Calculus question and answers for March 03, 2024
- Q Instructions Use algebraic techniques to solve problems unless otherwise instructed Show the calculations leading to your answers except basic arithmetic Simplify and circle your final answers 1 12 pts The...
- Q 4 12 pts Based on historical data for population growth rates and the initial number of eagles present in a region biologists expect an eagle population to grow according to...
- Q This exercise uses the population growth model The population of the world was 7 1 billion in 2013 and the observed relative growth rate was 1 1 per year a...
- Q This exercise uses the radioactive decay model If 250 mg of a radioactive element decays to 240 mg in 48 hours find the half life of the element Round your...
- Q Instructions Use algebraic techniques to solve problems unless otherwise instructed Show the calculations leading to your answers except basic arithmetic Simplify and circle your final answers 1 12 pts The...
- Q Completely factor the following polynomial functions 6 x 16 7 x 2x 24 8 3x 9x 18x
- Q Find the solution of the simultaneous linear differential equations dx dt dy 2x2y 4e 2t dt that satisfies the initial conditions 0 7 y 0 4 5x 3y 17e 2t
- Q Suppose that f is the function given in the graph below and that f is a piecewise function whose parts are either portions of lines or portions of circles as...
- Q roblem 3 Evaluate the following integral Problem 3 3 6 cot x In sin x dx Enter yo as in the
- Q Problem 6 Find the arc length of the following function on the given interval f x 4 24 1 4x n 1 x 2 Enter your answer as an exact...
- Q Problem 7 Find an expression for the arc length of the upper half of a circle of radius 22 on the interval 0 t where 0 t 22 Problem 7...
- Q roblem 1 Evaluate the following integral 4 x 2 x 5 dx Don t forget the absolute value in your answer Problem 1 Enter your answer as a symbolic function...
- Q Problem 5 Evaluate the following integral 3 8 1 So 64x 9dx 0
- Q Problem 4 Evaluate the following integral 1 2 100 Problem 4 dx Enter your answer as a sym function of x as in these examples
- Q Problem 6 Consider the partial fraction decomposition of the following Problem 6 1 x 1 x 8 One of the terms in the partial fraction decomposition is of the form...
- Q Problem 4 By making an appropriate substitution which of the following integrals is equal to SFR Problem 4 dx x x 9 5 2 8 A 37 sin 8 G...
- Q Problem 1 Evaluate the following integral S 12 sin 6x dx
- Q Problem 3 Evaluate the following integral dx 1 x 16 A j 7 16 is arctan C B 16 Tarctan f C 2 16 arctan C 2 2 D 16...
- Q Problem 2 By making an appropriate substitution which of the following integrals is equal to tan x sec 0 x dx Problem 2 A u 1 u du B x...
- Q Problem 5 Find the remainder after performing the following divis 11x 5x x 5 Problem 5
- Q A rectangle is inscribed with its base on the x axis and its upper corners on the parabola y 5 x What are the dimensions of such a rectangle with...
- Q The data in the table below represents the percentage of patients who have survived after diagnosis of advanced stage breast cancer at 6 month intervals of time Time after Diagnosis...
- Q Let u 5 4 and v 4 6 Find the a component form and b magnitude length of the vector 5 12 13 13 a 5 13 12 13 V
- Q K 5 9 A strain of bacteria is placed into a petri dish at 30 C and allowed to grow The following data are collected Theory states that the number...
- Q If AB i 5j 4k and B is the point 9 4 1 find A
- Q The financial director of a hotel finds that the income stream measured in thousands of dollars varies depending on the season She estimates that the total income can be modeled...
- Q A company models its income in thousands of dollars using the conti f t 20e 0 0251 12 where t is measured in months Which of the following denotes the...
- Q A strain of bacteria is placed into a petri dish at 30 C and allowed to grow The following data are collected Theory states that the number of bacteria in...
- Q What is the value of the definite integral exact fraction if necessary Provide your answer below 3 1 2 21 1 2 di Enter your answer as an
- Q Let A z f t dt with f x shown in the graph below 0 st 4 3 2 1 2 3 At what x values does A x have...
- Q If q r S d r cost t2 cos 5 0 2r dt then syntax error Question Help Video Add Work X
- Q Given At what value of x does the local max of f x occur x f x S a At what value of a does the local min of f...
- Q Let f x 5e 2 3 3 1 1 6 de t dt 0 1 List all values of x for which f x has a local maximum X
- Q If q r d r cost9 t2 cos r 2r F Quoction Hair mucu dt then X
- Q 26 If y x 8 widw then 0 y x 6x6 8 x 4 24 Question Help Video X
- Q If q r Syr d r cost9 t dt then
- Q If y x 1 V8 widw then
- Q 4 I If h x h x 5 0 84 dw COS dw then
- Q Find the derivative of y with respect to x t or 0 as appropriate In x x6 27 y A 1 6ln x x12 B 6ln x 1 x7 1...
- Q If f t n s 49 7 ds then f t 1 8
- Q Next question 17 If f x t Get a similar question You can retry this to dt then f x 17 Hint Remember that f a t d 1 to...
- Q Answer the following questions about F x x 43x 486 B Graph F x and use geometric formulas to calculate the area between the graph of F x and the...
- Q ind the derivative of the function 25 r sec 0 tan 0 2 A 2 sec 0 tan 0 3 tan2 0 sec 0 tan 0 C 2 sec 0...
- Q Use geometric formulas to find the unsigned area between the graph of y f x and the x axis over the indicated interval f x x 8 2 9 The...
- Q 1 6 Find the area y 3x 15 and y x 5 and the y axis x20 LOW
- Q Find the critical point s of the function f x y y6 6xy 12x and determine whether each is a local maximum local minimum a saddle point or none of...
- Q Current Attempt For f x y A x Bx y Cy what values of A B and C give f x y a local maximum value of 17 at the...
- Q Find an equation for the tangent to the curve at the given point 20 f x 8 x x 9 64 9 A y x 9 B y 9 C...
- Q For f x y A x Bx y Cy what values of A B and C give f x y a local maximum value of 17 at the point 10...
- Q T 1 A graphing calculator is recommended Sketch the region enclosed by the given curves 1 x3 y y 1 x2 0 5 0 5 y 1 0 0 5...
- Q etermine where the given function is concave up and where it is concave dow 19 f x 4x x3 A Concave up on 0 concave down on 0 B Concave...
- Q T S S Sketch the region enclosed by the given curves y 3 x y 12x Y 3 6 1 y 8 2 X 0 3 4 82 M 6...
- Q y 3 M al JS Secti al ah Sketch the region enclosed by the given curves Decide whether to integrate with respect to x or y Draw a typical approximating...
- Q Find the extreme values of the function and where they occur 17 y 1 x2 1 A None B Local maximum at 0 1 C Local maximum at 1 0...
- Q Find the area of the shaded region y 3 2 1 1 1 5 10 y x y XIT 15 20 X 27 25 PERM X
- Q Atte Sketch the region enclosed by the given curves x 9y2 x 2 7y 1 0 y 0 5 0 5 1 0 1 0 0 0 5 0 5...
- Q Evaluate the definite integral 5 6 v1 3x dx
- Q 2 1 1 M W Sketch the region enclosed by the given curves Decide whether to integrate with respect to x or y Draw a typical approximating rectangle 2x y...
- Q O The matrix is in RRE form O There is a leading entry of a row that is NOT one 1 0 3 0 0 0 0 1 4 O...
- Q Evaluate the definite integral 8 X
- Q Solve the system below by using Gauss Jordan Elimination This means convert the system to an augmented matrix put that matrix in reduced row echelon RRE form using row operations...
- Q s x sin x cos x v x sin x X t x w x X cos x sin x u x x 4x 5x x 3x 2 y x...
- Q 2 Get a formula for the derivative of the following functions f x 2x 5x 3x 1 k x x 3x 2 x 1 g x m x x 1...
- Q p x x 4 sin x s x sin x cos x sin x v x X x 2 tan 3x 1 q x t x w x X cos...
- Q Are the following functions derivable at the given point If so calculate the derivative f x g x x if x 0 200 if x 0 sin x x in...
- Q nd the domain and range of the function 6 1 g z 2 1 A D 1 00 R 0 00 C D 1 R 0 00 B D 1...
- Q Calculate the second and the third derivatives of the following functions f x 4x 6x 2x 1 k x sin 2x x 1 g x x 1 h x cos...
- Q A chemist has a 100 gram sample of a radioactive material He records the amount of radioactive material every week for 6 weeks and obtains the following data Complete parts...
- Q Calculate the following derivatives using the definition f x 3x on x 3 g x 4x on x 1 h x 2x 5x on x 1 k x 4x on...
- Q The function f x x5 52x 2x 147x 98 has the graph given to the right Use the graph to factor the polynomial What is the factored form of the...
- Q A person wants to purchase both parcels of land shown in the figure to the right and make a check on their combined area There is no equation for the...
- Q 3 2 6 5 32 2 2 3 5 6 At the point shown on the function above which of the following is true Of 0 f 0 of 0...
- Q Suppose parametric equations for the line segment between 7 6 and 4 3 have the form a b If the parametric curve starts at 7 6 when t 0 and...
- Q 42Y BIOMEDICAL CHOLESTEROL An experimental drug lowers a patient s blood serum cholesterol at the rate of t 25 t2 units per day where t is the number of days...
- Q Find the standard form of the equation of the ellipse with the given characteristics Center 2 9 a 3c foci 5 9 9 9
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