3 2. (8x2 – 3x) (12x2 – 3) dx

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A: Given query is to interpret the marginal cost C′(25) = 4.

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Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A: Given that     D(x) = -3x/10 + 8     S(x) = x/5 + 3

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Q: 36 – x2 – y? and S2 be t Let Si be the hemisphere with Cartesian equation z = 6 – upper nappe of the…

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Q: Find the expression of the general term of the sequence given by 3 5 7 9 11 1, 2'6' 24' 120 ' 720 2n…

A: The given sequence,      1,32,56,724,9120,11720

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Q: Ley y = tan x. (a) Find the differential dy. dy = (b) Evaluate dy and Ay if x = t/3 and dx = -0.1.…

A: (a) Here f(x)=y=tanxdy=f'(x)dxdy=sec2xdx    =sec2(π3)(-0.1)    =-0.4

Q: Find the particular solution of the following ODE given that y(0)=0 and y '(0)=0: d'y +y=e* dx

A: A Particular solution of the differential equation is a solution of the form y= f(x) , which don't…

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Q: What is the difference between contanity? Unforly contanity ?

A: This question is from real analysis & our topic is uniform continuity .

Q: In Exercises 4-6, solve the given initial-value problem. dy 6. dt 21 e2t, y(1) = 0

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Q: 13. Explain in your own words what a limit is. Use several diagrams and be sure to consider lim…

A: This is a problem of limit. Based on the general formula we will answer the question.

Q: Find the particular solution of the following ODE given that y(0)=0 and y'(0)=3: d'y dy +10 +25y = 0…

A: Explanation of the answer is as follows

Q: Find the profit function for the given marginal profit and initial condition. Marginal Profit…

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Q: Find the area in the first quadrant bounded by y=4x-x² and the x-axis

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Q: 5 3 + s2-8 s2+ 3.

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Q: IGNMENT 6 (Areas by Integration) 1. Find the area in the first quadrant bounded by y = 4x-x and the…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: From Rogawski ET 2e section 10.5, exercise 7. Apply the Ratio Test to determine convergence or…

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Q: The best method for finding the antiderivative of / V5 – x²dxis | integration by parts algebraic…

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Q: Evaluate the indefinite integral. x2 dx V0.2x3 + 2.7 + C

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Q: Describe the graph of the equation. r = -6i+ (1 – t?)j + t k O It is a parabola in the plane z = -6,…

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Q: Use Newton's method to approximate a root of the equation +x + 4 =0 as follows. Let 1 = - 1 be the…

A: The given equation,    x3+x+4=0

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Q: Write the equation in standard form of the circle whose diameter has endpoints of (-2, 4) and (8,…

A: Given,            The circle whose diameter has endpoints of -2,4 and 8,-6.To find : Write the…

Q: actorise the polynomial 2x3 – 3ix² + 2x – 3i. Show all working.

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Q: 16. Interpretations of Integrals Determine the position function, s(t), of an object if the…

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Q: (rece - tan 0) de 2. J]

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Q: na the coordinates of a point P on th line and a vector parallel to the lihe. x - 2 - y + 5 = z + 4…

A: Given query is to find the coordinates of the point p and vector v.

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. yz dx dz dy = -54 -36

A: In this question we have to find integration by using triple integration.

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Q: Suppose the function f is continuous on the closed interval (1, 2], f(1) = 5, and f(2) = 9. Then,…

A: Intermediate value theorem: if “f” be a continuous function over a closed interval [a, b] with its…

Q: Determine whether the geometric series is convergent or divergent. If it converges, find its sum. 80…

A: Geometric Series : (3/4)0 + (3/4)1 + (3/4)2 + (3/4)3 + (3/4)4 + ........... 1 + 3/4 + 9/16 + 27/64 +…

Q: 2. (6x -2) dy d2

A: In the given question we will use the formula for that double integration ∫x=pq∫y=rtfx,ydydx Where…

Q: dy Suppose ax 3x + 1 ) /(3 x² + 2x) 1) V(3x2 + 2x ) and y(0) = 1. What is y(5)? O 364.327 264.227 O…

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Q: 3. Find a power series representation for the function. (Give your power series representation…

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

Q: Evaluate the integral 24 11) dx, by making the appropriate substitution: u = Ja* (2* – 11)*“dz =

A: ∫ un du =un+1n+1+C

Q: 15. Indefinite Integrals (Part 1) а) -+ cscxcot x dx 2 cosx--sinx+4csc². 3 b) 1 + sec² x dx 1+x2 c)

A: topic - indefinite integral

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Q: consider the point (-3,-3) in rectangular coordinates.  give 2 different ways to represent the…

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Q: Find the consumers' surplus at a price level of p= $160 for the price-demand equation below. p =…

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Q: Determine whether the sequence is convergent or divergent. If it converges, find the limit. {n² tan…

A: Here we have to check the convergence of the sequence.

Q: 6n Q4. Determine whether the infinite sequence converges or diverges. /Зп? + 7 n=1 If it converges,…

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Q: Find the arc length L of the graph of r(t). r(1) – ittj Vor? k. 1 r(t) = t i+tj 2 <t< 5 L = i

A: To find the arc length L  of the graph of r(t).

Q: ¤(x+4)~²dx

A: Here we have to find the given indefinite integrals.

Q: re

A: