Calculus question and answers for August 21, 2023
- Q A helicopter hovers 1100 feet above a small island The figure shows that the angle of depression from the helicopter to point P on the coast is 32 How far...
- Q Graph the rational function x 10x 2 2x 4 Start by drawing the asymptotes Then plot two points on each piece of the graph Finally click on the graph a...
- Q Given the function below f x find the following a f 3 Select b f 1 Select c f 2 Select 2 0 1 5 x d f 3 Select...
- Q Find all solutions to the equation below log 3x 2 log3 x log2 x 2 1 x 6 is the only solution There is no solution x 1 or x...
- Q Consider the integral 2 x x 1 da In the following we will evaluate the integral using two methods A First rewrite the integral by multiplying out the integrand 2...
- Q The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced increases Here is a possible model C q 4 800 919 where q is...
- Q find area of surface generated by reviving th curv sin t X y 1 cos t 0 t 2 x axis 6 2 b 4 c 1T
- Q Solve the following Equations for 0 0 360 1 sin 2x sinx 0 2 cos 0 sin 0 0
- Q Find the y intercept of the polynomial function 7 f x x 2x 3 A 0 B 1 C 3 D 3
- Q Let g x 173x cos 21x Use the 2nd derivative to determine whether the graph of g is concave up or concave down at the point where x 0 12...
- Q Find the composite function for the given functions 2 fg for f x 7x 12 and g x 4x 1 A 28x 5 B 28x 47 C 28x 11 D...
- Q Suppose you were to use calculus techniques i e those from the lecture 22 notes to find the absolute extreme values of g x 8x x on the interval 2...
- Q An object is falling in such a way that its height in feet after t seconds is given by s t 16t 64t 80 What is the object s velocity...
- Q 1 Find the critical number s of the function f x x O 0 and x Ox and x 0 x 0 O There are no critical numbers
- Q Let h x x g x Given the following information compute h 3 g 9 7 g 9 3 g 3 5 g 3 8 g 2 4 g 2...
- Q 3 Sketch the graph of a function f for which f 0 0 40 3 f 1 0 f z 1
- Q 8 Given f x y ex y Let P 4 2 u 1 4 a Find the gradient of f at P b Find the maximum value of the directional...
- Q 5 Find the equation of the tangent line to the curve at the specified value of the parameter x 1 3 3t 5t y t t 4 at t 1...
- Q 8 Find the equation of variation given x varies directly as y and x 15 when y 2
- Q r 1 sin 1 S 4 w 2 of 5 24 to 7 40 1 2 d 7 5 O S 3 d
- Q Solving a right triangle means finding the missing length s of its and the measurement s of its legs sides angles
- Q 50 How much interest is generated by investing 7000 compounded continuously for 3 years at 2 5 annual interest
- Q Two cars are moving towards an intersection One car is 170 meters north of the intersection and moving towards the intersection at 11 m s while the other is 200...
- Q In 2005 the world population was 6 4 billion The exponential growth rate was 1 2 per year Fin the exponential growth function
- Q Two variable inequalities from their gr Google Classroom 5 4 3 2 5 Y 3 2 L 2 3 4 cr 1 2 3 4 5 Find the inequality represented...
- Q The population of a small town in central Florida has shown a linear decline in the years 1994 2004 In 1994 the population was 45200 people In 2004 it was...
- Q and work When you are completed take a picture and upload it to Schoology 1 f x x 5x 2x 8 Degree 3 odd ends go opposite L C 1...
- Q Quilt squares are cut on the diagonal to form triangular quilt pieces The hypotenuse of the resulting triangles is 36 cm long What is the side length of each piece...
- Q Find the equation in factored form and sketch the graph of a polynomial function with an inflection point at 0 1 and is tangent to the x axis at 2...
- Q 1 10 A curve is given by the parametric equations below A Graph x vs t and y vs t then sketch the curve in the x y plane B...
- Q The graph of which function has a minimum located at 4 3 f x x 4x 11 Of x 2x 16x 35 Of x x 4x 5 O f x...
- Q 160 B gure below the a g x 2 sin x 2 b g x sin x 2 c g x 2 sin 2x d g x 2 sin x...
- Q 13 Use an Addition or Subtraction Formula to write the expression as a COMBINED trigonometric function of one number and then find its exact value Round to 2 decimal places...
- Q What is the net outward flux of the rotation field F z 9y 6x 7x across the surface that encloses any region D in R www What is the net...
- Q Use Stokes Theorem to find the circulation of the following vector field around any simple closed smooth curve C F y z 2xyz 3xy z The circulation is
- Q 21 Solve the logarithmic equations for x apo shtronomo log x log x 3 2 log x 5 logo x 3 1 X 5 x 3 1 X 5 1...
- Q Given that cot 0 7 sec 0 0 for the angle 0 0 0 2 find the exact value of each trigonometric functi 0 a sin 20 b cos 20...
- Q Simplify 82 1 212 A x 82 1 OC 2x x 18 O E 22 8 24 13 OB 8x x4 D 2x z 1
- Q Solve for x to the nearest 10th 320 6790 0 88 3 2 450 MED samanl
- Q a Sketch 0 in standard position Then sketch an angle between 0 and 2x that is coterminal with 0 L
- Q Solve for the exact value of x 21n 1x 1 10 14
- Q Write the expression below as a single logarithm in simplest form 3 log 4 log 4
- Q 10 For the function f x e8 find f x
- Q What is the value of log6 6 5
- Q Express the following fraction in simplest form only using positive exponents 3d 4n5 3 19 33 4
- Q Use Pascal s Triangle to find the binomial coefficient 6 3
- Q Expand the binomial by using Pascal s Triangle to determine the coefficients 2v 3 6
- Q Use the Binomial Theorem to expand the complex number Simplify your result Remember that i 1 2 1 5
- Q 8 Find fxe 2 dx a c x x e x C xe 2x e 2x C b d xe 2x e 2x C xe 2 2x C
- Q 17 Find the radius of convergence for 1 k 1 xk k a c R 1 R 2 b 3 R 0
- Q 12 Find the slope of the tangent line to the curve x t 1 y 2t t 1 at t 1 a c 5 1 b d 4 3
- Q Consider the vector field 2 5 3 xr where r x y z a Compute the curl of the field and verify that it has the same direction as the...
- Q 3 3 points Find an equation of the tangent line to the graph of the function at the given point y ln 2 1 227 1 2 2 1
- Q 4 3 points Find the particular solution of the differential equation that satisfies the initial condition s f x sinx f 0 1 f 0 6
- Q Find dy by implicit differentiation x y y x da
- Q 49 If 3 identical prizes are available for a contest with 50 entrants in how many ways can the prizes be distributed What is the answer A 3 260 OB...
- Q 7 Z4 74 OA OB 24 10i 24 10i C 24 10i OD 24 10i
- Q 32 For the geometric sequence with a 5 and ag 405 find the common ratio OA B 119 113 C 9 D 3
- Q 37 2n lim n n 2 A 2 The limit B B does not exist C 1 2 D 0
- Q 12 Find the roots of this function f x x 2x 2 A 1 2 and 1 2 OB 1 i and 1 i OC 1 2 2 and 1...
- Q Find the lengths of the circular arc Assume r 9 and 0 132 6 6T X S S 0
- Q Determine the amplitude range period and phase shift and then sketch the graph of the function using the quarter points y 5 sin 4x x 1 The amplitude of y...
- Q Consider the following region R and the vector field F a Compute the two dimensional divergence of the vector field b Evaluate both integrals in Green s Theorem and check...
- Q Solve each trig equation below All angles are in radians 17 cotxsinxsec x cscx for 0 x 2 58 18 4sin2x 4cosx 5 0 for 0 x 27 58 19...
- Q 5 Solve the initial value problem y 2y y 2y y 2y 2y y y 0 1 y 0 0 y 0 3 y 0 2
- Q 1 pt Given the logistic function f t 3 function is maximum Leave your answer with 3 decimal places 1 2e 05 find the value of t where the growth...
- Q Graph the function and label all key points and aymptotes y 2 tanx 2 x
- Q 5 Solve the triangle Round your anwer to the nearest tenth wer in the space provided 3 B 110 C 4 a
- Q Let s solve the exponential equation 4e 80 a First we isolate e to get the equivalent equation b Next we take in of each side to get the equivalent...
- Q a Most calculators can find logarithms with base following Round your answers to three decimal places logs 16 log log and base e To find logarithms with different bases we...
- Q Use the Laws of Logarithms to expand the expression log3 2x
- Q The logarithm of a product of two numbers is the same as the sum of the logarithms of these numbers So log2 4 8 log2 4
- Q Use the Laws of Logarithms to expand the expression logs xy
- Q Graph y sin 0 First choose the appropriate starting graph from the ones below Then transform it to make it the graph of y sin 0 2 z k f...
- Q g Find the equation of the major axis h Find the equation of the minor axis i Plot the foci and the center j Draw the major and minor axes...
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