Find the gradient of the function at the given point. w = x tan(y + z), (18, 4, –1) Vw(18, 4, -1) =| tan(3)i+ 9. 9 j+ k

Q: 1. Given the position function: s(t) = 2t – 21:2 + 60t, te[0,6], time in seconds, position in…

A: 1.Position function:s(t)=2t3-21t2+60t,  0≤t≤6A)velocity…

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Q: Water fills a bathtub at a rate of r(t) liters per minute (where t is the time in minutes). What…

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Q: Find the arc length of the parametric curve. = 14 cos(t), y = 14 sin(t), z = 48t; 0<t <T

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Q: 13 with A in Quadrant III, and cos(B) 85 8 with B in Quadrant I. Find cos(A+B). 17 You are given…

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Q: 4. Find the average value of the function over [1,4] and all values of x in this interval for which…

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Q: sin (20) 2 J 1+ sin² (0)

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Q: 3. Determine the derivative of each of the following. a) y = e-*sinx b) y = 2* + 3* c) f(x) = xcos2x…

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Q: dv = dx = v=x V = 1-a'x 1-a'x

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Q: 48 A curve is given by the implicit equation x2 + xy+y2 12 a Find the coordinates of the stationary…

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Q: Identify and sketch the graph of the following equations in R. (a) a2 + 2y? + z2 – 8x + 12y – 2z +…

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Q: Water fills a bathtub at a rate of r(t) liters per minute (where t is the time in minutes). s r(t)…

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Q: Sketch the graph of the given polar equations. 5 17. 0 = %3D

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Q: 1. Find the general solution of the system with the following equations. lip = -9x + 5y dt dr = 2x –…

A: Given system of differential equationdxdt=2x-2y    and    dydt=-9x+5yLet    X=xy      , A=2-2-9…

Q: The nh³ (2x) sech (2x) dx is equal to O A. sech³ (2x) sech³(2x) +C 3 10 O B. tanh°(2x) +C OC. sech³…

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Q: Hw2 Integrate the fottowing functens over the given regiont- f cxxy) and %3D f(xay) by-2x and 2- %3D…

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Q: A radioactive substance decays according to A=A0e^−0.0048t, where A0 is the initial amount and t is…

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Q: Consider a triangle ABC like the one below. Suppose that a=57, b=71, and c=70. (The figure is not…

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Q: Q7. Construct an undirected retwork diagram using the given set of nodes and arcs: Nodes (A, B. C.…

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Q: Evaluate the iterated integral by converting to polar coordinates. (Round your answer to four…

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Q: (a) A spring exerts a force of 12.8N when stretched 1.6m beyond its natural length. Assuming that…

A: Dear learner, As per our guidelines we can provide the solution for first one only. Kindly post…

Q: Integrate completely

A: Solution-

Q: 1 xy Let f (x,y) =In . Then f (1. – 1)=..... 3x²+4y3 XX

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Q: Find the derivative of the following functions by applying "Delta Metho Show your complete solution.…

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Q: (26ー1) 不t8

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Q: Consider a function f(x) whose domain is a < x < b Given the graph of f'(x) answer the following…

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Q: SNTy+1-2dy VVy+1-2 and can be evaluated conveniently if we let x =V dy = 4x(x² +2)dx. A True B False

A: Given problem:-

Q: Find the distance between the skew lines: y = 1+3t, y = 9, x = 3 + 8t, z = 4 – 9t x = 5 – t, z = 4+…

A: Given equation of line L1: 3+8t   , y=1+3t   , z=4-9t L2:   x=5-t  , y=9   , z=4+8t

Q: 2 y = cos( x 4

A: answer is in next step

Q: Given the differential equation y' = 4x y Find the next two Implicit derivatives of the differential…

A: The given differential equation is y'=4xy ............................................. (1)…

Q: f'x) = g'(x) on [4, 7] %3D S(4) = 7 %3D g(4) = -9 f(7) = 6

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Q: Find the derivative of the following functions by applying "Delta Method". Show your complete…

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Q: A radioactive substance decays according to A=A0e^−0.0037t, where A0 is the initial amount and t is…

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Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx2 + y?, (6,…

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Q: (n!)2 (x-2)2 is equal to The radius of convergence of the series .... .... n=1 3" (2n)!

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Q: i sin(In(-32)) = cos(In(-32²). True or False: dx True O False

A: Topic = Derivative FALSE

Q: Question 10

A: We have to find equation of plane that is parallel to the plane 6x-5y+8z+18 =0 and  the pale passes…

Q: Using terms like "secant line" and "tangent line", explain how evaluating f(3+ h) – f(3) lim gives…

A: This is a problem related to derivation of the general formula of differentiation.

Q: Lagrange Multipliers Use Lagrange Multipliers to find the maximum and minimum values of f(x, y, 2) =…

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Q: 4. Determine the equation of the tangent line to y = x²sin2x, at x = - R

A: Follow the procedure given below.

Q: The The Mean-Value Theorem guarantees there is at least one value of c on [-3, 3] such that f' (c) =…

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Q: Suppose that f(1) = 2, f(4) = 8, f'(1) = 10, f'(4) = -3, and f" is continuous. Find the 4 value of…

A: We have to find the value of the given integral.

Q: Find the equation of the line tangent to Y 3x2 + x + 1 at x = -3. у 3 —17г — 26 O y = 6x – 3 O y =…

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Q: dz evaluated at dt 4x If z=tan In with x=sec t and y=e". Then the value of y t= 0 is equal to ...…

A: Given,             z=tanln4x2y with x=sect and y=e2t.To find : The value of dzdt at t=0.

Q: Q5. Find if y = Vcos x - 7*

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Q: Consider the ellipse with the given characteristics and center at the origin. foci: (+3, 0); major…

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Q: Use the indicated change of variables to evaluate the double integral. 8(x + y)e* - Y dA x = u + v)…

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Q: Find the derivative of the following functions and simply it whenever possible. 7. y = (xe)x

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Q: Solve the initial value problem. dv = + x, x > 0; y(1) = 5

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Q: evaluate the function f(x)=−3x2+2x at the given input a) f (- 2 ) b) f (a)

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