3. Let f(x)-1-r', g(x) 1-x. Find (fgXx). (AJ x-r-x+1 [B] x'+2r+2 IC) -r-x+2 [D] -r'+x

Q: ive of f(x, y, z) 1) in the dired

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A: Given query is to find the derivative of the expression.

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A: R- integrable function

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A: f(x)=∫2x1+t1+t2dt, find f'(-3)

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A: The given function is fx, y, z=2x5+3y5-8x2y2z2.

Q: (b) Compute the partial derivative fy at the point (x, y) = (1, 1), or show that it does not exist.…

A: Let f:R2→R  be the function   F(x,y)=x-1.y-113(b) compute the partial derivative fy at the point…

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Q: Find the partial derivative of z with respect to x (32) for z = (3x² + 1) cos(x²y) O None of the…

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Q: 4. Integrate the function f(z) = z² + 2z from z = -i to z = 1 in two ways, once along a straight…

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Q: z – 1 ive of f(z) = Leave your ans %3D z +1

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Q: - Find the Linearization of f (x) = sinx at a 5. Provide your answer as L(x) =? %3D %3D

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Q: f(x, y) = In (x²y - x) %3D

A: Here, the given function is: f(x,y)=ln(x2y-x) First to find the first derivatives:…

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Q: of of and ду Find f(x,y) = Vx + 3y?

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Q: 3. Consider f : R2 → R defined by f(x,y) = y³ + 3x²y – 6x² – 6y? + 2. - (a) Determine the critical…

A: The given function is: f(x,y)=y3+3x2y-6x2-6y2+2

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A: Consider the given information

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Q: 6) If y=x² +1+ f dt , prove that y"= 2 - x2

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Q: ) Find the linearization of f(x) = sinx at x = 0.(b) Compute dy if y = x2 +x and x changes from x =…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Find linearizing ( L(x) ) f(x) at x=a . where f(x) = tanx and a = π a) π b)  x - π c) π - x d)…

A: SOLUTION-

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Q: If f(x,y,z) = z In(x²ycosz): then fz is

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Q: Find the partial derivative with respect to x of the function 4 x 4y – 4/-5 z – 3. 10 z 4y-4 V-5 z-3…

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Q: Find the partial derivative of f(x,y) with respect to y at the point (3,2) f(x,y) = ln(x^2y-xy^2)

A: A partial derivative of a function of several variables is its derivative with respect to one of…

Q: Let f(x, y, z) = 4xy – z², x = 6r cos(0), y = cos (0), z = 3r. Use the Chain Rule to calculate the…

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Q: 2 Find f, fyand f. if f(x, y, z) = x-Vy + z°

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Q: 2. Prove that f(x) = |x + 1] 1| (−1,0) tangent line at has no

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Q: The partial differential equalion formed to om the (x -af + ÿ +(2-65 = 16 is nelation 9. %3D = 16

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Q: prove that xy^2/x^2+y^2 is not differentiable at 0,0 when  xy^2/x^2+y^2 if (x,y) not equal to (0,0)…

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Q: 6. If F(x) is defined by cx²+2x F(x) = esin(t) dt Determine F'(x).

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Q: (b) 22). Compute the partial derivative frryz for f(x, y, z) = cos(cos(x³ + z²)) + x² In(y² +

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Q: 5.) Use linear approximation to estimate f(0.1, −0.9) x² sin x In(y² + 1) Y f(x, y) = of th + x+1…

A: NOTE: Refresh your page if you can't see any equations. . here we want to find the approximate…

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A: Linearization

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Q: 2 f(x, y) = x² + 3xy

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Q: Integrate from f(x) = x4 from 0 to 1 by (Trapezoidal Rule) with h = 1, h = 0.5, h = 0.25 and…

A: Here, f(x)=x⁴ So, I=  Integrate from f(x) = x⁴ from 0 to 1. Now we can solve by Trapezoidal rule,…

Q: If ƒf (x) =¸ (A) (B) Sº sec²x 1+elanx In (secx) √✓ 1+tan²x tanx 1+e sec ³x tanx 1+e 1+1² tanx…

A: Using Leibnitz integral rule.

Q: 1. Show that the function x2 – y2 2xy f(x,y) ={ x2 + y? if (x,y) # 0 if (x, y) = 0 is continuous at…

A: If for every ε&gt;0, there exists a δ&gt;0, such that if |x-a|&lt;δ, |y-a|&lt;δ, then the function…

Q: Find the partial derivative. 2 = (r² + 5z – 6y)“ az ||

A: The given function is: z=x2+5x-6y4