#solve the following lup x²=-2x-y Misob & chris y'= 6x-78 y (o) = 7 x(0)=3 Then find x(0.25) to at least the nearest

Q: nd the arc length along a circle of radius 14 units subtended by an angle of 160°. Round your answer…

A: Given query is to find the arc length.

Q: 4. Consider f(x) = 6 + (x+3) ²/³. Find the extrema of this function using the first derivative test.

A: We have to find extrema by first derivative test.

Q: Compute the x(1)and x(4) for the function x(t) that satisfies the initial problem x"(t) + 2x(t) +…

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Q: © 2r²y = y(y³ + 2x³) 02r³y y(y + 3x²) 1 y² = 2² a T

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Q: Given the function f(x) = 1 (in blue), consider the functions g (in green) and h (in red) graphed…

A: It can be seen from the graph ÷ hx<fx<gx h(x) is the red graph f(x) is the blue graph g(x) is…

Q: Write a function in any form that would match the graph shown below. 10 8 Answer: f(x)= -2 20 16 12…

A: Given query is to find the function of the graph.

Q: A patient's pulse measures 63 beats per minute, 71 beats per minute, and then 115 beats per minute.…

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Q: Given the function ƒ(x) = 5x¹ + 75x³ + 315x² + 405x, and one of its factors is (x + 9), write f(x)…

A: Giv     fx=5x4+75x3+315x2+405x    One of its factors is x+9 Factor out common terms:…

Q: 14 Friday 5x² + 6y² = 9 2

A: Given query is to find the derivative of the expression.

Q: Write a polynomial with degree 4 that has a zero at x = 5 - i√√2, and a zero at x = multiplicity of…

A: Here we have to find the polynomial.

Q: Set up, but do not evaluate, an integral for the length of the curve. ST 2 x = 4 sin(y), Osys (C dy

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Q: Using calculus, find the equation of the tangent line to the function f(x) = 3 cos x when = 2.2. The…

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Q: A marketing team is going to buy promotional coffee mugs as giveaways. The manufacturing company…

A: Given query is to find average cost.

Q: Find the equations of the tangent line and normal lines to the graph of the function f(t) = et + 4…

A: To find the equation of tangent and normal.

Q: below

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Q: -6 -5 -4 -3 -2 -1 2. f''(x) > 0 8 6 4 2 3. f''(x) < 0 -4 -6 -8- -10- 1 et 2 From the function…

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Q: Determine whether the vector field is conservative. F(x,y)-8+ Sad) O conservative O not conservative

A: Formula used: dxndx=nxn-1

Q: Use the chain rule to find the derivative of 4√/5x+3x6 Type your answer without fractional or…

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Q: . Use the rule of differentiation of the scalar product, to evaluate (u v) for the following vector…

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Q: Given the partial graph of g(x) below, final all zeros. -12 g(x) = x³ + 12x² + 7x − 4 -10 O Zeros :…

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Q: b) r = 1 2sint+3cost

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Q: radius=100mm radius=100mm

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Q: The parametric equations of lines L₁ and L₂ are as follows: L₁ x= 1+ 4t y=2+7t z = ½-5t and L₂: x= 7…

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Q: Suppose the derivative of the function y=f(x) is y'=(x-4)²(x-2). At what points, if any, does the…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

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Q: 4 [ (2x³ + 5x) dx with n −1 = 10 steps

A: Given question:- Find an upper bound for ET in estimating A 5 B 5/4 C 10 D 64/25

Q: 2x x²-1 For #5-12, f(x) = 5. Find all x-intercepts (also called zeros or roots) of f 6. Use a test…

A: we will find the required.

Q: Find an equation of the plane containing points P(-2, -3,1), Q(-1, 2, -3) and R(1, -2,-4).

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Q: 5. y" - 2y + y = 14x³/2ex

A: Note:- I am doing question number 5 as you mentioning.

Q: determine whether the sequence converges or diverges. if it converges, find the limit. (if the…

A: We can find whether the sequence is convergent or divergent .

Q: where c = m = 8 6 -3 4 2 -4 -6- -8- -10- The net signed area in the above graph can be written as…

A: See below the answer and explanation

Q: √32 [ { (2) dy d su y arctan 1

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Q: 2. Solve the following a) Sketch the solid which volume is expressed by dydzdx b) Sketch the solid…

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Q: Find the area of the region bounded by the curves y = x² - 6x + 6 and y = -x² + 4x - 2.

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Q: y= у ха т x-1

A: We know, log(a/b)=log(a)-log(b) log(x)=1/x

Q: 8

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Q: Solve the corresponding differential equation given the general solution via elimination of…

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Q: how can i find the inverse to a function

A: How to find the inverse to a function

Q: 11. A rich uncle wants to make you a millionaire. How much money does he need to invest at the time…

A: We know At=Pert⇒At=Amount at time t⇒P=initial amount ⇒r=rate of interest ⇒t = time in years

Q: The graph of y = f'(x) is shown below. Assume the domain of ƒ(x) and ƒ'(x) are both ( − ∞0, -5 -4 -3…

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Q: Solve for the general solution of the given DE: O x In y + In In yl = y + c Ox In x + In In y = x +…

A: We can find the solution of the given differential equation by using the variable separable method.

Q: 1. A farmer has 2400 feet of fencing and wants to fence off a rectangular field that borders a…

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Q: Let f(x) = x³ + 6x² (a) Use the definition of a derivative or the derivative rules to find ƒ'(x) =…

A: Given function:- fx=x3+6x2-96x+19

Q: M Wed Oct 26 ... 03Q09 Please show all work on this page. 1. Graph the solution of the following…

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Q: Evaluate (2x−y) dx + (x + 9y) dy. C: x-axis from x = 0 to x = 6

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Q: Given f(x, y) = 2e¹* sin(3y) ㅠ then Vƒ(0, ▼ ƒ(0, 7/2) =

A: As we know that ∇f=∂∂xi^+∂∂yj^(f)See below the answer and calculation

Q: Solve each of the following integrals (a) [((1+1)7 + cost]+ kde dt

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Q: Find the exact length of the curve. y = ²(1₁ +x²)3/2, 0≤x≤ 4

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Q: Use the Comparison Test to determine whether the infinite series is convergent. ni Σ_n² By the…

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Q: Find a formula for the general term an of the sequence (starting with a₁): 1 1 1 1 6' 12' 18' 24' an…

A: Given is to find the formula for nth term