Summer-HW1: Problem 18 Previous Problem List Next (1 point) Let f(x) = 2x + 3x2.Ith #0,...
HW07: Problem 3 Previous Problem Problem List Next Problem (1 point) Let f(x) = -5+5vX. Then the expression f(x +h)-f(x) can be written in the form VBx + Ch) + (7) where A, B, and C are constants. (Note: It's possible for one or more of these constants to be 0.) Find the constants. A = 3 C = 0 Use your answer from above to find Lim (x +h)-f(x) 10 lim f(x+h)-f(x) Finally, find each of the following: f'(1)...
I got as far as f (x+h)-f (x)/h... pls help 3. Let f(x) 3x2+2x -4. a. Is f even, odd or neither? Explain how you know. b. Find and simplify the difference quotient for fx). rite a function in slope-intercept a. Slope-4, passing through (1,4) b. Passing through (2,3) and (-1,5) c. Passing through (23) and perpendicular to the line whose equation is 3x-4y + 10-0. d. Passing through (3,4) and parallel to the line whose equation is x-1. 4....
Previous Problem Problem List Next Problem (1 point) Suppose that f(x) and g(x) are given by the power series f(x) 55x +3x2 + 3x3+... and g(x-643x + 4x2 + 3x3 + By multiplying power series, find the first few terms of the series for the product h(x) -f(x) .gx)cccx2 +c3 со 30 c115 C212x C39 Note: You can earn partial credit on this problem. Previous Problem Problem List Next Problem (1 point) Suppose that f(x) and g(x) are given by...
assign 11 105: Problem 9 Previous Problem Problem List Next Problem (1 point) Let P2 denote the vector space of all polynomials in the variable x of degree less than or equal to 2. Let C (-3,-1- 3x,-1 + 2x - 3x2] be an ordered basis for P2 a. Write 23x -9x2 as a linear combination of elements from the basis C 2+3x-9x2- (-1 + 2x - 3x2) b. Let [glc denote the coordinate representation of q relative to the...
MA441-1.3-Limit-Laws: Problem 1 Previous Problem Problem List Next Problem (1 point) Using: lim f(x) = -3 and lim g(x) = 5, evaluate the limits, lim f(x)g(x) = lim f(x) x +4 (x) Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Email instructor
ssignment6: Problem 9 Previous Problem Problem List Next Problem (1 point) The area A of the region Sthat lies under the graph of the continuous function f on the interval (a, b) is the limit of the sum of the areas of approximating rectangles: A = lim (f(21)Ar + f(x2)Ax+...+f(xn)Ax] = lim f(x;)Az, n-> ng i=1 where Ax = b and Ti = a +iAr. The expression A = lim Itan(n) 7200 6n2 gives the area of the function f(x)...
Problem 11 Previous Problem Problem List Next Problem (1 point) Consider the differential equation 2x(x – 1)y" + 3(x - 1)y' - y = 0 which has a regular singular point at x = 0. The indicial equation for x = 0 is p2 + r+ = 0 with roots (in increasing order) rı = and r2 = Find the indicated terms of the following series solutions of the differential equation: (a) y = x" (3+ x+ x2+ x +...
2) Let f(x) = 3x2 - 2x +1. a. Find the average rate of change from x = 1 to x = 3 b. Find the equation of the secant line containing the points (1.f (1)) and (3,f(3)) c. Find the derivative of the function at the point x = 3 and determine the equation of the tangent line at that point.
LinearAlgebra03: Problem 2 Previous Problem List Next Previous Problem List Next (1 point) Find a set of vectors {ū, v} in R4 that spans the solution set of the equations Sw – x + 2y + 3z = 0, | 2w + 2x – y – 2z = 0. II
(1 point) Let f(x) = 3x - 2x + 9. Then according to the definition of derivative f'(x) = lim (Your answer above and the next few answers below will involve the variables x and h. We are using h instead of Ax because it is easier to type) We can cancel the common factor from the numerator and denominator leaving the polynomial Taking the limit of this expression gives us f'(x) = -4x+3