Calculus question and answers for December 24, 2023
- Q Use a substitution to find f sec 0 tan de sec 0 Os C O4 sec 0 tan0 C
- Q 5 Find the number of sides for a polygon whose sum of the measures of its interior angles is a 900 b 1260
- Q Use a substitution to evaluate the definite integral 0 1 In 3 01 In 2 Cos 11 sin dr
- Q Assume a is opposite side a is opposite side b and y is opposite side c Solve each triangle for the unknown sides and angles if possible If there is...
- Q Use a substitution to find fre 1 da O e 1 2x e C 0 0 O e 41 C
- Q Use a substitution to evaluate the definite integral cos x da Osin 1 Ocos 1 sin 1
- Q 3 15pts Evaluate cos B where cos 3 4 with in 2th Quadrant and sin 5 7 with B in Quadrant II 4 16 pts Find an equivalent expression for...
- Q Problem 26 Suppose 7 R R be a linear transformation whose standar matrix has the basis 0 1 2 1 0 1 2 1 1 Find an orthonormal basis R...
- Q 2 15 pts Simplify the following cosx tanx COSX 1 sinx 3 15pts Evaluate cos 0 3 where cos0 3 4 with in 2th Quadrant and sin 5 7 wi...
- Q Given S is a surface for a part of the sphere x y z 4 that lies above the cone z x y Find a parametric representation for the surface...
- Q 5 15 pts If tanx 1 6 and x is in the fourth quadrant 6 18 pts Prove the following tan x sin x tan xsin x
- Q Find a power series for the function centered at c 5x x 3x g x I g x C 0 100 n 2 1 1 1 n 0 Determine the...
- Q Find the partial fraction decomposition of the rational function x 14 x 2x 8 2 x 2 3 2 2 2
- Q Differentiate f x sin x cot x 4 F x cos x csc 2 x
- Q Use the power series 1 1 x to find a power h x h x 00 n 0 00 1 x Ixl 1 n 0 series for the function centered...
- Q Find each equilibrium solution x t x of the given second order differential equation x f x x 0 Use a computer or graphing calculator to construct a phase portrait...
- Q 3 The asymptotic expression f n O g n means there exists a constant c 0 and an integer No such that for all nz No f n sc g...
- Q Find the radius of convergence of the power series If you need to use co or co enter INFINITY or INFINITY respectively 1 n 0 n 9
- Q Find the interval of convergence of the power series Be sure to include a check for convergence at the endpoints of the interval If the answer is an interval enter...
- Q ind the interval of convergence of the power series Be sure to include a check for convergence at the endpoints of the interval If the answer is an interval enter...
- Q State where the power series is centered nx n 0
- Q sinx cos2x 1 Write your answer in radians in
- Q Given a generic point M in the Argand diagram representing the complex number z and let 8 iz 61 zi s t Re U 0 Determined the circle representing the...
- Q Use the figure to evaluate the definite integrals g 1 dt and 2 1 2 8 1 a 1 g t dt y g t 2 3 4 5 8...
- Q The function f x 16x 4 is one to one a Find the inverse of f and check the answer b Find the domain and the range of f and...
- Q Find the equation of the graph given below using the points provided Notice that the cosine function is used in the answer template representing a cosine function that is shifted...
- Q graph be the two points that are labeled on the graph given below Notice that the sine unction is used in the answer template representing a sine function that is...
- Q ind and sketch the level curves f x y c on the same set of coordinate axes for the given values of c Refer to these level curves as contour...
- Q f f 3 For the function f x y sin 5x 8y find and dx dy f x f 0
- Q dz Draw a dependency diagram and write a chain rule formula for where z h m n m g q n f q dq Choose the correct dependency diagram below...
- Q Sketch the graph described by the following cylindrical coordinates in three dimensional space r 6 Choose the correct answer below A 12 OE 12 12 12 OB 11 6 OF...
- Q Sketch the region of integration associated with the double integral S S f x y 1 X Choose the correct sketch of the described region OA f x y dydx...
- Q a x y Find the image d u v Solve the system u 2x y v 3x 2y for x and y in terms of u and v Then find...
- Q Evaluate the iterated integral 2 1 25 S S 18x y dy dx 21 5 18x y dy 1 0 dx x Simpaty Simplify your answer
- Q Evaluate the integral 2 X x 4x 20 dx
- Q Use integration by parts together with the techniques of this section to evaluate the integral Use C for the constant of integration x tan tan x dx
- Q Evaluate the integral x x 1 x 1 x 2 dx
- Q Evaluate the integral 4y 5y 12 dy y y 2 y 3
- Q On the graph of f x sec x and the interval 2 0 for what value of x does f x 1 Choose all answers that apply Select all that...
- Q Evaluate the integral L z X 4x 20 cx
- Q Given that sec x 2 what is sec x
- Q a Write out the form of the partial fraction decomposition of the function as in this example Do not determine the numerical values of the coefficients x6 x2 4 b...
- Q Problem 6 Sketch a graph of the function f that satisfies the following conditions f is continuous on f 2 1 f 0 0 f 2 1 f 0 0...
- Q 6 A patient is injected with a drug and t hours later the concentration of the drug remaining in the patient s mg cm What is the average concentration of...
- Q On the graph of f x csc x and the interval 2 0 set the moving point to a value of x such that f x 1 Provide your answer...
- Q Evaluate the integral 2 6 2x 3x 3 dx 1
- Q On the graph of f x csc x and the interval 0 2 set the moving point to a value of x such that f x Provide your answer below...
- Q The equation T 0 6sin 2 t 8 101 4 describes the body temperature of a cow in Fahrenheit where t is time in 2 Do not include the units...
- Q a b c d dx X 7 S Since the function y Since the function y Since the function y Since the integral dx x 9 Since the integral Since...
- Q c tan x dx 11 Since the function y tan x has an infinite discontinuity at x 0 the integral is a Type 2 improper integral Since the function y...
- Q What is the amplitude and period of the function shown below 3 Provide your answer below 2 1 1 0 1 24 3 4 5 56 6 0 2 3...
- Q Given that csc x 9 29 what is csc x
- Q Explain why each of the following integrals is improper s dx x 7 O Since the function y O Since the function y O Since the integral 1 O Since...
- Q a Sketch the garden use INSERT SHAPES and INSERT DRAW b How many meters of stone do you need to create the border FO 12 9 Danielle wants to create...
- Q American General offers a 18 year annuity with a guaranteed rate of 6 47 compounded annually How much sho you pay for one of these annuities if you want to...
- Q z and z where z 9xy 3x y x 3s 3t and y 3s 3t 4 0 Type an expression usings and t as the variables 4 0 Type an...
- Q On the domain of 0 2 set the moving point to a value of x such that cos x sec x Provide your answer below 10 5 0 5 TT...
- Q 3 Use a half angle formula to find the exact value of sin 8 sin 3 8 0 3 X G
- Q Question The equation d 5sin 24t measures the displacement of a swinging pendulum in simple harmonic motion t is measured in seconds and d is measured in centimeters What is...
- Q Problem 4 Use the following price demand equation to determine whether demand is elastic inelastic or has unit elasticity at the indicated values of p x f p 12 000...
- Q Provide your answer below 4 2 O 2 and the interval 0 2 set x to a value such that f x I 1 9 10 0 1 1 TT...
- Q y 3 sin 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 The population densities of a rectangular county are shown in the figure to the right a Use the fact that population population density x area to estimate the population of...
- Q Problem 3 A 7 ft tall person is walking away from a 20 ft tall lamppost at a rate of 5 ft sec Assume the scenario can be modeled with...
- Q On the graph of f x cos x and the domain 2 x 4 for which of the following intervals is f x strictly increasing Choose the lower and the...
- Q On the graph of f x cos x and the interval 2 0 for what value of x does f x achieve a maximum Choose the point in the figure...
- Q Find the arclength of y 2x 2 on 0 x 3 sinh 12 8 3 195 2 X
- Q On the graph of f x sin x and the domain 2 x 4 for which of the following intervals is f x strictly increasin Make sure to use the...
- Q Find the arclength of x 3y 201 on 2 y 6 to three decimal places
- Q Given that sin x 3 what is sin x
- Q Find the surface area of revolution about the x axis of y 4x 7 over the interval 0 x
- Q Find the area between the curves y e 0 3 and y 2 2x 1 from x 0 to x 1 Area
- Q Find the arclength of y 2x 2 on 0 x 3 2
- Q The following series are geometric series Determine whether each series converges or not For the series which converge enter the sum of the series For the series which diverg without...
- Q Given the series OF 25 125 9 81 625 3125 729 6561 Does this series converge or diverge O converges O diverges
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