9. (a) Let Ao(x) = / (1-t*)dt, Ai(z) = / (1-t2) dt, and A2(z) = / (1-t2)dt. Compute these explici...
(1 point) Use Part I of the Fundamental Theorem of Calculus to find the derivative of cos(t2+t)dt n'(z) = (1 point) Use Part I of the Fundamental Theorem of Calculus to find the derivative of cos(t2+t)dt n'(z) =
Please answer with all steps. Thanks Given "x4 3 cos + 7 sin t 0.75_dt F(x) =let, d, G(x) =1 dt 5t0.75 0 Using the Fundamental Theorem of Calculus Part II, calculate the limit Lim Given "x4 3 cos + 7 sin t 0.75_dt F(x) =let, d, G(x) =1 dt 5t0.75 0 Using the Fundamental Theorem of Calculus Part II, calculate the limit Lim
Theorem. Let p(x) = anr" + … + ao be a polynomial with integer coefficients, i, e. each ai E Z. If r/s is a rational root of p (expressed in lowest terms so that r, s are relatively prime), then s divides an and r divides ao Use the rational root test to solve the following: + ao is a monic (i.e. has leading coefficient 1) polynomial with integer coefficients, then every rational root is in fact an integer....
1 #6: Let T: P2 → p2 be defined by T(ao +ajx + a2 x2) = (Tao + 381 +8a2) – (a1 + 36a2)x+ 20 x2 Find the eigenvalues of T. Enter any repeated eigenvalues as often as they repeat. em #6:
2. Let 6 marks (a) Find f(x),f"(x), and f"(x). (b) Find the second order Taylor expansion of f at 1, namely f(r) = ao + ala-1 ) + a2(z-1)2 + R2(x), where Ra is the remainder. You should find ao, a, a2, and R(p). 8 marks that the error in this estimation (i.e., R2(0.9)1) is at most 10-3. 6 marks (c) Use the Taylor expansion found above to estimate the value of f(0.9). Show Find f(x), f"(), and f" (b)...
1. [-/5 Points) DETAILS 0/1 Submissions Used Find the area of the region bounded by the graphs of the equations. y = 6 + x x = 0, X = 8, y = 0 2. (-/5 Points] DETAILS 0/1 Submissions Used Use the Second Fundamental Theorem of Calculus to find F"(x). F(x) = - 6". 8t cos(t) dt F'(x) =
Question 16 Compute dz dt at t = 1 for z = xery, where x = {2 and y=t-1. None of the above or below e 3e 2e cole
1:) What is the area enclosed by the graphs of the equations y = 2x − x^2 and y = −3? 2:) What is the derivative of the function - csc(t)dt - csc(t)dt
162a.) and 166 please 162. The graph of y ext)dt, where t is a piecewise linear function, is shown here. 0 ya 47 3+ 2+ 1- 0 1 / 2 3 4 5 6* a. Over which intervals is { positive? Over which intervals is it negative? Over which, if any, is it zero? In the following exercises, use a calculator to estimate the area under the curve by computing T10, the average of the left and right- endpoint Riemann...
Let A(x)=∫(bounds 0 to x) f(t)dt, with f(x) as in figure. Let A(z) = J f(t) dt, with f(z) as in figure. -1 -2 A()l has a local minimum on (O A(z) has a local maximum on (0, 6) at a 6.5 Let A(z) = J f(t) dt, with f(z) as in figure. -1 -2 A()l has a local minimum on (O A(z) has a local maximum on (0, 6) at a 6.5