O is independent of X (f).

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Q: Show that the subtangent of f (x) = ex is everywhere equal to 1.

A: Formula to find the subtangent of the function helps to find the required subtangent. Derivative of…

Q: What does dr stand for in terms of r(t)?

A: Given: What does dr stand for in terms of r(t)?

Q: find the unKnown X the tow. equal metries atb to 2(646)46 to where a and b are Constantts

A: Do factorisation division to deduce the factors

Q: Compute the convolution f(t) * g(t) for f(t) = e-3, g(t) = 2t.

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Q: Q = find of るf and るこ for the Ganction f(xz)-ディズ メ+Z

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Q: Find dwdt (a) by using the appropriate Chain Rule and (b) by converting w to a function of t before…

A: w=x2+y2+z2,  x=cost,  y=sint,  z=et a).…

Q: The range of the finction f(x, y) = In(-x² -+1) is %3D None of these O (00:0] O [0; +0) O [0;1]

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Q: Let f(æ) = (4x + 26) In(æ + 3) %3D for æ > -3. Find the smallest value of A so that f(a) is concave…

A: Here we will find out the required condition.

Q: Find the value of c such that

A: Given∑n=0∞enc=7

Q: To F= G(s)= B(s) 2555+35 + 6 %3D A(S) stos't l1lS+ 6 Find F4) b] laPlase?

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Q: 8. For f(z) = e², find arg f'(z). Use this to verify that lines parallel to the y axis and x axis…

A: Given: f(z)=ez To find: arg(f'(z)) To verify that lines parallel to y-axis and x-axis are mapped…

Q: for the -j 3 O de terminant 2-j3 3 2 i-s 1

A: det3j2-3j3-3j-120-j1-j=3jdet-12-j1-j-2-3jdet-3j201-j+3·det-3j-10-j=3j-1+3j-2-3j-3-3j+3-3=-3-6j

Q: Find the general şolution to the following (D* - 2D – 7D² +8D+12)y = 0|

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Q: the function 2x4jwhen x²+y°+0 Prove that h (a,y) %3D Oj when x=y=0 epect is Variables Lontinuous…

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Q: Q9. Find y2 using Reduction of Order y" – 3.ry +4y = 0, Yı 1 = x?

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Q: of Find of and for the following function. ду 1(x,y) = (2x – 9y)5 %3D of 1 дх of 1 dy

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Q: Differentiate v1 +x² with respect to r.

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Q: Let f be a C' function on the line, and let g(x) = S f(xy)y² dy. Prove that g is a C' function and…

A: f ∈ Cn  means f is atmost n times differentiable

Q: Determine the order of the DE. а) y' + у %3D 5у? b) = t dy dt c) y' = y" + 5t2

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Q: O De fine fG) in a way that extends g8) = X -3 to be continuows at x=3

A: It is continous function  problem.