Use the Chain Rule to compute the partial derivative. би +о In (3u? + uv) = 3u + uv

Q: xy? + x² + y² = 1 %3D

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Q: A radio active element (x) has a half-life of 38 hours. Initially, X = X0 %3D . Determine the amount...

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Q: 2x+ln(x) С. у %3 Vx

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Q: dy find dx

A: The given function,   ex+y=xy2

Q: Use the Ratio Test or the Root Test to determine whether the following series converges absolutely o...

A: This is a problem of series calculation. Based on the root test we will determine the nature of seri...

Q: Find the area bounded by the curve y = x2, AB is tangent to this curve at point P (2,4) and the x- a...

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Q: Use substitution to change the integral (3x + 4y)dA over the parallelogram with corners (0, 0), (...

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Q: By definition, if two lines L1 and L2 do not intersect, then L1 and L2 are parallel. If two planes i...

A: Given

Q: 8) A table of values for h(t) on the interval [0, 10] is shown below. Use a left-endpoint rectangle ...

A: Explained below

Q: SHOW THAT : csc² (2 cot¯ /x -1 dx X - 1 Vx +x/x

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Q: Please

A: We will find the measure of the angles. 

Q: Help Save & Exit Judith receives an annual salary of $37,500 based on a 37.5-hour workweek. What are...

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Q: Directions: Evaluate the following limits uring table of values. lim to

A: Let L is the value of given Limit.

Q: Let a and b be non-negative real numbers. Provide an example of an improper integral of the form f(x...

A: Given problem :-

Q: A boat with its load weighs 1,435 N. If the force exerted upon the boat by the motor in the directio...

A: F=72- 2vma = 72- 2v14359.81 dvdt=72-2v∫(146.3) dv72-2v=∫ dtt=-146.32ln(72-2v)+Cv=0 at t=0C=146.32ln(...

Q: Use synthetic division to decide whether the given number k is a zero of the polynomial function. If...

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Q: Exercise 1: Directions: Evaluate the following integrals. Show your complete solutions. Identify the...

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Q: #1: Use integration by parts to evaluate the following integral. Inx

A: Explanation of the answer is as follows

Q: Find the eccentricity of a hyperbola whose transverse axis and conjugate axis are equal in length O ...

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Q: 10. W (꼭프) 22π 3

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Q: 1 Find the equation of the tangent line to the curve y = 3 11 5r3 - a2 + 6x – 6 at its point of inte...

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Q: Find the area bounded by the curve y = x2, AB is tangent to this curve at point P (2,4) and the x- a...

A: Since you have asked a question with multiple parts in a single request we would be answering only t...

Q: Q5. Find the Laplace Transform of the functions x(t) and yıt), which satisfy the coupledd first orde...

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Q: If y, and y, are linearly independent solutions of ty" + 3y' + te²"y = 0 and if W(y , y2)(1) = 3, fi...

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Q: Find the area bounded by the curves 4y-x²=0 and y²-4x=0 A. For points of intersection. B. Area bound...

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Q: y2sinx + y = arctanx, solve for y’

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Q: a) A guy picks up a positive rational number and multiplies it by itself three times i.e. he calcula...

A: A guy picks up a positive rational number ab

Q: find (y') by Implicit differentiation e(2x+3y) = x² – In(xy³) 1 Add file

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Q: Find the area of the parallelogram that has u = i - j+ 2k and v = 3j + 2k as adjacent sides. V NOTE:...

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Q: In a race, Paul starts running from rest at a constant acceleration of 3.5 m/s2. He is running in a ...

A: i) after 2.5 second distance = ? distance = v0t + at2/2 distance = 0 + (3.5)(2.5)2/2 distance = 10.9...

Q: Find the solution of the following Differential Equations 2) y-16y 0

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: 5. The management of Porter Airlines finds that its monthly marginal revenue can be approximated by ...

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Q: Consider the series n(1+ ln? n) n=1 (a) Verify that the given series satisfies the conditions of the...

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Q: Consider the following. (If an answer does not exist, enter DNE.) f(x) = x* - 4x2 + 3 (a) Find the i...

A: The given function is f(x)=12x4-4x2+3 ..................................................... (1)  Dif...

Q: Question 14 The domain of the following function (x.v) =In(x-r+1) is given by the equation:

A: The given function is: f(x,y)=ln(x-y+1)

Q: 2-x 4x + 4x - -m(4x* + 4x – 3) + In| (2x 2x- – 3 x +1 x(x + 3)(x + 2)(x – 1) 1 (x + 3)*(x – 1)ª I dx...

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Q: 1. SSin³ 3x Cos² 3x dx 2. JSin* 2пу Сos$ 2пy dy 3. JSin8 3пx Сos83пх dx 4. STan“ x dx

A: 1) Given:        ∫sin53x cos23x dx Using powers of sine and cosine :      substitute u=3x→dudx=3→dx=...

Q: goldsmith finds that the demand for gold is governed by p(x) = -x² + kx, here x is in (troy) ounces,...

A: Solution is written in below steps.

Q: 3. Find the angles between the vectors: u = 2i + j, v = i + 2j – k b. u = 2i – 2j + k, v= 3i + 4k а....

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Q: Show detailed solution to the following using ti integration. x'dx 1. Integration by Parts J Vx4-5

A: Let's find. 

Q: A function is said to have a horizontal asymptote if either the limit at infinity exists or the limi...

A: limx→∞-4x12+2xApply L-Hospital Rulelimx→∞-42=-2limx→∞-4x12+2x=-2

Q: by L'Hopital's rule 1-cos(x) lim x2

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Q: Solve the equation z- 12=j(9-2z) where z is the complex conjugate of z

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Vx +1- 1 1. Determine whether the function f defined by f(x) is continuous or discontinuos at a = 0....

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Q: iS (2) = (x + ay² – 2xy) + i(bx² – y + 2xy) is anal ytic, then the values ofa and b is

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Q: Evaluate the following integrals: Show CLEAN AND CLEAR solutions also indicate what rules/formulas y...

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Q: 4. A container with square base, vertical sides, and open top is to be made from 1000 ft2 of materia...

A: Volume of box is x2 y where x is the base and y is height of the box. 

Q: Evaluate the integral using integration by parts. Indicate the u, du, dv, and v. Full solution.

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Q: lim ("V52"-1

A: Given: limn→∞52n-12n   We know that the radical rule; amn=amn