Calculus question and answers for December 26, 2023
- Q x 2 2 9 y 2 1 2 x 3 y 0 y 1 3 sqrt x 2 441 east one of the answers above is NOT correct dy X...
- Q 1 point 1 t 2 16 dt At least one of the answers above is NOT correct 1 8 In x 4 x 4 y x 0 a Set up...
- Q Use the Second Fundamental Theorem of Calculus to find F x dt ho 7 F x F x
- Q Consider the following function f x x 8x 7 a Find the critical numbers of f if any Enter your answers as a comma separated list X b Find the...
- Q The radius r of a circle is increasing at a rate of 7 centimeters per minute Find the rate of change of the area when r 35 centimet cm min
- Q 1 point Let S 1 represent the amount of a chemical reactant present at time t where i 20 Assume that S t can be determined by solving the initial...
- Q Solve sin 5x cos 8x cos 5x sin 8x 0 8 for the smallest positive solution X Give your answer accurate to two decimal places
- Q Simplify the lefthandside so that LHS sin a sin a 1 cos a 1 cos a RHS 2 tan a
- Q Write the sum as a product cos 18 7v cos 11 7v Note coefficients inside of the trigonometric functions should be entered as simplified decimal value do not enter fractions...
- Q 2 2TT in terms of sin x and cos x 3 Rewrite cos x
- Q Rewrite sin x 5T 6 in terms of sin x and cos x
- Q Write the product as a sum or difference 18 cos 14r cos 12r
- Q Simplify sin t cos t cos t sin t 2 sin 2t csc t to a single trig function
- Q Use the spinner shown It is equally probable that the pointer will land on any one of the regions If the pointer lands on a borderline spin again If the...
- Q Simplify the following expression Select the correct answer below O tan tan a tan a tan 01 tan a tan p O 1 tan a tan tan a tan B...
- Q Which of the following is equivalent to tan x 2 Select the correct answer below O tan x O tan x 1 O tan x 1 1 tan x 1...
- Q 1 point Solve y sin x if y 0 0 and y 0 3 y x help formulas
- Q Simplify the following expression using the sum and difference identities 5 Cos 7 COS Select the correct answer below cos 3 O sin 3 COS 11 O sin 1 4...
- Q a Set up an integral for solving y x y x dy x x when y 4 10 dx t b Evaluate your answer to the previous part to find...
- Q Previ 1 point A spaceship is traveling directly away from earth with speed 412 4 km s At time t 0 s it is 500 km from earth How far...
- Q You are given that tan A and tan B 2 Find tan A B Give your answer as a fraction
- Q dy 1 point Find a solution to dx xy 9x 5y 45 If necessary use k to denote an arbitrary constant help equations
- Q You are given that sin A 7 with A in Quadrant II and cos B 3 with B in Quadrant I Find sin A B Give your 17 answer as...
- Q x 3 y 0 east one of the answers above is NOT correct the questions remains unanswered point Solve the differential equation dy X dx 9y a Find an implicit...
- Q 1 Cars arrive at a one bay car wash facility where the interarrival time is exponential with mean of 10 minutes Arriving cars line up in a single line It...
- Q a For what values of r does the function y e satisfy the differential equation 5y 34y 7y 0 Enter your answers as a comma separated list r b If...
- Q A population is modeled by the differential equation dP P 1 5P 1 4500 dt a For what values of P is the population increasing Enter your answer in interval...
- Q Solve the differential equation t sec 0 8 de dt Bet
- Q You are given that cos A your answer as a fraction 13 with A in Quadrant III and sin B 13 with B in Quadrant I Find sin A B...
- Q You are given that cos A with A in Quadrant II and sin B 2 with B in Quadrant II Find cos A B Give your answer as a fraction
- Q You are given that sin A with A in Quadrant IV and sin B with B in Quadrant III Find cos A B Give 13 your answer as a fraction...
- Q The population of deer in a forest can be modeled with the sinusoidal function p 6000cos 1 51000 where t is the number of years after 1976 To the nearest...
- Q The equation p 5000cos t 54000 describes the number of deer in a forest where t is the number of years af 1972 What was the population in the year...
- Q 19 2sin t 8 where t is the The temperature in a room of a nearby library can be modeled with the equation T number of hours past midnight Marie...
- Q Question You are given that cos A 3 with A in Quadrant I and sin B answer as a fraction answer below 2 with B in Quadrant I Find sin...
- Q Question You are given that sin A with A in Quadrant I and sin B with B in Quadrant IV Find sin A B Give your answer as a fraction...
- Q y 3 cos 2 Drag the black dot to shift your graph in the desired direction Use the blue draggable dot to change the period Drag the orange dot to...
- Q You are given that tan A 4 and tan B 7 Find tan A B Give your answer as a fraction
- Q You are given that cos A with A in Quadrant II and sin B 13 your answer as a fraction with B in Quadrant II Find cos A B Give
- Q Provide your answer below 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...
- Q Considering only the values of for which sec B 1 cos 1 cos B is defined which of the following expressions is equivalent to see 1 cos B 1 cos...
- Q Graph the following function y sin 1 Drag the black dot to shift your graph in the desired direction Use the blue draggable dot to change the period Drag the...
- Q Considering only the values of a for which 1 sec a tan a Select the correct answer below O sin a sec a tan a tan a 1 sec atan...
- Q Which of the following is equivalent to for all values of a for which Select the correct answer below see a tan a sec atan a sce a 1 sin...
- Q Considering only the values of 0 for which cos 0 sec 0 1 is defined which of the following expressions is equivalent to cos 0 sec 0 1 Select the...
- Q Which of the following is equivalent to csc 0 sec 0 1 sec 0 1 for all values of 0 for which csc 0 sec 0 1 sec 0 1...
- Q Considering only the values of 0 for which I cos 0 is defined which of the following expressions is equivalent to I cos 07 Cos 0 Select the correct answer...
- Q Which expression is equivalent to Select the correct answer below O cot B O cos B sec O tan 01 cos B sin B 1 cos B for all values...
- Q Considering only the values of a for which the expression is defined which of the following is equivalent to the expression below Select the correct answer below cot a cse...
- Q Given that csc 0 5 and 0 is in Quadrant IV what is tan 0 Write your answer in exact form Do not round Provide your answer below
- Q Given that tan 0 and 0 is in Quadrant II what is cos 0 Write your answer in exact form Do not round Provide your answer below
- Q raph the following function Drag the black dot to shift your graph in the desired direction Use the blue draggable dot to change the period Drag the orange dot to...
- Q Write the following function in terms of its cofunction Make sure to include the degree symbol in your answer csc 20
- Q onsider the given function and the given interval f x x 6 5 8 a Find the average value fave of fon the given interval fave b Find c such...
- Q A Use an indirect proof to prove the following GIVEN A ABC is not isosceles ADB CDB 6 PROVE AD DC D B C
- Q The graph shows the function y h t 1 5 4 3 2 1 X 1 2 3 4 5 a I We define a new function r x h...
- Q 9 Does this series diverge SHOW WORK n 1 5n 2 3n 5
- Q 12 Test the series for convergence using the Ratio Test 7 n
- Q 10 Given the series e 2 If the series converges indicate the value n 1 that it converges to If it diverges write diverges
- Q 6 Evaluate the improper integral St 1 dx 2 x 1
- Q 13 Write out the Taylor series that represents the function f x x at the point a 1
- Q 5 Evaluate the definite integral e4 dx xvlnx
- Q 11 Test the series for convergence using the Root Test 00 n 1 6n 5n 4 n
- Q 7 Given the sequence an n 5 If the sequence converges indicate the 6 n value that it converges to If it diverges write diverges
- Q 4 Write as Partial Fractions x 6 x 7
- Q Solve 8 sin t 2 cos t 5 0 for all solutions 0 t 2
- Q Solve 2 sin t 5 sin t 2 0 for all solutions 0 t 2
- Q Solve 8 sin t 2 cos t 5 0 for all solutions 0 t 2T
- Q Solve 6 cos t 7 cos t 2 0 for all solutions 0 t 2
- Q Another model for a growth function for a limited population is given by the Gompertz function which is a solution of the differential equation below where c is a constant...
- Q Evaluate Sc xy y 2 ds along the curve r t 2ti tj 3 2t k 0 t 1 Sc xy y 2 ds Simplify your answer
- Q Evaluate Sc xy x 2 ds along the curve r t 2ti tj 9 2t k 0 ts1 Sc xy x 2 ds Simplify your answer
- Q Graph the following function y 3 sec x 7 2 Drag the movable red point to shift the function the black point to set the vertical asymptotes and the blue...
- Q a Find the solution to the initial value problem y e 6 y lim y t 1 00 6 y 0 1 b Discuss the behavior of the solution y...
- Q 32 e 4 t 3 At least one of the answers above is NOT correct 1 point The unique solution to the initial value problem Yo 6 is y t...
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