OC userin Calculus·29 Sep 2019 (7) Write, but do not evaluate, a double integral in polar coordinates to find the volume of the region between the paraboloid z = 8-x2-y2 and the portion of the xy-plane above the x-axis bounded by the lines y-V3x and y--V3x.
OC userin Calculus·15 Jun 2019 Find the domain of the vector function. (Enter your answer using interval notation.) r(t)-(V25-t2, e-3t, ln(t + 2)
OC userin Calculus·13 Nov 2019 Use the given transformation to evaluate the integral 10xy dA, where R is the region in the first quadrant bounded by the lines y-ì¤x and y- and the hyperbolas xy- L and xy--x-u/v, y-v Watch It Talk to a Tutor Submit Answer Save ProgressPractice Another Version
OC userin Calculus·24 Apr 2019 Help MATH 1451 Test #3 Fall 2017 Part 1 Short answer questions 1. State the proper notation for the derivative of f(x). 2. State the proper notation for the integral of f(x). 3, State the proper notation for the differential of Distinguish between a definite integral and an indefinite i examples) 4. 5. State the limit definition of f'(x). rt 2 - Multiple choice questions (circle correct answer) (6x-4x +3) dx is: 1105 b) 95 c)93 d)90 e) None of th 6.
OC userin Calculus·14 Sep 2019 Thank you! Calculate the length of the curve C, defined by r(t) (2 cos(t), 2 sin(t) with domain of -Ï/2 Comments
OC userin Calculus·27 Jan 2019 Explain and solve them please thank you !!!! 1. Determine whether each of the following sequences converges or diverges. If it converges, find the limit. "(b) an=tan ( 2mm 1+8n (c) an=ã¡e_n n=0 (e) an 1 (f) an= (-3)-
OC userin Calculus·13 Nov 2019 6. (6x2- 4x+ 3) dx is: a) 105 b) 95 c)93 d) 90 e) None of these 7. The indefinite integral of the function f given by f(x)x+2 is a) x +2x+C b) 1/2 x' +2x + C c) 1/3 x +2x+ C e) None of these x+ x'- 2x + 1, Then f' (1) is equal to d) 3 x3+ 2x+C 8. If f(x) a) 0 b)1 c)5 d)6 e)7
OC userin Calculus·2 Jan 2019 2. A hot air balloon is being launched, and the takeoff is being filmed with a video camera. The camera is fitted with a 35 mm lens and is positioned 15 m away from the launch point on the ground. In order to maintain a focused image, the cameraman must adjust the position of the lens according to the formula 111 +=, where r is the distance from the lens to the film, s is the distance from the lens to the balloon, and f is the focal length of the lens. Find a formula tor n terms of h, the height of the balloon, and dh dt dt
OC userin Calculus·28 Apr 2019 (3) A transformer is built from two types of wire, #1 and #2, with cross sections q1 and q2 respectively. The #1 wire is wound onto the primary coil of the transformer with n! turns, while the #2 wire is wound onto the secondary coil with n2 turns. The current in the primary coil is i1, and the current in the secondary coil is i2. Electrical engineers have found that the heat produced by electrical current in the coils can be minimized by minimizing the function 91 42 where the resistivity Ï and the diameters D1 and D2 of the iron cores are constants. (a) From transformer theory, it turns out nii] - n2i2 - constant. By an argument involving insulation thickness, one can show that q1 = azh/ni and g2 :nyh/n2, where a and h are constants. Use these relations to simplify the expression for C (b) Physical constraints give x + y (D2-D1). Apply the method of Lagrange multipliers to find x and y which minimize C subject to this condition.
OC userin Calculus·12 Jul 2019 gnment Submission this assignment, you submit answers by question parts. The number of submissic gnment Scoring ur best submission for each question part is used for your score. -3 points scalcET8 13.2.021 If r(t)-(4t, 6t2, 2t3), find r'(t), T(1), r"(t), r'(t) Ã r"(t). and r(t) = 7(1) = r"(t) = r(t) Ã r"(t) = Submit Answer Save Progres Comments
OC userin Calculus·3 Jul 2019 3. Use infinitesimals to derive the formulas for the product rule, quotient rule, and dy chain rule. Hints: To find dr for a function y f(x), use the formula dy f(x+ dr)-f( + k. dr) = f(x) +k-f,(z)dr. Divide your formula for dy by dx, then set any remaining infinitesimal terms to zero. r) together with the formula / (x
OC userin Calculus·13 Jun 2019 Find the center, radius of convergence, and interval of convergence of each power series. Show the steps needed to find the given answers in red (a) Σ n(z+3)" 3 5 (-8,2) ar2n 4" (n2+n 1) 0 0 [ä¸2,2]