Find the derivative of y=-3x²-2x-4 from first principles (using the IROC function and algebraic manipulation).

Q: Help me with this calculus 2 problem. Show steps clearly please. n limɲ→→ →→ ∞0 ( √√/m² +2″) n!

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Q: Verify that the following first-order ODE is a linear differential equation. If so, find its general…

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Q: c) an = (−1)n In

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Q: Let Pn be the vector space of all polynomials of degree n or less in the variable x. Let D: P3 → P2…

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Q: Use geometry or symmetry, or both, to evaluate the double integral. 1 (Sax³ + 3by 5 + 5ax5 a² − x²…

A: We have to evaluate: ∫∫D5ax5+3by5+a2-x2dA, D=-a, a×-b, b.

Q: 4. Determine the convergence behavior of the series Σan for: (a) an √n+1-√n (b) an =(√n+1-√√n)/n…

A: This question is about sequence and series.

Q: Hints: Find the general solution y(x) of the following ODE: dy (x + 1) + xy² = -y-y². dx Classify…

A: Given that the ordinary differential equation…

Q: Consider a linear transformation T: R² R2 and a basis B = (₁, ₂) of R² with and T(₂)=40+30₂.…

A: according to policy of bartleby , dear student we can answer only ist 3 subparts

Q: how that an = 2n+1 is a solution to the recurrence relation an = 2an-1-1 with a₁ =3.

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: Let f(x) be a continuous and differentiable function, and consider the following table. You may…

A: Critical points for f"(x) : All those points of x for which f"(x) is either zero or undefined.

Q: = The boundary value problem y" + λy = 0 y'(0) = 0 y' (L) = 0 has a solution : 0 yo(x): = 1. Find…

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Q: 5. Use an interval of 0.001 to determine the instantaneous rate of change of the function g(z) = 3z³…

A: To find the instantaneous rate of change of the function g(z) at z = -3, we need to use the…

Q: Assume that you are 23 years old and started saving for retirement on January 1, 2023. You plan to…

A: Calculate the final amount in the retirement account after 45 years   To calculate the final amount…

Q: 1. Prove or Disprove the following. a. If {an} is Cauchy sequence and bn is bounded, then {anbn} is…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Consider the following convergent series. Complete parts a through d below. Σ Ta|N

A: The integral test states that if f(x) is a continuous, positive, and decreasing function on [n, ∞)…

Q: Problem #5: Problem #5: Use the divergence theorem to find the outward flux F.nds of the vector…

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Q: 3. Verify the divergence theorem calculating in two different ways the flux of vector field: F = (x,…

A: It is verified by calculating both sides.

Q: In Exercises 1-4, show that A and B are not similar matrices. 4. A = C 1 0 0 2 0 1 -1 B = 2 11 01 0…

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Q: 3. Find dx at x = 1 x y = f(x) also find 1 1 at x = 1. 2 8 3 27 4 64 5 125 6 216

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Q: 2. Let f: RR be defined by x EnQ f(x) = { 4x, x² +4, x EQ Use the sequential criterion to show that…

A: f:ℝ→ℝfx=4x, x∈nℚx2+4, x∈ℚ

Q: Consider the following differential equation: y′ =xe^3x −2y, y(0)=0 0≤x≤1, 0≤y≤3.5 show that the…

A: The given differential equation is: y'=xe3x−2y,y(0)=0,0≤x≤1,0≤y≤3.5

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Q: = Find the area enclosed by one loop of the lemniscate with equation ² figure. Choose your limits of…

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Q: a) Using the Cauchy Integral formula (or otherwise) npute the following integrals Cashz 121=1 Compu…

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Q: 4.12 Let I be the set of real numbers that are not rational; elements of II are called irrational…

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A: According to bartleby guidelines we do only first three subparts and rest part can be reposted.

Q: I. Set up a triple integral in Cartesian coordinates whose value gives the average temperature of…

A: Wolfram Alpha is a computational search engine that allows users to input natural language queries…

Q: In this problem you will derive the formula for the Laplace transform of the second derivative of a…

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Q: The cost to a distributor for a product is $36. The distributor sells the product for $67 to the…

A: Given that The cost to a distributor for a product is $36. The distributor sells the product for $67…

Q: 3. Given matris M below, show that [sin² A Msin B sin C det Msin(A-I) sin(B-C) sin(CA) sin A cos A…

A: Given that the matrix M=sin2Asin A cos Acos2Asin2Bsin B cos Bcos2Bsin2Csin C cos Ccos2C

Q: (8) How many integers in the set [1,000] = {1, 2, ..., 1,000} are (a) divisible by 5? divisible by…

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Q: Suppose f: [a, b] → R is a bounded function, and c is a positive constant. True or false: The upper…

A: Given that: ∫ab¯c f(x)dx=c∫ab¯f(x)dx. To show that the given expression is true or false.

Q: Determine whether A is diagonalizable. If so, find an invertible matrix P and a diagonal matrix D…

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Q: (d) Write equations for the directrix and axis of symmetry.

A: The equation of the parabola is 2x2=18y

Q: Evaluate the integral 1 √xe √x : ² (2e √x - 3) dx 2 CSC

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Q: 3. Suppose V = {r²,r, 1} and U = {3x²,2-1,4} are two ordered bases for P₂. That is, in the notation…

A: 3.(a) Two ordered bases for P2 are V={x2,x,1}U={3x2,x-1,4}. Thus,…

Q: (a) Find the series' radius and interval of convergence. Find the values of x for which the series…

A: I have explained everything with in the solution. Please go through that.

Q: Find a general solution of the system x'(t) = Ax(t) for the given matrix A. -14 -5 15 A = 13 5-12 -…

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Q: Using the extended CIF compute: (Justify your steps! dz eiz ii) S. 121=2 (2+i)5

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Q: Assume CCR is closed and a € C. Set B = C \ {a}. When is B closed? (Find necessary and sufficient…

A: C⊆R is closed and a∈C.Set B=C \ a.

Q: (e) at least one of (14) How many distinct positive divisors does a number N have in each case? (a)…

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Q: B. A new gym has opened at Brentwood. The Fitness Supervisor has to make a decision on how he should…

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Q: Use a graph or level curves or both to find the local maximum and minimum values and saddle points…

A: The function is fx,y= sinx + siny + sinx+y + 1,   on interval  0 ≤ x ≤ 2π,    0 ≤ y ≤ 2π To Find:…

Q: d the work done by F= 1, and the curve yax The amount of work done is Type a simplified fraction) in…

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Q: A lion ate a sheep in 4 hours, a leopard ate a sheep in 5 hours, and a bear in 6. If one sheep is…

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Q: verge or diverge? Show your work. nverge or diverge? Show your work. onverge or diverge? Show your…

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Q: Let f(x) = x, 0 ≤ x ≤ 1,0 otherwise. Find f3, the orthogonal space V3, in terms of the projections…

A: The Haar approximation space is a sequence of finite-dimensional subspaces of the space of…

Q: 6. Are the following true or false, and prove your answers: (a) If A CR is bounded, then sup(A) € A…

A: We have to tell following statements are true or false?