Calculus question and answers for March 06, 2024
- Q Simplify the expression cos t 1 sin t sin t cos t 1 as much as possible help formulas
- Q Simplify the expression as much as possible cos t 1 sin t N help formulas
- Q Evaluate the indefinite integral given below using the indicated substitution fa Provide your answer below 17 8x dx u 17 8x
- Q Use a calculator to approximate the value of the expression if possible Round your answer to the nearest cos 0 58
- Q Calculate the binomial coefficient 16C15
- Q Find the sum 5 i 0 41
- Q Calculate the binomial coefficient 11CB
- Q Consider the function f x 12 Graph the exponential function by hand 0 5 4 Identity any asymptotes 300 250 200 150 100 300 250 200 150 100k 50
- Q Find the area of the triangle having the indicated angle and sides Round your a B 125 a 94 c 39
- Q In the triangle below x 8 Use the Law of Cosines to solve the triangle Round your answers to two decimal places B 12 cm O O O B 18...
- Q Use the Law of Sines to solve the triangle Let a 12 mm Round your answers for b and c to two decimal places O b mm mm b 350...
- Q Solve the exponential equation 3x 9 X
- Q Solve the logarithmic equation Round your answer to three decimal places log10 x 1133 X 1
- Q Find the inverse function of f informally Verify that f f 1 x x and f f x f x 8 x 2 f 1 x X
- Q 6 15 Use the method of variation of parameters to find the general solution to the differential equation y 2y y x 1 ex No credit for any other method
- Q pic 12 Quiz 1 0 Of g x dx converges Of g x dx diverges Of h x dx converges Of h x dx diverges
- Q A high speed bullet train accelerates and decelerates at the rate of 10 ft s Its maximum cruising speed is 90 mi h Round your answers to three decimal places...
- Q Find the most general antiderivative of the function Check your answer by differentiation Use C for the constant of the antiderivative F x 2 t t t
- Q Find f Use C for the constant of the first antiderivative and D for the constant of the second antiderivative f x 25 6
- Q Find f f t 4 cost sec t 2 t 2 f 3 3
- Q A stone was dropped off a cliff and hit the ground with a speed of 80 ft s What is the height of the cliff Use 32 ft s for...
- Q Find f f x 20x 12x 6 f x Question Help Message instructor f 0 2 f 1 0
- Q Find f Use C for the constant of the first antiderivative and D for the constant of the second antiderivative f x 24x 15x 8x f x
- Q Find f f x 3 5x
- Q Find f Use C for the constant of the first antiderivative and D for the constant of the second antiderivative f x 10x sin z f x
- Q 1 Given a function of g x on 2 6 and g x 0 on 2 1 g x dx 10 g x 0 on 1 4 g x dx...
- Q 5 7C5
- Q 6 8C6
- Q 1 2 3 6 700 6 2 W 4 70 3 1 5 g x 2 1700 J 6 3 N 0 2 The functions and g have continuous second...
- Q 3 4 The graph of a twice differentiable function is shown in the figure above Which of the following is true A 1 1 0 B 1 0 S 1...
- Q 110 Find the collision probability of 1200 bytes IEEE 802 11 FH packet at 2 Mbps and the Bluetooth Assume dwell period of an 802 11 transmission to be 3...
- Q Orphof 9 Let be the function defined by f x cos 2x Leth be the function whose graph consisting of five line segments is shown in the figure above a...
- Q 3 25 Points Consider the region R bounded by y rr 25 below A 09876132 5 4 1 1 the z axi 2 2 a Setup the definite integral including...
- Q 2 2 20 Points Find the following antiderivatives ln x
- Q 4 10 Points Find the anti derivative of 1 1 x 13 dx
- Q 1 10 Points Compute lim sin 4x 0 2x 2x
- Q Using the left endpoint of each subinterval in a partition of 3 subintervals each of length 3 the approximate of by the corresponding Riemann sum is O a 8010 Ob...
- Q f x x 2x 15 xa q lim f x i X 3 find the lim
- Q Example 8 Is the function given by f x x 1 for x 4 x 7 for x 4 continuous at x 4 Why or why not
- Q 6 6 6 Evaluate log10 log100 log1000 log10000 in two different ways Explain your methods
- Q x y 2 2 4x 2y 2z 5 r x 2 2 y 1 2 z Center 1 Answer 1 x 2 2 y 1 2 z 1 2 1...
- Q 7 Patrick was asked to write an expression equivalent to 2log3x w5 He came up with 6log3x 5log3w Determine if his expression is equivalent or not Explain your answer
- Q Find the exact value of each expression 34 cos 1 35 sin 3 2
- Q The federal tax rate for single filers is given as a percentage of taxable income in the graph below Find a C lim r x b lim r x x...
- Q 42 cos 0 1 44 tan 0
- Q 37 cos 7 2
- Q Find the value of each trigonometric ratio 33 sin A A Z 36 35 cos Z B 15 C 39 28 35 Y 21 X 34 sin Z Z 24...
- Q Convert each radian measure into degrees 5 18 1 Convert each degree measure into radians 3 45 2 10T 3 4 300
- Q Find the value of each trigonometric ratio 62 cos C 32 C B 64 tan Z Z 27 Y 40 24 45 36 A X 63 tan Z X 18...
- Q 1 point Show that A APBP 16 53 14 3 13 31 are similar matrices by finding an invertible matrix P satisfyin and B
- Q Use the following graph of H to find each limit When necessary state that the limit does not exist lim H x X 2 a b lim H x X...
- Q A cell receives nutrients through its surface and its surface area is proportional to the two thirds power of its weight Therefore if w t is the cell s weight...
- Q Use the Laws of Logarithms to combine the expression 7 log x 8 log x 1
- Q Use the Laws of Logarithms to expand the expression log V 7x y 1 1 9 log 7 x log 7 y
- Q Sketch the graph of the function by making a table of values Use a calculator if necessary Simplify your answers completely Round your answers to four decimal places h x...
- Q Find f a f a h and the difference quotient f a h f a where h 0 h f x 9x 1 f a P f a h f...
- Q Find the function of the form y log x whose graph is given y II 1 0 0 5 0 5 1 0 2 3 1 3
- Q Sketch the graph of the function by making a table of values Use a calculator if necessary Simplify your answers completely Round your answers to four decimal places h x...
- Q Match the exponential function with one of the graphs labeled I or II Rx 5x 1 I 5 3 3 2 1 O The graph of f x 5 1...
- Q Use the Laws of Logarithms to expand the expression log V 7x y HODINY FR
- Q Express the equation in exponential form a log4 94 4 1 b log4 16 2
- Q Use the elimination method to solve the following initial value problem dR dt dJ dt J R R 0 1 J 0 0
- Q Determine the missing coordinates of the points on the graph of the function X X 3 x 2 X2 Y2 1 X3 Y3 ym 7 1 X1 y1 y R...
- Q Fill in the blank to complete the trigonometric identity Simplify your answer completely
- Q Find the sum 7 1 0
- Q Solve the logarithmic equation Round your answer to three decimal places log10 x 1 8
- Q Solve the exponential equation 3 81
- Q Find the inverse function of f informally Verify that f f x x and f f x x f x 5 x 4 f x
- Q Evaluate the indefinite integral given below using the indicated substitution 8x x 5x x dx u 5x8 x5 Provide your answer below CL
- Q A weight is oscillating on the end of a spring see figure The position of the weight relative to the point of equilibrium is given by y cos 8t 3...
- Q Find all solutions of the equation in the interval 0 2m algebraically Use the table feature of a graphing utility to check your answers numerically 7 sec x 7 tan...
- Q Evaluate the indefinite integral given below using the indicated substitution 2x 2x Provide your answer below 2x 4 dx u 2x 4
- Q The length of each of the two equal sides of an isosceles triangle is 10 meters see figure The angle between the two sides is 0 10 m a Write...
- Q Rewrite the expression in terms of the first power of the cosine Use a graphing utility to graph both expressions to verify that both forms are the same 3cos 2x
- Q Factor the expression and use the fundamental identities to simplify Use a graphing utility to check your result graphically 2 sec x 2 sec x 2 sec x 2
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