Question 35 If z = x arctan 0 - 4 OFF O undefined ◄ Previous (²).find əz əx at x = 0, y = 1, z = 1.

Q: IntegrateIn(a) da. о х5 5 x5 ln(x) - x5 25 x5 In(x) - - 25 x4 5 ·ln(x) + 1 X - x5 5 x5 25 +C + C + C…

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Q: 2. f (x²-16) ²/2 dx x3

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Q: Use Newton's method to approximate a root of the equation 2 sin(x) = x as follows. 1 be the initial…

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Q: Use the gradient to find the directional derivative of the function at P in the direction of v. h(x,…

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Q: O ди If u = f(x,y), x = g(w) and y = h(w), using Chain Rule, what is aw O ди aw ди Əw || O all of…

A: u=fx,y, x=gw and y=hw

Q: The value of the integral is: b 12 f(x) dx = a

A: Given that the graph of the function  To find the definite integral that represents the shaded area

Q: Find the gradient of the function at the given point. Function Point (3, 7, 2) f(x, y, z)=√√√√x² +…

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Q: Find the gradient of the function at the given point. Function Point (7,4) f(x, y) = Vf(7, 4) = x +…

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Q: x(t) = L−1 (5s² — 22s +24) s(s² - 4s+8)

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Q: Sdr Select one: O A. OB. O C. O D. (2x-1)³ V + √2x−1+C 3 +√√2r-1+C +√√2r-1+C + √√√2r-1+C (2z-1)³…

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Q: Find a point on the ellipsoid x² + 4y² + z² = 30 where the tangent plane is perpendicular to the…

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Q: Decide if Rolle's Theorem can be applied to f(x)=x² - 4x² + 4x² +1 on the interval [-1, 3]. If…

A: Rolle's theorem states that if a function f is continuous on the closed interval [a, b] and…

Q: Consider the following. w = xy cos z, x = t₁ y=t5, z = arccos t (a) Find dw/dt by using the…

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Q: Sy²sin (2y) dy

A: Integration by parts.

Q: 2. For Luce Landscaping, the total revenue and the total cost for yard maintenance of a homes are…

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Q: the first five terms of the geometric sequence. a n = 4a n-1; a 1 = -4

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Q: Consider the function f(x)=5/x^2 - 9/x^7 Let F(x) be the antiderivative of f(x)with F(1)=0 then…

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Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

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Q: J= Integrate da x+ +5 Select one: O A. 5 In Ix+51 + C O B. 7 In Ix+51 + C OC. 9 In Ix+51 + C O D. 3…

A: Let's solve given integral.

Q: Solve this ODE using the Power Series Method (2+x)y'-y=0

A: We have to solve this ODE using power series method.

Q: u⃗=5i⃗−j⃗− k; v⃗=−i⃗+5j⃗+8k.  Find the projection of u ⃗ onto v :⃗

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Q: a) Find an equation of the tangent plane to the surface at the given point. xyz = 15, (1, 3, 5) b)…

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Q: For the following telescoping series, find a formula for the nth term of the sequence of partial…

A: Here we have to find the limits and then state whether it diverges or not.

Q: Find the limit of the following sequence or determine that the sequence diverges. 2n² 1 6n² + 1 -…

A: Solve the following

Q: If 4x-2x² <f(x) <x²–2x+3 for all real numbers except for x=1, then Selected Answers: limf (x) = 2 x…

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Q: Write the form of the partial fraction decomposition of the rational expression. DO NOT find the…

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Q: Use synthetic division to show that the number given to the right of the equation is a solution of…

A: Given :

Q: f x 5 1x² =9) ² du for (x73)

A: This question is based on solution of indefinite integral by substitution method.

Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. an = tan…

A: The given sequence,   an=tan-1n

Q: Consider the function f (x) = x³ -12x^2 + 36x = x (x-6)^2 to answer the following questions.   1.…

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Q: dy Find ck by implicit differentiation. √x+ y + √xy =4

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Q: Use the given information to find the exact value of the trigonometric function.  cos θ = 1/4 , csc…

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Q: Consider the initial value problem (a) Solve the initial value problem. (enter yo for yo). y(t)= y'…

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with  so here we have…

Q: 1 Σ 3 k=4 √k -5k + 20 By the properties of the p-series, Limit Comparison Test, this series…

A: To find whether the series is convergent

Q: x(t) = £−1 x(t) = L−¹ S s² +5 3s² +9 4s ((s + 3) (s+5))

A: Last 2 question solved

Q: In reference to the following function,  f (θ) = (θ − 3) cos(θ) Explain why the graph of f lies…

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Q: Use the Comparison Test to determine whether the series converges. Σ k=1 1 8 5k° +6

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Q: Rewrite the expression as an equivalent expression that does not contain powers of trigonometric…

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Q: he method of variation of parameters to determin on of the given differential equation. y"" — y'′ =…

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Q: Determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. y(4) +…

A: We have to find the suitable form of Y(t).

Q: Use the given information to find the exact value of the trigonometric function.  cos θ = 4/5 , θ…

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Q: Find the gradient of the function at the given point f(x, y) = 5x + 4y² + 1, (1,4) Vf(1, 4) =

A: Solution of given question is written in below steps.

Q: Find dw/dt using the appropriate Chain Rule. Function w = x² + y² x = 4t, y = 5t dw dt || Value t =…

A: Given: w=x2+y2, x=4t, y=5t and t=2.   Apply the Chain Rule; dwdt=∂w∂x·dxdt+∂w∂y·dydt    ...1

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

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Q: Alice is staying in a cottage along a beautiful and straight shoreline. A point on the shoreline is…

A: We have to find minimum time in hours.

Q: G. (CHAIN RULE) 1. f(x) = (3x² - 2x+4)² 2. y = sin 2x 4 (a² - y²)² 4. g(x)= (3x² + 4x - 5)5 3. 2 =

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Q: The temperature at the point (x, y) on a metal plate is T(x, y) = Find the direction of greatest…

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Q: The gradient vector of the function f(x, y) = ln(xy) — x³ at the point (-1, 1) is (-1,-2). Select…

A: This question is based on gradient of function at a point.

Q: Given: y Find: y-intercept O P(0, 1) O P(0,1) O P(1,0) 1 (ex + 1)² no y-intercept

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Q: Solve the following initial value problem: with y(1) = 4. Put the problem in standard form. Then…

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