Calculus question and answers for January 28, 2024
- Q Differentiate the following function y x ex dy dx 11
- Q f t 1 4 4 t 8
- Q 4 2 y x 5 17 1 4 r 3 V r 3 9
- Q 9 Y t 6t
- Q 3 4 V r 1 1 r 3
- Q x r 8 1 2 4
- Q The current toll for the use of a certain toll road is 2 75 A study conducted by the state highway department determined that with a toll of p dollars...
- Q JLO y x 5
- Q 1 f x 186 5 2 f x 5x 1 2 3 f x x 3x 4
- Q 8 A spotlight on the ground shines on a wall 12 m away If a man 2 m tall walks from the spotlight toward the building at a speed of...
- Q Find a center of mass of a thin plate of density 8 6 bounded by the lines y x and x 0 and the parabola y 2 x in the...
- Q Suppose that f x 3x 1 and g x 2x 9 a Solve f x 0 c Solve f x g x b Solve f x 0 d Solve f...
- Q 4 If a snowball melts so that its surface area decreases at a rate of 1 cm min find the rate at which the diameter decreases when the diameter is...
- Q 5 The radius of a spherical ball is increasing at a rate of 2 cm min At what rate is the surface area of the ball increas ing when the...
- Q 7 B 74 3 a 859 m b 783 m
- Q direction that is 165 counterclockwise from the x axis Part A Find the x component of this vector Express your answer in meters View Available Hint s Hint 2 Simplify...
- Q 3 Each side of a square is increasing at a rate of 6 cm s At what rate is the area of the square increasing when the area of the...
- Q Draw a propane 1 ol b heptane 2 ol c Ethanol d Diethyl ether e dipropyl ether f methyl ethyl ether
- Q aume All of question 4 4 LOH HH OHH H OH H
- Q 3 Draw the following a Ethanal b Propanal C Pentanal All of question d Hexane 2 one e Octane 3 one f Decane 5 one
- Q Evaluate each function ANSWER SHOULD BE A FRACTION OR MIXED NUMBER ANSWERS GIVEN AS A DECINMAL WILL BE COUNTED AS INCORRECT 5 f x 2 Find f 6 4 3...
- Q 2 Which of the following has a point discontinuity c y x a y X b y x 1 X d y x 1 x 1
- Q For each of those 4 values below answer the following questions a Does the limit exist if yes the value b What type of discontinuity is it 11 Examine the...
- Q 7 The height of an object thrown from a cliff is modeled by h t 4 91 3 6t 63 where tis time in seconds and h t is height...
- Q 3 Determine the equation of the tangent line to the curve f x x 6 at x 10D A3
- Q 10 The function f x is known to be continuous determine the value of a and the value of b required to make this statement true T4 6 x x...
- Q 3 0 3 b0 3 For the function f x lim f x 1 f a 2 lim f x 3 In terms of continuity and discontinuity this function has...
- Q 9 Determine the limit of lim x 8 2 X x 8 T4
- Q 6 Find the slope of the tangent at the given point f x 3 X at x 4 K3
- Q 5 Determine if the limit exists at x 1 and if so determine the value 2x 3 x 1 f x 6 x 1 3x 2 x 1 K2
- Q 4 What is limx 4 x 2x 3 a 3 b 2 c 3 d 21
- Q As always show you work all relevant steps any formulas used correct use of good mathematical form and clearly indicate your answers Use skills appropriate to this chapter Circle the...
- Q As x f x As x 5 f x As x 5 from the right f x lim f x x 3 lim f x X 6 graph of f...
- Q Let R be the flow rate of a gas through a cylindrical pipe for a fixed drop in pressure between the two ends of the pipe For the following recall...
- Q 2 Find a center of mass of a thin plate of density 8 6 bounded by the lines y x and x 0 and the parabola y 2 x the...
- Q f x I 2 kx x 1 5 3x x 1 207 If lim f x 3 and lim g x 7 find lim x 2 x 2 x2 f...
- Q 206 Find lim 72 3
- Q Consider the solid bounded below by the xy plane on the sides by the sphere p 5 and above by the cone 3 a Find the spherical coordinate limits for...
- Q 203 Find lim x 3 r2 52 6 x 3
- Q Find the volume of the solid bounded by z 7 7 x y and z 2 The volume is Type an exact answer using as needed x y 1 z...
- Q 109 Find the average rate of change between x 2 and x 5 based on the graph below 11 10 9 6 54321 Ay y f x I 4 5...
- Q 101 Solve the inequality 1 1 4 x 2 0
- Q n 108 Suppose that the value V of a certain product depreciates with time t where V t 120 Find lim V t 30t 16 t
- Q Fiven the polynomial identify the coefficients and degree of each term 3x 2 7x 3x 4x First term degree Second term degree Third term coefficient 3 coefficient 2 degree 2...
- Q 105 Find lim f x if x 1 1 f x 2 2 x 1 x 1 x 1
- Q Evaluate the integral 2n 21 TC S sin t dt I si sin t dt Simplify your answer including any radicals Use integers or fractions for any numbers in th
- Q If f x x 5 and 2 g x x 1 find f g x 1
- Q SS S p sin dp do do 0 0 0 Evaluate the spherical coordinate integral The value is Type an exact answer using as needed
- Q Math 126 Homework 9 Sects 2 7 2 8 3 12 pts a Find the inverse function of f where f x 3x 11 b Use function composition to prove...
- Q Given the relationship between the perimeter of a square and its side length ans a On the graph below i Construct a graph on the axes below to represent the...
- Q 5 State the definition of the 6 Use the definition of the derivative i e the four step process to find the derivative of f x 7 4r
- Q Determine whether the following pair of lines is parallel intersects at a single point or is skew If the lines are parallel determine whether they are the same line and...
- Q Suppose the value of y and the value of a vary together at a constant rate of change so that Ay 0 5 Ax and y 1 5 when x...
- Q Practice For each problem find the required composition and state the domain of the composition f x 1 h g x 2 g h x 3 h f x 1...
- Q Determine if the improper integral converges and if so evaluate it dr 8 2 Write F if the integral doesn t converge
- Q Evaluate the integral sec sec 66x tan 6x dx sec 66x tan 6x dx
- Q Evaluate the integral S sec sec 5x tan 55x dx sec 5x tan 55x dx
- Q Evaluate the integral 2 sec 4 ec 30 de 4 2 sec 30 d0
- Q Evaluate the integral 3 sin x dx sin x dx
- Q In each part determine all values of p for which the integral is improper Enter in interval notation or none if there are no relevant values of p dx 0...
- Q Use any method to evaluate the integral cot 4x sec 4x cot 4x sec 4x dx dx 0
- Q Evaluate the integral 2 cos 5x dx 3 2 cos 5x dx 3
- Q Evaluate the integral T S 2 3 70 sin 4x cos x dx I S 2 Simplify your answer including any radicals Use integers or fractions for any numbers in...
- Q Evaluate the integral Scos 3 cosx sin xdx 3 cos cosx sin xdx
- Q Evaluate the integrals that converge enter DNC if integral Does Not Converge S 0 8 x da
- Q Find the indicated integral if it exists 8 e8x el6x 1 dx
- Q Box Office Receipts The total worldwide box office receipts for a long running movie are approximated by the following function where 7 x is measured in millions of dollars and...
- Q Use L H pital s Rule possibly more than once to evaluate the following limit 102 112 lim 818 NE in the blank
- Q A polynomial function has 3 real zeros and 4 non real zeros One of the real zeros has a multiplicity of 6 What is the degree of the polynomial 1...
- Q Apply L H pital s Rule to evaluate the following limit It may be necessary to apply it more than once 5x 5 x 7 2 lim
- Q 4 No calc The x coordinate of the point where the line tangent to the parabola y 8x at 2 4 intersects the axis of symmetry of the parabola is...
- Q Find a polynomial f x of degree 4 with real coefficients and the following zeros 1 multiplicity 2 1 2i To
- Q Divide 10 13x 8x 2x 4 Write your answer in the following form Quotient 10 13x 8x 2x 4 0 0 2x 4 Remainder 2x 4 15
- Q Solve the following inequality x 6 312 0 0 x 5 Write your answer using interval notation 0 0 0 0 0 0 0 0 8 8 QUD
- Q The graphs of f and g are given Find a formula for the function g g x 5 an g y 5 5 f x x 50 X
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