Calculus question and answers for December 25, 2023
- Q Tutorial Exercise Find the exact length of the curve x et e t y 5 2t Ost 3 Click here to begin
- Q Find the line integral of f x y ye along the curve r t 3t i 4tj 2sts 1 The integral of f is Type an exact answer
- Q x y 2 ds where C is parmeterized by Find the value of integral t 8 sin t 2 7 cos t 6 cos t for 0 t
- Q Find the line integrals of F 4yi xj 2zk from 0 0 0 to 1 1 1 over each of the following paths a The straight line path C r...
- Q 22 e Find the gradient field of the function g x y z 2 In x 3y The gradient field is Vg Oi Oj O k
- Q Consider the following graph 0 The function in the graph is a solution of one of the following differential equations A y 1 xy B y 2xy C y 1...
- Q A tank contains 2 000 L of brine with 16 kg of dissolved salt Pure water enters the tank at a rate of 20 L min The solution is kept...
- Q Points Let S be the solid obtained by rotating the region shown in the figure about the y axis Assume a 3 and b 2 y axx b Sketch a...
- Q Solve the differential equation de t sec 0 dt Beta
- Q Find the solution of the differential equation that satisfies the given initial condition dA Ab2 cos br A 0 b dr
- Q Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the y axis y y 0 x 2...
- Q Solve the differential equation dy dx 7x y for y 0
- Q Write a differential equation that models the given situation The stated rate of change is with respect to time t Use k for the proportionality constant For a car with...
- Q Suppose that x 2y t and y tsin 8 Find 3 0 dy at and at
- Q Suppose that x 2y and y tsin 9 Find 8 oy dy and
- Q Select the correct answer Which equation has infinitely many solutions A 5 x 2 4x 12 x 2 B 3x 4 2x 5 x 4 C 5 x 7 5...
- Q Along the curve r t t i j tk 0 st 1 evaluate each of the following integrals a x y z dx b x y z dy x y...
- Q Evaluate f x y x y ds where C is the straight line segment x 2t y 8 2t z 0 from 0 8 0 to 8 0 0 C...
- Q Integrate f x y z The integral of f is x y z over the path r t 2t i 3t j tk 0 astsb 2 x y z
- Q 3 Solve the following system of non linear equations by using the fi x y x x 1 2y 18 0 Newton Raphson method Start with xo 2 and yo...
- Q A plane flying horizontally at an altitude of 2 mi and a speed of 600 mi h passes directly over a radar station Find the rate at which the distance...
- Q Integrate f x y z The integral of f is x y z 2 2 x y z over the path r t ti tj 2t k 0 ast b
- Q Find the line integrals of F 4yi 2xj zk from 0 0 0 to 1 1 1 over each of the following paths a The straight line path C r...
- Q Find the gradient field of the function f x y z 3x 3y 4z 1 2 The gradient field is Vf i j k
- Q Evaluate fc xy x xy x z ds along the curve r t 2ti tj 5 2t k 0 st 1 c xy c xy x z ds Simplify your...
- Q Find the line integral along the given path C fix x C y dx where C x t y 7t 2 for 0 st 4 x y dx
- Q Find the line integral of f x y ye along the curve r t 4t i 3t j 1sts 1 he integral of f is Type an exact answer
- Q Evaluate x y ds where C is the straight line segment x 2t y 8 2t z 0 from 0 8 0 to 8 0 0 f x y ds...
- Q Find the area of the region bounded by y 1 1 x2 y 2 x 1 and the y axis Find the area of the region bounded by x 6y2...
- Q Given that the directional derivative of f at the point 1 5 5 in th direction of a 9i 6j 2k is 4 and that Vf 1 5 5 4...
- Q Use Euler s method with step size 0 2 to estimate y 1 where y a is the solution of the initial value problem y 5x y y 0 0...
- Q 1 point Suppose the clean water of a stream flows into Lake Alpha then into Lake Beta and then further downstream The in and out flow for each lake is...
- Q 1 point Initially 10 grams of salt are dissolved into 40 liters of water Brine with concentration of salt 4 grams per liter is added at a rate of 2...
- Q c1 e 1 16 c2 e 4 t 3 c1 e 1 12 c2 e 4 t 4 c1 e 1 c2 e 4 t 2 5 3 e 1...
- Q 1 point Suppose x c e a Verify that x cje c e4 is a solution to x 3x 4x 0 by substituting it into the differential equation Enter the...
- Q 1 point Find a non constant solution to x x 4 using your knowledge of derivatives from basic calculus x t help formulas
- Q 2 dx 1 Enter your answers below in terms of the independent variable I in the order in which 1 point Show that y cos t is a solution to...
- Q 1 point Suppose y c cos kx c sin kx where k 0 is a constant and c and c are arbitrary constants Find the following Enter c as c1...
- Q e 1 point Suppose x a Find the value of the expression x 6x 12x 8x in terms of the variable r Enter the terms in the order given help...
- Q Simplify the trigonometric expression below considering only the values of for which the expression is defined cos B tan B esc B cot B Remember to put parentheses around the...
- Q Considering only the values of 0 for which the expression is defined which of the following is equivalent to the expression below Select the correct answer below sin 0 01...
- Q Considering only the values of for which the expression is defined which of the following is equivalent to the expression below Select the correct answer below O cot cot 0...
- Q Considering only the values of a for which cos a csc a sec a is defined which of the following expressions is cos a csc a sec a Select the...
- Q Provide your answer below TT TT 2 2 34 1 0 1 2 TT 2 3 4 0 TT VI X J
- Q A surveying team set up some equipment 133 ft from the base of a tree in order to sight the top of the tree From ground level they measure the...
- Q On the graph of f x cot x and the interval 2 0 for what value of x does f x 1 Choose the points in the figure Provide your...
- Q 1 Evaluate a sin sin 1 sin cos d b sin tan 2 3 e sin cos x c f cos tan tan sin 5 P Vp 9
- Q 4 U U 3 2 5 2 1 TI 2TT 3TT 4TV 5T 1 100 n 2 Note Enter your answer in cosecant form Provide your answer below k 2TT...
- Q Given the side length a 13 and the angle A 41 on the triangle below find the lengths of b and c and the measure of angle B Do not...
- Q Find a function x y that is harmonic in the region of the first quadrant between the curves xy 2 and xy 4 and takes on the values 3 on...
- Q Given the side length b 15 and the angle B 26 on the triangle below find the lengths of a and c and the measure o angle A Do not...
- Q What is the amplitude and period of the function f x 2 sin 7x Provide your answer below
- Q Sorry that s incorr 0 to Tou 7 cimal places LO 5
- Q Given the triangle below find the angle 0 0 Provide your answer below 10 9 Give your answer in degrees rounded to the nearest tenth Do not include the degree...
- Q y 2 cot 2x Drag the movable red point to set the asymptotes for one period of the given function Also place the blue point at the correct set of...
- Q y tan 4x Drag either of the movable red points to set the asymptotes for one period of the given function Also place the blue point at the correct set...
- Q Find a basis of solutions by the Frobenius method y x 1 y 0
- Q Given the side length a 10 and the angle A 38 on the triangle below find the lengths of b and c and the measure of angle B Do not...
- Q Find the equation of the graph given below Provide your answer below 3 2 0 0 1 3 TT 3 T TT 2TT 3 T 4TT 13 3 5TT 6TT
- Q y 2 tan 4x 1 Drag the movable black point to shift the function the red points to set the vertical asymptotes and the blue point at the correct set...
- Q Use a calculator to solve the following equation for 0 on the interval csc 0 2 Find all the correct answers Report your answer as a decimal and round to...
- Q Given the triangle below find the angle 0 in degrees Round to one decimal place 8 0 7
- Q Which of the following show correct inverse trigonometric function values Select all correct answers Select all that apply arcsec 2 4 arcsec 2 3 arccsc 1 0 arcesc 1 arccot...
- Q et C be the positively oriented square with vertices 0 0 1 0 1 1 0 1 Use Green s Theorem to evaluate the line integral J10y z dz 10x...
- Q Given the side length b 9 and the angle A 73 on the triangle below find the lengths of a and c and the measure of angle B Do not...
- Q y cot 5x Drag the movable red point to set the asymptotes for one period of the given function Also place the blue point at the correct set of coordinates...
- Q Find the particular antiderivative of the following derivative that satisfies the given condition dR dt 64 1 R 4 50
- Q Find the indefinite integral Check by differentiation 12e 10 dz
- Q Given that cot x 1 what is cot x
- Q Choose one point in the figure that is NOT in the domain of cot x defined in the Provide your answer below TT 12 TTA TT 2 4 0 0...
- Q 2 Simplify the following a sinx cos x secx cscx sin cos x b cos x sinx 4 tanx secx 2 secx c 6 tanx secx 2 secx sin x...
- Q a sec x 2 tar x 2 cox 2 cs x 2 a 5 Find the exact value of sin 26 cos 24 tan 24 10 sin 10 b cos...
- Q 6 Prove the following 1 cosx sinx cosx 1 a sinx cosx sinx cos x 1 cos x b sin x 2csc x 1 c cos x cotx cot x...
- Q 1 Evaluate a sin sin 1 sin cos d 4 tanx secx 2 secx c 6 tanx secx 2 secx sin x cos x d sin x cos x 1...
- Q A pizza pan is removed at 1 00 PM from an oven whose temperature is fixed at 450 F into a room that is a constant 71 F After 5...
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