Find the gradient of the function at the given point. f(x, y) = 5x + 2y2 + 4, (4, 2) Vf(4, 2) = %3D

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Q: 7. The function f (x,y,z) = xyz, when subject to the constraint x + 2y + 3z = 72, has one critical…

A: 7. The function f(x, y, z) = xyz, when subject to the constraint x + 2y + 3z = 72, has one critical…

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Q: In Pi Jinxing's dream, two curves are said to be CoRoNaViRaL if whenever they intersect, the two…

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Q: lim 1 1-x = 2 Select one True False

A: We can check it true or false as below.

Q: Šolve the following problems completely and accurately. Part 1: Solving Differential Equations (1)…

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Q: 3. According to Newton's cooling law, the rate of cooling of a hot body is pro- portional to the…

A: According to Newton's law of cooling, we have T(t)=Ts+(T0-Ts)e-ktwhere T(t)- temperature of body at…

Q: 4 sec*(x) rind tha ualı Find the value of ((x* - 5x² – 6x)“ 4x³ - 10x – 6 dx. (x4–5x²–6x)* - a) 4…

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Q: Given that Vf(11, –6) = 10i – 8j, find the directional derivative of the function f at the point…

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Q: 2. S(r2 +r + 1)e"dr 3. Find the area of the region in th

A: Given problem:- ∫ (r2+r+1)er dr

Q: Y2 = Find the area bounded by these curves. (All choices are in sq. units) Y1 = Vx + 3 (x+3) Y2 = 2

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Q: 5. The subsequence of (xn) = () is.. a) (1층..) 0) (1.층,급.) b) (1,1,1, ..) a) (1.-) 6. The sequence…

A: Every subsequence has a pattern.  According to guidelince we solve only first question.

Q: Solve the given third-order differential equation by variation of parameters. y"+ 64y' = sec(8x) |3|…

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Q: ee) Using the Laplace transforms to solve the following equations: y" + 3y' + 2y = e', y (0) = 0, y'…

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Q: whetr he se linea bendent or linea dependent. S - {(-5, -3, 6), (2, -3, 1), (9, 0, 0)} O linearly…

A: To solve the following problem

Q: Solve the following differential equations using the method of undetermined coefficients. y" – 3y" +…

A: This is a problem related to second order differential equation. Solution will be conjunction of…

Q: Determine whether the sets S, and S, span the same subspace of R. s = ((0, 0, 1). (0, 1, 1), (8, 1,…

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Q: 3 5 where x and Зл < y < 2n. Assume that sin (x) = sin (y) = - Calculate cos (x – y). (Give an exact…

A: Here, sin x=35; π2&lt;x&lt;π⇒cos x=-1-sin2x=-1-352=-1-925=-25-925=-1625=-45 And, sin y=-56;…

Q: Find the demand function q = D(x), given the following elasticity conditions. E(x) = q= 235 when x=…

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Q: Fin d: ) (3x*arctan x do Evaluate: s.) dx

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point…

A: Find an equation of the plane with the given characteristics.   The plane passes through the point…

Q: Find the relative maxima and minima of y by the second-derivate test: y= x^3+6x^2+

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Q: dx. J x² + 2x + 5 x+1 11 arctan x+1 11 ;+ 2x – In [/r² + 2x + S- *+ 2x + In Vx? + 2x +5+, arctan 2 2…

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Q: A snowball is thrown upward from a bridge into a river below. The function f(t): above the surface…

A: f(t)=-16t2+47t+88t=0f(0)=88gives the bridge's height.Brige's height =88 feetB)When the snowball hits…

Q: Find dx (9x² + 16 1 1 - In |3x + V16 + 9x²| + c -In |3x – V16 + 9x²| + c Option 2 Option 3 1 1 In…

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Q: A firm's marginal profit, P, as a function of its total cost, C, is given by the equation below. a)…

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Q: |P(Vi + VE – t) dt

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Q: u = 5i + 4j, v= 3i + 2j (a) Find the projection of u onto v. (b) Find the vector component of u…

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Q: Use a trigonometric identity to find cot ( - x) if tan (x) = 8. (Express numbers in exact form. Use…

A: Topic = Trigonometry

Q: Let z(x, y) = xy where x = r cos(20) & y = r sin(30). dx dy ду az & dr az Calculate by first finding…

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Q: 7. Approximate (22 + 3) dz using four rectangles and the left endpoint method.

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Q: Find the inflection points of f(x)=2x^4+19x^3−15x^2+1 (Give your answers as a comma separated list,…

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Q: Please solve the problem using the Substitution Method. Thank you!

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Q: After a fall, a 79 kg rock climber finds himself dangling from the end of a rope that had been 13 m…

A: We have to find stress, strain and Young's modulus.

Q: A) If (xn) is a decreasing and bounded sequence. Prove that (xn) is convergent with lim xn = inf {xn…

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Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A: Given problem:- Use Lagrange multipliers to find the maximum and minimum values of f subject to the…

Q: Use the Laplace transform to solve the given integral equation. f(t) + (t – t)f(t)dr = t 1 f(t) = s“…

A: Hi! The answer to the solution was f(t)=sint. You have entered the answer incorrectly.

Q: (29.4) Determine whether the series (-1)"-1. n2 + 1 is absolutely convergent, condi- n=1 tionally…

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Q: Find the exact length of the curve. (Show all work separately and submit on HuskyCT immediately…

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: We are given a function  f(x) = e-x sin(x) -e7x cos(x)  We have to find a linear differential…

Q: Given: In(1+ x) (-1)" xn+1 _if |x| < 1 n + 1 n=0 (-1)"(n + 2) 2n+1(n + 1) Compute the exact value of…

A: Solving

Q: B) By using (A), Find lim /-

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Q: Find the directional derivative of the function at P in the direction of v. h(x, у, z) %3D хуz, Р(3,…

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Q: Integration of (Sin(x) + Cos(x))e^x is_

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Q: Find the magnitude of the resultant force and its angle from the positive x-axis 200 N 300 N 60 O a.…

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Q: Solve. y' = 7y-2; y = 3 when x=2 y = (Туре an exact answer, using radicals as needed.)

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Q: Find the Volume y=0, y= 1/x, x=1, x=4 revolving at the x-axis

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Q: int of 1 / x sqrt of 4x - x^2 dx

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Q: S 4x cos(2 – 3x) dx

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