Homework Help for Calculus

MAT 201: Test# 3 Part 1 i Total Number ofpointsis 50 with 3 points EXTRA creditattheend Name: -lanveer. .Ahme Problem 1. (6 points) a) State the mean value Theorem x 8, how small can f(8) possibly be?

Determine convergence or divergence of the given series n=1 The series converges. The series diverges

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1 point) a)If F(x)- / 20 t -dt, then F'(z)= b) If F(x)= / 스 dt, then F'(z)= olf F(x)- / J10 t 스 dt, then F'(z) = 2+1 dt,then F'(x)- Note: You can earn partial credit on this problem. Preview MY Answers Suhmit Answwers

23 Taylor series: Problem 3 Previous Problem List Next (5 points) Find the degree 3 Taylor polynomal T, (x) centered at a = 2 of the function f(x)-(-3r + 70) 4/3. The functionf(x)-(-3x+ 70)4/3 equals its third degree Taylor polynomial Tgt centered at a=2 ﹀ Hint. Graph both of them. If it looks like they are equal, then do the algebra. Note: You can earn partial credit on this problem You have att You have unlimited attempts remaining this problem 0 times

Previous ProblemProblem List Next Problem (1 point) Find the following integral. Note that you can check your answer by differentiation (t +8)2 t2 Preview My Answers Submit Answers

C. dx Baker's Bakery has determined that its marginal profit, in dollars per cake is P().12x + 20 where x is number of cakes produced. Find the total profit from producing 50 cakes. 4 2.

Previous Problem Problem List Next Problem (1 poinm) Evaluate the following limit by first recognizing the sum as a Riemann sum for a function defined on [O, 1: lim T に1 n Preview My Answers Submit Answers You have attempted this problem 0 times. You have 3 attempts remaining

6. -1 points SEssCalc2 37 020 MI Find f. (Use C for the constant of the first antiderivative and D for the constant of the second antiderivative.) f "(x) 10x sin x fx) Need Help?Read I Talk to a Master It 7.1 points SEssCalc2 3.7.025 MI

Consider the Initial Value Problem X, dt (a) Find the eigenvalues and eigenvectors for the coefficient matrix and λ2 = (b) Find the solution to the initial value problem. Give your solution in real form. x(t) An ellipse with clockwise orientation An ellipse with counterclockwise orientation Spiral, spiraling outward in the clockwise direction Spiral, spiraling outward in the counterclockwise direction Spiral, spiraling inward in the clockwise direction Spiral, spiraling inward in the counterclockwise direction Pick one description of the trajectory

Evaluate im

(1 point) Get help entering answersSee a similar example (.PDF) Use a definite integral to find area of the region under the curve y 2 - 5r2 and above the r-axis Area Note: Do not use a calculator to compute your answer, keep it in exact form.

Evaluate exactly the integralJ d, where R is the region shown below. 2

e. Approximate the value of your integral in part "d"using Simpson's Rule with n - 4 subintervals. Round your answer to the nearest hundredth.

If the profit function for a product is P(x)-4900x + 70x2--'-154,000 dollars, selling how many items, x, will produce a maximum profit? x items Find the maximum profit. Need Help?Read It 02 points ! Previous Answers HarMathAp11 10.3.030. My Notes Ask Your Teache x2 dollars, how many units, x, should it produce to A firm can produce 100 units per week. If its total cost unction is c = 800 + 1300x dollars and its total revenue function is R = 1400 maximize its profit? Xunits Find the maximum profit.