y=x4/5, x=0, y=4

Q: A wooden artifact from an ancient tomb contains 60 percent of the carbon-14 that is present in…

A: Please refer to the image below

Q: 19. 2x³y = y(y² + 3x²).

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Q: The function f(x) = 2x³ - 39x² + 216x 3 has two critical numbers. The smaller one is x = and the…

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Q: 14-Consider the Lie nard equation - (u-x²)x + x = 0. The Jacobian matrix for the linearized system…

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Q: Proceed to What I Know Chart for this part. 4) Activity 5: Check for Understanding (10 mins) ad of…

A: To verify if y=e-3x is a solution of given differential equation or not.

Q: Find the value of C so that y(t) = Ce2t satisfies the initial condition y(1)=1

A: Substitute t=1

Q: The Ratio Test can be used to determine whether O True O False converges.

A: Given ∑1n3

Q: 1. Evaluate the following matrix operation: [5 3 a. A = 1 -4-3-1 L2 b. |B| C. C = 31-33+231 5+20 0 1…

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Q: 2. d. lim f(x) = e. x-0+ f lim_f(x) = lim f(x) =

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Q: d) f(a) = (2a-1)² 2a + 5a

A: Solution ) f (a) = ( 2a - 1 )2/2a  + 5a  We know that  ( a - b )2 = a2 - 2ab + b2 f(a) = (4a2 - 4a +…

Q: Below is the function f(x)., 17+ 6 5 4 3 2 7 -7 -6 -5 -4 -3/-2 -7 -7 -2 -3 -4 -6 71 1 2 3 4 5 6 7…

A: Please see the below picture for detailed solution.

Q: Consider the following function. f(x) = (x-8)e* (a) Find the critical numbers of f. (Enter your…

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Q: Solve the following initial value problem for the unknown function y(x) a) y' = 2xy², y(1) == b) 2…

A: Topic:- application of integration

Q: What is the equation of the tangent line to y=−2x^3−x^2+4x+3 at x=3? Write the tangent line in…

A: We have to find the equation of tangent line.

Q: Find the tangential and normal components of acceleration. r(t) = (cos(4t), sin(4t), 3) ат an = II

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Q: Let the position function of a particle be r = (t, t², 0). Find the normal component of the…

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Q: . Given TR = 45Q -0.5 Q², TC = Q³-8Q² + 57Q + 2, find out the level of : output at which firm…

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Q: -10 -5 f(x) 10 10 5 10

A: Note: Since the student has posted 2 sub-parts of the question in which the part (1) is complete and…

Q: Please correct me if i'm wrong. The points where f(x) appears to concave downward appears to be…

A: Given , the point where f(x) appears to be concave downward appears to be (-2 , 2.9 )

Q: Evaluate the limit of the given functions. 3x² - 17x+ 20 25x + 36 1. 2. lim x+44x² t³-1 1 lim t-1…

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Q: VIBDIC he following DES. to E visbiol

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Q: 7. Find the equation of a normal to y = x³ - 3x²+x-1 at x = 3

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Q: ✓ ["1 [™ f(a)da - [* f(x)dx = - Sª f(x)dx and b where a = If what are the bounds of integration for…

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Q: Part 1 A rectangular tank with a square bottom has base side lengths of 3 feet and a height of 10…

A: Disclaimer:  “Since you have asked multiple questions, we will solve the first question for you. If…

Q: 9. Method of undetermined coefficients y" -y = 3et ○ y = c₁e³ + c₂e²¹ + 1/{xe* -X y = ₁² + c₂e²x +…

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Q: = Set up the definite integral required to find the area of the region between the graph of y y = 2x…

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Q: f(x) = √x²-2 7+|x6| S if x < 2 if x ≥ 2

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Q: Use any method to find the volume, V, of the solid obtained by rotating the region enclosed by the…

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Q: Solve: dz + 4x = yº O 11r¹y+y¹¹ = C O 1lry - y¹¹ = C O 11xy + y = C O 11x¹y - y¹ = C

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Q: 12 76 Exercises (if possib 15. y = 5x + 3 17. y = -x - 1 19. y − 5 = 0 0 1 23. 7x - 6y = 30 020…

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Q: Given |F₁ = 85 N and |F₂| = 125 N and they are acting at an angle of 14 a) Find the magnitude of the…

A: Topic:- application of vector algebra and trigonometry

Q: uppose a company's profits are given by P = x2y, where x is the amount of money they spend on TV…

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Q: 3. Find the vertex, focus, and equation of the directrix for the conic given by (x + 1)² = -20(y -…

A: We have to find focus, vertex and equation of directrix.

Q: The position function of an object is given by r(t) = (t2, 8t, t²- 28t). At what time is the speed a…

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Q: If {an} and {bn} are divergent, then {an bn} is divergent. Select one: O True O False

A: The objective of the question is determine the choosing the correct option.

Q: Solve: xy + y + 4x³y¹ = 0 O 6ry³ + Cr³y³ = 1 O 15r y³ +Cr³y³ = 4 O9r³y³ + Cr³y³ = 5 O 2r³y³ + Cr³y³…

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Q: 4) Activity 5: Check for Understanding (10 mins) A. Obtain the general solution of the given…

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Q: Find the values of x, y and z that correspond to the critical point of the function 2 = f(x, y) =…

A: The given function fx,y=4x2+8x+7y+3y2 To find the critical points of the function

Q: 2. If f: R→→ R satisfies f(1) = 3 and f'(x) ≥2 for all x's, how small can f(7) be?

A: Here we have to find the smallest value of f(7).

Q: Find the shortest distance r1 between the two lines given by r₁ (t) = (3 + t, 3t, 5 – 4t) and r₂ (t)…

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Q: A y 10+ -10-8 -6-4 -2 8 9 2 2 7 6 8 -10- 2 45 8~9 10 X

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Q: Find -(4²). Type In(x) for the natural logarithm function. da (4²)

A: Topic = Derivative

Q: 2. Suppose a population of insects grows exponentially, there were 130 insects after the third day…

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Q: Find the limit of s(n) as n → ∞. [n(n + 1)] 2 s(n) 1 [n(n n²

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Q: A3. SOLVE STEP BY STEP IN DIGITAL FORMAT Define g(8) for the given function so that it is continuous…

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Q: dv/du = (uv)² — 2(u — v) — 2.

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Q: er of cars produced when a dollars is spent on labor and y dollars is spent on capital invested by 1…

A: Topic:- application of derivatives

Q: d) Explain what happens to p't) for t greater than the value you found in part c. Give one reason…

A: p'(t) for t greater than the value of 10 becomes stable and reaches to a threshold value

Q: Question 1 Find lim f(x) given the graph of f(x) shown below. x-5 +++ -10-9-8-7- Y 3 4 5 6 7 9 10 x

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Q: 2. f is a differentiable function on the interval [0, 1] and g(x) = f(2x). The table below gives…

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