Question 3 1 pts Suppose f(x) = sizi t2 – 6t + 9dt For which positive...
Suppose S t2 - 10t + 25dt For which positive value of x does f' (3) equal zero? Question 4 Evaluate the integral S(t+ 1)dt (IMPORTANT: Enter the EXACT answer. For example, enter 1/2 instead of 0.5)
Question 17 5 pts Suppose f(x) = [Vť – 5t + 6.25 dt. For which positive value of x, does f'(x) equal O? 0 O 2.5 There is no such value of x. V2.5 O 1 Question 16 5 pts Use the Fundamental Theorem of Calculus to find the derivative, f'(x), of va t2 f(x) = S. dt. 4+ 3t4 1 x2 4 + 3x4 х 4 + 3x2 a 4 + 3x2 2 (4 + 3x2) -C 2+(4+ 3x2)...
Question 2 6 pts Let T2(x) be the Taylor polynomial for f(x) = 2x + 2 centered at c = 1. Fill in the blanks in the paragraph below. Use exact values. The Error Notice that 4.2 = f(1.1) T2(1.1) = Bound says that the maximum possible value of the error is Tonal x-c"+1 1V 4.2 -T2(1.1) < (n + 1)! where K = and 2 - 1+1 (n+1)! Question 3 4 pts Fill in the blank. Use exact values...
Problem 4. (6 pts) (a) Suppose that f(x) is a continuous function on 2,7], positive on (2,5) and negative on (5, 7). « [ r(a) dr = 11 and ſsaw) dr = 3, then ind ſis(2) dr. .10 f(x) (b) Suppose that is an even and integrable function. If "L" 3, . f(x) da = 5, then find L" (a) dr.
Question 1 1 pts Suppose X is a normal random variable with a mean equal to 50 and a standard deviation equal to 5. Find the value of: PIX < 60) Your answer should include four decimal places. Question 2 1 pts Suppose X is a normal random variable with a mean equal to 50 and a standard deviation equal to 5. Find the value of: PIX > 43) Your answer should include four decimal places.
3.11 Theorem. Suppose f(x)-a"x" + an-lx"-+ + ao is a poly- nomial of degree n > 0 and suppose an > 0. Then there is an integer k such that ifx >k, then f(x)> 0. Note: We are only assuming that the leading coefficient an is greater than zero. The other coefficients may be positive or negative or zero. The next theorem extends the idea that polynomials get positive and roughly states that not only do they get positive, but...
Question 2 2 pts Suppose F(x) = 2x+1 To the nearest thousandth, what is the value of F'(21)?
Question 3 1 pts Suppose X is a normal random variable with a mean equal to 50 and a standard deviation equal to 5. Find the value of: P(46 < X < 58) Your answer should include four decimal places. Question 4 1 pts Section 8.6: A basketball player has a 75% chance of making a free throw. (Assume that the throws are independent of each other.) What is the probability of her making 100 or more free throws in...
Question 6 6 pts Suppose that f(x, y, z) is a scalar-valued function and F(x, y, z) = (P(x, y, z), Q(2,y,z), R(x, y, z)) is a vector field. If P, Q, R, and f all have continuous partial derivatives, then which of the following equations is invalid? O curl (aF) N21 = a curl F for any positive integer Q. REC o div (fF) = fdiv F+FVF Odiv curl F = 0 O grad div f = div grad...
suppose f(x)=x^2+x-6 for x does not equal 2 and f(x)=3 for x=2. Then which of the following statements are true? (I) f(x) is continuous on (-∞, ∞). (II) f(x) is discontinuous at 2 because f(2) is undefined. (III) f(x) is discontinuous at 2 because lim x→2 f(x) does not exist. (IV) f(x) is discontinuous at 2 because lim x→2 f(x) ≠ f(2).