Which of the following differential equations are separable? Select all that apply. 0 U 0 dy (y - 1) sin(x²) dx dy = In(x + y) dx dy dx xy = x dy cây dx

Q: Problem 8. Find critical numbers of (1) f(x)=2³-3x²+1, (2) f(x)=³/5(4-x).

A: Given :f(x)=x3-3x2+1f(x)=x35(4-x)

Q: Test the convergence and divergence of the following series, find the sum of convergent series.…

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Q: P show that (α) |=1 = 12/

A: A detailed solution is given below.

Q: 2

A: We will solve the problem

Q: 25. fx sec²xdx is a. x tanx - In cos x b. x tan x + In cos x c. x tan x-sec²x + C d. x tanx+sec²x +…

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Q: Use the given transformation to evaluate the integral. J (8x + 8y) dA, where R is the parallelogram…

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Q: Find 1+sin -cos I COS In | sin - z+cos In In 1+tan +C +C +C +C

A: We can evaluate the given integral by using the substitution u = tan (x/2).

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y…

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Q: Question 1 Approximate 3.92√3.9 without using a calculator. Use the methods learned in class. Do not…

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Q: (2x5-x3-1)dx x³ - 4x

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Q: Arley's Bakery makes fat-free cookies that cost $1.70 each. Arley expects 30% of the cookies to fall…

A: Total cookies = 200 Total cost = 200 * 1.7 = 340  Arley wants 45% markup  total revenue = 340 * 1.45…

Q: 2. A cylindrical tank of radius 20 feet is being filled with water at the rate of 600 cubic feet per…

A: Given that,  Radius of cylindrical tank= 20 feet Water is filled at a rate of 600 cubic feet per…

Q: Q5/Change the polar equation 2r = 2 + cos8.(2r - 1) to Cartesian equation

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Q: Problem 7. The base of a 50-foot ladder is being pulled away from a wall at a rate of 10 feet per…

A: Given: Length of ladder = 50 foot Rate at which it is pulled, VC = 10 feet/sec

Q: 1. A stone is dropped into a still pond. Concentric circular ripples spread out and radius of…

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Q: 1) In medieval times there were 10,000 people living in a city that was struck by a plague so that…

A: This is a problem related to differential equation. based on the general formula of decay law we…

Q: 7. Which of the following are anti-derivatives of f(x) = sin x cos x? I. F(x)= sin²x 2 II. F(x)=…

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Q: Numerical Response #4: A close who will get to ride to grad in an girls in the limo then there are

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Q: Solve the following equations for x: a) 2e6x = 18 b) c) d) e) In x²: In x f) Inx² - In 25 2 And…

A: (a) 2e6x=18 e6x=9 Taking ln both side we get lne6x=ln9 6x=ln9 6x=2ln3 x=(1/3)ln3 x=0.36620…

Q: Find the volume of the solid generated by revolving the region about the given line. The region in…

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Q: 8 For the function y = f(x) = 7+2²' a. Find the slope of the line tangent to its inverse function at…

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Q: dN (t) dt = g(N(t)) = a · N(t) · ( 1 · (1-N()) 9 M N (0) = No > 0,

A: We have to find the logistic curve .

Q: Given the equation z=f(x, y) = ln(x² + 2y² +1) with the change of variables x=3-1² and y = 4t-1³,…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: se the Ratio Test to determine if each series converges or diverges. 3n+2 ΙΣ Inn 2 n=2

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Q: Q21 A\ Are this function continuous f(x) x³-1 at xo = 1?

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Q: A projectile is launched from the ground with initial velocity & 3 ft per sec. The parametric…

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Q: 3. a) Consider the system k-2 4 [ 0 k-2 0 0 Find the value(s) of k such that the system has only one…

A: As per bertleby guideline I have to solve only question 3 with subparts. For answer to others…

Q: Find the volume of the solid generated by revolving the region about the given line. The region in…

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Q: 0 Determine which of the following are singular value decompositons for A = 3 VIS √13 1. |69| 0 3 13…

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Q: Q1. Test the convergence and divergence of 3n cosnn 2. Ση=1 (n+1)! 3. Σ=1 3!n!3n 4n-1 8 67² 210-√n…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: A manufacturer of canned food packages the product in cylindrical tin cans. The volume of each can…

A: Given

Q: Jason acquired a $10,000.00, 91-day, Province of Alberta T-bill on its date of issue for a price of…

A: Given problem:- Jason acquired a $10,000.00, 91-day, Province of Alberta T-bill on its date of issue…

Q: Prove the trigonometric identity. tanzcot z sec² z CSC Z CUSZ Drag an expression to each box to…

A: Trigonometric

Q: 18. Evaluate fe³x cos 8x dx e3x a. [8sin 8x 3 cos 8x] + C 3x b. [8sin 8x + 3 cos 8x] + C 73 C. d.…

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Q: 5. To obtain f¹(x) = -x +3+5, the domain of f(x) must be: A. x≤5 B. X25 C. x≤-3 D. x≥-3

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 3. Given the equation y = x³ - 3x² + 3, determine all Critical Points and classify using the SECOND…

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Q: Q.2B) If we substitute the polar coordinate x = r.cose & y = r.sine continuous function w=f(x,y)…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 1. Let matrices be 6 -2 -21 [3 1 -4 0 A = 10 -3 1 C=0-2 14 0 L-10 5 1 -4 0 11 5 a = 1, b = [308]…

A: PLEASE REPOST THE QUESTION TO GET THE REMAINING PART TO BE SOLVED

Q: For the function y = f(x) 8 1+z² a. Find the slope of the line tangent to its inverse function at…

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Q: a. b. C. [(x² + 2x³ + 4x + 10) dx [ 6xe*² dx [ In x dx

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Q: will have a critical number -1 and a x Find a and b so that the curve y = ax³ + corresponding…

A: Given :f(x) = y=ax3+bx

Q: b. lim a-1 ²ln(1-x) X -dx

A: Given

Q: H. Evaluate coordinates. 4-y² 4-x²-y² 1 x²+y²+z² So dzdxdy by using spherical or cylindrical

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Q: Find the solution set of the following equation if x € [-2TT,3TT[ [2sen(4x) − 1] × [1 + tan(x)] = 0…

A: We need to find solution set.

Q: Sy² sin(3y³ + 4) dy

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Q: 7. Prove that: (3) (a) (4) (b) sin20 cos20-1 in (-0) + cos (- 0) = cost -cote =

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Q: fr² cos 3rdr

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Q: Three regions are defined in the figure. y C (0,3 R₂ B(1,3

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Q: Determine the instantaneous rate of change of the function y = 5x + 2x² 1 with respect to x at x-4.…

A: Find instantaneous rate of change

Q: B. Show that the non-linear Bernoulli equation y' + p(x)y = g(x)ya such that (a # 1) is be…

A: We can transform the given Bernoulli differential equation to linear ODE by using the substitution u…