Calculus question and answers for January 01, 2024
- Q Evaluate the integral 4 x x 1 0 x 1 x 2 4 1 3 10g 5 27 25 X dx
- Q Evaluate the integral 1 X 6 x 6x 8 dx
- Q Evaluate the integral Remember to use absolute values where appropriate Use C for the constant of integration y 2 5y 1 dy In y 2 In 5y 1 C 11...
- Q Evaluate the integral S 2x 2 3x 1 dx
- Q To solve the following nonlinear system by eliminating y terms what number should equation 2 be multiplied by x 3y 3 x y 0 1 2 Multiply equation 2 by...
- Q 1f ex dx e Use the properties of integrals and 1 zex dxe3e to evaluate 4 ex 5 dx
- Q Find the cofactor of each element in the second row 2 6 3 15 1 1 1 5 The cofactor of 1 is
- Q Sketch the graph and the rectangles y 3 2 O 3 2 y 3 2 mal places 1 2 y 3 2 1 1 2 X
- Q square is inscribed in a circle such that each corner touches the circle A Find a function that gives the area of the square as a function of the radius...
- Q We also know that I Rx it f x f x dx f x dx F F x f x dx f x dx Therefore we can say the following
- Q Calculate the sum of the series sn n 1 5n 1 00 a whose partial sums are given n 1
- Q not be able to come back to the skipped part Tutorial Exercise Express the number as a ratio of integers 0 82 0 82828282
- Q grap a b 18 g c y 12 6 1 9 0 Evaluate each integral by interpreting it in terms of areas g x dx g x dx y g...
- Q a What is the difference between a sequence and a series A sequence is the sum of a list of numbers whereas a series is an ordered list of numbers...
- Q Unless specified all approximating rectangles are assumed to have the same width Let f x X a Estimate the area under the graph of f the x axis and the...
- Q IF f x dx 35 and g x If g x dx 16 find LAFE 4f x 5g x dx
- Q Write the following expression as a single definite integral of the form m F x f x dx F x dx f x dx f x dx Step 1 f...
- Q 1 3 Use the Divergence Theorem to evaluate F ds where F x y z z xi First compute integrals over S and S where S is the disk x...
- Q Evaluating a Function In Exercises 11 and 12 evaluate the vector valued function at each given value of t 11 r t i t 1 j a r 1 Answer...
- Q Finding the Domain In Exercises 3 4 5 6 7 8 92 and 10 find the domain of the vector valued function 3 r t i j3tk Answer 4 r...
- Q Higher Order Differentiation In Exercises 19 20 21 and 22 find a r t b r t and c r t r t 19 r t t i t j...
- Q Finding the Domain In Exercises 3 4 5 6 7 8 9 and 10 find the domain of the vector valued function 1 t 3 r t i j 3tk...
- Q Finding the Domain In Exercises 3 4 5 6 7 8 2 and 10 find the domain of the vector valued function 3 r t i j3tk
- Q Finding a Derivative In Exercises 11 12 13 14 15 16 17 and 18 find r t 11 r t t i 5tj Answer 12 r t ti 1 j...
- Q Find the correct partial fraction decomposition for 9y 11y 3 5y 4 y 1
- Q Fill in the blanks in the statement below The represents the expected proportion of intervals that will contain the parameter if a large number of diffe samples of size n...
- Q Differentiation of Vector Valued Functions In Exercises 3 4 5 6 7 8 9 and 10 find r t to and r to for the given value of to Then...
- Q fferentiation of Vector Valued Functions In Exercises 3 4 5 6 7 8 2 and 10 find r t and r to for the given value of to Then sketch...
- Q If f is integrable on a b then Use this to evaluate the integral y d Interpret the integral in part c as a difference of areas O The integral...
- Q Finding a Unit Vector In Exercises 15 16 17 and 18 find a unit vector that is orthogonal to both u and v 15 u 4 3 1 v 2...
- Q 2 2 Find the average distance from a point P x y in the disk x y 16 to the origin The average distance is Simplify your answer 8 1...
- Q Area In Exercises 19 20 21 and 22 find the area of the parallelogram that has the given vectors adjacent sides Use a computer algebra system or a graphing utility...
- Q Draw a dependency diagram and write a chain rule formula for w f x y x m n p y k n p Choose the correct dependency diagram for dw...
- Q Finding a Cross Product In Exercises 11 12 13 and 14 find u v and show that it is orthogonal to both u and v 11 u 4 1 0...
- Q Finding Cross Products In Exercises 7 8 2 and 10 find a u x v b v x u and C V X V 7 u 2i 4j v 3i...
- Q Part 1 of 2 We must solve 125 75 110e 1 30 In 15 22 t or 5 11 e 1 30 In 15 22 t 5 11 Part 2...
- Q Find the maximum value of s xy yz xz where x y z 24
- Q Exercise b When will the turkey have cooled to 125 Part 1 of 2 We must solve 125 75 110e 1 30 In 15 22 t or e 1 30...
- Q upper sum lower sum Illustrate 11 FIS 7 3 T DO T 2T FIM KI3 5 3 K 7 O 510 2 T 1 KI3 FI3 5 K IT
- Q Finding Dot Products In Exercises 3 4 5 6 7 8 9 and 10 find a u v b u u c v d u v v and e u...
- Q 30 Part 5 of 5 Since T 75 110e 1 30 In 15 22 t we have the following Round your answer to the nearest who T 90 F
- Q With a programmable calculator or a computer it is possible to evaluate the expressions for the sums of areas of approximating rectangles even for large values of n using looping...
- Q Integrating both sides gives us In 7 75 Part 3 of 5 We now know that T 75 ekt C 75 Kekt Since T 0 185 then K In T...
- Q upper sum lower sum Illustrate TT FIN KIN 2 TT TT KIN 2 FIN 2 TT
- Q Express the integral as a limit of Riemann sums using right endpoints Do not evaluate the limit r6 5 x dx Find the width of each subinterval in terms of...
- Q Since the room temperature is 75 F Newton s Law of Cooling says that dT dr K T 75 dt 455 Separating this gives us 1 T 75 Part 2...
- Q If the temperature of the turkey is 150 F after half an hour what is the temperature after 90 minutes Part 1 of 5 Since the room temperature is 75...
- Q f x 1 cos with n 3 4 and 6 Illustrate each case with a sketch similar to the figure shown below Round your answers to two decimal places n...
- Q After how long will only 1 mg remain Step 1 To find the time at which only 1 mg remains we must solve 1 y t 50 2 t 30...
- Q 57 Braking Load A 48 000 pound truck is parked on a 10 slope see figure Assume the only force to overcome is that due to gravity Find Answer a...
- Q 19 84 19 84 mg Round your answer to two decimal places Exercise c After how long will only 1 mg remain Step 1 To find the time at which...
- Q 6 16 5 a Find an approximation to the integral using a Riemann sum with right endpoints and n 8 Rg b Draw a diagram to illustrate the approximation in...
- Q 43 u 9i 2j 4k v 4j 4k Answer a 0 3 3 b 9 1 1
- Q The graph of the function f is given y 24 18 12 9 0 6 y f x 12 18 24 30 36 a Use six rectangles to find estimates...
- Q 13 u 3i j v 2i 4j Answer a 1 7127 b 98 1
- Q 17 u 3i 4j v 2j 3k Answer a 2 0306 b 116 3
- Q Use this definition with right endpoints to find an expression for the area under the graph of f as a limit Do not evaluate the limi f x 4 sin...
- Q 23 u j 6k v i 2j k Answer Neither
- Q Use the Midpoint Rule with n 4 to approximate the integral 2 7x MA 7x 9 dx
- Q Let f x 9 4x a Estimate the area under the graph of f the x axis and the lines x 1 and x 2 using three rectangles and a...
- Q Oil leaked from a tank at a rate of r t liters per hour The rate decreased as time passed and values of the rate at two hour time intervals...
- Q 3g f x 2 cos x 0 sxs 4 evaluate the left Riemann sum with n 6 taking the sample points to be left endpoints Round your answer to six...
- Q The graph of the velocity of a braking car is shown v ft s 90 60 30 0 2 4 6 t seconds Use this graph and a midpoint sum...
- Q 1 Prove the following cos2x 1 sin2x cotx 2 Find all solution in 0 27 Sin 2x sin x 0
- Q Rewrite the equation in standard form then tell the positive b value of the following 9y 4x 18y 32x 91 0 4 9 01 156 None of these 3 12...
- Q Determine if the following equations represent a parabola an ellipse or a hyperbola x 1 4 y 3 45 100 49x 25y 294x100y 884 0 y 12y x 28 0...
- Q Find the exact values of the center vertices and foci of the following equation 2 3 v 2 1 16 Choose the one best and most complete match for each...
- Q Determine the correct graph for the following equation y 8y 4x 8 0
- Q Determine the correct graph for the following equation x 3 y 2 16 9 ERCORSERIE 1
- Q Determine the correct graph for the following equation x 1 12 y 3
- Q Solve for x in the interval 0 2 Give exact values where appropriate If an exact answer cannot be found give a decimal answer rounded to the nearest 2 decimal...
- Q Use Stokes theorem to evaluate F dr F x y z zexi z 6y j x 9z k C is the circle y2 z 9 x 4 oriented clockwise as...
- Q Find the average value of the function f p 4 0 p over the solid ball p 9 The average value is 27 4 Simplify your answer Type an exact...
- Q Find the gradient field of the function f x y z x y 3z 1 2 The gradient field is Vf 1 x y 3z xi yi 3zk
- Q Find and dx dy 2 2 f x y 4x y 4x dx 4x y ax y ay 4x y Type an exact answer using radicals as needed Type an...
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
- Unlimited Question Access with detailed Answers
- Zin AI - 3 Million Words
- 10 Dall-E 3 Images
- 20 Plot Generations
- Conversation with Dialogue Memory
- No Ads, Ever!
- Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!