Calculus question and answers for December 31, 2023
- Q olution of the differential equation that satisfies the given initial condition dA Ab cos br A 0 b dr b sin br In 6 e No REVIOUS ANSWERS SCALCET9 9...
- Q An antiderivative of x as long as n 1 is
- Q Comparing Vectors In Exercises 21 22 23 24 25 and 26 determine whether u and v are orthogonal parallel or neither 21 u 4 3 v 1 2 3 Answer...
- Q Alternative Form of Dot Product In Exercises 19 and 20 use the alternative form of the dot product to find u v 19 u 8 v 5 and the angle...
- Q the angle between the vectors a in radians and b in degrees 11 u 1 1 v 2 2
- Q y t 50e t 30 In 2 50 2 50 Exercise b How much of the sample remains after 40 years 50 2 Step 1 After 40 years we have...
- Q 1 0 1 Points DETAILS A T Find the area of the region that lies inside the first curve and outside the second curve r 3 cos 8 r 1...
- Q 8 7 1 70 1 n Lan n 1 As 4 1 this means that p series converges 09 7 07 Step 4 We have found that the given power...
- Q DETAILS b sin br 114 0 1 Points Find the solution of the differential equation that satisfies the given initial condition dA Ab cos br A 0 6 dr Need...
- Q Therefore k 30 In 2 30 Step 4 Now remembering that In x n In x and that eln z z we have y t 50e t 30 In 2...
- Q DETAILS 9 0 1 Points PREVIOUS ANSW Find the area of the region that lies inside the first curve and outside the second curve r 16 sin 8 11 71...
- Q P 3 0 1 Points Find the solution of the differential equation that satisfies the given initial condition dp dt DETAILS 7 3 ad Help 7 Pt P 1 3...
- Q Sketch the region in the plane consisting of points whose polar coordinates satisfy the given conditions r 7 0 0 8 6 4 2 y 8 6 4 2 2...
- Q 2 O T 2 2 N 2 O DO T N T N 2 b 4 2
- Q DETAILS 11 0 1 Points Find the area of the region that lies inside the first curve and outside the second curve r 3 cos 8 r 1 cos 8...
- Q W S 0 01 n 1 Step 4 Recall the following theorem 8 n 1 For the sum 0 01 n 1 we have a 0 01 The geometric seriesar...
- Q Since the half life is 30 years then y 30 25 Step 3 Thus 25 50e30k or 30k Therefore k H 25 mg
- Q This question has several parts that able to come back to the skipped part The half life of cesium 137 is 30 years Suppose we have a 50 mg sample...
- Q Solve for x cos x cos 2x 0 0 2n X Select 3 correct answer s KO 4 60 03 Gla co No solution 02 2 W H 560 n
- Q Solve for x 3 cos x 1 cos x over the interval 0 2 If needed give your answer s as an approximation rounded to the nearest 2 decimal places...
- Q When solving the following equation using adjusted interval methods cos 0 over the interval 0 4 what is the ADJUSTED INTERVAL that you would use to solve 0 8T None...
- Q PREVIOUS ANSWERS the area of the region that is bounded by the given curve and lies in the specified sector r e 3 t 4 Os 3128 2 DETAILS ints...
- Q 1 0 1 Points DETAILS Find the area of the region that is bounded by the given curve and lies in the specified sector r 180 0 8 I 2...
- Q Solve for x cos x cos 2x 0 X 0 2
- Q Answer Within three units of the xz plane
- Q X Select 4 correct answer s 4 3 00 11 57 12 03 017 No solution 12 13m 12 2 5 6
- Q Solve for x 2 sin x 2 cos x 0 2 X
- Q Choose ALL of the following that are equivalent to a Pythagorean identity Select 6 correct answer s O cot x csc x 1 Otan x sec x 1 csc a...
- Q Given the identity cos x sin x 1 select all of the following that are equivalent to it
- Q Determine which of the following identity replacements is the best accurate choice in solving the equation 5 cos x sin x 1 5 1 sin x sin x 1 05...
- Q Determine which of the following double identity replacements is the best accurate choice in solving the equation cos x cos 2x 0 cos x 2 cos x sin x 0...
- Q Find the divergence of the field F 5ze4xyzi 5ze i 5ze div F j 5x4xyzk
- Q 1 2 Points DETAILS PREVIOUS ANSWERS SCALCET9 11 10 021 Find the Taylor series for f x centered at the given value of a Assume that f has a power...
- Q Use the divergence theorem to find the outward flux of F across the boundary of the region D F 2y x i z y j 2y 2x k D The...
- Q lim 318 n 1 an lim 816 lim 818 x1 7 n 1 450 1 X 4 n n lim n 1 a n 1 lim 818 an 4 n...
- Q 27 5 Points DETAILS Test the series for convergence or divergence 2 2 4 6 8 S 6 7 SCALCET9 Evaluate the following limit lim bn 318 Identify b Assume...
- Q Find the curl of the vector field F F x y z i 9x y 7z j 6x 8y z k curl F i j k
- Q Find the curl of the vector field F F xy z i yz x j xz y k curl F i i k
- Q 10 1 2 Points DETAILS Determine whether the geometric series is convergent or divergent n 1 convergent divergent 16 0 64 1 PREVIOUS ANSWERS SCALCET9 11 2 027 x If...
- Q Find the divergence of the field F 4x 6y 5z i 8x 6y 7z j 5x 6y 3z k AMAN neuen Einfl Wirtu duben
- Q f x n 1 1 2 Points Find the Maclaurin series for f x using the definition of a Maclaurin series Assume that f has a power series expansion Do...
- Q Step 5 Now we must find the radius of convergence for the Maclaurin series First we set up the ratio test as follows a lim n 1 318 an lim...
- Q Consider the following series 1 2 4 4 n 1 Does the function f x O Yes O No 1 x 4 satisfy the conditions of the Integral Test Evaluate...
- Q Suppose an and b are series with positive terms and b is known to be divergent a If an bn for all n what can you say about an Why...
- Q 0 01 0 01 0 0001 0 01 2 Continuing this pattern we see that 1 0 01 0 0001 can be expressed as the geometric series 00 0 01...
- Q Supposea and b bare series with positive terms and b is known to be convergent n a If a b for all n what can you say about a Why...
- Q 9 0 1 Points DETAILS 8 7 PREVIOUS ANSWERS Determine whether the geometric series is convergent or divergent If it is convergent find its sum If the quantity diverges enter...
- Q Determine whether the series converges or diverges 1 n 8 n 8 n 1 converges O diverges Need Help Read It
- Q where a 0 00 n 1 b 1 1 and c 2 Step 3 We have noticed the following for the first terms of our sequence 1 0 01 0...
- Q 0 000081 0 81 1 10000 0 01 Step 2 We have written the given repeating decimal as follows 0 81 81 1 0 01 0 0001 Notice that each...
- Q Determine whether the geometric series is convergent or divergent 80 16 0 64 1 n 1 O convergent O divergent If it is convergent find its sum If the quantity...
- Q Tutorial Exercise Express the number as a ratio of integers 0 81 0 81818181 Step 1 To write 0 81 as a ratio of integers first write it in expanded...
- Q Calculate the sum of the series Sn n 1 3n 1 00 n 1 an whose partial sums are given
- Q a What is the difference between a sequence and a series b A sequence is an ordered list of numbers whereas a series is an unordered list of numbers A...
- Q Find the area of the region that lies inside the first curve and outside the second curve r 16 sin 8 r 8
- Q Use the Integral Test to determine whether the series is convergent or divergent 00 n 1 76 Evaluate the following integral X 6dx Since the integral Select finite the series...
- Q Calculate the first eight terms of the sequence of partial sums correct to four decimal places n 1 2 3 4 5 6 7 8 8 1 5n n 1...
- Q AILS n 1 SCALCET9 11 2 019 Determine whether the series is convergent or divergent by expressing s as a telescoping sum If it is convergent find its sum If...
- Q Find the radius interval of convergency of the power series 1 22 1 05 0 1
- Q Sketch the curve 2 r 2 2 sin 8 1 y 1 2 3 1 2 y X y 1 1 y 3 2 1 1 2
- Q Graph the curve r 6 sin 40 4 2 y 2 2 4 y 2 6 X y 2 0 4 2 2 4 2 4 X
- Q Sketch the curve 6 r 5 4 cos 0 4 2 y 2 6 8 2 4 8 6 4 2 y N 2 X
- Q Find the area of the region that is bounded by the given curve and lies in the specified sector st 2 r 180 0 es
- Q Determine whether the sequence converges or diverges If it converges find the limit If the sequence diverges enter DIVERGES an e4n n 4 lim a
- Q Find the Maclaurin series for f x using the definition of a Maclaurin series Assume that f has a power series expansion Do not show that R x 0 f...
- Q We are given the following power series and must determine the radius of convergence R centered at Recall that a power series centered at a is of the form x...
- Q Consider the following series n 1 Evaluate the following limit where an R 7427 lim 818 I Find the radius of convergence R of the series an 1 an Find...
- Q We set up the ratio test as follows an 1 318 an lim x lim Step 7 lim 818 Step 6 Now we can simplify and evaluate the limit n...
- Q SCALCET9 11 10 006 Use the definition of a Taylor series to find the first four nonzero terms of the series for f x centered at the given value of...
- Q a What is a sequence A sequence is an ordered list of numbers A sequence is the product of an ordered list of numbers A sequence is an unordered list...
- Q List the first five terms of the sequence 3 0 2 n n 22 23 24 25 a6 11 11 11 MI
- Q Write the given function as a power series cos x 1 X n 1 1 n 1 1 X Evaluate the indefinite integral as an infinite series cos X 1...
- Q List the first five terms of the sequence an n 3 21 82 23 35
- Q Find the image of vif T v v V V V3 V3 v 2 1 2
- Q The shaded region in the figure consists of all points whose distances from the center of the square are less than their distances from the edges of the square Find...
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